Answer:
Isosceles triangle. An Isosceles triangle is a triangle that has 2 equal sides and 2 equal angles
Step-by-step explanation:
Determine the y-intercept of the graph.
Answer:
Your y intercept is 1.
Step-by-step explanation:
slope is y2-y1 over x2-x1, or 2.
slope intercept formula is y=mx+b, and if you plug values into formula you get 3=2(1)+b
and if you solve that, 2x1=2, 3-2=1.
then you get 1 as your y intercept.
Which linear equation represents a line with a slope of -7 and a y-intercept of 12
Answer:
Answer → y = -7x + 12
Step-by-step explanation:
General equation of a line:
[tex] \hookrightarrow \: { \tt{y = mx + c}} \\ [/tex]
m is the slopec is the y interceptFrom the question;
m is -7
c is 12
[tex]{ \tt{y = - 7x + 12}}[/tex]
identify the steeper line y = 3x + 4 or y = 6x + 11
Answer:
y=6x+11
Step-by-step explanation:
The slope of y=3x+4 is 3 and the slope of y=6x+11 is 6.
Hope this helps :)
y = 3x + 4 is the steeper line with the slope 3
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two lines are y = 3x + 4 and y = 6x + 11
In the given line y = 3x + 4
The slope of the line is 3
In the given line y = 6x + 11
The slope of the line is 6
Among the two lines the line y = 3x + 4 has less slope. So the the steeper line y = 3x + 4
Hence, y = 3x + 4 is the steeper line with the slope 3
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
The ratio of boys to girls in Mr. Baker’s social studies class is 2 to 3. If there are 30 total students in the class, how many more girls are in the class than boys?
Answer:
There would be 10 more Girls.
can someone help me please
Answer:
Step-by-step explanation:
One
The exterior angles of a triangle add up to 360. You know two of them. Therefore you can find w.
125 + 90 + w = 360 Combine like terms on the left
215 + w = 360 Subtract 215 from both sides
w = 360 - 215 Combine
w = 145
Two.
The polygon has 4 exterior angles. They too should add up to 360.
88 + x + 108 + 115 = 360 Combine the left had side
x + 311 = 360 Subtract 311 from both sides
x = 360 - 311 Combine
x = 49
What have you learned? You should notice that all polygons have exterior angles that add up to 360
Can someone please help me with part b?
Answer:
x-intercept(s): (-2, 0), (6, 0)
y-intercept(s): (0, -6)
Step-by-step explanation:
An x-intercept represents the point(s) at which the parabola intersects the x axis. A parabola can have 0, 1, or 2 x-intercepts.
A y-intercept represents the point at which the parabola intersects the y axis. A parabola always has exactly 1 y-intercept.
Hope it helps :) and let me know if you're still confused.
A builder is buying boxes of nails. She has $187 to spend and each box of nails costs $4.
Answer:
46 boxes of nails
Step-by-step explanation:
She has $187 to spend, the maximum.
187/4 = 46.75
Since she cannot buy 0.75 of a box of nails, she can only buy 46. So she is left with an extra $3 and buys 46 boxes of nails.
Hope this helps, and please mark me the brainliest! :D
Patrice and her husband are going on a 6-mile hike. So far they have hiked
3 miles. How much farther do Patrice and her husband have left to hike?
3
Answer:
3 miles
Step-by-step explanation:
6 total miles
3 miles done
6 (total) = 3 (done) + x (unknown)
x = 6 - 3
x = 3
3 miles left to hike
Answer:
THERE IS NO QUESTION
Step-by-step explanation:
Se tiene la siguiente proporción 2/5=8/x cual es el valor de x para que esta sea verdadera?
I need help with this please.
1. Which value is the closest to 1/9 • 24/25 (fractions)
a. 0
b. 0.5
c. 1
d. 21/20 (fraction)
Explain your answer:
Answer:
Option A: 0
Step-by-step explanation:
Given the multiplication of fractions, [tex]\huge\mathsf{\frac{1}{9} \:\times\frac{24}{25}}[/tex]:
Simply multiply the numerators (together), as well as the denominators.
In other words:
[tex]\huge\mathsf{\frac{1}{9} \:\times\frac{24}{25}\:=\frac{1\:\times\:24}{9\:\times\:25}\:=\:\frac{24}{225}}[/tex]
Since 24 and 225 do not have common multiples, then we cannot simplify the fraction into its lowest terms.
Next, in order to find out which is the closest value to the product, [tex]\huge\mathsf{\frac{24}{225}}[/tex], divide the numerator by the denominator, which gives you the following quotient:
[tex]\huge\mathsf{\frac{24}{225}\:=\:24\:\div\:225\:=\:0.1067}[/tex] or 0.11.
We must compare this quotient with the other options:
Option A) 0: This is a possible answer, since rounding 0.11 to the nearest ones (whole number) is 0.
Option B) 0.5: Unlikely a valid answer, since the digit on the hundreths place is 0.11, and rounding it up to the nearest tenths will become 0.1.
Option C) 1: Definitely not a valid answer, according to the explanations provided in Options A and B.
For Option D) [tex]\huge\mathsf{\frac{21}{20}}[/tex] , we need to find its equivalent decimal form by dividing its numerator by the denominator: [tex]\huge\mathsf{\frac{21}{20}\:=\:21\:\div\:20\:=\:1.05}[/tex]. Hence, it is also not a valid answer, according to the explanations provided in Options A and B.
Therefore, the closest value to [tex]\huge\mathsf{\frac{24}{225}\:=\:0.11}[/tex] is Option A) 0.
What would the slope of a line perpendicular to y=-4x+5 equal?
Answer:
Using the slope-intercept form, the slope is 4 4 .
Answer: Using the slope-intercept form, the slope is 4 4 .
Explanation: so your answer is 4 4.
equivalent to -36 - 8
Answer:
-44
Step-by-step explanation:
Answer: -44
Step-by-step explanation: same as 36 + 8 and make the answer negative.
At the end of June, the rainfall for the year, so far, was 9.9 inches above normal. During the second half of the year, it rained 3.38 inches below normal. What amount of rainfall fell above or below normal for the entire year! Pls hurry! Will mark brainliest.
Answer:the 3.38 answer
Step-by-step explanation:
Which expression is equivalent to the given expression?
Step-by-step explanation:
16x²y⁵16x²y⁵ is the answer
Mark me BRAINLIEST pls!HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Compounds A and B are used in an experiment. The equation y=1200(12)x represents the remaining amount of compound A, in grams, after x minutes. The table shows the remaining amount of compound B. Time (min) Grams of B 1 750 2 375 3 187. 5 What is the positive difference in the initial amount of each compound? Enter your answer in the box. G.
Answer:
Yamete Kodasai
Step-by-step explanation:
Thankyou sa pnts
desde que empezó la cuarentena, el consumo de energía eléctrica en mi casa se ha incrementado. Es porque estamos todos en casa sin salir, usando la computadora, televisión y otros artefactos a la vez. El último recibo nos vino por julio y agosto, ya que no pudimos salir a pagar por la cuarentena, pero el recibo se extravió. Solo alcanzo a recordar que el monto total era de 150 soles y que en julio el consumo fue 20 soles menos que en agosto. ¿Cuánto fue nuestro consumo en julio y agosto? Verifica tu respuesta.
Answer:
Julio: 65 soles
Agosto: 85 soles
Step-by-step explanation:
julio: x
agosto: x + 20
x + x + 20 = 150
2x + 20 = 150
2x = 130 x = 65
julio: x = 65
agosto: x + 20 = 85
verificacion: 65 + 85 = 150
julio [65] = 20 menos que agosto [85]
Answer:
Julio: 65 soles
Agosto: 85 soles
The consumption in July was 65 soles and the consumption in August was 85 soles.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Let's call the amount of consumption in July "C1" and the amount of consumption in August "C2".
We know that:
C1 + C2 = 150 (the total consumption for both months)
C2 = C1 + 20 (August consumption was 20 soles more than July)
We can substitute the second equation into the first equation to get:
C1 + (C1 + 20) = 150
Simplifying this equation, we get:
2C1 + 20 = 150
Subtracting 20 from both sides, we get:
2C1 = 130
Dividing both sides by 2, we get:
C1 = 65
So the consumption in July was 65 soles.
Using the second equation, we can find the consumption in August:
C2 = C1 + 20 = 65 + 20 = 85
So the consumption in August was 85 soles.
We can check that these values are correct by verifying that they add up to the total consumption of 150 soles:
65 + 85 = 150
Therefore,
The consumption in July was 65 soles and the consumption in August was 85 soles.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ3
The complete question:
Since the quarantine began, the consumption of electrical energy in my house has increased. It is because we are all at home without going out, using the computer, television and other devices at the same time. The last receipt came to us in July and August, since we could not go out to pay for the quarantine, but the receipt was lost. I can only remember that the total amount was 150 soles and that in July consumption was 20 soles less than in August. How much was our consumption in July and August? Check your answer.
1) 6p + 12 - 2 = 8p + 4
6p + 12 - 2 = 8p + 4
6p + 10 = 8p + 4
6p - 8p = 4 - 10
-2p = -6
2p = 6
p = 3
Answer:
p = 3
Step-by-step explanation:
First, simplify. Combine like terms. Like terms are terms with the same variable as well as same amount of said variable:
6p + (12 - 2) = 8p + 4
6p + (10) = 8p + 4
Isolate the variable, p. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& roots)
Multiplications
Divisions
Addition
Subtraction
First, subtract 8p and 10 from both sides of the equation:
6p (-8p) + 10 (-10) = 8p (-8p) + 4 (-10)
6p - 8p = 4 - 10
-2p = -6
Next, isolate the variable, p, by dividing -2 from both sides of the equations:
(-2p)/-2 = (-6)/-2
p = -6/-2
p = 3
3 is your answer.
~
Which of the following is a correct equation for the line passing through the
point (-1,4) and having slope m= -3?
Check all that apply.
V=-
O A.
-*-3
B. 3x+y=1
O c. y= - 3x + 1
D. 7–4= – 3(x+1)
SUBMIT
Answer:
C
Step-by-step explanation:
m = -3
y = mx +b
y = -3x + b
Plugin x = -1 and y = 4
4 = -3*(-1) +b
4 = 3 + b
4-3 = b
b = 1
y = -3x + 1
Answer:
B, C, D
Step-by-step explanation:
The equation of a line in point slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 3 and (a, b ) = (- 1, 4 ) , then
y - 4 = - 3(x - (- 1) ) , that is
y - 4 = - 3(x + 1) → D
Distribute parenthesis
y - 4 = - 3x - 3 ( add 4 to both sides )
y = - 3x + 1 → C
Add 3x to both sides
3x + y = 1 → B
Use the vertical-line test to determine whether each graph represents a function.
Answer:
14) Not a function 15) Function 16) Function
Step-by-step explanation:
The vertical line test is when you draw a line on the graph to see if it passes the function. The rule is that you can only have one intersection per line
for number 14, if you draw a line, it intersects the function twice each time
for 15, no matter what kind of vertical line you draw, each line will only intersect the function once and the same for 16 (except 16 is more of a linear function)
Answer:
Well a function can’t be on the same one as each other so thats why the vertical line test is used.
For number 14 if you’d draw a vertical line, you’d see there would be 2 answers So that can’t be a function.
For number 15, if you draw a vertical line, none of the given have 2 questions so number 15 is a function.
Whilst in number 16 if you’d draw a vertical line, there wouldn’t be anything that have 2 answers of that overlap. So it is a function
CAN SOMEONE PLEASE HELP ME!! this is like my 4th time trying to re-answer this question so PLEASE help!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.
∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?
DE = ______ m∠E = ________
Answer:
go to https://www.rcboe.org/cms/lib010/GA01903614/Centricity/Domain/1030/Ch.%203.3.pdf
Step-by-step explanation:
i think that will help
The length of the base of an isosceles triangle is x. The length of a leg is 3x - 6. The perimeter of the triangle is 58. Find x.
Answer:
x = 10
Step-by-step explanation:
Perimeter of a triangle = the sum of the three sided of the triangle.
In an isosceles triangle, there are two equal sides and a base.
Perimeter = ( 3x - 6) + (3x - 6) + x
58 = 7x - 12
58 + 12 = 7x
70 = 7x
[tex]\frac{70}{7} = \frac{7x}{7}[/tex]
10 = x
Which statement is true about the polynomial 3x2y2 − 5xy2 − 3x2y2 + 2x2 after it has been fully simplified?
Answer: Varies
Step-by-step explanation:
There would still be some Xs and Ys.
HELP ME PLEASE
whats 9+10?
Answer:
21
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
Please answer quickly
Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.
f(x)=x+a/b
g(x)=cx-d
Part 2. Show your work to prove that the inverse of f(x) is g(x).
Part 3. Show your work to evaluate g(f(x)). Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include five values for each function. Graph the line y=x on the same graph.
Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include five values for each function. Graph the line y=x on the same graph.
Task 2
Part 1. Create two radical equations: one that has an extraneous solution, and one that does not have an extraneous solution. Use the equation
a√x+b+c=d
Part 2. Use a constant in place of each variable a, b, c, and d. You can use positive and negative constants in your equation. Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous.
Part 3. Explain why the first equation has an extraneous solution and the second does not.
f(x)=(x+a)/b
or bf(x)=x+a
let f(x)=y
by=x+a
flip x and y
bx=y+a
or y=bx-a
or f^{-1}(x)=bx-a
also g(x) is inverse of f(x)
bx-a=cx-d
so b=c,a=d
again let g(x)=y
y=cx-d
flip x and y
x=cy-d
cy=x+d
y=(x+d)/c
or g^{-1}(x)=(x+d)/c
also f(x) is inverse of g(x)
so (x+a)/b=(x+d)/c
so a=d,b=c
so in either case a=d,b=c
take b=c=1
a=d=2
f(x)=(x+2)/1=x+2
g(x)=1x-2=x-2
so f(x) and g(x) are two parallel lines f(x) with y- intercept=1 and slope 0
g(x) with y-intercept -2 and slope 0
if we take b=c=2,a=d=3
f(x)=(x+3)/2=x/2+3/2
g(x)=2x-3
here f(x) is of slope 1/2 and y-intercept 3/2
g(x) is of slope 2 and y intercept -3
part 3.
f(f(x))=g((x+a)/b)=c[(x+a)/b]-d=(c/b)(x+a)-d
An inverse function or an anti function exists described as a function, which can change into another function. In other words, if any function “f” carries x to y then, the inverse of “f” will carry y to x.
Part 1: f(x) = (x+2) / 3 and g(x) = 3y-2.
Part 2: g(x) = 3x - 2, the inverse.
Part 3: g(f(x)) = x showing that f(x) and g(x) are mutual inverses.
What is inverse function?
An inverse function in mathematics exists function which "reverses" the another function.
TASK 1
Part 1
Let y = f(x) = (x + a) / b
x = g(y) = by-a = cy-d,
so c = b and d = a.
Let d = a = 2 and c = b = 3
f(x) = (x+2) / 3 and g(x) = 3y-2.
Part 2
y = f(x) = (x+2) / 3
3y = x+2
x = 3y-2 = g(y)
so g(x) = 3x - 2, the inverse.
Part 3
g(f(x)) = 3
f(x)-2 = 3(x+2)/3-2 = x+2-2 = x,
so g(f(x)) = x showing that f(x) and g(x) exists mutual inverses.
x -2 -1 0 1 2
f(x) 0 1/3 2/3 1 4/3
g(x) -8 -5 -2 1 4
Part 4
The graph is given below.
TASK 2
Part 1
(a) Let a=1, b=2, c=3, d=6: [tex]$\sqrt{x}[/tex]+2+3=6 ; [tex]\sqrt{x}[/tex]-6=-5
(b) Let a=-1, b=2, c=3, d=4
(a) Multiply both sides by
[tex]$\sqrt{x}+6: x-36=-5(\sqrt{x}+6)=-5 \sqrt{x}-30[/tex]
[tex]$ x-36+30=-5 \sqrt{x }[/tex]
[tex]$ x-6=-5 \sqrt{x}$[/tex]
Square both sides:
[tex]$x^{2} -12 x+36=25 x ; x^{2} -37 x+36=0=(x-36)(x-1)$[/tex].
Part 2
(a) So x=36 or 1 (apparently).
Substitute x=36 in the original equation: 6+2+3=6, 11=6 is not true.
So x=36 is an extraneous solution.
substitute x=1: 1+2+3=6 is true, so x=1 exists the actual solution.
(b) [tex]$-\sqrt{x}+2+3=4 ;-\sqrt{x}=-1$[/tex]; multiply both sides by -1: [tex]$\sqrt{x}=1$[/tex]; square both sides: x=1.
Substitute x=1 in the original equation: -1+2+3=4 is true.
So x = 1 is the solution.
Part 3
(a) the act of squaring both sides resulted in creating an extraneous solution [tex]$\left((-5)^{2} =25=5^{2} \right)$[/tex].
(b) the solution was simpler and there was no ambiguity.
To learn more about inverse function
https://brainly.com/question/11735394
#SPJ2
A line passes through (0, 2) and has a slope of 1/3.
What is the equation of the line in slope-intercept form?
A) y=1/3x+2
B) y=1/3x−2
C) y=−1/3x+2
Answer:
A)
y=1/3x +2
Step-by-step explanation:
equation of line is y=mx+c
so here the points are (0,2) and the gradient,m is 1/3
the y-intercept, c is 2
as when substituting the result is 2 for the y-intercept
substituting:y=mx+c (0,2)
2=1/3 (0) +c
c= 2
The equation of the line is y=1/3x +2 if a line passes through (0, 2) and has a slope of 1/3 option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope-intercept form of the line is:
y=mx+c
The points are (0,2) and the gradient,m is 1/3
c= 2
y = x/2 + 2
Thus, the equation of the line is y=1/3x +2 if a line passes through (0, 2) and has a slope of 1/3 option (A) is correct.
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ2
Write the equation of a line whose roots are -5 and -6
Answer:
Step-by-step explanation:
a = -5 and b = -6
x² - (a +b)x + ab = 0
x² - (-5 - 6)x + (-5)*(-6) = 0
x² - (-11)x + 30 = 0
x² + 11x + 30 = 0
A trader has a mixture of 5c and 10c coins. He has 50 coins in all, with a total value of $4.20. How many of each coin does he have?
Answer:
16 5c coins
34 10c coins
Step-by-step explanation:
(I prefer to use whole numbers)
5x + 10y = 420
x+y=50
multiply the bottom problem by -5
5x +10y =420
-5x -5y = -250
combine the problems
5y = 170
divide by 5
y = 34
that means x = 16
34 10c coins
16 5c coins
-- Gage Millar, Algebra 1/2 tutor
The number of 5 cent coins are 16 and the number of 10 cent coins are 34.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, a trader has a mixture of 5 c and 10 c coins.
Let the the number of 5 c coins be x and the number of 10 c coins be y.
He has 50 coins in all, with a total value of $4.20.
So, x+y=50 ---------(I)
5x+10y=420 ---------(II)
Multiply equation (I) by 5, we get
5x+5y=250 ---------(III)
Subtract equation (III) from (II), that is
5x+10y-(5x+5y)=420-250
⇒ 5y=170
⇒ y=34
Substitute y=34 in equation (I), we get
x=16
Therefore, the number of 5 cent coins are 16 and the number of 10 cent coins are 34.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ2
What function represents the next graph?
Answer:
Option 1: y = (x - 2)² + 2
Step-by-step explanation:
Given the vertex, (2, 2), of an upward-facing parabola, and using the y-intercept of the graph, (0, 6):
Definitions:The vertex form of the quadratic equations is:
y = a(x - h)² + k
where:
(h, k) is the vertex.
The value of h represents the horizontal translation of the graph. h > 0 represents the horizontal shift of the graph h units to the right. h < 0 shifts the graph |h | units to the left. The value of k represents the vertical translation of the graph. k > 0 shifts the graph k units upward. k < 0 shifts the graph |k | units down.The sign of a determines the direction of the graph's opening. The value of a also determines the vertical stretch or shrink of the graph.
If a is positive (or a > 1), then the graph opens upward. The value of a > 1 also represents the vertical stretch of the graph. If a is negative (or a < 0), then the graph opens down.The value of 0 < a < 1 represents the vertical shrink or compression of the graph. Solution:Substitute the values of the vertex (2, 2) and the y-intercept, (0, 6) into the vertex form to solve for the value of the coefficient, a:
y = a(x - h)² + k
6 = a(0 - 2)² + 2
6 = a(-2)² + 2
6 = 4a + 2
Subtract 2 from both sides
6 - 2 = 4a + 2 - 2
4 = 4a
Divide both sides by 4 to solve for a :
[tex]\displaytext\mathsf{\frac{4}{4} \:=\frac{4a}{4}}[/tex]
a = 1
Quadratic Equation in Vertex Form:Therefore, given the vertex, (2, 2) and a = 1, the quadratic equation in vertex form is: y = (x - 2)² + 2, thereby matching Option 1.