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2 years ago

Graph the linear equation and answer each of the following questions. y=-2x-3 (A)What is the y-intercept?

Mathematics

1 answer:

balandron [24]2 years ago

5 0

A) The Y-intercept of this equation is 3

B) The slope of this equation is 2

C) This equation has a positive slope

D) Starting from the Y-intercept, I simply went over to the right 1 box, and up 2 boxes

I hope this helps!

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Which operations is the following set closed under: {2, 4, 6, ...}?

vlabodo [156]

Do you have any answers to choose from

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2 years ago

She has read 1/5 of the book already what fraction of the book does she need to read now?

arlik [135]

Answer:

4/5

Step-by-step explanation:

1-1/5=4/5

she still has 4/5 to read

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2 years ago

Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6

Ivan

Step-by-step explanation:

If the parabola has the form

$y = a(x - h)^2 + k$ (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

$y = \dfrac{1}{6}(x - 8)^2 + 6$

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

$\text{focus} = (h, k +\frac{1}{4a})$

where $\frac{1}{4a}$ is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is

$f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}$

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

$\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6$

5 0

2 years ago

NOTE: Angles not necessarily drawn to scale.

Anastasy [175]

The answer is 13!! :)

7 0

2 years ago

Read 2 more answers

Sarah runs a day camp in the summer and needs to buy paper towels and soap for the restrooms. She spends $129 on t cases of pape

Cloud [144]

Let x be the number of cases of paper towels and y be the number of cases of soap. The system of linear equation that would best represent the given is,
x + y = 10
12x + 15y = 129
The values of x and y are 7 and 3.

Sarah both 7 cases of paper towel.

It is not possible for Sarah to buy exactly 20 bottles because first of all the cases contains only 12 bottles and 20 is not divisible by 12.

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2 years ago