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QveST [7]
4 years ago
14

Write an equation in slope-intercept form of the line parallel to y=8x-8 through (5,2)

Mathematics
1 answer:
AlekseyPX4 years ago
3 0

Answer:

The equation would be y = 8x - 38

Step-by-step explanation:

To find the equation of this new line, we first need to identify the slope of the first line. In slope-intercept form, the slope is always the coefficient of x. This makes the slope of the first equation 8. Since parallel lines have the same slope, our new slope will also be 8.

Given that and the point, we can solve for the equation using point-slope form.

y - y1 = m(x - x1)

y - 2 = 8(x - 5)

y - 2 = 8x - 40

y = 8x - 38

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For the function f(x)= 3x+7, what is f(3)
Lesechka [4]
The answer will be
f(3)=3(3)+7
=9+7
=16
6 0
3 years ago
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Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are . If point D
polet [3.4K]
Given:
A has coordinates (-6,5)
C has coordinates (3.6,-0.4).
C divides AB in the ratio 3:2.

Refer to the diagram shown below.
The coordinates of B are determined by
\frac{3.6-(-6)}{x-(-6)} = \frac{3}{3+2} \\ \frac{9.6}{x+6} = \frac{3}{5} \\ 3(x+6) = 48 \\ 3x +18=48 \\ x=30/3=10
Also,
\frac{5-(-0.4)}{5-y} = \frac{3}{5} \\ 3(5-y) = 27 \\ 15-3y=27 \\ y= \frac{12}{-3} =-4

Answer:
The coordinates of B are (10,-4).

Now, we know the coordinates of line segment AB as A (-6, 5) and B (10,-4).
D (x,y) divides AB in the ratio 4:5.
Therefore
\frac{x-(-6)}{10-(-6)} = \frac{4}{4+5} \\ \frac{x+6}{16} = \frac{4}{9} \\ 9(x+6)=64 \\ 9x+54=64 \\ x=1.11
Also,
\frac{5-y}{5-(-4)} = \frac{4}{9}  \\ 5-y = 4 \\ y = 1

Answer:
The coordinates of D are (1.11, 1)

4 0
3 years ago
Read 2 more answers
1. 5x + 2(x +6) simplify each expression
irina [24]
1. 5x+ 2(x+6)
= 5x+ 2x+ 2*6 (distributive property)
= 5x+ 2x+ 12
= (5x+ 2x)+ 12 (combine like terms)
= 7x+ 12

The correct answer is C. 7x+12~

2. <span> -3m + 3(m + 6) 
= -3m+ 3m+ 3*6
= -3m+ 3m+ 18
= (-3m+ 3m)+ 18
= 18

The correct answer is D. 18~</span>
3 0
3 years ago
a triangle is graphed in the coordinate plane the vertices of the triangle have coordinates (-4, 1), (1, 1), and (1, -11). what
Alisiya [41]
The triangle coordinate is -11
4 0
4 years ago
Read 2 more answers
3(x+y)=2y-x in verbal form
xz_007 [3.2K]
Three times the result of a number plus a number equals two times a number minus a number.

or

Three times the result of a variable plus a variable equals two times a variable minus a variable.
4 0
3 years ago
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