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Oksi-84 [34.3K]
2 years ago
10

What is the slope and y-intercept -4x+2y=-2

Mathematics
1 answer:
natka813 [3]2 years ago
8 0

Answer:

Slope: 2

Y-intercept:  (0, -1) or - 1

Step-by-step explanation:

Given the linear equation, -4x + 2y = -2:

Transform the given equation into its slope-intercept form, y = mx + b:

-4x + 2y = -2

Add 4x to both sides:

-4x + 4x + 2y = 4x - 2

2y = 4x - 2

Divide both sides by 2 to isolate y:

\frac{2y}{2} = \frac{4x - 2}{2}

y = 2x - 1 ⇒ This is the slope-intercept form where the slope, m = 2, and the y-intercept is (0, -1).

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The circumference of F is 120 cm what is the length of DE the minor arc
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Answer:

Option E 15 cm

Step-by-step explanation:

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find out the length of arc DE by a central angle of 45 degrees

Let

x -----> the length of arc DE

\frac{120}{360}=\frac{x}{45}\\\\x=120*45/360\\\\x=15\ cm

7 0
4 years ago
X+4y=4 in slope intercept form
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Answer:

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Step-by-step explanation:

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3 years ago
A rock is thrown upward from a bridge that is 57 feet above a road. The rock reaches its maximum height above the road 0.76 seco
bekas [8.4K]

answer:

f(t) = -9.9788169(t -0.76)^2 +57

Step-by-step explanation:

On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the  number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).

now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is f(x)= a(x-p)^2 +q  , where (p,q) is the turning point. now we substitute the turning point

f(t) = a(t-0.76)^2 + 57, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.

0 = a(3.15 - 0.76)^2 + 57

-57 =a(2.39)^2  

-57 = a(5.7121)

-57/5.7121 =a

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f(t) = -9.9788169(t-0.76)^2 +57

4 0
3 years ago
C=36x+200 R=76x break-even point
Leokris [45]

Answer:

x = 5.

Step-by-step explanation:

The break even point is when they are equal:

76x = 36x + 200

40x = 200

x = 200/40

x = 5.

6 0
3 years ago
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How many solutions does the system of equations have y=5x+7 and 3y-15x=18
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Hello there.

<span>How many solutions does the system of equations have y=5x+7 and 3y-15x=18

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