Complete the point-slope equation of the line through (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis and (7,4)(7,4)left parenthesis, 7, comma, 4, right parenthesis. Use exact numbers. y-4=y−4=y, minus, 4, equals

Answers

Answer 1

Answer:

[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (2,3)[/tex]

[tex](x_2,y_2) = (7,4)[/tex]

Required

Complete the equation y - 4.....

First, we need to determine the slope as follows:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{4 - 3}{7 - 2}[/tex]

[tex]m = \frac{1}{5}[/tex]

The equation is then calculated as thus:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - 4 = \frac{1}{5}(x -7)[/tex]

Open bracket

[tex]y - 4 = \frac{1}{5}x -\frac{7}{5}[/tex]

Add 4 to both sides

[tex]y - 4 +4= \frac{1}{5}x -\frac{7}{5} + 4[/tex]

[tex]y = \frac{1}{5}x -\frac{7}{5} + 4[/tex]

[tex]y = \frac{1}{5}x +\frac{-7+20}{5}[/tex]

[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]

Answer 2

Answer:

y - 4 = 1/5 ( x - 7 )

Step-by-step explanation:

Khan Academy


Related Questions

What needs to be done to rationalize the expression 5 over 2 minus radical 3 so there will no longer be a radical in the denominator

Answers

Answer:

[tex]10+5\sqrt{3}[/tex]

Step-by-step explanation:

Given the expression: 5 / (2 - √3)

To rationalize the denominator, we multiply the numerator and denominator by the conjugate of the denominator. The conjugate of (2 - √3) is (2 + √3). Hence multiplying gives:

[tex]\frac{5}{2-\sqrt{3} }*\frac{2+\sqrt{3}}{2+\sqrt{3}} \\\\=\frac{10+5\sqrt{3} }{4+2\sqrt{3}-2\sqrt{3}-3 }\\\\Simplifying\ the\ expression:\\\\ =\frac{10+5\sqrt{3} }{1}\\\\= 10+5\sqrt{3}[/tex]

Hence: 5 / (2 - √3) = [tex]10+5\sqrt{3}[/tex]

How many integers are there between -12 and 12?

Answers

-24 hope this helped!!!!!!!!!

Problem:

Store A has the bat originally priced at $245 and is having a 25% off sale.

Store B’s bat has an original price of $166 but is marked up 20%.

Which store has the better price for the baseball bat

Answers

Answer:

Store A has a better deal

Step-by-step explanation:

Store A-

245x.25=61.25

245-61.25=183.75

Store A's sale price is $183.75

Store B-

166x.20=33.20

166+33.20= 199.20

Store B's new price is $199.20

Conclusion

$183.75 is less than $199.20 so store A has a better deal because you're paying less than what you would be paying at store B

15 feet to 33 feet
What is it

Answers

The answer is 220%.

hope this help

Answer:

If you are doing 15 x 33 it is 495

Let me know if it isn't x and I can change my answer.

Step-by-step explanation:

Hope this helps

Just to let you know I will help you to let me know if you need help with something you can friend me or go to one of my questions and tell me in the

C

H

A

T

Which two operations are needed to write the expression that represents "five less than the quotient of a number anc
three"?
multiplication and subtraction
division and subtraction
multiplication and addition
division and addition

Answers

Division and subtraction

Answer:

Division and subtraction/B

have a good day/night :)

A piece of green rope is being used to make a border around the outside of a sculpture that is in the shape of an equilateral triangle. One side of the equilateral triangle has a length of 3x + 3. Give TWO equivalent expressions that can be used to represent the length of the rope that is used to border all 3 sides.

Answers

Answer:

The equivalent expressions are;

9x + 9

and

9(x + 1)

Step-by-step explanation:

Mathematically, we should understand that an equilateral triangle has all of its sides equal

So if one side is 3x+ 3, the other sides too measures same

Therefore, the length of the rope represents the perimeter of the triangle

This is obtainable by adding all the side lengths together

This will be;

3x + 3 + 3x + 3 + 3x + 3 = 9x + 9

This is also same as 9(x + 1)

Answer:

sussi baker!!!

Step-by-step explanation:

Which two charges have a sum of 0?
+6 charge and +6 charge

-6 charge and -6 charge

+6 charge and -6 charge

2. Where is the number 4 - 8 located on a horizontal number line?

4 units to the left of 4

4 units to the right of 4

8 units to the left of 4


3. Simplify 7 + (-3)

-10

-4

4


5 which fraction is equivalent to -1/6

6/-1

-6/1

1/-6


4. Simplify (4.5)(5)(-2)

45

4.5

-45


6. Which expression is equivalent to 2(m- 5) + 6

2m - 1

2m + 22

2m - 4

Answers

Question: +6 charge and -6 charge

Question 2: 8 units to the left of 4

(4 - 8 = -4 and 8 units left is -4)

Question 3: 4

(7 +(-3) is essentially 7-3 which equals 4 because negative takes over the positive)

Question 5: 1/-6

(it doesn't matter if the negative symbol is on top or bottom, numerator or denominator just the numbers have to stay in the same place)

Question 4: -45

(4.5 times 5 is 22.5, and 22.5 times -2 is -45, the negative takes over the positive)

Question 6: 2m-4

( 2(m-5) +6

distribute first

2 times m = 2m

2 times -5 = -10

so now you have 2m - 10 + 6

combine like terms to get 2m - 4

(-10 + 6 = -4)

To rent a van, a moving company charges $40.00 plus $4.50 per mile. The table shows the total cost for
the number of miles driven. Enter an equation in slope-intercept form to represent this situation.

Answers

Answer: y= 0.50x + 40

Step-by-step explanation:

Find the missing of the largest angle in the triangle shown. 15x
24x
21x​

Answers

Answer:

The largest angle is 72

Step-by-step explanation:

I'm just assuming because

1. you didnt show a picture.

HELPPPP PLEASEEE!!!

Answers

ik the answer is 3 ik it is

Quick question um doing this assignment what numbers are divisible by 4 and 6 ?

Answers

The answer should be 2 it only makes sense

36,360,24,240,12,120, I think there might be more but this is all I could think of rn sorry

Find the measure of the exterior angle.

Answers

it’s dark can’t see it

Two friends are going to the mall to buy pizza. One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75. Her friend purchases 2 chese slices and 3 pepperoni slices for $15.00. Find the cost of each.

Answers

Answer:

The cost of each:

1 cheese slice = c = $3.75

1 pepperoni slice = p = $2.5

Step-by-step explanation:

Let the cost:

1 cheese slice = c

1 pepperoni slice = p

Two friends are going to the mall to buy pizza.

One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75.

c + 2p = $8.75.....Equation 1

c = $8.75 - 2p

Her friend purchases 2 chese slices and 3 pepperoni slices for $15.00.

2c + 3p = $15.00.....Equation 2

We substitute 8.75 - 2p for c in Equation 2

2(8.75 - 2p) + 3p = $15.00

17.5 - 4p + 3p = 15

Collect like terms

- 4p + 3p = 15 - 17.5

-p = -2.5

p = $2.5

c = $8.75 - 2p

c = $8.75 - 2(2.5)

c = $8.75 - 5.0

c = $3.75

The cost of each:

1 cheese slice = c = $3.75

1 pepperoni slice = p = $2.5

please help i give extra pts

Answers

Answer:

3:1 2:3 1:4 4:2

Step-by-step explanation:

I had the same one on my quiz

[tex]( {p}^{6} {q}^{ \frac{3}{2} } {)}^{ \frac{1}{3} } \\ = ( {p}^{6 \times \frac{1}{3} } ).( {q}^{ \frac{3}{2} \times \frac{1}{3} } ) \\ = ( {p}^{2} ).( {q}^{ \frac{1}{2} } ) \\ = {p}^{2} {q}^{ \frac{1}{2} } [/tex]

Solve for x: 5<-4x-11<13​

Answers

Answer:

[tex] - {4} < x < - 6 \\ [/tex]

Step-by-step explanation:

[tex]5 < - 4x - 11 < 13[/tex]

Add 11 to both sides of the inequality to make - 4x stand alone

[tex]5 + 11 < - 4x - 11 + 11 < 13 + 11 \\ 16 < - 4x < 24[/tex]

Divide both sides by - 4

[tex] - \frac{16}{4} < \frac{ - 4x}{ - 4} < - \frac{24}{4} \\ - {4} < x < - 6[/tex]

Reverse the signs

We have the final answer as

[tex] - 4 > x > - 6 \\ [/tex]

Hope this helps you

Answer:

-4>x>-6

Step-by-step explanation:

to understand thisyou need to know about:inequalityPEMDAStips and formulas:

the direction of inequality does not change when you

add or subtract a number from both sidesmultiply or divide both sides by a positive numbersimplify a side

the direction of inequality does change when you

multiply or divide both sides by negative numberswapping left and right hand sidelet's solve:

[tex] step - 1 : define[/tex]

[tex] \sf 5 < - 4x - 11 < 13[/tex]

[tex] step - 2 : solve[/tex]

[tex] \sf add \: 11 \: to \: every \: sides : \\ \sf 5 + 11 < - 4x - 11 + 11 < 13 + 11 \\ \sf16 < - 4x < 24[/tex][tex] \sf \: divide \: both \: sides \: by \: - 4 \: and \: swap \: the \: inequalities : \\ \sf \sf - 4 > x > - 6[/tex]

Pepay had 0.37 inches of yarn, Riza had 0.45 inch of yarn too. Their friend Lala asked to borrow 0.25 inch of yarn that they have. What is the length of the remaining yarn?

Answers

Answer:

0.57 inches was left

Step-by-step explanation:

Here, we start by calculating the total length of the yam they have

Mathematically, that will be 0.37 + 0.45 = 0.82 inch

Now, to get what is remaining, we subtract what was borrowed

Mathematically, that is 0.82-0.25 = 0.57 inches

HELPPPPPPPPPPPP!!! PLEASEEEEEE!! I NEED THIS RIGHT NOWWWW

Answers

Answer:

h = 15.13 cm

Step-by-step explanation:

Lateral Surface Area of a Cone

Given a right circular cone of base radius r and height h, the lateral surface area is given by:

[tex]A=\pi r\sqrt{r^2+h^2}[/tex]

We are given the lateral area of a funnel as A=236.64 square cm and the radius is r=4.75 cm. It's required to find the height of the cone. It can be calculated by solving for h.

Squaring:

[tex]A^2=\pi^2 r^2(r^2+h^2)[/tex]

Dividing by [tex]\pi r^2[/tex]

[tex]\displaystyle \frac{A^2}{\pi^2 r^2}=r^2+h^2[/tex]

Subtracting [tex]r^2[/tex]:

[tex]\displaystyle \frac{A^2}{\pi^2 r^2}-r^2=h^2[/tex]

Taking square root:

[tex]\displaystyle h=\sqrt{ \frac{A^2}{\pi^2 r^2}-r^2}[/tex]

Substituting the values:

[tex]\displaystyle h=\sqrt{ 251.472-22.5625}[/tex]

[tex]\displaystyle h=\sqrt{ 228.909}[/tex]

h = 15.13 cm

Pls help ASAP!!!!! It would help a lot! Pls explain ur reasoning

Answers

I think the answer is prolly goin to be A

what is the mean of 72, 84, 89, 82, 93, 100, 90, 88, 80, 82, and 85

Answers

Answer:85.9

Step-by-step explanation:

add everything together and divide by 11

Answer:

Step-by-step explanation:

72+84+89+82+93+100+90+88+80+82+85=945

There are 11 numbers.

Thus 945/11 is the mean

Bhavesh walked 3 1/8 miles on Saturday and Alana walked 4 3/4 miles how many more miles did Alana walk? A.5/8, B.1 1/2, Or C.1 5/8

Answers

Answer:

A-5/8

Step-by-step explanation:

Please it’s a quick yes or no

Answers

Yes they are similar

Any help please and thank you

Answers

Answer:

n=6

j=15

u=7.6

Step-by-step explanation:

Given TACBRD=MYPXEF

we find that the ratio is 1 : 2.5 and we solve from here

The perimeter of a square is equal to the perimeter of an equilateral triangle. The length of a side of the square is given by x, and the length of a side of the equilateral triangle is given by x + 1. Which equation can be used to find the value of x?
x = 3 (x + 1)
3 x = 4 (x + 1)
4 x = 3 (x + 1)
x = x + 1

Answers

perimeter of square =4x

4x=equilateral triangle perimeter

4x=3.1

x=3/4

Answer:

4x=3(x+1)

Step-by-step explanation:


Can you please help me

Answers

Answer:

F (I think)

Step-by-step explanation:

2/3 is 0.66 (forever), 65%, 5/8 is .625, and 0.6 (0.600)

Hopefully, this helps :D

Answer:

the answer should be f

Step-by-step explanation:

help guys yes if same amount then no if not same amount​

Answers

Answer:

1a. yes

2a. yes

3a. yes

4a. yes

5a. yes

6a. yes

7a. yes

sorry, i'm not sure about any of these.

1c. yes

What is the slope of the line that contains these points? (12,-4) (13,2) (14,8) (15,14)​

Answers

Answer:

6

any more help just ask :)

I REALLY NEED HELP PLS!!! Devon earned $42,500 last year and spent 12% of it on home repairs. How much did he spend on his home?

Answers

Answer:

$47,600 Spent on home repairs

Step-by-step explanation:

So we know that Devon is spending 12 percent of the home cost on repairs

We know the home cost is 42,500

So we just add 12 percent to the bundle

We know 42,500 is 100 percent of the price

And we want to add another 12 percent since the question is asking for the total amount spent on homes

So initially we just multiply 42,500 by 112% or 1.12

Now just multiply

You’ll get 47,600

A recipe calls for 14cup of brown sugar for every 23cup of white sugar. How many cups of brown sugar are required for every cup of white sugar? 1Points A 18cup of brown sugar B 38cup of brown sugar C 14cup of brown sugar D 34cup of brown sugar

Answers

Note: Consider all the numeric values are in the fraction form. Like [tex]14\to \dfrac{1}{4}[/tex], [tex]23\to \dfrac{2}{3}[/tex] etc.

Given:

A recipe calls for [tex]\dfrac{1}{4}[/tex] cup of brown sugar for every [tex]\dfrac{2}{3}[/tex] cup of white sugar.

To find:

The number of cups of brown sugar that are required for every cup of white sugar.

Solution:

We know that,

Required brown sugar for [tex]\dfrac{2}{3}[/tex] cup of white sugar =  [tex]\dfrac{1}{4}[/tex] cup

Using this, we get

Required brown sugar for 1 cup of white sugar =  [tex]\dfrac{\dfrac{1}{4}}{\dfrac{2}{3}}[/tex] cup

                                                                              [tex]=\dfrac{1}{4}\times \dfrac{3}{2}[/tex] cup

                                                                              [tex]=\dfrac{3}{8}[/tex] cup

So, [tex]\dfrac{3}{8}[/tex] cup of brown sugar is required for every cup of white sugar.

Therefore, the correct option is B.

Can anyone simplify

5y + 4x +5x

Answers

Answer:

5y+9x is the simplified version

the answer is 5y+9x :D

Which of the following is the MOST resistant to erosion?

Answers

Answer:

steel

plastic coating paints

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