I think it is D but I am not sure
Answer:
12.57
Step-by-step explanation:
hope this helps
Answer:
y=1/5x-31/5 (or y=0.2x-6.2 in decimals)
Step-by-step explanation:
x=5y-8 (original equation)
x+8=5y <u>(Addition Property of Equality)</u>
1/5x+8/5=y <u>(Division Property of Equality, </u><u>slope </u><u>of </u><u><em>original equation </em></u><u>is </u><u>1/5</u><u>)</u>
<u />
y-y1=m(x-x1) <u>(point-slope formula)</u>
y-(-5))=1/5(x-(6)) <u>(plug in the slope that was found earlier and the point given in the question)</u>
y+5=1/5(x-6)
y+5=1/5x-6/5 (Distributive Property of Multiplication) Note: 5 = 25/5
<u>y=1/5x-31/5</u> (Subtraction Property of Equality, and there's your answer)
<u>y=0.2x-6.2</u><em> </em>(This is the same answer, but written with decimals)
The equation of the slope-intercept form of the perpendicular line is: y = -1/4x + 9.
<h3>What is the Equation of a Line?</h3>
The equation of a line that has a slope of m and a y-intercept of b can be written in slope-intercept form as:
y = mx + b.
Note that, the slope of two lines that are perpendicular to each would always be negative reciprocals to each other.
Rewrite the equation, -4x + y = -1 in slope-intercept form:
y = 4x - 1
The slope of -4x + y = -1 is 4. The negative reciprocal of 4 is -1/4. The line perpendicular to -4x + y = -1 is therefore -1/4.
Find the y-intercept (b) by substituting m = -1/4 and (x, y) = (8, 7) into y = mx + b:
7 = -1/4(8) + b
7 = -2 + b
7 + 2 = b
b = 9
To write the equation of the perpendicular line, substitute b = 9 and m = -1/4 into y = mx + b:
y = -1/4x + 9
Learn more about the slope-intercept form on:
brainly.com/question/1884491
#SPJ1
There were 5 adult tickets and 3 student tickets
Step-by-step explanation:
Let x be the number of adult tickets
and
y be the number of student tickets
Then according to given statements
![x+y = 8\ \ \ Eqn\ 1\\7.25x+5.50y = 52.75\ \ \ Eqn\ 2](https://tex.z-dn.net/?f=x%2By%20%3D%208%5C%20%5C%20%5C%20Eqn%5C%201%5C%5C7.25x%2B5.50y%20%3D%2052.75%5C%20%5C%20%5C%20Eqn%5C%202)
From Eqn 1:
x = 8-y
Putting in equation 2
![7.25(8-y)+5.50y = 52.75\\58 - 7.25y +5.50y = 52.75\\58 - 1.75y = 52.75\\-1.75y = 52.75-58\\-1.75y = -5.25](https://tex.z-dn.net/?f=7.25%288-y%29%2B5.50y%20%3D%2052.75%5C%5C58%20-%207.25y%20%2B5.50y%20%3D%2052.75%5C%5C58%20-%201.75y%20%3D%2052.75%5C%5C-1.75y%20%3D%2052.75-58%5C%5C-1.75y%20%3D%20-5.25)
Dividing both sides by -1.75
![\frac{-1.75y}{-1.75} = \frac{-5.25}{-1.75}\\y = 3](https://tex.z-dn.net/?f=%5Cfrac%7B-1.75y%7D%7B-1.75%7D%20%3D%20%5Cfrac%7B-5.25%7D%7B-1.75%7D%5C%5Cy%20%3D%203)
Putting y = 3 in equation 1
![x+y = 8\\x+ 3 = 8\\x = 8-3\\x = 5](https://tex.z-dn.net/?f=x%2By%20%3D%208%5C%5Cx%2B%203%20%3D%208%5C%5Cx%20%3D%208-3%5C%5Cx%20%3D%205)
There were 5 adult tickets and 3 student tickets
Keywords: Linear equations, variables
Learn more about linear equations at:
#LearnwithBrainly