Mathematics High School

Which equation below represents a line with a slope of - 2/3 that passes through the point (-4.5 , 10)?

A. y = - 2/3 x + 10
B. y = - 2/3 x +2.7
C. y = - 2/3 x + 7
D. y = - 2/3 x + 13

pls explain the answer if possible ^^​

Answers

Answer 1

Answer:

Option C

Step-by-step explanation:

If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.  

Let's try this with option C. To make things easier, convert -4.5 into decimal form: [tex]-4\frac{1}{2}[/tex]. Substitute [tex]-4\frac{1}{2}[/tex] for x and 10 for y in the equation, then solve:  

[tex]y = -\frac{2}{3} x+7\\\\10 = -\frac{2}{3} (-4\frac{1}{2} )+7\\10 = -\frac{2}{3} (-\frac{9}{2})+7\\10 = 3+7\\10 = 10[/tex]

10 does equal 10, so this is a true statement. Option C is the right answer.

Related Questions

A hopper contains 20 ping-pong balls. There are 6 red, 4 white, 3 green, 2 yellow,
and 5 blue ping-pong balls. Rounded to the nearest thousandth, what is the
probability of drawing a red ball then a blue ball without replacement?
.079
.075
.090
.045

Answers

Answer:

0.079 would be the correct answer

Step-by-step explanation:

you just do 3/10 x 5/19 and then you get the answer

What is a sequence ?

Answers

Answer:

A particular order in which related events, movements, or things follow each other.

Step-by-step explanation:

Hope this helps have a great day :)

Guys, please help me with this question I'm having trouble in solving this

Answers

C I think okay bye now

Mary was allowed a discount of 11% for goods worth sh.8000 and a discount of 8.6% for goods worth sh.17000. What percentage discount was she allowed altogether ​

Answers

Mary got 9.37%. discount .

What is percentage discount?A percentage discount is a reduction in the price of a good or service that is expressed as a number of hundred. A 20 percent reduction, for instance, would result in an item that was originally $100 costing $80.

Given ,

             discount = 11%

So,

        ((8000x0.110) + (17000x0.086)) = 2342

           ⇒     2342 / (8000+17000) = 2342/25000

                                    = 0.0937 or 9.37% discount.

The percentage discount allowed all together was 9.37%.

Learn more about percentage discount

brainly.com/question/24883957

#SPJ2

-3x + 7 > - 17 please someone answer

Answers

Answer:

x<8

Step-by-step explanation:

Answer:

x<8

Step-by-step explanation:

−3x+7>−17

Step 1: Subtract 7 from both sides.

−3x+7−7>−17−7

−3x>−24

Step 2: Divide both sides by -3.

−3x

−3

>

−24

−3

x<8

please help me with this both question i will give you brainliest

Answers

Answer:

I got 40, but the picture cuts off so I don’t know if there’s another number.

Step-by-step explanation:

Just do 8 times 5 to get 40!

Hope this helped!

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40

just do 5 × 8

i remember this lesson when i was grade 4:)

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Can someone please answer with explanation

Answers

Answer:

This percent is a decrease

11 people quit

Step-by-step explanation:

B) Three two-digit integers have a mean average of 16 and a range of 16. The median of the integers is 12. If all three integers are even and all are different to each other, what are the 3 numbers?

Answers

Answer:

The three numbers are 10,12 and 26

Step-by-step explanation:

For the average of the numbers to be 16; it means that the sum of all the numbers will be:

3 * 16 = 48

If the median is 12, it means the middle number is 12

For the range to be 16, the difference between the highest and smallest number is 16

if the lowest is x, then the highest will be (x + 16)

So, if we added these and 12, we get 48

Thus;

(x + 16) + x + 12 = 48

2x + 28 = 48

2x = 48-28

2x = 20

x = 20/2

x = 10

Then, the last number will be x + 16 = 10 + 16 = 26

So, the three numbers are 10,12 and 26

A group of friends sets a goal to live within their means by not letting their car payments exceed 10% Of their monthly income amounts. The table below shows the income and car payments of each person. Which friend is demonstrating financial responsibility to staying within the goal of not having a car payment that exceeds 10% of their monthly income?

Answers

Answer:

carlos

Step-by-step explanation:

Matt drove for 1/2 of the trip, and Justin drove for 1/4 of the trip. Gina and Kaitlyn divided the rest of the driving evenly between them.

If the entire trip is 128 miles, how many miles did Kaitlyn drive?

Answers

Kaitlyn drove 16 miles.

Matt drove 1/2, Justin drove 1/4. Combined, they drove 3/4 of the distance. That leaves 1/4 of 128 miles for Gina and Kaitlyn to split. Half of 1/4 is 1/8.

1/8 x 128 = 16 miles

A tower that is 100 feet tall casts a shadow 125 feet long. Find the angle of elevation of the sun to the nearest degree.

Answers

Answer:

39 degrees

Step-by-step explanation:

tan^-1(100/125)

=39 degrees (cor. to the nearest degree)

I need help Solve 4 – х = -8

Answers

Answer:

Step-by-step explanation:

4 - x = - 8

Bringing like terms on one side

4 + 8 = x

12 = x

I need help fast not not like serious help me

Answers

Answer:

D

Step-by-step explanation:

hope it helps .

sorry about the pic , kinda hard to get the whole

x+2y=3;3x+5y=7 solve by elimination method

Answers

Answer:

(- 1, 2 )

Step-by-step explanation:

Given the 2 equations

x + 2y = 3 → (1)

3x + 5y = 7 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 3x - 6y = - 9 → (3)

Add (2) and (3) term by term to eliminate x

0 - y = - 2

- y = - 2 ( multiply both sides by - 1 )

y = 2

Substitute y = 2 into either of the 2 equations and solve for y

Substituting into (1)

x + 2(2) = 3

x + 4 = 3 ( subtract 4 from both sides )

x = - 1

solution is (- 1, 2 )

Answer:

(2,1)

Step-by-step explanation:

A P E X

solve the equation with steps

x/-3.5+33=30

Answers

Answer:

0.5

Step-by-step explanation:

Which triangle is NLM congruent to ? Please answer !!!!! Will mark Brianliest !!!!!!!!! URGENT

Answers

Answer:

Triangle NLM is congruent to triangle XZY

Step-by-step explanation:

hope this helps

PLEASE HELP!!!!!!!!!!!!​

Answers

There's a theorem for this: the angle made by two intersecting secants of a circle has a measure equal to half the difference of the arcs the secants intercept. In this case,

x = (130° - 30°) / 2 = 50°

Find the percent increase. Round to the nearest percent.
From 96 books to 127 books
The percent increase is
%.

Answers

Answer:

24% i think i hope it the right answer

Step-by-step explanation:

What are the degree and leading coefficient of the polynomial?

Answers

look up the answer on the app socratic, yw

What are the two types of observations?

Subjective Observation
Data Based Observation
Analysis Observation
Objective Observation

Answers

Answer:

data and analysis djdjdjhdhd

Nobody been getting my recent questions please answer this and msg r the last 3 too

Answers

Answer:

The value of the missing angle is 103.

Step-by-step explanation:

Diana is painting a circular mural on her wall. Her mural is going to have a diameter of 7 feet. How much wall space will she be painting?

Answers

it is one cause the wall is circular

Answer: 1

Step-by-step explanation: the wall is circular, it doesn’t has a space

Find the exact value of tan A in simplest radical form.

Answers

Answer:

tan A = 6

Step-by-step explanation:

tan = opposite side/adjacent side

tan A = 6/1 = 6

PLEAS HELP !! ASAP ! I’ll reward with brainliest !! PLEASE PLEASE HELP

Answers

Answer:

D. 2430

Step-by-step explanation:

Please help me with this problem .
sally and belvedere are collecting shirt with a ratio of 4:10. if they collected 462 shirts altogether, how many shirts did sally collect?

Answers

4+10=14

462/14=33

33x4=132

so your answer would be 132 ;)

brainleist

Divide this for me someone plssss

Answers

Answer:

  It is the 3rd one

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

x-6-6/x+4

Find the Average 
100-90-80-89-75-0

No links please

Answers

Answer:

72.3

round from 72.3333333333333333333333333333333333333333333333

Step-by-step explanation:

The product of two consecutive odd integers is 323. What is the larger integer?

Answers

Answer:

19

Step-by-step explanation:

This is because since 19 is the larger odd number, 17 must be the smaller one, and 19 times 17 is 323.

Hope this helps! :)

Two numbers decomposed into prime factors are expressed as follows: 2³. 3. 5 is 2². 3².7 Indicate the number of prime factors Which represents the least common multiple of these numbers

Answers

Answer:

2³. 3². 5. 7

Step-by-step explanation:

Since the first number is 2³. 3. 5 and the second number is 2². 3².7, we multiply the prime number with the highest exponents.

Since 2³. 3. 5 = 2³. 3¹. 5¹. 7⁰ and 2². 3².7 = 2². 3². 5⁰. 7¹ ,we multiply the prime number with the highest powers to get the least common multiple of both numbers, so, we have the L.C.M = 2³. 3². 5¹. 7¹ = 2³. 3². 5. 7

2. ABC: You eat at your favorite restaurant, and your bill is $52.60. On top of that, you need to pay 8% sales tax, and leave a 20% tip for the waiter based on the pre-tax amount. How much will you pay total?​

Answers

Answer:

$67.25

Step-by-step explanation:

52.60 x 8%  = 52.60 x 0.08 = 4.21

52.60 x 20% = 52.60 x 0.20 = 10.44

52.60 + 4.21 + 10.44 = 67.25

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