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3 years ago

Write an equation in point-slope form of the line that passes through the point (4,−9) and has a slope of 6.

Mathematics

2 answers:

klemol [59]3 years ago

8 0

y + 9 = 6(x - 4)

the equation of a line in point-slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 6 and (a, b) = (4, - 9)

y + 9 = 6(x - 4) ← in point-slope form

STALIN [3.7K]3 years ago

3 0

Knowing the slope $m$ and a point $(x_0,y_0)$ of a line, the equation of the line is given by

$y-y_0 = m(x-x_0)$

Substitute your values to get

$y+9 = 6(x-4)$

You can rearrange this equation to write it in the slope-incercept form:

$y = 6x - 33$

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Kira new chatted online with all her friends for 2/3 of a hour on Saturday and 1/4 of an hour on Sunday. She chatted with Penelo

raketka [301]

Answer:

$\frac{11}{96}$ of an hour.

Step-by-step explanation:

Given:

Koran new chatted online with all her friends on Saturday for = 2/3 of a hour.

Koran new chatted online with all her friends on Sunday for = 1/4 of an hour.

She chatted with Penelope for = 1/8 of the total time.

Question asked:

Which fraction of an hour did Koran apes chatting with Penelope ?

Solution:

Koran new chatted online with all her friends on Saturday for = $\frac{2}{3}$ of an hour

Koran new chatted online with all her friends on Sunday for = $\frac{1}{4}$ of an hour

Total time of chatting = $\frac{2}{3}+$ $\frac{1}{4}$

= $\frac{8+3}{12}$ ( By taking LCM of 3 and 4 we get 12 )

= $\frac{11}{12}$ of an hour

Now, She chatted with Penelope for = $\frac{1}{8}\ of \frac{11}{12} = \frac{1}{8}\ \times \frac{11}{12} = \frac{11}{96}$ of an hour

Therefore, Koran chat $\frac{11}{96}$ of an hour with Penelope.

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4 years ago

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Trava [24]

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4 years ago

Colton bounces a ball 3.268 feet infront of his feet. The path of the ball from the time it hits the ground until it lands on th

Otrada [13]

here is the complete and correct question. Colton bounces a ball 3.268 feet in front of his feet. The path of

the ball from the time it hits the ground until it lands on the floor is represented by

f(x) =-4(x - 5)2 + 12

Assuming that Colton's feet are located at the origin, (0, 0), what is the maximum height of the ball (in feet)?

Answer:

12ft

step by step explanation:

This equation has been written in vertex form, and it has its vertex at (5, 12). Because the scale factor is not positive, it has a negative value, the graph for the question is going to open downward, such that the vertex,

that is the maximum height is 12 ft.

we have The equation of a parabola with vertex (h, k) to be

f(x) = a(x -h)² + k

when put in Comparison to your question function, we get that

a=-4

h=5

k=12

so the vertex (h, k) = (5, 12).

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3 years ago

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SSSSS [86.1K]

Answer:

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