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Zolol [24]
3 years ago
14

What is the equation of a line that has an x-intercept of -4 and a y-intercept of 8 ?

Mathematics
1 answer:
podryga [215]3 years ago
7 0

Answer:

y=2/-1+8

Step-by-step explanation:

  • -4= (-4,0) -4=x1 0=y1, 8= (0,8) 0=x2 8=y2
  • formula is, y2-y1/x2-x1
  • 8-0/0-4=8/-4=4/-2= 2/-1
  • 2/-1 is the slope or (m), use (-4,0) or (0,8) i used (0,8) because its easier.
  • (0,8), 0=x1 8=y1
  • formula is y-y1=m(x-x1)
  • y-8=2/-1(x-0) ---->distribute
  • y-8=2/-1x-0 --->get y alone

          +8          +8

  • so the answer is y=2/-1+8

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Jill and Gill will have the same amount of money in week 13, they will both have $410.
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Assuming that a soap bubble is a perfect sphere, what is the diameter of a bubble containing 1,000 cm3 of air? Round to the near
Minchanka [31]

Answer:

17.85 cm

Step-by-step explanation:

1) Area of a sphere formula: A=4\pi r^{2}

2) Plug in A: 1000 = 4\pi r^{2}

3) Simplify: 1000 = 12.56r^{2}

4) Divide Each Side By 12.56: 79.61783439 = r^{2}

5) Take the Square Root of 79.61783439 to Solve for r: 8.922882628 = r

6) Double r to get the diameter: 8.922882628*2= 17.84576486

7) Round to the Nearest Tenth: 17.85 cm

8 0
3 years ago
Suppose that there are five young women and six young men on an island. Each woman is willing to marry some of the men on the is
pochemuha

Answer:

Based on the current information, the last man remaining unmarried will be a choice between two

Jason marries Anna

Matt marries Elizabeth

Kevin marries Barbara

Larry marries Diane

Carol can marry either Nick or Oscar

Step-by-step explanation:

The basic method to sort which woman will be marrying which man is simple.

We have to extract the choice by comparing choices of each woman side by side and then selecting the least common one and hence sorting one by one.

First, let's name all the women and men

1. Anna

2. Barbara

3. Carol

4. Diane

5. Elizabeth

We will refer to them with the initial letter of their name . A for Anna, B for Barbara, C for Carol, D for Diane, E for Elizabeth.

The men :

1. Jason

2. Larry

3. Matt

4. Kevin

5. Oscar

6. Nick

And they will be referred as J for Jason, L for Larry, M for Matt, K for Kevin, O for Oscar  and N for Nick.

Options for A : J , L ,M

Options for B : K, L

Options for C : J, N , O

Options for D : J, L , N , O

Options for E : J, M

As we can see , no one else wants Kevin other than Barbara so :

Kevin marries Barbara

Moving onwards:

Elizabeth can marry either Jason or Matt,

Meanwhile Anna can marry either Jason , Larry or Matt  

Hence,

Matt marries Eilzabeth

as Anna has two more choices still which are Jason and Larry.

Further, seeing the options for Carol and Diane

Carol can marry either Jason, Nick or Oscar while Diane can marry Larry as well as Jason , Nick and Oscar

We can select Jason as the match for Anna as Larry is also a choice for Diane.

Hence, Jason marries Anna

Now we are left with Larry , Nick and Oscar.

Since Carol can only decide from Nick and Oscar but Diane can decide from Larry, Nick and Oscar. Larry is the ideal option for Diane

so, Larry marries Diane

Now in the end, Carol can either choose between Nick or Oscar.

If she chooses Nick to marry, Oscar is left single

If she chooses Oscar to marry, Nick is left single.

7 0
3 years ago
The sum of person x and person y is 2640. if person x's income is 20% more than person y, find person x's income.
Masja [62]

Answer:

I do not understand she question do you mean the sum of their income is 2640

if so, then the answer is 440 to be x income

Step-by-step explanation:

x income = 20% or 1/5 of y income

y income = 5 of x income

we know that the sum of their income = 2640

which means that

x + y = 2640 =

1/5y + y = 2640

6y/5 = 2640

cross multiply to give us

6y = 5(2640)

6y = 13200

divide through by 6 to give us,

6y/6 = 13200/6

y = 2200

since we know that x income is 20% y income,

therefore, x income =

20/100 * 2200

= 440

therefore,

x income = 440

y income = 2200

5 0
2 years ago
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