Mathematics High School



Write an equation in slope-intercept form of the line that passes through (7, 2) and (2, 12).
y =

Answers

Answer 1

Answer:

y = - 2x + 16

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (7, 2) and (x₂, y₂ ) = (2, 12)

m = [tex]\frac{12-2}{2-7}[/tex] = [tex]\frac{10}{-5}[/tex] = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 12 )

12 = - 4 + c ⇒ c = 12 + 4 = 16

y = - 2x + 16 ← equation of line

Related Questions

There are 45 female performers in a dance recital. The ratio of men to women is 7:9. How many men are in the dance recital? There are _____ men in the dance recital.

Answers

Answer:

35 men

Step-by-step explanation:

To solve, you can divide 45/9 which you get 5. After you get 5, multiply that by 7 and you get 35. Hope this helps

Jenna wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet. She right and solve the equation

Answers

Answer:

I mean I don't fully understand this bc the question doesn't fully make sense but she should use 15.5 feet of fencing on each side. Hope that helps

Step-by-step explanation:

Triangle DEF and triangle PQR are similar and have the same orientation. The hypotenuse of triangle PQR is on the same line as the hypotenuse of triangle DEF and is one-third the length of DF.What is the equation of the line that the hypotenuse of triangle PQR lies on? Y = x + On the hypotenuse of triangle PQR, if coordinate P is at point (2, -4), then coordinate R is at point ( , ).

Answers

Answer:

y= -2x and (3,-6)

Step-by-step explanation:

h

Help plz:):):):):)):):):):):)

Answers

Answer:

The answer is 60%

Step-by-step explanation:

12+8 = 20

12/20 = 0.6

The perimeter of a rectangle is 154 cm. The ratio of the length to the width is 10: 1. Find the length and the width​

Answers

Answer:

length=70cm

width=7cm

Step-by-step explanation:

total ratio=10 + 1

=11

length(2)=10/11 x 154 cm

=10 x 14cm

=140cm

one length is 140 cm/2=70cm

width(2)=1/11 x 154cm

=14cm

one width is 14cm/2=7cm

The length and the width should be considered as the 70 cm and 7 cm.

Calculation of the length and width:

Since

The perimeter of a rectangle is 154 cm.

The ratio of the length to the width is 10: 1.

So here total ratio=10 + 1

=11

Now length 2 should be

=10/11 x 154 cm

=10 x 14cm

=140cm

So,

one length is 140 cm/2=70cm

Now

width(2)=1/11 x 154cm

=14cm

And,

one width is 14cm/2=7cm

hence, The length and the width should be considered as the 70 cm and 7 cm.

Learn more about length here: https://brainly.com/question/2468841

Candice leaves on a trip driving at 25 miles per hour. Four hours later, her sister Liz starts from the same location driving at 50 miles per hour. How long after Liz leaves home will she catch up to Candice?


9 hours

4 hours

7 hours

8 hours

Answers

Answer:

The time that Liz will take to catch up with Candice after Liz starts is:

4 hours.

Step-by-step explanation:

We're gonna use the formula:

Distance = Speed * Time

And we'll give a variable for each driven distance:

C= Candice's driven distance. L= Liz's driven distance.

Now, Liz begins when four hours had passed, then, from the beginning of this exercise Candice's distance is:

25 miles / hour * 4 hours = 100 miles

Candice had a 100 miles lead when Liz started, so, the distances 1 hour after Liz began were:

C= 25 miles / hour * 1 hour + 100 miles = 125 miles. L= 50 miles / hour * 1 hour = 50 miles.

When two hours have passed:

C= 25 miles / hour * 2 hour + 100 miles = 150 miles. L= 50 miles / hour * 2 hour = 100 miles.

When three hours have passed:

C= 25 miles / hour * 3 hour + 100 miles = 175 miles. L= 50 miles / hour * 3 hour = 150 miles.

And, when four hours have passed:

C= 25 miles / hour * 4 hour + 100 miles = 200 miles. L= 50 miles / hour * 4 hour = 200 miles.

Then, Liz will catch up with Candice 4 hours after she leaves because after that time the distance traveled is the same for them.

please explain how to get the answer to this. ​

Answers

Answer:

65°

Step-by-step explanation:

They are corresponding angles if M and N are parallel

Answer:

m∠b = 65°

Step-by-step explanation:

∠b and the 65° angle are known as corresponding angles meaning they are equivalent. Therefore, m∠b is 65°.

Im stuck on this question i need help

Answers

Answer: 1/4 and thats 25%

The ratio of ducks to geese in a pond is 3 : 5. There are 27 ducks.
How many geese are there?

Answers

Answer:

D:G-------> 3:5

27/3=9

9 x 5= 45

45 geese

she was born December 7 if she is 17 what year was she born?

Answers

Answer:

2003 assuming she is 17 right now

Step-by-step explanation:

Find the difference: 5.68 -
- 2.15 - (-1.34) = *

Answers

Answer:

THE ANSWER FOR THIS QUESTION IS 9.17

the answer to this question is: 4.87

Can somebody please help me with this pleaseee

Answers

Answer: -2, 2

Step-by-step explanation:

0 = 5x^2 -20

0 = 5(x^2 -4)

0 = 5(x - 2)(x + 2)

0 = x - 2

2 = x

0 = x + 2

-2 = x

How much pure water must be mixed with 10 liters of a 25% acud solution to reduce it to a 10% acid solution

Answers

Answer:

15 liters of pure water must be added

Зp + 2р – р

Please helppp haha

Answers

Answer:

4p

Step-by-step explanation:

3p + 2p = 5p

5p - p = 4p

Answer:

4p

Step-by-step explanation:

i want branliest please

How many solutions does the following equation have ?
- 32 +9 – 2x = -12 – 5x
Choose 1 answer:
No solutions
B
Exactly one solution
С
Infinitely many solutions

Answers

Answer:Exactly one solution.

Step-by-step explanation:

- 32 +9 – 2x = -12 – 5x

1.Add numbers

-23 - 2x= -12-5x

2.Rearrange terms

-2x - 23 = -12 - 5x

3. Rearrange terms

-2x - 23 = -5x-12

4. Add 23 to both sides of the equation

-2x-23+23= -5x-12+23

5.Simplify

-2x= -5x+11

6.Add 5x to both sides of the equation

-2x+5x=-5x+11+5x

7.Simplify

3x=11

8.Divide both sides of the equation by the same factor

[tex]\frac{3x}{3}[/tex] = [tex]\frac{11}{3}[/tex]

9.Simplify and Solution

x= [tex]\frac{11}{3}[/tex]

Problem ID: PRABESEJ ​

Answers

Answer:

??

Step-by-step explanation:

WHO KNOWS THIS IF YOU KNOW YOU WILL EARNT 100+

Answers

Answer: Mom bought 10 chickens

Step-by-step explanation: if each chicken had 2 wings and there were 20 wings you divide

Answer:

3. Zack has 6 times more seeds than Ben, if Ben has 5 seeds, just multiply how many seeds Ben has by 6, which means Zack planted 30 seeds (This can be written Z=B*6, where Z is how many seeds Zack has, and B is how many seeds Ben has)

1.  If there are a total of 40 cards divided into 8 groups of students, that means that each group got 5 card (40 ÷ 8 = 5)

2. If each chicken has 2 wings, and she has a total of 20 wings, that means that she bought a total of 10 chickens (20 ÷ 2 = 10)

plz help me ..!!!!!!​

Answers

answer should be G) (2,4,6,8)

Complete the equation for the horizontal line that passes through (5.-7).

Answers

Answer:

it would be y= -7

Step-by-step explanation:

What cell generates energy for all the other cells (it’s for science but it doesn’t show science as a subject so yes)

Answers

lol, that would be biology

but I'd say its the mitochondria

) Dana's Cafe has regular coffee and decaffeinated coffee. This morning, the cafe served
22 coffees in all, 50% of which were regular. How many regular coffees did the cafe serve?
regular coffees
Submit

Answers

Answer:

The cafe sold 11 regular coffees.

Step-by-step explanation:

50% of the total 22 coffees is the same as saying half of 22. Divide 22 by 2 to get 11.

Answer:

Write the problem as a mathematical expression.

22/50%

Convert to a decimal.

0.0044

PLease help please i need helo on this

Answers

I=315
IIII
III
II
I
II
III
IIII

Write the slope-intercept form of the equation of the line through the point: (3,2) and slope =2

Answers

Answer:

y=2x-4

Step-by-step explanation:

1 What is the RANGE for the following graph?

25 POINTS PLS HELP

Answers

Answer:

1 ≤ x ≤ 5

Step-by-step explanation:

Given: x + 2 < -5.
Choose the solution set.
{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}

Answers

Answer:

the third one

Step-by-step explanation:

x+2<-5

x<-5-2

x<-7

ANWSER: X | x R, x -7

Step by step explanation;

x+2<-5

Subtract 2 from both sides

X+2-2 < -5 -2

Simplify

X < -7

I’m pretty sure

What is the equation of a line that passes through the points (–3, 4) and (2, 8)?

Answers

Answer:

[tex] \frac{y - 4}{x - ( - 3)} = \frac{8 - 4}{2 - (- 3)} \\ \frac{y - 4}{x + 3} = \frac{4}{5} \\ 5(y - 4) = 4(x + 3) \\ 5y - 20 = 4x + 12 \\ \boxed{4x - 5y + 32 = 0}[/tex]

4x-5y+32=0 is the right answer.

Here are the ingredients needed to make 20 cookies.
Cookies
Ingredients to make 20 cookies.
250 g butter
120 g caster sugar
300 g flour
Sam is going to make some cookies.
She has these ingredients.
625 g butter 360 g caster sugar 1000 g flour
Work out the greatest number of cookies that Sam can make with her ingredients.
You must show your working.

Answers

Answer:

50

Step-by-step explanation:

because 250 g = 20 cookies

500g = 40 cookies

625 = 50 cookies

120 g = 20 cookies

240 g = 40 cookies

360 g = 60 cookies

but you only able to make 50 from butter so the answer is 50

In an effort to save money, Zoe decides to cut back on the number of meals she eats at restaurants each month. She tracks the
number of meals she eats out each month for a year. The data is recorded in the dot plot below.
O
1
2
3
4
5 6 7 8 9 10 11 12 13 14 15
Number of Meals
Which statement about the data is true?
0
The data is skewed left with an outlier.
a
The data is skewed left with no outlier.
The data is skewed right with an outlier.
The data is skewed right with no outlier.

Answers

Answer:

The data is skewed left with an outlier.

Explanation:

Skewness occurs when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the entries lie to the right, so the data set is skewed left.

how many minutes of practice does one picture represent
I-ready
I REALLY NEED HELP i will give you brainlyiest plsss help

Answers

Answer:

where is the picture i can answer it if u put the picture

Step-by-step explanation:

Can u add a image? I can't help if I can't see the question.

Brady needs to cut a piece of scrapbook paper
12 centimeters long. He cuts pieces of the following
lengths. Which cut results in a percent error of 15%?
Select all that apply.

Answers

It is 10.2 centimeters so option A :)

Answer:

Option A and Option C

Step-by-step explanation:

If we know that we have to cut a peice of paper 12 centemiters long, that means a 15% error would be cutting out one of the following lengths....

12 - 12(0.15) = 10.2 cm

or

12 + 12(0.15) = 13.8cm

So from this, we see that the answers are Option A and Option C  

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