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3 years ago

5

write the equation in slope-intercept form of the line passing through the points (-3, -2) and (-5, 2) hint: y = mx + b, all wor

k must be shown

1 answer:

Mama L [17]3 years ago

4 0

Answer:

y(x) = -2x -8

Step-by-step explanation:

using the hint, insert the points (x,y) in the equation:

-2 = -3m + b eq1

2 = -5m + b eq2

eq2 - eq1 :

4 = -2m ==> m = -2

insert m in eq1:

-2 = -3*(-2) +b ==> b = -8

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If 3/5 w = 4/3, what is the value of w?

elena55 [62]

Answer:

w=20/9 or w=2 2/9

Step-by-step explanation:

Multiply each side by 5/3. Then reduce the numbers with the greatest common divisor which is 5 do the same with 3. then multiply the fractions and thus the answer of 20/9 you can simplify the improper fraction if you want the answer is still the same. Hope this helps.

5 0

3 years ago

Given two points A and B, there is only one segment that you can name: AB. With three collinear points A, B, and C, there are th

aksik [14]

Answer: 10

Imagine you have 2 slots or boxes that are empty. They represent the possible choices for the letter you pick. For example, you can place B in slot 1 and D in slot 2. There are 5 choices for slot 1 (A,B,C,D,E) and four choices for slot 2. Why 4? Because after we pick the letter for slot 1, we have one less letter to pick from. We can't reuse that letter.

Now multiply those values 5 and 4 to get 20. There are 20 different ways to pick a pair of letters from a pool of 5 total. However, order does NOT matter because the segment AB is the same as BA. Since order doesn't matter, we are doubly counting when we shouldn't. In other words, our count is two times higher than it should be. Instead of 20 pairs, it's actually 20/2 = 10 pairs. That's why the answer is 10.

The list of 10 segments are: {AB,AC,AD,AE,BC,BD,BE,CD,CE,DE}

Side note: you can use the nCr combination formula with n = 5 and r = 2 to get the same answer.

4 0

3 years ago

Linkin Corporation is considering purchasing a new delivery truck. The truck has many advantages over the company’s current truc

Romashka [77]

Answer:

Payback is 7.3 years

NPV $3,099

Step-by-step explanation:

The formula for payback period period=initial investment/annual cost savings

The initial investment is the amount of cash outflow that would be required to purchase the new delivery truck,which is $54,750,while on the other hand the annual cost savings is $7,500

cash payback period=$54,750/$7,500=7.3 years

Ordinarily,the expected payback is 1/2 of 8 years=4 years.

The net present is the present worth of the future cost savings as well as the scrap value of the truck in year 8,calculated by multiplying the cash flows with the discounted factors for relevant years as below:

Years cash flow DCF at 8% Present values

0 -$54,750 1 -$54,750

1-7 years $7500 5.2064 $39,048

8 $34,800 0.54027 $18,801

NPV $3,099

Note that the $34,800 =$7500+$27300

The year 1-7 factor is annuity factor for 8% 7 years

3 0

3 years ago

Help pls for question 5 answer would be appreciated

Damm [24]

It will be 89 because 27+17+15+13+8+3+6

3 0

2 years ago

C. 25 D. 6<br> Geometry math question please help me

Sophie [7]

Hello!

According to the dashes, you can see that the two separate triangles are congruent. Therefore, these two angles are congruent. We will solve below.

6n-10=50

We add 10 to both sides.

6n=60

Divide both sides by 6.

n=10

Therefore, our answer is A) 10.

I hope this helps!

3 0

2 years ago