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Yuliya22 [10]
3 years ago
7

Write the equation of a vertical line that goes through (2,-1)

Mathematics
1 answer:
Zanzabum3 years ago
6 0
The equation would be ... Y = 2x + (-5)

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Diagram below shows the curve of a quadratic function
uranmaximum [27]

Answer:

q = -8, k = 2.

r = -6.

Step-by-step explanation:

f(x) = (x - p)^2 + q

This is the vertex form of a quadratic where the vertex is at the point (p, q).

Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.

The value of p is the midpoint of  -6 and 2 which is (-6+2) / 2 = -2.

So we have:

f(x) = 1/2(x - -2)^2 + q

f(x) = 1/2(x + 2)^2 + q

Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:

0 = 1/2(2 + 2)^2 + q

0 = 1/2*16 + q

0 = 8 + q

q = -8.

Now convert this to standard form to find k:

f(x) = 1/2(x + 2)^2 - 8

f(x) = 1/2(x^2 + 4x + 4) - 8

f(x) = 1/2x^2 + 2x + 2 - 8

f(x) = 1/2x^2 + 2x - 6

So k = 2.

The  r  is the y coordinate when x = 0.

so r = 1/2(0+2)^2 - 8

=  -6.

3 0
4 years ago
Write all the factors of 8
iren [92.7K]
1,2,4,8
those are the factors of 8
4 0
3 years ago
15% of what number is 900?
Ugo [173]

Answer:

135

Step-by-step explanation:

15/100 × 900 = 15 × 9 = 135

3 0
3 years ago
Read 2 more answers
Plz help! Will give brainlest
AnnZ [28]

Answer:

99 Sorry if im wrong

Step-by-step explanation:

8 0
3 years ago
Please help me on this
timama [110]

Answer:

ANSWER IS C,,, 0

Step-by-step explanation:

the J+8 is basically going along with that the answer J+8 could be LESS than or equal to 8 if we pick any other number its going to be GREATER than 8 an we want LESS than 8,,,hope this helps.

8 0
3 years ago
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