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3 years ago

The equation of a line is x + 4y = 15.

Mathematics

1 answer:

alukav5142 [94]3 years ago

7 0

<h2>Answer: c.) ¹⁵/₄</h2>

Step-by-step explanation:

If we transpose the equation into the slope-intercept form (y = mx + c), the value of c is the y-intercept.

since x + 4y = 15

then 4y = - x + 15

∴ y = -¹/₄ x + ¹⁵/₄

<h3>⇒ the y-intercept for the line x + 4y = 15 is ¹⁵/₄</h3>

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The midpoint of is (14, 26). One endpoint of is A(32, 40). What are the coordinates of B?

cupoosta [38]

For x,
(32+x)/2=14
32+x=14*2
32+x=28
x=28-32
x=-4

For y,
(40+y)/2=26
40+y=26*2
40+y=52
y=52-40
y=12

Therefore coordinates of B(-4,12)
Hope this helps!

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Greeley [361]

Answer:

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Step-by-step explanation:

First find all the factors of 8, that would be 1 and 8, -1 and -8, 2 and 4, and -2 and -4.

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3 years ago

Find the length of AB when A(-4,1) and B(3,-1). Round to the nearest tenth (one decimal place) if necessary.

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3 years ago

7 + 2y = 8x 3x - 2y = 0 Solve the system of equations by substitution. (70/3, 140/9) (7/5, 21/10) no solution coincident

Wittaler [7]

So we have the system of equations:
$7+2y=8x$ equation (1)
$3x-2y=0$ equation (2)

To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for $x$ in equation (2):
$3x-2y=0$
$3x=2y$
$x= \frac{2}{3}y$ equation (3)

Replacing equation (3) in equation (1):
$7+2y=8x$
$7+2y=8( \frac{2}{3} y)$
$7+2y= \frac{16}{3} y$
$7= \frac{10}{3} y$
$y= \frac{7}{ \frac{10}{3} }$
$y= \frac{21}{10}$ equation (4)

Replacing equation (4) in equation (3):
$x= \frac{2}{3}y$
$x=( \frac{2}{3} )( \frac{21}{10} )$
$x= \frac{7}{5}$

We can conclude that the solution of our system of equations is <span>(7/5, 21/10)</span>

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3 years ago