suppose a line has slope -2/3 and passes through the point (1, 8). which other point must also be on the graph?
A (7, 4)
B (7, 12)
C (-5, 4)
D(-5, -12)

Answers

Answer 1
Answer:   Choice A.   (7,4)

============================================

Explanation:

Use the slope and given point to find the y intercept

y = mx+b

8 = (-2/3)*(1) + b

8 = -2/3 + b

8 + 2/3 = b

24/3 + 2/3 = b

26/3 = b

b = 26/3

The equation of the line is y = (-2/3)x + 26/3

To confirm this, plug in x = 1 and we should get y = 8, due to the point (1,8)

y = (-2/3)x + 26/3

y = (-2/3)*1 + 26/3

y = -2/3 + 26/3

y = (-2+26)/3

y = 24/3

y = 8

So that verifies we have the correct equation.

--------------

Next, go through each answer choice to see if the x coordinate of the point leads to the y coordinate.

If we try x = 7, then,

y = (-2/3)x + 26/3

y = (-2/3)(7) + 26/3

y = -14/3 + 26/3

y = (-14+26)/3

y = 12/3

y = 4

This shows that (7,4) is on the line. Choice A is the answer

That rules out choice B.

----------------

If we tried x = -5, then,

y = (-2/3)x + 26/3

y = (-2/3)(-5) + 26/3

y = 10/3 + 26/3

y = 36/3

y = 12

meaning that (-5,12) is on the line. That rules out choices C and D.

Refer to the graph below. It visually confirms that of the four answer choices, only point A is on the line. I used GeoGebra to make the graph.


Related Questions

Please help Thank you ​

Answers

Answer:

[tex]c=13feet[/tex]

Step-by-step explanation:

[tex]c^{2} =a^{2} +b^{2}[/tex]

[tex]c^{2} =5^{2} +12^{2}[/tex]

[tex]c^{2} =25+144[/tex]

[tex]c^{2} =169[/tex]

[tex]c=\sqrt{169}[/tex]

[tex]c=13feet[/tex]

Hope this helps,

Have a great day ahead :)

help very easy 5th grade math im in rush please help im very tired

Answers

Answer:

D

Hope that this helps!

starts at +8 and move -3 . starts at -8 and move-3 . start at 0 and -3. starts at +4 and move -4.​

Answers

Answer:

end -8 and move -3 . start at -8 and move -3

Vanessa received a $12,000 loan from the bank to buy a motorcycle. She will repay the loan to the bank with an $300 monthly payment.

Answers

Answer:

40 months

Step-by-step explanation:

It will take Vanessa 40 months or 3 years and 4 months to repay the bank their loan amount(without interest ofc).

Answer:

Time = 42 months

Step-by-step explanation:

[tex]Monthly \ payment = [rate + \frac{rate}{(1 + rate)^{month}-1}] \times principal[/tex]

Monthly payment = 300

Principal = 12000

[tex]Rate \% = \frac{300}{12000} \times 100 = \frac{30}{12} = \frac{5}{2} = 2.5[/tex]

Substituting and solving Months = 42 months

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Using the properties of integer exponents, match each expression with its equivalent expression. ArrowRight arrowRight arrowRight arrowRight

Answers

Answer:

Please find the complete question in the attached file.

Step-by-step explanation:

For question 1:

[tex]\to 5^{-3}=\frac{1}{5^3}=\frac{1}{5\times 5 \times 5}= \frac{1}{125}\\\\[/tex]

For question 2:

[tex]\to -5^{-3}=-\frac{1}{5^3}=-\frac{1}{5\times 5 \times 5}= -\frac{1}{125}\\\\[/tex]

For question 3:

[tex]\to -(5^{-3})^{-1}=-(\frac{1}{5^3})^{-1}=-(5 \times 5 \times 5)= -125\\\\[/tex]

For question 4:

[tex]\to -(5^{-3})^{0}=-(\frac{1}{5^3})^{0}=-(\frac{1}{5 \times 5 \times 5})^0= (-\frac{1}{125})^0=1\\\\[/tex]

This is the answer

To the question

The world's largest cookie was baked in North Carolina in 2003. Its diameter was 100 feet and it contained about 6,000 pounds of chocolate chips! If the cookie was a cylinder 1 foot tall, and you wanted to cover it with icing, how many square inches would you have to ice? Use 3.14 for .

Answers

Answer:

16022 square foot

Step-by-step explanation:

The world's largest cookie was baked in North Carolina in 2003. Its diameter was 100 feet and it contained about 6,000 pounds of chocolate chips! If the cookie was a cylinder 1 foot tall, and you wanted to cover it with icing, how many square inches would you have to ice? Use 3.14 for .

We find the surface area of the cylinder

= 2πr(r + h)

r = Diameter /2 = 100 feet/2

r = 50 feet

h = 1 feet

Hence

2 × 3.14 × 50(50 + 1)

= 16022.122533 square foot

= 16022 square foot

HELP ASAP IM BEING TIMEDD

Answers

Answer:

53/100

Step-by-step explanation:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

8 / 15 = 0.533

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 533

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule I applies, so 8/15 (or 0.533) rounded to the nearest hundredth in decimal format is:

0.53

 

Next, we will make 8/15 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:

0.53 = 0.53/1

Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:

(0.53 x 100) / (1 x 100) = 53/100

That's it. 8/15 rounded to the nearest hundredth is displayed below (simplified if necessary):

53/100

Answer:

53.33% is the correct answer

PLEASEE HELP I NEED ASAP TY SM

Answers

Answer:

51

Step-by-step explanation:

166-13=153

153/3=51

51

sorry if that didn't make sense, that is just how i solved it

Oscar rides his skateboard
58mile in14hour. How fast, in miles per hour, does he ride his skateboard?

Answers

Answer:

4

Step-by-step explanation:

Answer:

the answer to this is 4 mph

Step-by-step explanation:

i think sorry if it is wrong

-12x2x-1
pls tell noob nerds sssssssssssssssssssssssssssss

Answers

[tex]\sf\purple{24}[/tex] ✅

Step-by-step explanation:-

[tex] - 12 \times 2 \times - 1 \\ = 24[/tex]

Note:-

[tex]( - \times - ) = + [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

PLS HELP!! WILL GIVE BRAINLIEST!!

Answers

The answer to this equation is 2x/x+7 or 2x over x+7

Answer:

[tex] \dfrac{2x}{x + 7} [/tex]

Step-by-step explanation:

[tex] \dfrac{4x^2 - 16x}{2x^2 + 6x - 56} = [/tex]

Factor the numerator and denominator.

[tex]= \dfrac{4x(x - 4)}{2(x^2 + 3x - 28)}[/tex]

[tex]= \dfrac{4x(x - 4)}{2(x + 7)(x - 4)}[/tex]

[tex] = \dfrac{2x}{x + 7} [/tex]

The histogram shows the results of a survey asking students how many windows are in their homes. How many students have less than 10 windows in their homes. Enter your answer in the box. Help ASAP I will mark brainlest

Answers

Answer:

10

Step-by-step explanation: can u tell me if am right

How many farms less are there in the United States if the number of farms decreased from 5,859,169 to 5,382,162? (Write the operation and the answer) no links

Answers

In order to figure out the answer we can do subtraction in this cause we can write down 5,859,169-5,382,162 which equals 477,007 so there are 477,007 less farms in the United States

3. Sam has a total of 22 quarters and nickels. The coins total value is $2.90. How many quarters and nickels does he have?​

Answers

Answer:

22?

Step-by-step explanation:

2.90=q(.25)+n(.05)
whats q?
q=22-n
2.90=(22-n)(.25)+n(.05)
solve for n...
n=13
so we have 13 nickels
q=22-13=9

Find the value of x.

Answers

Answer:

D

Step-by-step explanation:

The midsegment AC is half the sum of the parallel bases, that is

AC = [tex]\frac{DF+EB}{2}[/tex] , then

x = [tex]\frac{13+9}{2}[/tex] = [tex]\frac{22}{2}[/tex] = 11 → D



Matt is saving to buy a new motorcycle. If he deposits $70 at the end of each month in an account that pays an annual interest rate of 3.5%, how much will he have in
60 months? Assume that the compounding is being done monthly

Answers

Answer:

bro I don't know. I just need the points so I can keep getting answers. good luck tho I guess.

The yearbook staff receive 75 submissions for yearbook articles. Paul will accept 2/5
of all submissions. Currently, Paul plans for the yearbook to have 156 pages.
How many more pages will Paul need to add to the yearbook to have 2 articles on every 13 pages? Show your work and explain your thinking.

Answers

Answer:

2/5 of 75 is 30 thats all i have for because i am haveing trouble with the same question

Step-by-step explanation:

the area of a circle is 81 pi m^2. what is the circumference, in meters? express your answer in terms of pi.

Answers

Answer:    18pi

============================================================

Explanation:

The area 81pi square meters leads to the radius 9 meters

Use the formula A = pi*r^2 to see why this is the case. You plug in A = 81pi and solve for r to get r = 9.

-----------------

Once you know the radius, you can determine the circumference C

C = 2*pi*r

C = 2*pi*9

C = 2*9*pi

C = 18pi

The circumference is the perimeter, or distance, around the circle.

The solution is incorrect. HIGHLIGHT the step that does not follow logically from the previous step. Explain why it is incorrect.

Answers

It’s wrong because you put the x and the 3 in parentheses when it’s wrong there

I dont get it yall help​

Answers

Answer:

y = 3x + 1.

Step-by-step explanation:

The slope is 3 and the y-intercept is at y = 1.

Answer:

y = 3x + b

Step-by-step explanation:

Essentially the question is asking us to find the equation of the line in slope intercept form

Slope intercept form: y = mx + b

Where m = slope and y = y intercept

First let's find the slope

Slope = change in y over change in x

Looking at the line as y goes up 3 x goes up 1

hence slope (m) = 3/1 or just 3

Now let's find the y intercept

The y intercept is equal to the y value of the point where the line passes the y axis

The line passes the y axis at ( 0 , 1 ) and the y value of that point is 1

Hence, y intercept (.b ) = 1

Finally we substitute 3 for m and 1.for b in y = mx + b to get the equation of the line

We get y = 3x + 1.

What is the result when the number 82 is decreased by 8.6%? Round your answer to the nearest tenth.​

Answers

Answer:

74.948

Step-by-step explanation:

Have a nice day

Answer:

74.948

Step-by-step explanation:

To decrease a number by a percentage, we can simply multiply the number by the reciprocal of the decrease.

To decrease 82 by 8.6 % , we can simply multiply 82 by 91.4%……..

82 x .914= 74.948

Rounded to nearest tenth……..74.9

Which angle is complementary to ∠X?

Answers

Answer:

Complementary angles sum to 90°.

∠X has ∠P complementary to it as:

P + X = 90°

What is the volume of the cylinder shown? Use 3.14 for pi. 4cm is the radius and 9cm is the height.

Answers

Answer:

The formula is 4cm times 9cm which is 36cm. Then times that by pi which is 113.04. The answer is 113.04

Step-by-step explanation:

Answer:

Volume - 452.16 cm

Step-by-step explanation:

First we need to find the area of the circle.

Area of a circle - (3.14)r^2

Insert the radius in the formula -

(3.14) (4)^2

3.14 x 16

50.24 is the area of the circle

Now, we have to multiply this value by the height of the cylinder in order to find the volume.

50.24 x 9 = 452.16 cm

Michael deposits $4000 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 4 years? PLEASE ANSWER QUICK

Answers

Answer:

$960

Step-by-step explanation:

simple interest = [tex]\frac{P R T}{100}[/tex]

= [tex]\frac{4000*6*4}{100}[/tex]

= $960

I = PRT

I = 4000×0.06×4= 960

Interest = 960 dollars

1. Two dice are thrown at the same time . What is the probability that the sum will be 7 or 11 ?

2. A ball is drawn at random from a box containing 6 red balls , 4 white balls and 5 blue balls.
Determine the probability that is red or white.​

Answers

Answer:

1. 0.2222222

2. .6667

Step-by-step explanation:

for question 1

there can only be 36 outcomes so you find out how many time you could get 7and2 which is 8 from so u write 8.36=.2222

for question 2

divide the outcome by the total out comes example(there are 6 red balls and 4 white out of 15 so you do 10/15=.6667)

Answer:

#1

Outcomes with sum of 7:

1 + 6, 2 + 5, 3 + 4, 4 +3. 5 + 2, 6 + 1

Outcomes with sum of 11:

5 + 6, 6 + 5

Total outcomes:

6*6 = 36

Required probability:

P(sum of 7 or 11) = (6 + 2)/36 = 8/36 = 2/9 or 22.22%#2P(red or white) = (6 + 4)/(6 + 4 + 5) = 10/15 = 2/3 or 66.67%

plz help me, i need help with this and i dont understand what this means

Answers

Answer:

x               y

1               5

0.8 (4/5)   4

0.4 (2/5)   2

Step-by-step explanation:

Plug in the y values for y and solve

4 bottles of water cost 10 dollars at a music festival.

Based on the ratio, how much does 3 bottles of water cost?

Answers

Answer:

7 dollars and 50 cents, price per bottle is 2 dollars (you can get this answer by dividing 10/4) and 50 cents multiply that by 3 and you get the answer, 7 dollars and 50 cents.

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

6) Find the value of x

Answers

Answer and Step-by-step explanation:

We are given a linear pair. The angles of a linear pair add up to 180.

To find x, add the two angles together and equal it to 180, then solve for x.

126 + x + 23 = 180

Simplify.

149 + x = 180

Subtract both sides of the equation by 149.

x = 31

x = 31 is the answer.

#teamtrees #PAW (Plant And Water) #ALM (All Lives Matter)

please help me i dont understand

Answers

Answer:

alternate interior, 37 degrees

step-by-step explanation:

these are alternate interior angles and alternate interior angles are always equal :)

can someone help me plss

Answer choicies

A.0.27

b.0.30

c.0.23

d. 0,10

Answers

Answer:

b. 0.30

Step-by-step explanation:

To find the relative frequency, divide the frequency of smoothie votes 30 by the total number of votes 100.

[tex]\frac{30}{100} =0.30[/tex]

Other Questions
Hospital patients are administered oxygen from an pressurizedhyperbaric oxygen chamber. 600.0 L of oxygen is compressed in acylinder at 160.0 atm. What volume of oxygen can a cylinder supply at apressure of 3.0 atm? Two children and their dog are outside. The children are skating, and the dog is eating. It begins to rain, and the children and dog rush inside so quickly that it causes them to breathe more rapidly. When they are inside, the children dry their hair using towels, and the dog dries it's fur by shaking it's fur.Look at the list of actions below:1. The children skating2. The dog eating3. The children breathing more rapidly4. The dog breathing more rapidly5. The children using towels to dry their hair6. The dog shaking it's fur to dry it's furWhich actions best represent inherited behaviors?A - 2,3,4,6B - 2,4,6C - 1,5D - 1,2,3,4,5,6 what is budget head no.of other goods , furnishing goods , repair and maintenance , printing charges , office supplies ? Helppppppppppppppppppp Ill mark you brainlist dont respond if youre going to put something random I will report you :) Which microscope were cells first observed? Select the correct reflexive verbs to complete the sentences What is pOH? ?A. pOH = Iog[] . pH = Iog[] C. pH = Iog[]D. pOH = [(OH) Evaluate: 2^-4=A1/8B-16C1/16D-8 Work out the following calculations and give your answers to the nearest 1000a) 251 x 638 the lenths of the sides of a triangle are in the extended ratio 5:9:10. the perimeter of the triangle is 48 cm. what are the lengths of the sides? A place with a specific territory, clearly defined borders, citizens, laws, and government is best described as a(n) Which angle is NOT coterminal with 110 degrees-250degrees480degrees-110 degrees830 degrees Please help Thank you From a population of 200 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is determined that the sample mean is 56. The standard error of the mean is _____. a. 2 b. greater than 2 c. 3 d. less than 2 help very easy 5th grade math im in rush please help im very tired The band club needs $1328 for decorations for this years concert. So far, they have $43. Find the minimum amount each of the 30 members can raise to meet their goal. 2 step Inequalities starts at +8 and move -3 . starts at -8 and move-3 . start at 0 and -3. starts at +4 and move -4. Which represents the value of s in s + 12 = 100? Vanessa received a $12,000 loan from the bank to buy a motorcycle. She will repay the loan to the bank with an $300 monthly payment. The first time you read a reflective essay during a peer review, what are you mainly looking for?the essay's big idea background to the anecdote evidence for the writer's claimthe writer's anecdote