HELP SO EASY!!!!!! ASAP
A polygon is said to be equilateral if all of its sides are the same length. Find the perimeter of the equilateral polygon whose vertices are as follows.
(−2,−4), (1,0), (1,5), (−2,9), (−7,9), (−10,5), (−10,0), (−7,−4)
Answers
The perimeter of the equilateral polygon with the given vertices is given as follows:
40 units.
How to obtain the perimeter of the polygon?The perimeter of a polygon is composed by the sum of the lengths of the outer edges of the figure.
From the figure given at the end of the answer, the parameters for the polygon with these given vertices are given as follows:
8 side lengths.Each side length is of 5 units. (as the polygon is equilateral, meaning that the side lengths are equal).Then, considering the 8 side lengths and the fact that they measure 5 inches, the perimeter of the polygon is given as follows:
Perimeter = 8 x 5 = 40 units.
(sum of 8 times the number 5 is equals to the multiplication of eight by five).
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Related Questions
This equation has one solution.5(x – 1) + 3x = 7(x + 1)What is the solution?
Answers
The solution of the given equation is x = 12. The solution is the value, that satisfies the given equation.
What is a solution for an equation?A solution is a value, that satisfies the equation. A solution is also said to be a root for the equation. Depending upon the degree of the variable, the number of solutions for that equation is defined.Calculation:Given equation is 5(x - 1) + 3x = 7(x + 1)
On simplifying the equation, we get
5(x - 1) + 3x = 7(x + 1) ⇒ 5x - 5 + 3x = 7x + 7
⇒ 8x - 5 = 7x + 7
⇒ 8x - 7x = 7 + 5
⇒ x = 12
Therefore, the solution for the given equation is x = 12.
Here, the power or the degree of the variable x is 1 in the given equation. Thus, it has only one solution.
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What is the answer for page 785 CPM textbook
Answers
Step-by-step explanation:
????????????........
Given that a is a positive integer, show that
√3a(√12a + a√3a)
is always a multiple of 3.
Input note: write the expression in the form 3(...)
Answers
Answer:
[tex]3(a^2+2a)[/tex]
Step-by-step explanation:
[tex]\sqrt{3a}(\sqrt{12a}+a\sqrt{3a}) \\ \\ =\sqrt{36a^2}+a\sqrt{9a^2} \\ \\ =6a+a(3a) \\ \\ =3a^2+6a \\ \\ =3(a^2+2a)[/tex]
On a certain hot summer's day, 481 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $932.50. How many children and how many adults swam at the public pool that day?
Answers
By using simultaneous linear equation, it can be calculated that-
Number of children are 118 and number of adults are 363
What is simultaneous linear equation?
At first it is important to know about linear equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.
Here, a simultaneous linear equation needs to be solved
Let the number of children be x and number of adults be y
481 people used the public swimming pool.
x + y = 481 ..... (1)
The daily prices are $1.75 for children and $2.00 for adults.
Total price = $(1.75x + 2y)
By the problem,
1.75x + 2y = 932.50
7x + 8y = 3730 .... (2)
Multiplying (1) by 7
7x + 7y = 3367.... (3)
Subtracting (3) from (2)
y = 363
Putting the value of y in (1)
x + 363 = 481
x = 481 - 363
x = 118
Number of children are 118 and number of adults are 363
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if i have a 3-digit number times a 4-digit number, then we are guaranteed to have how many digits in the answer?
Answers
The points on this graph represent a relationship between - and y-values. Which
statement about the relationship is true?
It must be proportional because the points lie in a straight
line.
It cannot be proportional because the y-values are not
whole numbers.
(0,0)
CLEAR CHECK
It must be proportional because each time x increases by
2. y stays the same.
It cannot be proportional because a straight line through
the points does not go through the origin.
Answers
The graph cannot be proportional because y stays the same
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we can see that:
As x increases, the values of y remains unchanged
For the graph to be proportional, it must be a straight line that passes through the origin
And the variables must change
Hence, the true statement is the graph cannot be proportional
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one leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches. find the lengths of the legs of the triangle.
Answers
one leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches. Thus,
The lengths of the legs of the triangle are 18 inches,24 inches and 30 inches.
What is triangle?Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Given that,
one leg of a right triangle is 6 inches longer than the other leg.
hypotenuse is 30 inches.
Let assume, the other leg be x
It is given that, one leg of a right triangle is 6 inches longer than the other leg. So, One leg = x + 6
Since it is a right angled triangle,
h² = p² + b²
Where, h = hypotenuse
p = perpendicular
B = Base
So, (30)² = (x+6)² + x²
or, x = -24, 18
As, the length of side cannot be negative so x becomes 18.
Thus, x + 6 = 18 + 6 = 24 inches
Hypotenuse = 30 inches
Hence, the lengths of the legs of the triangle are 18 inches, 24 inches and 30 inches.
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Describe fully the graph which has equation x² + y² = 9
Answers
Answer:
Center: (0,0)
Radius: 3
Graph:
Please find attachment to view the graph.
Step-by-step explanation:
Please give the brainliest.
The ratio of the meaure of the three ide of a triangle i 9:7:5. It perimeter i 191. 1 inche olve for X
Answers
If the ratio of the measure of the three sides of the triangle is 9:7:5 and the perimeter is 191.1 inches, then the three sides of the triangle are 81.9 inches, 63.7 inches and 45.5 inches
The ratio of the measure of the three sides of a triangle = 9 : 7 : 5
Then three sides of the triangles = 9x, 7x and 5x
Where x is the constant
The perimeter of the triangle = 191.1
The perimeter of the triangle is the sum of the three sides of the triangle
Then the equation will be
9x + 7x + 5x = 191.1
21x = 191.1
x = 191.1 / 21
x = 9.1
The first side = 9x
= 9 × 9.1
= 81.9 inches
The second side = 7x
= 7 × 9.1
= 63.7 inches
The third side = 5x
= 5 × 9.1
= 45.5 inches
Therefore, the measure of the sides of the triangle is 81.9 inches, 63.7 inches and 45.5 inches
I have solved the question in general, as the given question is incomplete
The complete question is:
The ratio of the measures of the three sides of a triangle is 9:7:5. Its perimeter is 191.1 inches. Find the measure of each side.
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PQR is an isosceles triangle in which PQ = PR
M and N are points on PQ and PR such that angle MRQ = angle NQR.
D
Prove that triangles QNR and RMQ are congruent.
R
Answers
since we know that PQ and PR are twin sides, well, the angle they each make at the base are also twin angles, Check the picture below.
A fish was swimming 2 1/2 feet below the water's surface at 1:00 p.m. Three hours later, the fish was at a depth that is 3 1/4 feet below where it was at 1:00 p.m. What rational number represents the position of the fish with respect to the water's surface at 4:00 p.m. ?
Answers
The fish's position with respect to the water's surface at 4:00 p.m. is 3/4.
What is a fraction?
Any number of equal parts is represented by a fraction, which also means a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
Here, we have
Based on the given conditions, formulate: 3 1/4 - 2 1/2
Remove the parentheses: 3 + 1/4 - 2 - 1/2
Reorder and combine like terms: (3-2)+1/4 - 1/2
Calculate the sum or difference: 1+ 1/4 - 1/2
Expand the fraction to get the least common denominator: 4/(1×4) + 1/4 - 2/(2×2)
Calculate the product or quotient: 4+1/4 - 2/(2×2)
Calculate the product or quotient: 4 + 1/4 - 2/4
Write the numerators over the common denominator: 4 + 1 -2/4
Calculate the sum or difference: 5 - 2/4
Calculate the sum or difference: 3/4
Hence, the fish's position with respect to the water's surface at 4:00 p.m. is 3/4.
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The path of a submarine can be modeled by d=0.012t-5.29t where d is the depth the submarine reaches and t is the number of hours the submarine is submerged
a. find the vertex. Then explain the relevance of this point in the context of this problem. Round to the nearest tenth
b. Find the number of hours the submarine was submerged. round to the nearest tenths.
HELP THIS IS DUE TOMMOROW :((
ALGEBRA 2 (Quadratic equations and functions)
Answers
a) The vertex of the problem is given as follows: (220, -583), meaning that the minimum depth reached by the vertex is of 583 after 220 hours.
b) The submarine was submerged for 440.1 hours.
What is the quadratic function?The quadratic function in this problem is defined as follows:
d(t) = 0.012t² - 5.29t.
Which gives the depth of the submarine after t hours.
The coefficients of the equation are given as follows:
a = 0.012, b = -5.29.
Then the t-coordinate of the vertex is given as follows:
t = -b/2a = 5.29/(2(0.012)) = 220.
The minimum depth is then of:
d(220) = 0.012(220)² - 5.29(220) = -583.
This is a concave up parabola, which is the reason why the vertex is a minimum.
The roots of the function are given as follows:
0.012t² - 5.29t = 0
t(0.012t - 5.29) = 0.
Hence:
t = 00.012t - 5.29 = 0 -> t = 5.29/0.012 -> t = 440.1.Meaning that the submarine was submerged for 440.1 hours.
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Select all the equations that represent the line.
Multiple select question.
A)
2x – 3y= –1
B)
2x+3y= –3
C)
3x – 2y=2
D)
y+3= –23(x – 3)
E)
y – 1= –23(x+3)
F)
y+1= –32(x+3)
Answers
The equations that represent the line are:
B. 2x + 3y = –3
D. y + 3= –2/3(x – 3)
E. y – 1 = –2/3(x+3)
What is the Equation that Represents a Line?An equation that represents a line whose slope is given as m, and it intercepts the y-axis at b, is expressed in slope-intercept form as y = mx + b.
To find the equation of the given line above, pick two points on the line, (0, -1) and (-3, 1) and find the slope (m):
Slope of the line (m) = change in y / change in x = (1 - (-1)) / (-3 - 0)
Slope of the line (m) = 2 / -3
Slope of the line (m) = -2/3.
The line intercepts the y-axis at -1. This means the y-intercept of the line is b = -1.
To write the equation of the line, substitute m = -2/3 and b = -1 into y = mx + b:
y = -2/3x - 1
It can be rewritten as 2x + 3y = –3 in standard form, or as y + 3= –2/3(x – 3) or y – 1 = –2/3(x+3) in point-slope form.
Therefore the answers are:
B. 2x + 3y = –3
D. y + 3= –2/3(x – 3)
E. y – 1 = –2/3(x+3)
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(04.04 MC)
The graph of two functions is shown.
graph of f of x equals negative x squared plus x and g of x equals x minus 1
If x = −1 is a solution to f(x) = −x2 + x and g(x) = x − 1, why is it also a solution to f(x) = g(x)?
a
It is a solution to f(x) = g(x) because it is the x-intercept of the two graphs.
b
It is a solution to f(x) = g(x) because it is the y-intercept of the two graphs.
c
It is a solution to f(x) = g(x) because it is the x-coordinate where the two graphs intersect.
d
It is a solution to f(x) = g(x) because both graphs are negative at x = −1.
Answers
The correct option is c. It is a solution to f(x) = g(x) because it is the x-coordinate where the two graphs intersect.
How to determine why x = −1 is also a solution to f(x) = g(x)?
x = −1 is also a solution to f(x) = g(x) because it is asking for the values of x that make f(x) equal to g(x). In this case, x = −1 is a value that makes both f(x) and g(x) equal to −1, so it is a solution to the equation f(x) = g(x).
The graph of f(x) = g(x) is simply the set of all points that are on both the graph of f(x) and the graph of g(x)
These points are the points where the two graphs intersect. In this case, the graph of f(x) = g(x) is a single point at x = −1, which is the x-coordinate where the two graphs intersect
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Plssssss helppp fast
A. p = 70
B. p = 140
C. p equals 2 over 140
D. p = 0.0143
Answers
Option (a) is correct option.
What is constant of proportionality?The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality.
Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality. When two or more parameters are proportional to one another either directly or indirectly, their relationship is stated as a = kb or a = k/b, where k denotes the direction of the relationship between the two variables.The proportionality constant is thus k.
Constant of proportionality in given case is nothing but slope of given graph.
Slope is given by tangent of the angle made by line with positive x-axis.
p =slope of line
p = [tex]\frac{y-axis}{x-axis}[/tex]
p=[tex]\frac{140}{2}[/tex] = 70
So option (a) is correct.
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How much fertilizer is needed for a 200 square-foot garden
Answers
Answer:2 to 4 pounds per
Step-by-step explanation:
Carissa works as a babysitter during her summer vacation. She gets paid one rate for daytime hours and a higher rate for nighttime hours. One week, she worked 12 daytime hours and 4 nighttime hours and earned $120. The next week, she earned $60 for a total of 4 daytime hours and 3 nighttime hours. Let x represent the hourly daytime rate and y represent her hourly nighttime rate. 12 x + 4 y = 120. 4 x + 3 y = 60. What is the solution to the system of equations? (3,4) (4, 12) (6, 12) (10, 30).
Answers
The solution of the given system of equation is (6, 12). So the option c is correct.
In the given question, Carissa works as a babysitter during her summer vacation.
She gets paid one rate for daytime hours and a higher rate for nighttime hours.
One week, she worked 12 daytime hours and 4 nighttime hours and earned $120.
The next week, she earned $60 for a total of 4 daytime hours and 3 nighttime hours.
Let x represent the hourly daytime rate and y represent her hourly nighttime rate.
The system of equations is
12 x + 4 y = 120……………(1)
4 x + 3 y = 60……………(2)
We have to find the solution to the system of equations.
To find the solution for the system of equation we solve the given equation using elimination method.
Multiply equation by 3 on both sides, we get;
12x + 9y = 180
Subtract equation 3 and 1
12x+9y-(12x+4y)=180-120
12x+9y-12x-4y=60
5y=60
Divide by 5 on both side, we get;
y=12
Now putting the value of y in equation 2
4x+3×12=60
4x+36=60
Subtract 36 on both side, we get
4x=24
Divide by 4 on both side, we get
x=6
Hence, the solution of the given system of equation is (6, 12). So the option c is correct.
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Answer: (6, 12)
Step-by-step explanation: did edge test
Solve for xxx.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
4x+4\leq9x+84x+4≤9x+8
Answers
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
4x + 4 ≤ 9x + 84x + 4 ≤ 9x + 8
84x ≤ 4
x ≤ 1/21
x ≤ 0.05
Thus,
The value of x is less than or equal to 0.05.
x ≤ 0.05
What is inequality?
It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
4x + 4 ≤ 9x + 84x + 4 ≤ 9x + 8
Adding the like terms.
4x + 4 ≤ 93x + 4 ≤ 9x + 8
Subtracting 4 on all sides.
4x ≤ 93x ≤ 9x + 4
Subtracting 4x on all sides.
0 ≤ 93x - 4x ≤ 5x + 4
We can write it as,
89x ≤ 5x + 4
89x - 5x ≤ 4
84x ≤ 4
x ≤ 4/84
x ≤ 1/21
x ≤ 0.05
Thus,
The value of x is less than or equal to 0.05.
x ≤ 0.05
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Can anyone help with this? My friend's brain cells hurt :')
Answers
The required value of n for two similar pentagons is 15/4.
What is Scale factor?The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.
The given two pentagons have similar shape because one has been scaled to get the other.
It implies that the ratio of the corresponding sides for them will be equal. It can be written as follows,
5/n = 3(¹/₃)/2(¹/₂)
=> 5/n = (10/3)/(5/2)
=> 5/n = 20/15
=> n = 15/20 × 5
=> n = 15/4
Hence, the value of n for the given pentagon is 15/4.
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Here are the first four terms of
an arithmetic sequence.
5 8 11 14
Find an expression, in terms of
for the..th term of the
sequence.
Answers
————————————————-
Is (r-4) a factor of 6r^4-17r^3-46r^2+77r-20? What are the steps and how would you know if it’s a factor?
Answers
Answer:
see explanation
Step-by-step explanation:
By the Factor theorem, if (x - a) is a factor of f(x) then f(a) = 0
if (r - 4) is a factor then substituting r = 4 into the polynomial should result in it having a value of zero, that is
6[tex]r^{4}[/tex] - 17r³ - 46r² + 77r - 20 ( substitute r = 4 )
= 6[tex](4)^{4}[/tex] - 17(4)³ - 46(4)² + 77(4) - 20
= 6(256) - 17(64) - 46(16) + 308 - 20
= 1536 - 1088 - 736 + 288
= 0
Then (r - 4) is a factor of the polynomial
help me pleaseeeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!
Answers
5% of $1100 = 55
Year given = 7
So, 55 × 7 = 385
She would get after 7 years all total = (1100 + 385) = $1485
If 3% of a number equals 15, find 12% of that number.
Answers
Answer: 60
Step-by-step explanation:
3 / 100 * x = 15
3x = 1500 multiply both sides by 100
x = 500
500x0.12 = 60
The 12 percentage of the number is A = 60
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let's call the number we're looking for N
We can set up an equation based on the information given:
0.03N = 15
To solve for N, we can divide both sides by 0.03:
N = 15 / 0.03
N = 500
So the number we're looking for is 500
Now , the percentage value is = 12 %
And , we can find 12% of that number by multiplying it by 0.12:
A = 0.12 x 500 = 60
Hence , 12% of the number is 60.
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27 POINTS
Which graph passes the vertical line test?
Answers
Answer:
C
Step-by-step explanation:
If you draw multiple vertical lines through each graph, C is the only graph that touches the line once. Which means it passes the vertical line test.
please help hard question
Answers
Answer:
Use Pyramid Formua to get upper height.
And add with 5m lower height.
f(x)=(5[tex]\sqrt[5]{x}[/tex])^7
Answers
The answer to this Question is (5^7)*(x^7/5), the question is based on exponents laws
What are exponent laws?
These are some basic laws in maths that helps us to simplify the complicated expressions easily
Solution:
Here we can first distribute the power 7 to both 5 and 5th root of x by exponent laws
we get 5^7 * 5th root(x)^7
now we know nth root(x) = x ^1/n
we will do the same as
we get 5^7 * x^7/5 which is our required answer and there many more properties of exponents that we study in higher classes
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1. How many one-cup servings of milk are in a two-liter bottle? Round your answer to the nearest tenth.
Answers
Answer:
8.0
Step-by-step explanation:
There are 1000 milliliters in one liter, so a two-liter bottle contains 1000 * 2 = 2000 milliliters of milk. Since one cup contains approximately 250 milliliters, a two-liter bottle contains 2000 / 250 = 8 cups of milk. Rounding this value to the nearest tenth, we find that there are approximately 8.0 one-cup servings of milk in a two-liter bottle.
The coordinate plane shows a circle with its center at the origin, and a transformation of point (1, 1) to form its image (T2, 32).
(X₁. Y₁)
Both (1, ₁) and (2, 2) are located on the circle. Which best describes the transformation?
Answers
The option that best describe the transformation is
a rotation of the point along the circle through a certain angleWhat is transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.
Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
the transformation is the problem is reflection which is equivalent to 180 degree rotation hence we say it is a certain angle rotation of point about the circle's center.
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please tiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answers
Answer:
Explanation: Its D.
911: Wang Xiu Ying has 109 dollars in her savings account. She has -21 dollars in her checking account. whats a inequality that compares the correct amount of values.
Answers
109 dollars in her savings account is greater than -21 dollars in her checking account, that is 109 > -21. When comparing values that may not be equal that is, when one value is bigger or less than another inequalities are utilised.
What is inequalities?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols >, <, ≤ or ≥. indicate that the two expressions in an inequality are not always equal.You can add the same amount to each side, take the same amount away from each side, multiply or divide each side by the same positive amount, and so on to solve an inequality. You must flip the inequality symbol if you multiply or divide each side by a negative number.To learn more about inequalities refer :
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