Mathematics High School

A line passes through the points (1, 4) and (3 -4). Which is the equation of the line?

Answers

Answer 1

Answer:

Step-by-step explanation:

(-4 - 4)/(3 - 1)= -8/2= -4

y - 4 = -4(x - 1)

y - 4 = -4x + 4

y = -4x + 8

answer is option 1

Related Questions

Henry is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $118 and allows unlimited mileage. Company B has an initial fee of $55 and charges an additional $0.90 for every mile driven. For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m.

Answers

Answer:

Step-by-step explanation:

step by step explanation

Answer:

after 70 miles, company B will charge Henry more.

Step-by-step explanation:

at 70 miles both companies will charge the same price

118 = 55 + 0.9m

m = (118 - 55) divided by 0.9 = 70

What is 2 hundredths in standard form in fifth grade

Answers

0.02

0._ is tenths and

0.0_ is hundredths

Answer:

Step-by-step explanation:

5th Grade Math 1.2, Place Value of Whole Numbers, Standard Form ... this is the name of the video. I hope it helps.

Find the solution to the system of equations:

7x-8y=-23

7x-7y=-14

Answers

Answer:

Solutions: x = 7, y = 9; or (7, 9)

Step-by-step explanation:

Given the following systems of linear equations:

7x - 8y = -23

7x - 7y = -14

Since the coefficients of x in the given system have the same sign, we could use the process of elimination by subtracting the two equations.

7x - 8y = -23

- 7x - 7y = -14

-y = -9

Divide both sides by -1 to solve for y:

[tex]\frac{-y}{-1} = \frac{-9}{-1}[/tex]

y = 9

Substitute the value of y into either one of the given equations to solve for x:

7x - 7y = -14

7x - 7(9) = -14

7x - 63 = -14

Add 63 to both sides:

7x - 63 + 63 = -14 + 63

7x = 49

Divide both sides by 7 to solve for x:

[tex]\frac{7x}{7} = \frac{49}{7}[/tex]

x = 7

Double-check whether x = 7 and y = 9 are valid solutions to the given system:

x = 7, y = 9:

7x - 8y = -23

7(7) - 8(9) = -23

49 - 72 = -23

-23 = -23 (True statement).

7x - 7y = -14

7(7) - 7(9) = -14

49 - 63 = -14

-14 = -14 (True statement).

Therefore, the solution to the given systems of linear equations are x = 7, and y = 9, or (7, 9).

Is x+y=10 linear or non

Answers

Answer:

Not

Step-by-step explanation:

In this case, the degree of variable y is 1 , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

What is power of 3 square root of 4 / square root of 2 in simplest radical form?

Answers

Answer:

√90=3√10

Step-by-step explanation:

Is there a value of x that makes each of the following equalities true? If there is, find it.
a. √x-3=0
b. √x=-10
c. √x+1=0
d. √x=0.1

Answers

Step-by-step explanation:

a. √x - 3 = 0 ⇒ √x = 3 ⇒ x = 3² ⇒ x = 9 b. √x = -10,

no solution as √x is a positive value

c. √x+1=0 ⇒ √x = - 1,

no solution as √x is a positive value

d. √x = 0.1 ⇒ x = 0.1² ⇒ x = 0.01

√x-3=0x-3=0x=3

If square root is over x only x=3²=9

No solutions as -10 is <0

√x+1=0x+1=0x=-1

If root is over x only then no solutions

√x=0.1

x=0.01

HELP WHAT IS 22 + 5/8 x -1/2
I will give brainliest!

Answers

Answer:

181/8

Step-by-step explanation:

Answer:

5x/8 + 43/2

Explanation:

The answer is the exact value.

what is the answer too 2y-3=-5

Answers

2 − 3 = −5

First we need to Add 3 to both sides of the equation:

2 − 3 + 3 = −5 + 3

Then we simplify:

2 = −5 + 3

2 = −2

Now we divide both sides of the equation by the same term:

2 / 2 = −2 / 2

Final answer: = −1

I hope this helps!

Answer:

Y= - 1

Step-by-step explanation:

2y-3= - 5

+3 +3

2y= -2

/2 /2

Y= -1

Step 1: Add 3 to both sides because you want to cancel out the 3 so you do the opposite of what is say's. For example, if it says 2y-3 add 3 or 2y+3 subtract 3 from both sides.

Step 2: Add 3 to -5 which would be -2

Step 3: Since you're "multiplying" Y to 2 you're going to divide 2 to get Y by itself. So 2/2 cancels out and now you're left with y

Step 4: Divide 2 form -2 and you get -1

Let me know if you have any questions and I hope this helps

Jason has sixteen books and fifteen magazines in his library. He bought several books at a yard sale over the
weekend. He now has ninety-four books in his library. How many books did he buy at the yard sale?

Answers

Answer:

48 books

Step-by-step explanation:

you would take away the 15 magazines because that doesn't matter.you would put 94 books on top first and then subtract 16 books to thatthen putting that problem together you should get 48

What is the value of w in this equation?
10w = 27 + w

Answers

Answer:

w = 3

Step-by-step explanation:

10w = 27 + w

since there is two like terms in this equation which are 10w and w, we can subtract w from both sides to get it on one side of the equation

10w = 27 + w

-w - w

9w = 27

now we have to get w alone so we have to divide 9 by both sides

9w/9 = w

27/9 = 3

so w = 3

X=3

10w=27+w
-w

9w=27
—-
9

W=3

a shop produces 39 salt lamps in 2 weeks. how many salt lamps will they produce in 22 weeks?

Answers

Answer:

You will sell 429 salt lamps in 22 weeks.

Step-by-step explanation:

If m∠2=6x+8 and m∠6=8x-6, find the value of x so that l||m.

Answers

Answer:

x = 7

Step-by-step explanation:

∠2 and ∠6 are known as alternate interior angles. These angles equal one another. Set up the following equation and solve for x.

[tex]m\angle2=m\angle6\\\\6x+8=8x-6\\\\8=2x-6\\\\14=2x\\\\7=x[/tex]

4.
Graph the equation 3x – 2y = -4.

Answers

First of all arrange the equation in terms of y=Mx+c

2y=3x+4

(NOW DIVIDE BY 2 , TO MAKE Y ALONE)

Final answer is : Y = 3/2x + 2

in a subway, x men and y women travel. explain what is meant by the expression: y-x

Answers

Answer:

Step-by-step explanation:

y - x means the the difference in the number of women compared with men.

So if there are 20 women and 14 men, y - x = 20 -1 4 = 6 , that is 6 more women than men.

If there are more men than women then y - x will have a negative value, and there will be, if we flip the above numbers. 6 more men than women.

1\4-2\7 plese show your work

Answers

Answer:

-1/28

Step-by-step explanation:

You need to convert 2/7 and 1/4 into the same denominator. The GCD is 28. 2/7=8/28 and 1/4=7/28. 7/28-8/28=-1/28

Answer:

-1/28

Step-by-step explanation:

You have to find the least common multiple for 7 and 4, the denominators, to add the fractions. The LCM of 7 and 4 would be 28. You would have to multiply 7 by 4 and 4 by 7, meaning you have to multiply the numerators by the same number. 1x7/4x7-2x4/7x4= -1/28.

show your work

3|n-4| = 18

Answers

Answer:

n = 10, n = -2

Step-by-step explanation:

hope it helps.

Mrs. Janssen has a class of 10 students. In her class, there are 4 boys and 6 girls. Mrs. Janssen chooses two students from her class randomly.
What is the probability that she did NOT choose a boy either time?

Answers

Probabilities are used to determine the chance of events

The probability that she did NOT choose a boy either time is 1/3

The given parameters are given as:

[tex]\mathbf{n = 10}[/tex] --- total number of students

[tex]\mathbf{Boys = 4}[/tex] --- total number of boys

[tex]\mathbf{Girls = 6}[/tex] ---- total number of girls

If she did not choose a boy in either selection, then it means that both selections are girls.

So, the probability is calculated using:

[tex]\mathbf{P = P(Girl) \times P(Girl)}[/tex]

The selection is without replacement.

So, we have:

[tex]\mathbf{P = \frac{Girl}{n} \times \frac{Girl-1}{n-1}}[/tex]

Substitute known values

[tex]\mathbf{P = \frac{6}{10} \times \frac{6-1}{10-1}}[/tex]

[tex]\mathbf{P = \frac{6}{10} \times \frac{5}{9}}[/tex]

Simplify

[tex]\mathbf{P = \frac{1}{3}}[/tex]

Hence, the probability is 1/3

Answers

Y intercept: when x = 0
Plug in x = 0
F(0) = -0^2 + 10(0) - 22
F(0) = 0 - 22

The y intercept is (0,-22)

a
8) A bridge builder plans to construct a cable suspension bridge in your town. The cable being used will form
a curve modeled by the equation h(x) = 3x2 - 6x + 200, where x represents the length of cable used (in feet)
and h(x) represents the height of the cable (in feet). At what height will the cable hang closest to the bridge
deck?

Answers

Answer:

197

Step-by-step explanation:

https://www.cusd80.com/cms/lib/AZ01001175/Centricity/Domain/8294/HA2%20Chapter%202%20Review%20Key.pdf

In a muncipality ,Two of the most well-known activities for teenagers are biking and motorcycling riding.Out of 100 teenagers,58 in biking,42 like motorcycling and 18 like both

a.create a veen diagram represent the problem

Answers

Answer:

See below

Step-by-step explanation:

Given:

Total number is 100Biking = 58Motorcycling = 42Both = 18

Biking only:

58 - 18 = 40

Motorcycling only:

42 - 18 = 24

Neither:

100 - (40 + 18 + 24) = 18

Venn diagram consists of:

Biking | Both (Intersection) | Motorcycling | Neither (outside of circles)

40 18 24 18

Work out the mean for the data set below:
3.4, 5.2, 4.7, 3.5, 0.5
Give your answer as a decimal.

Answers

Answer:

3.4 + 5.2 + 4.7 + 3.5 + 0.5

= 17.3

There are a total of 5 numbers

17.3 / 5

= 3.46

HELP ASAP

Solve for the measure of ∠PMR

Answers

Answer:

116*

Step-by-step explanation:

Since <PMR consists of <RPW and <WPM and we know that these are the same, we just have to multiply 58 by 2 and get 116, which will be your answer.

Tell me if I'm wrong :)

I'm not exactly sure how to do this. I know how you would graph it but I don't know the transformation.

Answers

Answer:

Its D.

Step-by-step explanation:

The 3 as the exponent makes it cubic and since the x+1 is in parenthesis you would move it 1 unit to the left

Hey can you guys help me pls :))

Answers

Answer:

-d-1<2. => -(-2)-1=1<2. the forth option is true

y=[3/2] x+3.
Pls help me .
Its a graph sum

Answers

Answer:

I'm not sure what the question is. Graph?

Step-by-step explanation:

See graph.

Answer:

352

what r u do

789

why nt coming

why r u nt talking

The mean of 17,x,10,17,51 is 21 find x

Answers

Answer:

x=10

Step-by-step explanation:

(17+x+10+51+17)/5=21

95+x=105

x=10

The required value of x for the given mean of the data is x = 10.

How to find the mean of the given sample of data?

In order to find the mean for a sample, first count the number of data in a sample, say n. Then, do the summation of all the values in that sample and divide it by the number of data obtained earlier.

Mathematically, it can be written for n number of data x₁, x₂, x₃, ..... as,

Mean = ( x₁ + x₂ + x₃ + .....)/n.

Given that,

The mean of 17, x, 10, 17 and 51 is 21.

It can be written in mathematical form as,

(17+ x + 10 + 17 + 51 )/5 = 21

=> 17+ x + 10 + 17 + 51 = 21 × 5

=> x = 105 - 95

=> x = 10

Hence, for the given data the value of x is 10.

To know more about mean click on,

https://brainly.com/question/22871228

#SPJ2

I need help to divide fractions

BTW I'm in 5th grade

Answers

I can help, what is the question?

Find the area of the similar
figure.
18cm
15cm
Area = 50cm2
Area = [?]cm2
-

Answers

Answer:

270

Step-by-step explanation:

20 large bottoles can be recyled to make 1 fleece jacket how many fleece jackets can you make with 360 large plastic bottoles

Answers

Answer:

18 fleece jackets can be made

I think you have to divide 360 by 20 (Im not sure)

Hopefully this can help :)

spilled $40 into the ratio of 3:7

Answers

Answer:

$12/$28

Step-by-step explanation:

Let x and y represent the two amounts of money adding up to $40.

Assume that x is the smaller amount. Then:

x 3

----- = ----- Remembering that x + y = $40, we get x = $40 - y

y 7

amd sp we have

$40 - y 3

-------------- = ------ which, after cross-multiplication, is $280 - $7y = 3y

y 7

Simplifying this, we get $280 = 10 y, so that y must be $28. If y = $28, x must be $40 - $28, or $12.

$12

Then $40, split in the ratio 3/7, is the ratio ----------------

$28

Check: Note that $12 + $28 = $40, as required, and that $12/$28 = 3/7.

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