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2 years ago

What is the equation in slope-intercept form of the line that passes through the point(-4,7) and is perpendicular to y=4x+15

Mathematics

1 answer:

Gemiola [76]2 years ago

3 0

Answer:

Step-by-step explanation:

First find the slope of the line y =4x + 15

slope = 4

Slope of the required line = -1/m = -1/4

(-4 , 7)

Slope point form: y - y1 = m(x - x1)

$y - 7 = \frac{-1}{4}(x - [-4])\\\\y -7 = \frac{-1}{4}(x + 4)\\\\y - 7 =\frac{-1}{4}x + 4*\frac{-1}{4}\\\\y - 7 =\frac{-1}{4}x-1\\\\y = \frac{-1}{4}x - 1 + 7\\\\y = \frac{-1}{4}x + 6$

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Not sure how difficult this would be to solve

mr_godi [17]

F (x) = x^2 - 2x + 1
f (x) = (-2)^2 - 2(-2) + 1
= 4 + 4 + 1
= 9
f (x) = ( 0 )^2 - 2 (0) + 1
= 0 - 0 + 1
= 1
0 = x^2 - 2x + 1
x^2 = 2x - 1 = 1
f (2) = 2^2 - 2(2) + 1
= 4 - 4 + 1
= 1
f (3) = 3^2 - 2(3) + 1
= 9 - 6 + 1
= 3 + 1
= 4

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1 year ago

The following examples illustrate the associative property of multiplication.

kati45 [8]

Answer:

A) a • (b • c) = (a • b) • c

Step-by-step explanation:

The associative property of multiplication (or addition) shows that the order the numbers are multiplied it irrelevant, more specifically in the manners of parentheses.

So, the answer is A, which can also be seen in that substituting a as 5, b as 3, and c as 6 gives us the first example.

4 0

2 years ago

Read 2 more answers

Please help, me I just need to know how to set it up the 2 equation on both.

Ronch [10]

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7 0

2 years ago

The equation x2 - 12x - 60 = -y2 - 4y describes a circle in the coordinate plane. find the radius of the circle and the coordina

34kurt

Answer:

r = 10 , centre = (6, - 2 )

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² - 12x - 60 = - y² - 4y ( add y² + 4y to both sides )

x² - 12x + y² + 4y - 60 = 0 ( add 60 to both sides )

x² - 12x + y² + 4y = 60

using the method of completing the square

add ( half the coefficient of the x and y terms )² to both sides

x² + 2(- 6)x + 36 + y² + 2(2)y + 4 = 60 + 36 + 4

(x - 6)² + (y + 2)² = 100 ← in standard form

with centre = (6, - 2 ) and r = $\sqrt{100}$ = 10

8 0

1 year ago

HI Nyam,

mariarad [96]

Answer:

a job maybe

Step-by-step explanation:

7 0

2 years ago