Given A(-2,8) and B(4,14), what is the y-intercept of the line AB?
A:-2
B:1
C:10
D:14

Answers

Answer 1

Answer: C:10

Step-by-step explanation:

Equation of a line passes through (a,b) and (c,d) :

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Equation of line passes through A(-2,8) and B(4,14) will be :

[tex]y-8=\dfrac{14-8}{4-(-2)}(x-(-2))\\\\\Rightarrow\ y-8= \dfrac{6}{6}(x+2)[/tex]

[tex]\Rightarrow\ y-8=x+2\\\\\Rightarrow\ y= x+2+8\\\\\Rightarrow\ y=x+10[/tex]

For y-intercept , put x= 0 , we get y= 10

So, the y-intercept = 10

Thus , correct option = C:10


Related Questions

Plzz i need help i'm stuck at this problem

Answers

It’s d hope that helped

Answer:

y = $19.50

x = $17.17

z = $20.67

Step-by-step explanation:

Notice that $13.50 of $22.50 is 60% (in math decimal form 0.6). The same is true for $16.20 of $27.00. Therefore, the value of y is going to be :

0.6 * $32.50 = $19.50

We notice as well that the added taxes to the discount price $13.50 is:

14.31 - 13.5 = $0.81, which at a time is a percent of the discounted sales price. Such percentage is calculated as shown below:

0.81/13.5 = 0.06 (or 6%)

we can then add 0.06 * 16.20 = 0.972 to 16.20 to find the total price "x"that includes tax:

x = $16.20 + $0.97 = $17.17

And we do something similar to find z:

z = $20.67

What is the solution to the system of equations?
0 (3,2
0 (2, 3)
0 (2, 2)
(2,-2)

Answers

Answer:

What are the equations?

A soccer league has 25 sixth graders, 20 seventh graders, and 15 eighth graders. What is the ratio of 8th graders to 7th graders? ***Write your answer in FRACTION form.

Answers

3/4. 3 is the numerator while 4 is the denominator

Shelly deposited $8,000 into a savings
account that earns 4% simple interest.
How much interest did she earn after
three years?

Answers

Answer:

Shelly earned $8,960 in interest.

Step-by-step explanation:

The formula for simple interest is A=P(1+rt). For this problem, the equation is A=8,000(1+0.04x3). 8,000 is the initial balance, 0.04 is the annual interest rate, and 3 is the time in years. Following the order of operations, 0.04 multiplied by 3 is 0.12. 0.12 plus 1 is 1.12. 8,000 multiplied by 1.12 is 8,960.

Answer:

£960

Step-by-step explanation:

So you start of by calculating the interest for one year.

8,000 × 0.04 = 320

Because the interest rate is 4% you will write it as 0.04

And because it is simple interest, you will need to multiply 320 by 3 to get the amount of interest she will get after 3 years.

320 × 3 = 960

If you wanted the total amount of money she would have after receving the interest, you just have to add 960 to the starting amount of 8,000.

8,000 + 960 = 8,960

In this, you are assuming that she doesn't take any money out or put any money in for those 3 years.

I think that's right anyway.

Kory and two of his friends are going to rent a 3 bedroom apartment for $960 a month. The security deposit is $400 and the pet deposit is $260. In addition to the deposits, Kory and his friends must pay first and last month's rent. If they split the cost evenly, how much will each pay to move in?

Answers

Answer:$773.33

Step-by-step explanation:

........................................ ....,....



.....

Answers

...??????????? Okkkkkkk
Thank you so much for the points

Have a great day/night

Rewrite the following equation in slope-intercept form.

9x − 20y = 15


Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer: y=9x/20 - 3/4

Step-by-step explanation:

Order least to greatest: -7.5, 5.3, -5.2, -8.4, 3.1

Answers

Answer: -8.4, -7.5, -5.2, 3.1, 5.3

Step-by-step explanation: First, lets separate the negative numbers and the positive numbers,

-7.5, -8.4, - 5,2 5.3, 3.1

Now, we order from least to greatest!

-8.4, -7.5, -5.2, 3.1, 5.3

Done!

you are rolling a die number 1-6. What is the theoretical probability that you roll a 6?

Answers

Answer:

16.7 percent

So to get a 6 when rolling a six-sided die, probability = 1 ÷ 6 = 0.167, or 16.7 percent chance. So to get two 6s when rolling two dice, probability = 1/6 × 1/6 = 1/36 = 1 ÷ 36 = 0.0278, or 2.78 percent.

I really need help with this question

Answers

I’m pretty sure it is 52/5 is the answer

is 4(x+1) - 3 and 4x + 1 equivalent and why ??

Answers

Step-by-step explanation:

Hey there!

Given;

4(X+1) -3 and 4x+1.

No, they are equivalent.

Reason:

Solving 1st expression.

4(x+1) = 4x + 4 - 3

Now, next expression is: 4x+1.

So, 4x + 4 = 4x+1

So, they are equivalent to eachother.

Hope it helps...

is 4(x+1) - 3 and 4x + 1 equivalent and why?

Step-by-step explanation:

Hey there!

Given;

4(X+1) -3 and 4x+1.

No, they are equivalent.

Reason:

Solving 1st expression.

4(x+1) = 4x + 4 - 3

Now, next expression is: 4x+1.

So, 4x + 4 = 4x+1

So, they are equivalent to eachother.

Hope it helps...

Combine like terms to write an equivalent expression for 9y−7y.

Answers

Answer:

[tex]2y[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\9y-7y\\We\ observe\ that\ the\ terms\ 9y\ and\ -7y\ share\ a\ same\ algaebraic\ co-\\ effecient\ due\ to\ which\ they\ are\ like\ terms.\\Hence,\\9-7y\\=9y+(-7y)\\By\ applying\ distributive\ property\ of\ addition:\\9y+(-7y)=(9+(-7))y=2y[/tex]

Will give brainliest. Explain in detail, please and thank you.

You went to lunch with your friend, and the bill was $19.00. Your lunch is $3.00 more than your friend's. How much was your friend's lunch?

f+ 3 = 19; $8.00
3f + 2 = 19; $8.00
2 + 3 = 19; $8.00
2 - 3 = 19; $8.00

Answers

Step-by-step explanation:

f, your friends lunch

f + 3, your lunch

f + f + 3 = 19

2f + 3 = 19

2f = 16

f = 8

Your friends lunch was $8

I hope this helped!!!!

How do you solve for x/3 - x/5

Answers

Answer:

x/3 - x/5 = 2/15x

Step-by-step explanation:

Please mark brainlliest if you want.

Peter has a 25 acre field. He 20.5 acres with sweet corn . What fraction of his field does Peter plant with sweet corn

Answers

Answer:

82%

Step-by-step explanation:

Multiply 25*4 to get 100.

Then multiply 20.5*4 because what you do to one side you have to do for the other.

You end up with 0.82 or 82%

Based on the length of the field and the amount of the field that was planted the fraction of the field planted is 4.1/5.

The field has a length of 25 acres and Peter plants in 20.5 acres of them.

The fraction that is planted is:

= Amount of field planted on / Total area of field

Solving will give:

= 20.5 / 25

Take to the simplest form by dividing both by 5:

= 4.1 / 5

In conclusion, the fraction planted on is 4.1/ 5.

Find out more on fractions at https://brainly.com/question/11289219.

X decreased by 61% I need the right answer

Answers

Answer:

X-61=100

X=100-61

X=39%

Step-by-step explanation:


can y’all help me with this is due today at the end of the day

Answers

Answer:

slope = 2.5 y intercept = 5

Step-by-step explanation:

the slope represents how much it cost to rent the bike per hour and the y intercept represents a fee that you pay when you rent the bike.

Answer:

m/slope=1/2. For every two hours more of the bike being rented, the price rises 5 dollars.

Step-by-step explanation:

The sum of a number, n, and -2 is multiplied by -4. The result is at most 36. Which shows the inequality that represents this situation and its solution?

The answer choices given are
1.−4(n+2)≤36; n≤7
2.−4(n−2)≤36; n≥−7
3.−4(n−2)≤36; n≥−11
4.−4(n+2)≤36; n≤−11

Answers

Answer:

Step-by-step explanation:

-4(n+3) <36;n<7

Rewrite the expression as square of a monomial.
0.09a^2
EXTRA POINTS!!!

Answers

Answer:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

0.3

Step-by-step explanation:

Brainliest?

We want to rewrite the given expression as a square of a monomial. We will get:

0.09*a^2 = (0.3*a)^2

So we have the expression:

0.09*a^2

We want to write this as a square of a monomial like:

(c*a)^2 = 0.09*a^2

Basically, we must find a number c such that:

c^2 = 0.09

c = √(0.09) = 0.3

Then the monomial is:

0.3*a

And we can rewrite the given expression as:

(0.3*a)^2

If you want to learn more, you can read:

https://brainly.com/question/11363511

The scale of a map of Florida is 2 cm = 3 miles. If the distance between Apopka and Orlando on the map is 12 cm what is the actual distance?

Answers

Answer:

18 miles

Step-by-step explanation:

2cm=3 miles

12cm=18 miles

You multiply both sides by 6,

Ruben swims several times per week in a lake near his home. Last summer, the average water temperature was 20 °C. This summer, the average water temperature was 16 °C. What was the percent of decrease in the temperature?

Answers

16/20 = 0.8
0.8*100= 80
100-80= 20%

A company is installing a new ski lift at a height of 225
meters above the mountain, to ascend at an angle of 48
degre.
Determine the length of the rope the elevator will require
to run from the base to the top of the mountain

Answers

Answer:

4.6875

Step-by-step explanation:

225 divided by 48 = 4.6875

the answer is 4.6875

Simplify 6^7/6^5 in index form

Answers

Answer:

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex] , then

[tex]\frac{6^{7} }{6^{5} }[/tex]

= [tex]6^{(7-5)}[/tex]

= 6²

Step-by-step explanation:

[tex] {6}^{7 } - 5 \\ 6 { }^{2} [/tex]

=36

Help due soon will give brainliest

Answers

Answer:

46

Step-by-step explanation:

So if angle 4 is the same as angle 5 then 180-134=46

if the two angles make a flat line then the total of both angles is 180.

Answer:

the anwer is 46

Step-by-step explanation:

find the m 1 if m 5 +134

A skateboarding club randomly surveyed 200 people who visited the club's website about their favorite skateboard brand. The data collected is shown in the table.

Answers

Answer: 36/200 = 18/100 = 18%

Step-by-step explanation:

Sally is seeking a loan with a simple interest rate of 8% per year. If she wants to
borrow $5,000, then how much will she be charged in interest for 2 years.

Answers

The correct answer is 800

Who can answer this?

Answers

D = {3,6,12,18)
R = {5,7,9,10}
It is not a function since for the 6 value of x, there are two different y outputs
Domain={3,6,12,18}
Range={5,7,9,10}
Function= No because the x value repeats (6)

Hope this helps

Have a great day/night

505 u
225 u
What is the Scale Factor? Show the work for the equation method
to solve, please.

Answers

Answer:

1.5

Step-by-step explanation:

Please hurry this is due at 11:59

Answers

Answer:

y=5

x=30

Step-by-step explanation:

the triangle with all congruent angles is an equilateral triangle, which means all side and angles are congruent, so 8y has to equal to 40 by dividing 40 by 8.

x and the angle about forms a complementary angle, so it has to be 30 degrees to add up to 90.

Which expression is equivalent to 15x^-3z^5/3x^7z^-5 please answer spr fast

Answers

Answer:

[tex]5x^{-10}z^{10[/tex]

Step-by-step explanation:

Given

[tex]\frac{15x^{-3}z^5}{3x^7z^{-5}}[/tex]

Required

Evaluate

[tex]\frac{15x^{-3}z^5}{3x^7z^{-5}}[/tex]

Start by dividing 15 by 3

[tex]\frac{5x^{-3}z^5}{x^7z^{-5}}[/tex]

Apply the following law of indices on indices x and z

[tex]\frac{a^m}{a^n} = a^{m-n[/tex]

So, the expression becomes:

[tex]5x^{-3-7}z^{5-(-5)[/tex]

[tex]5x^{-3-7}z^{5+5[/tex]

[tex]5x^{-10}z^{10[/tex]

Answer:

Step-by-step explanation:

Answer:

5^4

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