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Mariulka [41]
3 years ago
11

Find the y-intercept for the parabola defined by the equation y=x^2-x-12

Mathematics
1 answer:
o-na [289]3 years ago
6 0

Answer:

The y-intercept is (0,-12).

Step-by-step explanation:

Given equation is y=x^2-x-12.

Now question says to find the y-intercept of the given parabola y=x^2-x-12.

We know that y-intercept means the y-value when x-value equals 0

so let's plug x=0 into given equation y=x^2-x-12  then solve that for y.

y=x^2-x-12

y=0^2-0-12

y=0-0-12

y=-12

Hence the y-intercept is (0,-12).

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Need help with this math problem
Shkiper50 [21]

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Step-by-step explanation:

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Taking a bottom-left corner of the graph as (0,0)

Given Line AB,

Point A is located as (4,9)

Point B is located as (16,1)

The slope of AB is

=\frac{Y1-Y2}{X1-X2}

=\frac{9-1}{4-16}

=\frac{8}{-12}

=\frac{-2}{3}

The question says "  Draw a line passes through C(13,12) and parallel to Line AB "

Now, Let the equation of the target line is y=mx + c

Where m=slope and c is the y-intercept

The target line is parallel to the line AB

The slope of the Target line = The slope of the Line AB =\frac{-2}{3}

m==\frac{-2}{3}

We can write, the equation of the target line is

y=\frac{-2}{3}x + c

Also, the Target line is passing through C(13,12)

Point C satisfies the equation

y=\frac{-2}{3}x + c

12=\frac{-2}{3}13 + c

12=\frac{-26}{3} + c

12+\frac{26}{3}=c

c= 12+\frac{26}{3}

c= \frac{62}{3}

Replacing the value

the equation of the target line is

y=\frac{-2}{3}x + c

y=\frac{-2}{3}x +  \frac{62}{3}

3y= -2x + 62

It is also asked that if a line is extended , would it passes through the (18,-8)?

If a line passes through the point (18-,8) then, that point must satisfy the equation of a line

the equation of the target line is  3y= -2x + 62

3(-8)= -2(18) + 62

(-24)= (-36) + 62

(-24)= (-36) + 62

(-24)= 26

Left land side is not equal to right hand side.

Therefore. a line does not pass through the point (18,-8)

5 0
3 years ago
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3 years ago
What is the answer to this?
Liula [17]
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6 0
3 years ago
A rectangular parcel of land is 90 ft wide. the length of a diagonal between opposite corners is 30 ft more than the length of t
snow_lady [41]

solution:

One leg of the triangle is given 90ft. the other leg of the triangle is x, and the hypotenuse is given as x+30

According to Pythagoras,

C² = a² + b²

So,

(x +30) = x² + 90²

Use FOIL to expand the binomial:

x² + 60x + 900 = x² + 8100

60x = 7200

X = 7200/60

X = 120


4 0
3 years ago
-2 1/4 divided by ( -1 1/2) = need answers fast
s344n2d4d5 [400]

Answer:

1 1/2

Step-by-step explanation:

i did it on a calculator

hope this helps

8 0
3 years ago
Read 2 more answers
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