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3 years ago

A line passes through the point (-2, 4), and its y-intercept is (0,6). What is the equation of the line that is

Mathematics

1 answer:

MatroZZZ [7]3 years ago

8 0

Answer:

y = -x + 9

Step-by-step explanation:

The line that passes through the points (-2,4) and (0,6) has a slope of 1, and a y intercept of 6. The equation to the first line is y = x + 6. and perpendicular lines always have the opposite, reciprocal slope of the other line. So the slope for the second line would be -1. A line with the slope of -1 and a point of (5,4) would contain the points (5,4) , (4,5) , (3,6) , (2,7) , (1,8) , and (0,9) , which is the y intercept for the second line. So the equation for the second line would be y = -x + 9

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16x² +8-7x-3x2 - 13x

liq [111]

Answer:

$13x^{2}$ -20x+8

Step-by-step explanation:

Step 1: rearrange the equation

16x^2 - 3x^2 - 7x - 13x +8

Step 2: solve the equation

16x^2 - 3x^2 = 13x^2

-7x - 13x = -20x

(the +8 will stay the same)

so when we put it all together it gives us

13x^2 - 20x + 8

5 0

3 years ago

The sum of two numbers is 85. twice one number plus four times the other is 218. find the numbers

Nina [5.8K]

X + y = 85
2x + 4y = 218
x = 85 - y
2(85 - y) + 4y = 218 
170 - 2y + 4y = 218 
170 + 2y = 218 
2y = 48 
y = 24 
x = 61

6 0

3 years ago

Anybody know the answer???

igomit [66]

The sum of the two sides of the triangle must be greater than the third side, so

5<x<41 is the answer

8 0

3 years ago

Calculate the average rate of change of f(x) = 1 x - x2 - 2 for 3 ≤ x ≤ 6. A) -163 18 B) -18 163 C) 163 18 D) 18 163

larisa86 [58]

To solve this we are going to use the average rate of change formula: $A(x)= \frac{f(b)-f(a)}{b-a}$
where
$A(x)$ is the average rate of change of the function
$f(a)$ is the position function evaluated at $a$
$f(b)$ is the position function evaluated at $b$
$a$ is the first point in the interval
$b$ is the second point in the interval

We can infer for our problem that the first point is 3 and the second point is 6, so $a=3$ and $b=6$ . Lets replace those values in our formula:
$A(x)= \frac{f(b)-f(a)}{b-a}$
$A(x)= \frac{f(6)-f(3)}{6-3}$
$A(x)= \frac{6-6^2-2-(3-3^2-2)}{3}$
$A(x)= \frac{-32-(-8)}{3}$
$A(x)= \frac{-32+8}{3}$
$A(x)= \frac{-24}{3}$
$A(x)=-8$

We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for 3 ≤ x ≤ 6 is -8

3 0

3 years ago

Read 2 more answers

? the coordinates of a, b, c, and d are a (-6, 1), b (-9, 4), c (-1, 1), and d (-7, 6). how are ab←→ and cd←→ related? they are

balandron [24]

AB :
(-6,1)(-9,4)
slope = (4 - 1) / (-9 - (-6) = 3 / -3 = - 1

CD:
(-1,1)(-7,6)
slope = (6 - 1) / (-7 - (-1) = -5/6

different slopes....slopes are not negative reciprocals...means they are not perpendicular, parallel, or coincident. These lines will intersect at one point.

4 0

3 years ago