For the following data, find

Mathematics

1 answer:

Alla [95]3 years ago

5 0

A and d is answer I just need points please

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Help...

GaryK [48]

What are you asking cause I do not get it

5 0

3 years ago

I’m honestly confused on how to solve for k. please help.

stellarik [79]

Answer:

k=9

Step-by-step explanation:

$slope = \frac{y2 - y1 }{x2 - x1} \\ \frac{ - 5}{2} = \frac{ - 11 - k}{6 - ( - 2)} \\ - ( \frac{5}{2} ) = - ( \frac{11 + k}{8} ) \\ \frac{5}{2} = \frac{11 + k}{8} \\ 5 \times 8 = 2(11 + k) \\ 40 = 22 + 2k \\ k = \frac{40 - 22}{2} \\ k = 9$

4 0

1 year ago

Could someone help me rnnn?

GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola: $y=3x^2-4$

Step-by-step explanation:

Given:

y-intercept of parabola: -4
parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola: $y=a(x-h)^2+k$

(where (h, k) is the vertex and $a$ is some constant)

Substitute point (0, -4) into the equation:

$\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}$

Substitute point (-2, 8) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}$