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2 years ago

Write the equation for each line. (will give brainlest)

Mathematics

2 answers:

ad-work [718]2 years ago

8 0

Answer:

y = (5/2)(x + 2). This is equivalent to y = (5/2)x + 5

Step-by-step explanation:

Two points on this line are (-2, 0) and (0, 5). Going from the first to the second, we see x increasing by 2 and y increasing by 5. Thus, the slope of this line is m = rise / run = 5/2.

Find the equation of this line in point-slope form y - k = m(x - h) becomes

y - 0 = (5/2)(x + 2), or y = (5/2)(x + 2). This is equivalent to y = (5/2)x + 5.

natali 33 [55]2 years ago

4 0

Answer:

y = $\frac{5}{2}$ x + 5

Step-by-step explanation:

The equation of a line is: y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope using the points (0, 5) and (-2, 0).

Slope = $\frac{5-0}{0-(-2)}$

= $\frac{5-0}{0+2}$

= $\frac{5}{2}$

Thus, the slope of the line is $\frac{5}{2}$ .

Based on the graph, the y-intercept is 5.

Thus, the equation of the line is: y = $\frac{5}{2}$ x + 5.

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3 years ago

At the Demarest Mountain ski slope lounge, they serve hot cocoa. A serving of

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Answer: 30 more servings

Explanation:
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2 years ago

Read 2 more answers

The first task of the Segment Two Honors Project is to select the Power Pill study participants’ groups and research board offic

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Answer:

Part 1: There are 4.7*10^21 ways to select 40 volunteers in subgroups of 10

Part 2: The research board can be chosen in 32760 ways

Step-by-step explanation:

Part 1:

The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:

$\frac{ n!}{ n1!*n2!*...*nk! }$

So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:

n by 40 participants
k by 4 groups
n1, n2, n3 and n4 by 10 participants of every subgroups

We get:

$\frac{ 40!}{10!*10!*10!*10!} = 4.7*10^{21}$

Part 2:

The number of ways in which we can choose k element for a group of n elements and the order in which they are chose matters is calculate with permutation as:

$nPk = \frac{ n!}{(n-k)!}$

So in this case there are 4 offices in the research board, those are director, assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.

Therefore, replacing values of: