What is the slope-intercept form equation of the line that passes through (5.7) and (8, 22)?

A) y=-5x+18
B) y=5x+18
C) y=5x-18
D) y=-5x-18

Answers

Answer 1
hsisnzb ok ok hello ok
Answer 2

Answer:

C . y= 5x -18

Step-by-step explanation:

[tex](5,7) = (x_1 ,y_1) \\ (8,22)=(x_2,y_2)[/tex]

Plug in the values into the following equation

[tex] \frac{y - y _1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] \frac{y - 7}{x - 5} = \frac{22 - 7}{8 - 5} \\ \frac{y - 7}{x - 5} = \frac{15}{3} [/tex]

Cross Multiply

[tex]3(y - 7) = 15(x - 15) \\ 3y - 21 = 15x - 75[/tex]

Collect like terms and simplify

[tex]3y = 15x - 75 + 21 \\ 3y = 15x - 54[/tex]

Divide through by 3

[tex] \frac{3y}{3} = \frac{15x}{ 3 } - \frac{54}{3} \\ y = 5x - 18[/tex]


Related Questions

Can someone help me please

Answers

Answer:

b

Step-by-step explanation:

As x → + ∞ , y → + ∞ , as x → - ∞, y → - ∞

This means as x increases to the right, y increases up and as x increases to the left, y is increasing downwards

The sum of 3 times a number and 5 is 7 Write this as an expression. NEED ASAP

Answers

Answer:

(3x • 5 = 7)

your welcome

What is the greatest amount of money that rounds to​ $108.60 when rounded to the nearest​ dime? What is the least amount of money that rounds to​ $108.60? Explain your answers.

Answers

Answer:

$108.59  

Step-by-step explanation:

The dime which is worth 0.10 U.S. dollar, is a ten-cent coin, one-tenth of a United States dollar

the value is 0.1

Now in rounding up of numbers the dime is located one decimal place away i.e 0.5 in the number given in the problem statement

to round up to the nearest dime we have to consider the next number to the dime if this number is greater than 5 we will round up if it is less than five we can not perform any rounding up operation

hence the greatest amount of money is

since the number next to 5 is 9 and 9 is greater than 5 we will round up from 5 to 6

This makes 108.59  the greatest amount of money that rounds to​ $108.60

how much is 3/4 of $2.99

Answers

Answer:

2.24

Step-by-step explanation:

you multiply 3/4 by 2.99

Answer: $2.24

Step-by-step explanation:

CONCEPT TO KNOW

When you come across statements such as [a of b] is basically a×b

If you are still confusing, I can provide some numerical examples.

1/2 of 4=2 (1/2 × 4) 4/5 of 5=4 (4/5 × 5)

This also applies to your question.

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

SOLVE

a of b

=3/4 of 2.99

=3/4 × 2.99

=$2.24 (rounded)

1. Again we have two methods, A and B, available for teaching a certain industrial skill. There is an 80% chance of successfully learning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is substantially more expensive and is therefore used only 25% of the time (method A is used the other 75% of the time).
A worker learned the skill successfully. What is the probability that he was taught by method A?
2. Again we have two methods, A and B, available for teaching a certain industrial skill. There is an 80% chance of successfully learning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is substantially more expensive and is therefore used only 25% of the time (method A is used the other 75% of the time).
What does a correct probability tree for this problem look like?

Answers

Answer:

The probability that a worker was taught by method A given that he learned the skill successfully is 0.72.

Step-by-step explanation:

(1)

The information provided is:

A = if method A is used

B = if method B is used

S = successfully learning the skill

P (A) = 0.75

P (B) = 0.25

P (S|A) = 0.80

P (S|B) = 0.95

Compute the probability that a worker was taught by method A given that he learned the skill successfully as follows:

[tex]P(A|S)=\frac{P(S|A)P(A)}{P(S|A)P(A)+P(S|B)P(B)}[/tex]

            [tex]=\frac{0.80\times 0.75}{0.80\times 0.75+0.95\times 0.25}\\\\=\frac{0.60}{0.60+0.2375}\\\\=\frac{0.60}{0.8375}\\\\=0.716418\\\\\approx 0.72[/tex]

Thus, the probability that a worker was taught by method A given that he learned the skill successfully is 0.72.

(2)

The probability is attached below.

The sum of a number and the quantity seven times the reciprocal of the number.

Answers

Answer:

Hey there!

The reciprocal of a number, n, is 1/n.

Thus, the answer is n+7(1/n)

Let me know if this helps :)

True or False: If a function crosses an axis at (a,0), this location is known as an x-intercept of the function.

Answers

Answer:

True

Step-by-step explanation:

Given

[tex]Location: (a,0)[/tex]

Required

Does the location represent the x intercept?

The general point form of a function is (x,y)

When y = 0;

This represents that the function crosses the y axis.

And whenever the function crosses the y axis, we have the x intercept of the function

Hence, the statement is true

how do I simplify this expression?​

Answers

Answer:

2

Step-by-step explanation:

Answer:

cube 8 so 8x 8x8=512divide by three 170.6

Step-by-step explanation:

170.666666667 is your answer please mark me brainliest

If the mean score on a stress test is 5, the standard deviation is 2, and the distribution is normal, what would be the mean value when converted to a z distribution

Answers

Answer: 0

Step-by-step explanation:

Given that :

Mean score on test = 5

Standard deviation on test = 2

Distribution = normal

The mean value when Converted to a z - distribution :

Zscore = (x - mean) / standard deviation.

Hence z score for the mean score will be :

X = mean score

Zscore = ( 5 - 5) / 2

Zscore = 0 / 2

Zscore = 0

Mean value when Converted to a z distribution will be 0

Write the coordinates of the vertices after a rotation 90° counterclockwise around the origin.

y

x

-10

10

-10

10

0

S

T

U

V



S(-7, -9)



S′(

9

,

-7

)

T(-7, 0)



T′(

,

)

U(-2, 0)



U′(

,

)

V(-2, -9)



V′(

,

)

Answers

Answer:

y axis, x axis, give a verticle coordinate

Kira received a $20.50 gift card for a photo center. She used it to buy prints that cost 6 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following. B = 20.50 - 0.06x What is the remaining balance on the card if Kira bought 50 prints?

Answers

Answer:

Did you check and see if anybody asked this question before on google

Step-by-step explanation:

Michelle purchased 2/4 of a pound of pastries for her family. She has to divide them equally among 6 family members. How many pounds of pastries did each family member receive?

Answers

Answer:

0.4

Step-by-step explanation:

Do 2/4 divided by 6.

Is the product of 2x - 5 and 3x2 + 5x - 7 equal to the product of 5x – 2 and 3x2 + 5x - 7? Explain your answer.

Answers

Answer:

see I need help for chemistry pls anyone here helps me I must submit before 10:30

The volume of dry goods, like apples or peaches, can be measured usings bushels, pecks, and quarts. A bushel contains 4 pecks, and a peck contains 8 quarts. What is the relationship between number of bushels, b, and the number of quarts, q?

Answers

Answer:

1 bushel = 32 quarts

Step-by-step explanation:

It is given that,

No. of pecks in a bushel = 4

No of quarts in a peck = 8

We need to find the relationship between number of bushels, b, and the number of quarts, q.

No. of quarts in 4 pecks = 4×8 = 32 quarts

It would mean that there are 32 quarts in 1 bushel.

Hence, 1 bushel = 32 quarts

h(-3)=(-3)to the power of 2 -3(-3)+5

Answers

Answer:

16

Step-by-step explanation:

h(-3)=(-3)          2 -3(-3)+5= put it all in the calculator and it gives you 16

   ^      ^                    

 -3      -3            

                               

Solve the equation. k/-9 = 7

Answers

Answer:

k= -63 and equation answer is 7

Step-by-step explanation:

Answer: Solve for  

by simplifying both sides of the equation, then isolating the variable.  k= -63

:)

4 consecutive integers to equal 2

Answers

the answer is 2,4,6,and 8

m∠XWY is twice ∠XWZ. Explain whether JJJG WZ must be the angle bisector of ∠XWZ.

Answers

because a bisector splits the angle in half

The measure of the angle ∠XWZ will be half of the measure of the angle ∠XWY.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The measure of the angle ∠XWY is twice the measure of the angle ∠XWZ.

∠XWY = 2 ∠XWZ

Simplify the equation, then we have

∠XWZ = ∠XWY / 2

Then the measure of the angle ∠XWZ will be half of the measure of the angle ∠XWY.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2

Solve the system of equations x+y=-8 and -9x-6y=60 by combining the equations

Answers

Answer:

x = - 4    y = - 4

Step-by-step explanation:

x+y= - 8

-9x-6y=60

First, solve for x in the first equation:

x+y = - 8       Subtract y from both sides

x + y - y = -8 - y    y cancels on the left

x = - 8 - y

Now plug in what you found for x into the 2nd equation and solve for y.

- 9x - 6y = 60

-9(- 8 - y) - 6y = 60   Multiply out

72 + 9y - 6y = 60

72 + 3y = 60  Subtract 72 from both sides

72 - 72 + 3y = 60 - 72    72 cancels on the left

3y = - 12     Divie both sides by 3

3y/3 = -12/3     3 cancels on the left because 3/3 = 1

y = -4

Now plug your answer for y back into the first equation to get x.

x + y = -8

x + (-4) = - 8  Add 4 to each side

x - 4 + 4 = - 8 + 4   4 cancels on the left

x = -4

x = - 4 and y = - 4

brainliest for correct answer

Answers

Answer:

x=16  y=25  z=14.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=16

Please help me 5 points Xd

Answers

-6
-10+4
Move the 4
Which equals -6

Need help as soon as possible

Answers

Answer:

66°

Step-by-step explanation:

Parker earns $4 in rewards for every $75 he spends at the grocery store. If he earned $44 in rewards last month. how much did he spend at the store

Answers

he spent $825 at the store

Answer:

825$

Step-by-step explanation:

you divide 44 by 4 that gets you 11 then multiply 11 times 75

Robert is designing a rectangular window based on the amount of wood he has available to make a frame around the window robert wants the permiter of the window to be 200 inches robert wants the base and the height of the window

Answers

Answer:3

Step-by-step explanation:

addition of unlike fractions 5/3 + 7/4​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{3 \frac{5}{12}}}}}} [/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: \: \frac{5}{3} + \frac{7}{4}}} [/tex]

Convert the given fractions into like fractions.

To do so, Take the L.C.M ( Least Common Multiple ) of 3 and 4.

To find out the L.C.M of given numbers,

First of all, find the prime factors of each numbers.

3 = 3 × 1

4 = 2 × 2 × 1

Take out the common prime factor i.e 1

Also take out the other remaining prime factors i.e 2 , 2 and 3

Now, multiply those all prime factors and obtain L.C.M

= 1 × 2 × 2 × 3 = 12

L.C.M of 3 and 4 = 12

[tex] \dashrightarrow{ \sf{ \frac{5 \times 4 + 7 \times 3}{12}}} [/tex]

[tex] \dashrightarrow{ \sf{ \frac{20 + 21}{12}}} [/tex]

Add the numbers : 20 and 21

[tex] \dashrightarrow{ \sf{ \frac{41}{12}}} [/tex]

Convert the improper fraction into mixed fraction

[tex] \dashrightarrow{ \boxed{\sf{3 \frac{5}{12} }}}[/tex]

Remember : While performing the addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus , obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator. But in case of improper fraction, it needs to be deduced on mixed fraction.

Hope I helped!

Best Regards!

~ TheAnimeGirl

Answer:

3⁵/12

Step-by-step explanation:

5/3+7/4=?

Get the LCM of the denominator which is 12

5×4=20

7×3=21

The fractions are now 21/12+20/12=41/12

Simplify 41/12 to get

3 whole number and 5 over 12 as a fraction

are the points 5,7 and 7,5 equal​

Answers

Answer:

Example 2: If your answer is a decimal value such as two point five, it could be ... If y equals x cubed, plus 2 x, plus 5 and z equals x squared, plus 7 x, plus 1

Step-by-step explanation:

Sometimes you need to find the point that is exactly midway between two other points. For instance, you might need to find a line that bisects (divides into two equal halves) a ... For example, the number exactly halfway between 5 and 10 is: ... 3 + 4 2 ) \left(\dfrac{6.4 + (-10.7)}{2},\,\dfrac{3 + 4}{2}\right) (26.4+(−10.7)​,23+4​).

What is the value of a for the equation below?
15 + 2a = 35
a = 10
a = 5
a = 20
a = 25

Answers

Steps to solve:

15 + 2a = 35

~Subtract 15 to both sides

2a = 20

~Divide 2 to both sides

a = 10

Best of Luck!

what's 9 divide by 9

Answers

Answer: 1

Step-by-step explanation: When you divide a number by itself, the answer is always 1

The equation 9 ÷ 9 equals 1 because 9 goes into 9 one time.

~ .

Rewrite the following expression and then evaluate. −4 - 12

Answers

-4 - 12= 16
-4 + -12= 16

What is the least common multiple of 5, 10, and 12? What is the least common multiple of 6, 10, and 12? What is the least common multiple of 2, 4, and 9? help:(

Answers

Answer:

LCM of 5, 10, and 12 is 60

6, 10, and 12 is 60

2, 4, and 9 is 36

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