Answer: m= -1/2
Step-by-step explanation: Equation of line in slope intercept form is represented by,. y= mx+c —-(1). Given that the line p passes through A (- 2, 4) and has a slope m= -1/2.
What is the equation of the line that passes through (7,4) and (4, -2)?
Oy=2x-10
Oy=-2x-10
Oy=2x+18
Oy=-2x+18
[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{7}}} \implies \cfrac{ -6 }{ -3 }\implies 2[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{2}(x-\stackrel{x_1}{7}) \\\\\\ y-4=2x-14\implies {\Large \begin{array}{llll} y=2x-10 \end{array}}[/tex]
Divide negative 2 and 3 over 4 ÷ negative 5 and 1 over 7.
negative 77 over 144
negative 221 over 28
221 over 28
77 over 144
The fractions are divided to give 77/144. Option A
What is a fraction?A fraction can simply be defined as the part of a whole set or element.
The types of fractions includes;
Improper fractionsProper fractionsMixed fractionsComplex fractionsSimple fractionsExamples of simple fractions are: 1/2 , 1/4
Examples of proper fractions are; 2/3, 5/6
Examples of improper fractions are; 5/3, 9/7
Examples of mixed fractions are; 2 1/2, 3 1/4
Given the expression as;
2 3/4 ÷ 5 1/7
Turn into improper fractions
11/4 ÷ 36/7
Take the inverse of the divisor
11/4 × 7/36
Multiply the numerators and denominators
77/144
Thus, the value is 77/144
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Answer: #1 / A
Step-by-step explanation:
What value of b will cause the system to have an infinite number of solutions?
y = 6x – b
–3x + StartFraction one-half EndFractiony = –3
b =
2
4
6
8
The value of b that will cause the system to have an infinite number of solutions is 6.
System of equationGiven the following system of equation expressed as:
y = 6x – b
-3x + 1/2 y = -3
Rewrite equation 2:
1/2 y = 3x - 3
y = 6x - 6
Equate the right hand side of both equations
6x - b = 6x - 6
For the equation to have infinite number of solutions, the expression on both sides must be the same.
Comparing both sides;
-b = -6
b = 6
This gives the required value of b
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You pay no federal taxes up to $9,525, 12% for income from $9,526 up to $38,700, 22% for income from $38,701 up to $82,500. If your income is $57,890, how much in taxes do you need to pay?
With an income of $57,890, you need to pay $12,735.8 in taxes.
What is mean by proportion?
A proportion is a fraction of a total amount, in which two ratios are set equal to each other.
Given that;
For incomes from $38,701 up to $82,500, you need to pay 22% in taxes.
And, No federal taxes up to $9,525, 12% for income from $9,526 up to $38,700, 22% for income from $38,701 up to $82,500.
Now,
An income of $57,890 is in this range, hence the amount paid is given by;
Amount paid = 57890 x 22%
= 57890 x 0.22
= $12,735.8.
So, Paid amount for the tax = $12,735.8
Thus, With an income of $57,890, you need to pay $12,735.8 in taxes.
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PLS HELP WILL GIVE 20 POINTS AND BRAINLIEST!! ASAP!!!!
Answer:
7/49
Step-by-step explanation:
there is a sequence so you just need to follow it
so 11, 10, 9, 8 then the next one will be 7
steve and elsie are camping in the desert, but have decided to part ways. steve heads north, at 8 am, and walks steadily at 2 miles per hour. elsie sleeps in, and starts walking west at 2.5 miles per hour starting at 11 am.
After 2.57 hours, the distance between Steve and Elsie will be 25 miles.
What exactly is the distance?Distance is the sum of an object's movements, regardless of direction. The distance can be defined as the amount of space an object has covered, regardless of its starting or ending point. Use the formula d = st, or distance equals speed times time, to find the distance. Since both represent a certain amount of distance per unit of time, such as miles per hour or kilometers per hour, rate and speed are comparable.So, let t (hours) represent the amount of time Elsie needs to travel before they are 25 miles apart.
Steve takes longer because he is 2 hours earlier, so his time is t + 2.
Steve travels x[tex]s_s=2(t+2)[/tex] miles to the north.Elsie travels a distance [tex]s_c=2.5 t[/tex] to the west.So, according to the formula the distance between Steve and Elsie will be:
[tex]\sqrt{s_s^2+s_c^2}=\sqrt{(2(t+2))^2+(2.5 t)^2}=25[/tex]Solve for t as follows:
[tex]\begin{aligned}&(2(t+2))^2+(2.5 t)^2=25^2=625 \\&4(t+2)^2+6.25 t^2=625 \\&4\left(t^2+4 t+4\right)+6.25 t^2=625 \\&10.25 t^2+16 t-609=0 \\&t=\frac{-b \pm \sqrt{t^2-4 a x}}{2 a} \\&t=\frac{-16 \pm \sqrt{(16)^2-4 *(10.25) *(-109)}}{2 *(10.25)} \\&t=\frac{-16 \pm 68.74}{20.5}\end{aligned}[/tex]
So, t = 2.57 or t = -4.13.
As we know that time can only be positive so it t = 2.57.Therefore, after 2.57 hours, the distance between Steve and Elsie will be 25 miles.
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The correct question is given below:
Steve and Elsie are camping in the desert, but have decided to part ways. Steve heads north, at 8 AM, and walks steadily at 2 miles per hour. Elsie sleeps in and starts walking west at 2.5 miles per hour starting at 10 AM. When will the distance between them be 25 miles?
use properties of special parallelograms to complete the proof given: EFGH is a rectangle. J si the midpoint of EH. prove: triangle FJG is isosceles
Using the special parallelograms the proof with regard to the EFGH rectangle that triangle FJG is an isosceles is completed and attached. See further explanations below.
What is proof inMath?Proofs are examples of exhaustive deductive reasoning that establishes logical certainty, as opposed to empirical arguments or non-exhaustive inductive reasoning that establishes "reasonable expectation."
The following are various kinds of proof:
Direct proofs.Indirect proofs.Vacuous proofs.Trivial proofs.Proof by contradiction.Proof by cases.Proofs of equivalence.Existence proofs.Learn more about parallelograms:
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Agent Hunt is transferring classified files from the CIA mainframe into his flash drive.
SSS represents the size of the files on the drive (in megabytes) after ttt seconds.
S=5t+45S=5t+45S, equals, 5, t, plus, 45
How many megabytes are transferred every 101010 seconds?
Using the slope of the linear function, it is found that 50 megabytes are transferred every 10 seconds.
What is a linear function?A linear function is modeled according to the following rule, in slope-intercept form:
y = mx + b
In which:
m is the slope of the function, which is the rate of change of the function for every unit of the input.b is the y-intercept of the function, which is the initial value of the function, when the lower bound of the domain is of 0.For this problem, the function is given as follows:
S(t) = 5t + 45.
The slope of m = 5 means that every one second, 5 megabytes are transferred, hence the amount transferred every 10 seconds is given by:
Amount = 5 x 10 = 50 MB.
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If a segment has one endpoint at (0,0) and a midpoint at (4,-6) where is the other endpoint?
The coordinates of the second end point of the line is (8, -12).
What is defined as the mid point of coordinate?For the points on the coordinate axes, the midpoint formula is defined. Let the endpoints of the a line segment be (x)1, (y)1, and (x)2, (y)2. The midpoint is equal to one-half of the sum of the two points' x-coordinates and half of a sum of the two points' y-coordinates.For the given question;
The end point of the line segment is (0,0).
The mid-point of the line segment is at (4,-6).
Thus,
(x₁, y₁) = (0,0)
(x₂, y₂) = ?
(xₐ, yₐ) = (4,-6)
Thus, the formula for finding the mid point is;
xₐ = (x₁ + x₂)/2
Put the values;
4 = (0 + x₂)/2
On simplification;
x₂ = 8.
For y coordinate;
Thus, the formula for finding the mid point is;
yₐ = (y₁ + y₂)/2
Put the values;
-6 = (0 + y₂)/2
On simplification;
x₂ = -12
Thus, the coordinates of the second end point of the line is (8, -12).
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A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1.25 per slice of pizza. Justin purchased a membership to this pizza shop. How much would Justin have to pay the pizza shop if he bought 12 slices of pizza this month? What would be the monthly cost for x slices of pizza?
PLEASE HURRY!
The amount that Justin would have to pay the pizza shop if he bought 12 slices of pizza this month is $15.
The monthly cost for x slices of pizza is $25 + $1.5x
What is the total cost?In order to determine the amount that Justin would have to pay the pizza shop if he bought 12 slices of pizza can be determined by multiplying the cost per pizza by the number of pizzas sold.
Multiplication is the operation used in mathematics that is used to calculate the product of two or more numbers. The sign that is used to represent multiplication is x.
Cost of 12 slices of pizza = discounted price x number of slices bought
$1.25 x 12 = $15
The monthly cost is the sum of the membership fee and the total cost of the pizzas bought
Monthly cost = monthly membership fee + cost of the slices
Monthly cost = monthly membership fee + (discounted price x number of slices bought)
$25 + (1.25 x x)
$25 + $1.25x
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Write an equation of a line perpendicular to 4x + 3y = 6 that passes through the point (-8, -5)
Answer:
Step-by-step explanation:
Hope it helps :D
HELP ME PLEASE I GOT A 67 IN MATH
Answer:
0.5
Step-by-step explanation:
(-6,-5) ( 6,1) The slope is the change in y over the change in x.
([tex]x_{1}[/tex],[tex]y_{1}[/tex]) ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) Will will use this for the points above and then put in the numbers
[tex]\frac{y_{2 - y_{1} } }{x_{2 - x_{1} } }[/tex]
[tex]\frac{1 - -5}{6 - -6}[/tex]
[tex]\frac{1+ 5}{6+6}[/tex]
[tex]\frac{6}{12}[/tex]
[tex]\frac{1}{2}[/tex] = 0.5 as a decimal
If you start at any point on the line and go up one unit and 2 units of the right, you will end up on the line again. This pattern repeats over and over and over.
Can someone pls explain how to solve this
Answer:
No solution
Step-by-step explanation:
A number squared cannot be negative. It is a trick question.
there are 6 quarters in a jar. jill adds 2 quarters to the jar every day. which linear equation represents the total amount of quarters in the jar after x days? responses 6y
If an airplane rises at a rate of 42 meters per second, how high will it be flying after 3 minutes?
Answer:
7560 meters
Step-by-step explanation:
42 meters a second -> 2520 meters a minute -> 7560 meters for 3 minutes
Answer:
The airplane will be 7560 meters after three minutes of flying.
Step-by-step explanation:
one minute= sixty seconds
42*1800=7560
3*60=1800
Not sure if I did the math right but I'm positive I got the right answer.
Simplify the expression .
A.
B.
C.
D.
Using properties of exponents, the simplified expression for 5³ x 5^(-5) is given by:
A. 1/(5²).
How do we multiply two terms with the same base and different exponents?The exponent property applied to multiply the terms with the same base but different exponents is that we keep the bases and then add the exponents.
For this problem, the expression is given as follows:
5³ x 5^(-5)
Hence:
The base is of 5.The exponents are of 3 and -5.Adding the exponents, we have that:
3 + (- 5) = 3 - 5 = -2.
Hence the simplified expression is:
5³ x 5^(-5) = 5^(-2).
When a number has a negative exponent, we can move it to the denominator, then the exponent becomes positive, hence:
5^(-2) = (1/5)² = 1/5² = 1/25.
Meaning that option A is correct.
What is the missing information?The expression in this problem is 5³ x 5^(-5), and the correct options are given by the image at the end of the answer.
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Compare 0.79 and 0.789.
Answer:
0.79 greater than 0.789 by 0.001
Step-by-step explanation:
[tex]{ \tt{ \delta x + 0.79 = 0.789}} \\ { \tt{ \delta x = 0.001}}[/tex]
Simplify.
3c + 6d + 3d
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3c + 6d + 3d}\\\large\text{COMBINE the LIKE TERMS}\\\mathsf{= (3c) + (6d + 3d)}\\\mathsf{= 3c + 6d + 3d}\\\mathsf{= 3c + 9d}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{3c + 9d}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
I need help. Answer first and get brainest.
Answer:
1,312.5
Step-by-step explanation:
6.25x10=62.5
3500x62.5%=2,187.5
3500-2,187.5=1,312.5
I hope this is correct :-|
we have
3500 = Pe^(0.0625) x(10)
3500= Pe^(0.625)
P = 3500 / e^(0.625) = 1873
thus 1873 Macaws remaining in 10 years
in a recent year, 389 of the 281,421,906 people in the united states were struck by lightning. estimate the probability that a randomly selected person in the united states will be struck by lightning this year.
Answer:
0.000001382 if you divide
– 0.3+ – 0.8×0.5–0.1 using PEMDAS
Answer:
-0.8
Step-by-step explanation:
=0.3-0.8*0.5-0.1
= -0.3-0.4-0.1
= -0.7-0.1
= -0.8
how would i write The product of 2 and the cube of a number. if a number is x
the Algebraic representation of the expression "product of 2 and the cube of a number" is 2x³
How to write Algebraic expression?Algebra is the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
The product of 2 and the cube of a number
The unknown number = xProduct means MultiplicationSo,
product of 2 and the cube of a number
= 2 × x³
= 2x³
For instance, if x = 2
2x³
= 2×(2)³
= 2 × (2 × 2 × 2)
= 2 × 8
= 16
Therefore, the expression "product of 2 and the cube of a number" can be written as 2x³
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A(-2, 2), B(6, 2), C(6, 3), and D(-2, 3).
What is the area of rectangle ABCD?
Answer: 80un^2
Step-by-step explanation:
The length of AB is 10
The length of BC is 8
The length of CD is 10
The length of DA is 8
10 x 8 = 80 and there are two pairs of 8 and ten which makes it 80un^2
A group of friends wants to go to the amusement park. They have no more than $710
to spend on parking and admission. Parking is $9, and tickets cost $10.75 per person,
including tax. Which inequality can be used to determine p, the maximum number of
people who can go to the amusement park?
The inequality for maximum number of people is 710 ≥ 9 + 10.75p
The correct option is (d)
Given,
Total money spend on amusement park is $710
Parking charge is $9.
and, tickets cost $10.75 per person
To find the inequality for maximum number of people (p) who can go to the amusement park?
Now, According to the question:
Costs of people tickets = 10.75 p
Total Cost will be = 9 + 10.75p
The inequality will be
9 + 10.75p ≤ 710
=> 710 ≥ 9 + 10.75p
Hence, The inequality for maximum number of people is 710 ≥ 9 + 10.75p .The correct option is (d).
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There are 15 year 12 pupils in a football club, out of a total of 46 pupils. write this proportion as a percentage. give your answer correct to 1 decimal place when appropriate.
In the football club, the percentage of 15-year 12 pupils out of 46 pupils is equal to 30%.
The proportion can be found by dividing the number of 15-year pupils by the total number of pupils. Therefore;
number of 15-year pupils / total number of pupils = 12 / 46 = 0.260
Rounding it to one decimal;
0.260 = 0.3
Percentage in mathematics can be defined as a number or a rate in each hundred. A decimal value can be converted into a percentage by multiplying the decimal value by 100.
0.3 × 100 = 30%
Therefore, the proportion of the 15-year pupils in the football club is 12/46 and this proportion can be written in percentage as 30%.
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D
519
to
A
70°
E
70°
m/ABC= m/BAD because they are alternate interior angles.
m/BCA = m/CAE because they are alternate interior angles.
m/BAD + xº + m/CAE = 180° because the three angles form a straight
line.
So the value of x must be
Answer: 59
Step-by-step explanation:
[tex]51+x+70=180\\\\121+x=180\\\\x=59[/tex]
Solve for the value of q.
Answer:
q = 20
Step-by-step explanation:
The two angles shown in the image are supplementary angles which means their sum is equal to 180°
We can find the value of q using the following equation:
78 + 5q + 2 = 180 add like terms
80 + 5q =180 subtract 80 from both sides
5q = 100 divide both sides by 5
q = 20
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Guide to follow:}[/tex]
[tex]\bullet\large\textsf{ A supplementary angles (}\angle\large\textsf{) is equal to 180}^\circ\\\bullet\large\textsf{ A complementary angles (}\angle\large\textsf{) is equal to 90}^\circ[/tex]
[tex]\star \large\textsf{ The current angel that you are working with is a \boxed{\mathsf{supplementary \ angle \ (\angle)}}}}\\\large\textsf{so that means means \large\textsf{that your angle is equal to \boxed{\mathsf{180 ^\circ}}}}[/tex]
[tex]\huge\textsf{What does your equation look like?}[/tex]
[tex]\mathsf{(78) + (5q + 2) = 180}[/tex]
[tex]\huge\textsf{How we solve for your equation?}[/tex]
[tex]\mathsf{(78) + (5q + 2) = 180}[/tex]
[tex]\mathsf{78 + 5q + 2 = 180}[/tex]
[tex]\large\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\mathsf{(78 + 2) + (5q) = 180}[/tex]
[tex]\mathsf{78 + 2 + 5q = 180}[/tex]
[tex]\mathsf{80 + 5q = 180}[/tex]
[tex]\large\textsf{Simplifying}[/tex]
[tex]\mathsf{5q + 80 = 180}[/tex]
[tex]\large\textsf{SUBTRACT 80 to BOTH SIDES}[/tex]
[tex]\mathsf{5q + 80 - 80 = 180 - 80}[/tex]
[tex]\large\textsf{Simplify it:}[/tex]
[tex]\mathsf{5q = 180 - 80}[/tex]
[tex]\mathsf{5q = 100}[/tex]
[tex]\large\textsf{DIVIDE 5 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{5q}{5} = \dfrac{100}{5}}[/tex]
[tex]\large\textsf{Simplify it:}[/tex]
[tex]\mathsf{q = \dfrac{100}{5}}[/tex]
[tex]\mathsf{q = 20}[/tex]
[tex]\huge\textsf{So, what does mean your answer should be?}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{q = 20}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Help fast. I need help with this one as fast as you can. I mark brainliest
The true statement about the values x = - 2 and y = -0.5 is that: D. they are the only values that make both equations true.
What is an equation?An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
What is a point of intersection?In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect, meet, or cross each other, which is typically represented as an ordered pair containing the point, x-axis and y-axis.
This ultimately implies that, a point of intersection simply represents the ordered pairs (values) that make a system of equations true.
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Complete Question:
Lan graphs these equations and finds that the lines intersect at a single point,
(-2,-0.5).
Equation A: 4y - 3x = 4
Equation B: -2x + 8y = 8
Which statement is true about the values x = -2 and y = -0.5?
A. They satisfy equation A but not equation B.
B. They satisfy equation B but not equation A.
C. They show that the equations represent the same line.
D. They are the only values that make both equations true.
The sizes of four cell phone displays are 5.625 inches, 5 1/2 inches, 6 1/4 inches, and 5.125 inches. How much longer is the longest display than the shortest display? a) 3/4 in, b) 1 in, c) 1.125 in, d) 1 1/4 in
Longest display is 1.125 inches longer than the shortest display.
What is fractions?Any number of equal parts is represented by a fraction, which also represents 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.
Given Data
Size of cell phones
5.625 inches
5[tex]\frac{1}{2}[/tex] inches = [tex]\frac{11}{2}[/tex] inches
5.5 inches
6[tex]\frac{1}{4}[/tex] inches = [tex]\frac{25}{4}[/tex] inches
6.25 inches
5.125 inches
Longest display = 6.25 inches
Shortest display = 5.125 inches
Difference = longest display - shortest display
Difference = 6.25 - 5.125
Difference = 1.125
Longest display is 1.125 inches longer than the shortest display.
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What percentage of the area lost to deforestation will have been replanted by the preservation consortium after 1 year, 5 years, and 10 years?