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3 years ago

A parabola has a vertex at (-2,6) and roots at 7 and m. Find the value of m

Mathematics

1 answer:

Archy [21]3 years ago

8 0

Answer:

So m= - 11

Step-by-step explanation:

* THe vertex is (-2,6), then the equation is y = a(x+2)^2 +6, a is to find out.

* A root is 7 means x=7 and y=0, then :

0 = a(7+2)^2 +6

0=81a+6 or a= -6/81 = -2/27.

* We have the equation: y= -2/27 (x+2)^2 +6=-2/27 [ (x+2)^2-81]

y= -2/27 (x-7)( x+11).

So m= - 11

Hope that you understand.

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The sum of two consecutive even integers is 106. What are the integers?

Kruka [31]

Answer:

The integers are 52 and 54

Step-by-step explanation:

x = first even integer

x + 2 = next integer that is even

x + x + 2 = 106

2x + 2 = 106

2x = 104

x = 52

x + 2 = 54

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2 years ago

150% of what number is 34

Svetradugi [14.3K]

150% of 51 is 34. So your answer is 51

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X/3 -6 =y<br><br> Solve for x

Paul [167]

Answer:

x= 3(y+6) or x = 3y + 18

Step-by-step explanation:

get the "x" by itself.

so first +6 on both sides of the equation to make it x/3=y+6

then multiply both sides by 3 to make it x=(y+6)*3

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3 years ago

<img src="https://tex.z-dn.net/?f=%20-%20%284x%20-%2015%29%20%5Cgeqslant%20-%209%283%20%2B%20x%29" id="TexFormula1" title=" - (4

Kay [80]

$- (4x - 15) \geqslant - 9(3 + x) \\ - 4x + 15 \geqslant - 27 - 9x \\ - 4x + 9x \geqslant - 27 - 15 \\ 5x \geqslant - 42 \\ x \geqslant - 8 \dfrac{2}{5}$

$21 + x > 2( - 2 - 5x) + 6x \\ 21 + x > - 4 - 10x + 6x \\ x + 10x - 6x > - 4 - 21 \\ 5x > - 25 \\ x > - 5$

Hope this helps. - M

5 0

3 years ago

Find the value of y for which line a is parallel to line b.

alexdok [17]

Y+38°= 180 beacuse if a and b are parallel they are co interior angles. This means that they will at to 180.

y=180-38= 142°

Answer: 142°

Drew out some hopefully helpful pictures below. Hope they help! let me know if you still have any questions!

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3 years ago