What is the equation of the line through the origin and (7,2)

Answers

Answer 1

Answer:

y=[tex]\frac{2}{7}[/tex]x

Step-by-step explanation:

First: find slope of line by using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] with the two points (0,0) and (7,2)

slope(m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{2-0}{7-0}[/tex] = [tex]\frac{2}{7}[/tex]

Second: plug your data into the point slope formula [tex]y-y_1=m(x-x_1)[/tex]

y-0=[tex]\frac{2}{7}[/tex](x-0)

y-0=[tex]\frac{2}{7}[/tex]x

y=[tex]\frac{2}{7}[/tex]x

Answer 2

Answer:

y=2/7x

Step-by-step explanation:


Related Questions

Johnny will work 15 hours a week during the 36 week school year, and 40 hours a
week the other 16 weeks of the year. If he makes 9 dollars per hour before taxes
and plans to save half of the money, how much will he have saved for the entire
year?
answer choices:
a- $4,248
b- $5,310
c- $10,620
d- $1,944

Answers

The answer is B-5,310

What number is not an integer
3407, 6.729, 0, -46

Answers

Answer:

6.729

Step-by-step explanation:

Integers only include plsitive and negative numbers and zero. 6.729 is a number alright but it is a fractional or decimal number.

6.729
^ short answer

what is 56897712937e+ - (-73618260) ??

Answers

Your answer is 1.54737637e11

Answer:

154737637418

Step-by-step explanation:

If the second term in a geometric sequence is -8 and the common ratio is 2, what is the value of the third term?
-4
-10
-16

Answers

Answer:-16

Step-by-step explanation:

Evaluate the function.
f(x) = -x^2+ 7x - 13
Find f(-3)

Answers

the answer to this is -25
f(x) = -x^2 +7x-13
f(-3) = -(-3)^2 + 7(-3) - 13
f(-3) = 3^2 -21 -13
f(-3) = 9-21-13
f(-3)= -25

There are 11 frogs at the pond. There are 5 frogs in the water. The rest are in the mud. How many frogs are in the mud?

Answers

Answer: 6

Reason: 11-5=6

Answer:

This is easy math. 11-5=6. Six frogs are in the water.

Step-by-step explanation:

11 represents the whole of frogs, and 5 represents the frogs in the water.

Peter is saving money to buy an MP3 Player. After one month, he has $50. After two months he has $85. After three months, he has $120. He plans to keep saving at the same rate. How long will it take Peter to save enough money to buy an MP3 Player that costs $295?

Answers

Answer:

9 months

Step-by-step explanation:

peter is saving 35 dollars per month.  

295=35x

295/35=8.42 which is less than 295

9 is an approximate answer

35*9 equals 315, which is enough to pay 295 and have 20 dollars left over

The ordered pairs below represent a relation. Is the relation a function? (4,6) (5,6) (6,7) (7,8)

Answers

Answer:

no because two inputs have the same outputs

Step-by-step explanation:

A dog trainer is trying to find a triangular area behind his house that encloses 1800 square feet for his dog to run. He has the first two fence posts at (6, 0) and at (0, 25). The final fence post is on the property line at x = 30. Find the point where the trainer can place the final fence post.

Answers

Answer:

[tex]C = (30,500)[/tex]

Step-by-step explanation:

Given

[tex]Area = 1800ft^2[/tex]

[tex]A = (6,0)[/tex]

[tex]B = (0,25)[/tex]

[tex]C(x,y) = (30,y)[/tex]

Required

Determine the coordinates of C

The area of triangle is calculated as thus:

[tex]Area = \frac{|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|}{2}[/tex]

This gives:

[tex]1800= \frac{|6(25 - y) + 0(y - 0) + 30(0 - 25)|}{2}[/tex]

[tex]1800= \frac{|6(25 - y) + 30(0- 25)|}{2}[/tex]

[tex]1800= \frac{|6(25 - y) + 30(-25)|}{2}[/tex]

[tex]1800= \frac{|150 - 6y -750 |}{2}[/tex]

[tex]1800= \frac{|150 -750- 6y |}{2}[/tex]

[tex]1800= \frac{|-600- 6y |}{2}[/tex]

Multiply through by 2

[tex]2 * 1800= |-600- 6y|[/tex]

[tex]3600= |-600- 6y|[/tex]

[tex]3600= |-(600+ 6y)|[/tex]

[tex]3600= 600+ 6y[/tex]

Solve for 6y

[tex]6y = 3600 - 600[/tex]

[tex]6y = 3000[/tex]

Solve for y

[tex]y = 3000/6[/tex]

[tex]y = 500[/tex]

Hence:

The point is:

[tex]C = (30,500)[/tex]

Identify all the numbered angles that are congruent to the given angle.
Justify your answers.

Answers

Answer/Step-by-step explanation:

The reasons for the stated numbered angles that are congruent to the given angles are written in the parentheses as follows:

7. <7 ≅ 65° (alternate interior angles)

<4 ≅ 65° (corresponding angles)

<1 ≅ 65° (vertical angles)

8. <4 ≅ 51° (alternate interior angles)

<5 ≅ 51° (corresponding angles)

<7 ≅ 51° (vertical angles)

9. <1 ≅ 120° (corresponding angles)

<3 ≅ 120° (alternate angles)

If x2 = 20, what is the value of x?

Answers

Answer:

10

Step-by-step explanation:

20/2=10 so x=10

Answer:

10

Step-by-step explanation:

what is the steps to this problem.
2(3b-2)=2(2b+12)

Answers

Answer:

14

Step-by-step explanation:

Step 1:

2 ( 3b - 2 ) = 2 ( 2b + 12 )     Equation

Step 2:

6b - 4 = 4b + 24     Multiply

Step 3:

6b = 4b + 28    Add 4 on both sides

Step 4:

2b = 28     Subtract 4b on both sides

Step 5:

b = 28 ÷ 2    Divide

Answer:

b = 14

Hope This Helps :)

The home that you want to purchase requires that you pay 3 points towards a $225,600 loan. Determine the cost of the home after the 3 points have been applied.

a.$225,600

c.$230,112

b.$227,856

d.$232,368

Answers

............…… is b ………

Answer:

D

Step-by-step explanation:

Comment above.

2. Find the domain and range of the function: *
1 point
f (x)=
3(x + 2)2 +7
212
Domain is all reals, range is y greater than or equal to 7
Domain is all reals, range is y less than or equal to 7
Domain is all reals, range is all reals
Domain is x greater than or equal to 7. range is all reals
Domain is x less than or equal to 7, range is all reals
3.

Answers

I think the correct answer would be :

Domain is all Reals , Range is all Reals.

is there a way you guys can show me how to graph this equation? if not something will do

Answers

Answer:

you can use an online graphing calculator

Step-by-step explanation:

Use the link in the screenshot

btw, the line after the word calculator is the cursor, so don't put anything after the word calculator.

Simplify
56
to lowest terms.
64

Answers

Answer:

7/8 is the simplified fraction for 56/64 by using the GCD or HCF method. Thus, 7/8 is the simplified fraction for 56/64 by using the prime factorization method.

Step-by-step explanation:

Partial credit
00:00
Selma buys 10 juice boxes. She wants to give 2 juice boxes to each friend.
Part A
Which expressions can Selma use to figure out how many friends can get juice boxes? Choose all that apply
A.
10 - 2
B. 0 + 2. 2 + 24 + 2. 6 + 2
10 - 2
D
10 X 2
E. 10 - 2.8 - 2.6 -2.4 - 2.2 - 2
00:00
Part B
Solve the problem. How many friends can get juice boxes?
Enter you answer in the box

Answers

Answer:

A

Step-by-step explanation:

you will figure out how many friends can get juice boxes if you do 10-2 and you keep going until you have 0 left

How i do this yall..?

Answers

Solve for nn by simplifying both sides of the equation, then isolating the variable.

n=4, −2

Answer:

We know that a modulus gives us the absolute value of a number

Hence,  this modulus will give a positive value, regardless of the actual value in the modulus

| -1 + n | = 3

(-1 + n) or (1 - n) = 3 -------------------This tells us that either one of the values will          give us the same answer

-1 + n = 3   or   1 - n = 3

n = 4          or   n = -2  

Solve and Simplify -3-7/8​

Answers

Answer:-1.25

Step-by-step explanation: First you add -3 and -7 it is -10/8 then you devide -10/8 and it is -1.25

Who can help me with this

Answers

A: How many total hours were worked this week?

Answer- 14 hours were worked this week

B: How many overtime hours were worked?

Answer- 36 overtime hours were worked

I hope this helps you out!!

Answer:

A. 41 hours were worked the whole week

Shanti is making prize bags for her friends. She will use a total of 32 toys and 40 erasers in the prize box. What is the greatest number of prize bags Shanti can make if she wants each bad to have the same number of toys in the same number of erasers? The greatest number of prize bags Shanti can make is ?

Answers

shanti can make a max of 32 bags

Find the midpoint of the segment with the following endpoints.
(-6, 4) and (-1,-6)

Answers

Answer:

Hello

Midpoints of (-6,4),(-1,-6)

P(a,b)=(x1+x2/2),(y1+y2/2)

        =(-6+-1/2),(4+-6/2)

        =(-7/2),(-2/2)

        =(-7/2),(-1)

Midpoints of the segment with endpoints (-6, 4) and (-1,-6) are (-7/2),(-1)

Hope it helps you......

Find the error and and the correct answer

Answers

Answer:

Error: Multiplied both sides by 3/4 instead of 4/3.

Solution: x = 16

Step-by-step explanation:

The error is that you multiplied both sides by [tex]\frac{3}{4}[/tex] instead of dividing both sides by [tex]\frac{3}{4}[/tex].

This is an error because:

[tex]\frac{3}{4} *\frac{3}{4} x\neq x[/tex]

Actually:

[tex]\frac{3}{4} *\frac{3}{4} x=\frac{9}{16} x[/tex]

What you want to do instead is divide both sides by [tex]\frac{3}{4}[/tex]. Remember, dividing both sides by [tex]\frac{3}{4}[/tex] would be the same as multiplying both sides by [tex]\frac{4}{3}[/tex].

Now, lets find the correct answer:

[tex]\frac{3}{4}x=12[/tex]

Multiply both sides by 4/3.

x = 16

So the correct answer would be x = 16.

I hope this helps. Happy studying.

which answer is right
Which graph represents a proportional relationship?

Answers

I think the one with the straight lines going up to the right. It’s increasing at the same rate and the other ones are different. Sorry if it’s wrong.

Enter the value of 7 + (-3) - 3 - 7

Answers

Answer:

-6

Step-by-step explanation:

Simplify: 7 - 3 - 3 - 77 - 3 - 3 - 7 = -6

I hope this helps!

Answer:

-3

Step-by-step explanation:

Select a true statement *

15 points

To convert a Unit Rate into another, we have to add or subtract a Unit Ratio to the original Unit Rate.

To convert a Unit Rate into another, we have to multiply the original Unit Rate by one or two Unit Ratios.

To convert a Unit Rate into another, we have to obtain a denominator different than one.

It is no possible to convert a Unit Rate into another.

Answers

Answer: To convert a Unit Rate into another, we have to multiply the original Unit Rate by one or two Unit Ratios.

Step-by-step explanation:

Unit rates are usually convertible to other units using multiplication and division attributes to ensure equivalence depending on preference or units being converted. Once the ratio or proportion between the two units (original and target) have been obtained, the original Unit is multiplied by the ratio of the two units to obtain the target unit rate. This way both units are equivalent to each other.

Give an example of two events that are not mutually exclusive.​

Answers

Answer: in the case of rolling a die the event of getting an 'odd-face' and the event of getting 'less than 4' are not mutually exclusive and they are also known as compatible event. The event of getting an 'odd-face' and the event of getting 'less than 4' occur when we get either 1 or 3.

Step-by-step explanation:

also turning ur body (left and right)

solve for x 3x+10 3x -28 will mark brainest answers are 1. 33 2. 34 3. 35 4. 36 ty so much 1 left godbless ​

Answers

Answer:

1.  x = 33

Step-by-step explanation:

3x+10 + 3x -28 = 180

3x + 3x = 180 + 28 - 10

6x = 198

x = 198/6

x = 33

Answer:

33

Step-by-step explanation:

By the same side interior angle theorem, we can find that 3x + 10 and 3x - 28 are supplementary. Knowing this, we can make the equation:

(3x + 10) + (3x - 28) = 180

Now we can solve for x. Combine like terms.

6x - 18 = 180

Add 18 from both sides.

6x = 198

Divide both sides by 6.

x = 33

So the value of x would be 33.

I hope you find my answer and explanation to be helpful. Happy studying.

f(x) = 3x + 2
What is f(5)?

Answers

17, you just substitute the 5 for the x
The new problem would be f(5)= 3(5)+2
Simplify to f(5)=15+2
Answer f(5)= 17

Hello!

f(x) = 3x + 2

Since you are provided with f(5), we will replace every "x" in the equation with the number 5.

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

I hope this helps you! Have a great day!

- Mal

Find the midpoint of the segment with the following endpoints.
(-6, 4) and (-1,-6)

Answers

Answer:

(−7 / 2, −1)

Step-by-step explanation:

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