Which point-slope equation represents a line that passes through (3,-2) with a slope of -4/5
O y-3 =-4/5(x+2)
Oy - 2 =4/5(x-3)
Oy+2=-4/5(x-3)
O y + 3 = 4/5(x+2)

Answers

Answer 1

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

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

where

m is the slope

( x1 , y1) is the point

From the question

the point is (3,-2) and slope - 4/5

The equation of the line is

[tex]y + 2 = - \frac{4}{5} (x - 3)[/tex]

Hope this helps you

Answer 2

The point-slope equation of the line is given by:

[tex]y + 2 = -\frac{4}{5}(x - 3)[/tex]

What is the point-slope equation of a line?

It is given by:

[tex]y - y_0 = m(x - x_0)[/tex].

In which:

m is the slope.[tex](x_0, y_0)[/tex] is the point.

The line that passes through (3,-2) with a slope of -4/5, hence the parameters are given by:

[tex]x_0 = 3, y_0 = -2, m = -\frac{4}{5}[/tex]

Thus, the equation of the line is:

[tex]y - y_0 = m(x - x_0)[/tex].

[tex]y - (-2) = -\frac{4}{5}(x - 3)[/tex].

[tex]y + 2 = -\frac{4}{5}(x - 3)[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124


Related Questions

Eliza's backpack weighs 18 and StartFraction 7 over 9 EndFraction pounds with her math book in it. Without her math book, her backpack weighs 14 and StartFraction 7 over 8 EndFraction pounds. How much does Eliza's math book weigh?

Answers

Her math book ways 3.9027 pounds or 3 65/72 pounds.

its B sorry if Im wrong have a nice day

A rectangular rug has
perimeter 240 inches. The length is 12 inches more than twice the width. Find the length and width
of the rug.

Answers

Answer:

length= 84

width= 36

if it is 9:38 what time would it be a half and hour later

Answers

Answer:

If it was 9:38 it would be 10:08

Step-by-step explanation:

Adding 30 to 38 would be 68. And since an hour is only 60 minuets long you would change the hour to 10 and add the 8 minuets.

Hope this helped! :))

Which expression could be used to represent a 45% increase? (Question 9)

Answers

Answer:

Options (A) and (B)

Step-by-step explanation:

Question (9)

Let a number = x

45% increase in the given number will be = x + (45% of x)

                                                                     = x + [tex]\frac{45x}{100}[/tex]

                                                                     = x + 0.45x

                                                                     = x(1 + 0.45)

                                                                     = 1.45x

Therefore, there will be the two expressions,

A). 1.45x

B). x + 0.45x

Options (A) and (B) will be the correct options.

find the length and breadth of a rectangular plot whose area is 660square metre and perimeter is 104metre​

Answers

Answer:

Step-by-step explanation:

let length=l

breadth=b

l×b=660

2(l+b)=104

l+b=104/2=52

b=52-l

l×(52-l)=660

52l-l²=660

l²-52l+660=0

l²-22l-30l+660=0

l(l-22)-30(l-22)=0

(l-22)(l-30)=0

l=22,30

when l=22,b=52-22=30

when l=30,b=52-30=22

l>b

so l=30m

b=22m

Answer:

W = 22 m

L = 30 m

Step-by-step explanation:

given:

area is 660square metre and perimeter is 104metre​

find:

the length and breadth of a rectangular plot

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

1. area of rectangle (A) = L x W

2. Perimeter of a rectangle (P) = 2L + 2W

where:

A = 660 m²

P = 104 m

solve for L using formula 1.

A = L x W

660 = L x W

L =  660 / W

solve W using formula 2 and use L = 660 / W

P = 2L + 2W

104 = 2 (660)  +  2W

               W

104W = 1320 + 2 W²

-2W² + 104W = 1320

solve W using quadratic equation:

W = 22 m; ( 30 m = L)

plugin W=22 into L =  660 / W to solve L:

L = 660 / 22

L = 30 m

What are the values of a and b on the number line?

Answers

Answer:

B is the answer

Step-by-step explanation:

20 lbs of bananas cost $100. How many lbs of bananas can you get with $85 ?

Answers

Answer:

$17

Step-by-step explanation:

Step 1:

20 : 100 = x : 85

Step 2:

100x = 1700

Answer:

x = 17

Hope This Helps :)

Answer:

$100= 20lbs

$1= (20/100)lbs

$85= 85*(20/100)lbs

= 85(1/5)lbs

= 17 lbs

vince has 1/2 ton of gravel to spread equally in 8 square yards for his driveway. How many tons of gravel will be spread in each square yard?

Answers

Answer:

It would be 125 spread in each square yard.

Step-by-step explanation:

The answer is 125 I hope this helps:)

Aaron wants to make as many gluten-free, low-carb cupcakes as he can for a bake sale. His recipe for 12 such cupcakes requires ⅜ of a cup of cocoa. Assuming Aaron has enough of the remaining ingredients, which of the following is closest to the number of cupcakes that he could make if he has 2 cups of cocoa? A)10 B)30 C)60 D)100

Answers

Answer:

I believe it is C

Step-by-step explanation:

First, I decided to use the proportion method. (Before I use this method, let's change [tex]\frac{3}{8}[/tex] into a decimal. So, that will be 0.375.

We know that we can cross multiply in a proportion

[tex]\frac{0.375 cups}{12 cupcakes} = \frac{2cups}{x}[/tex]

0.375x = 24

x = 64

round to tens

60

The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.

What is proportion?

A proportion is an equation in which two ratios are set equal to each other.

Now, it is given that,

12 such cupcakes requires ⅜ of a cup of cocoa

So ratio, cup of cocoa : cupcakes = ⅜ : 12

⇒  cup of cocoa / cupcakes = ⅜ / 12

Now, let x be  the number of cupcakes that he could make if he has 2 cups of cocoa

So ratio,cups of cocoa : number of cupcakes = 2 : x

Hence,By proportionality we get,

cup of cocoa : cupcakes = cup of cocoa : cupcakes

⅜ : 12 = 2 : x

⅜ / 12 = 2 / x

⇒ 0.375/12 = 2 / x

⇒ x = (2x12)/0.375

⇒ x = 24/0.375

⇒ x = 64

hence it is closest  to the number 60.

So,The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.

More about proportion :

https://brainly.com/question/27960888

#SPJ2

7(1 - 2n) < 33 - n

solve the inequality
show work

Answers

Answer:

n > -2

Step-by-step explanation:

7(1 - 2n) < 33 - n

7 - 14n < 33 - n

Subtract 7

-14n < 26 - n

Add n

-13n < 26

Divide by -13

n > -2

Answer:

n > -2

Step-by-step explanation:

Distribution property:

7 - 14n < 33 - n

Bring n over:

7 - 13n < 33

Bring 7 over:

-13n < 26

n > -2

Matt is four years younger than twice his cousin Andy’s age. The sum of their ages is greater than 35. What is the youngest age that Andy can be?

Answers

Answer: 13

Step-by-step explanation:

let m = Matt's age

let a = Andy's

:

Write an equation for each statement

:

Matt is four years younger than twice his cousin Andy’s age.

m = 2a - 4

The sum of their ages is greater than 35.

m + a > 35

What is the youngest age that Andy can be?

replace m with (2a-4) from the 1st statement

2a - 4 + a > 35

3a > 35 + 4

a > 39/3

a > 13

least integer has to be a = 14

:

:

Check, find m

m = 2(14) - 4

m = 24

24 + 14 = 38 greater than 35

If a = 13

m = 2(13) - 4

m = 22

22 + 13 = 35 which is not greater than 35

the ratio of men to women is 3:4 and the ratio of women to children is 5:2. write the ratio of men to women to children

Answers

Answer:

15:20:8

Step-by-step explanation:

You have to find a common factor between 4 and 5 because there are 3 men to 4 women and 5 women for 2 children, those numbers don't directly correlate. The easiest waay would be to multiply 4 and 5.

4 x 5 = 20

So we can correct the first ratio.

3 X 5 = 15

So the ratio of men to women is 15:20.

Now we find the ratio of women to children.

4 x 5 = 20

4 x 2 = 8

The ratio of women to children is 20:8.

Now that we have the same number in each ratio for women, we can combine them.

The ratio of men to women to children is:

15:20:8

Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph, if they drive along the same route how long will it take Mitchell to catch Peter?

Answers

Given :

Peter velocity , P = 30 mph .

Mitchell velocity , M = 40 mph .

Mitchell leaves 15 min later .

To Find :

If they drive along the same route how long will it take Mitchell to catch Peter.

Solution :

Distance covered by Peter in 15 min .

[tex]D = 30\times \dfrac{15}{60}=7.5\ miles[/tex]

Let , time taken is x .

So , distance covered b them is equal :

[tex]7.5+30\times x=40\times x\\\\x=\dfrac{7.5}{10}=0.75\ hours\\\\x=0.75\times 60\ min\\\\x=45\ min[/tex]

Therefore , time taken by them is 45 minutes .

Hence , this is the required solution .

Solve -5< 4x +3 < 7.
The second “<“ has a line under it. Please help! This is on APEX.

Answers

Answer:

C -2 < x ≤ 1

Step-by-step explanation:

-5< 4x +3 ≤ 7

Subtract 3 from all sides

-5-3< 4x +3-3 ≤ 7-3

-8< 4x  ≤ 4

Divide all sides by 4

-8/4< 4x/4  ≤ 4/4

-2 < x ≤ 1

0.5s +1=7 + 4.5s
S =

Answers

Answer:

[tex]s = -\frac{3}{2}[/tex]

Step-by-step explanation:

Solve for the value of [tex]s[/tex] :

[tex]0.5s + 1 = 7 + 4.5s[/tex]

-Combine both [tex]0.5s[/tex] and [tex]4.5s[/tex] by subtracting [tex]0.5s[/tex] by [tex]4.5s[/tex] :

[tex]0.5s + 1 - 4.5s = 7 + 4.5s - 4.5s[/tex]

[tex]-4s + 1 = 7[/tex]

-Subtract [tex]1[/tex] to both sides:

[tex]-4s + 1 - 1 = 7 - 1[/tex]

[tex]-4s = 6[/tex]

-Divide both sides by [tex]-4[/tex] :

[tex]\frac{-4s}{-4} = \frac{6}{-4}[/tex]

[tex]s = -\frac{3}{2}[/tex]

So, the value of [tex]s[/tex] is [tex]-\frac{3}{2}[/tex].

which diagram (s)show adjacent angles ​

Answers

Hshaygv 81818191 hahahahah 8

Three to the 4th power

Answers

Answer: 81

Explanation: Multiple three fourl

if the measure of an angle is 44 degrees , then the angle is acute which is true the converse the inverse the contrapositive none of these

HELP PLEASE!!!!!!!!!!!

Answers

Answer: the converse

Why: “if Q then P”, if 44 then acute

If LN=54 and LM= 31, find MN

Answers

I hope this helps. If you have any more questions message me and Id be happy to explain

Answer:

If the overall diagram is 54 and one section of that whole diagram is 31 all we have to do is subtract the overall to the one section to find the other section.

Step-by-step explanation:

So...

54-31=23

8^10 ÷ 8^5 = 8^2 true false

Answers

Answer: I think the answer is false

Answer:

the correct answer is true

Step-by-step explanation:

1. 3x + y = 4
I need help I need to solve for y

Answers

Answer:

[tex]y=4-3x[/tex]

Step-by-step explanation:

[tex]3x+y=4[/tex]

Subtract 3x from both sides:

[tex]3x+y-3x=4-3x[/tex]

[tex]y=4-3x[/tex]

Answer:

its answer is

y=4-3x ok

What is the standard form polynomial representing the volume of this shipping container?
6x + 15
4x² + 3x
x² – 8

Answers

Answer:

Step-by-step explanation:

Volume of the shipping container = Lengt * Breadth * Height

Given

Length = 4x² + 3x

Breadth = x² – 8

Height = 6x +15

Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)

( 4x² + 3x)( x² - 8)  = 4x⁴-32x²+3x³-24x

( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x

(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x

Collect like terms

( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x

Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x

Answer:

V = 24x^5+78x^4-147x^3-624x^2-360x

Lisa is decorating the outside edge of a square picture frame. She needs to know the side length of the frame. The area of the frame is mm square inches. Which shows the side length, in inches, of the picture frame?

Answers

Answer:

Step-by-step explanation:

If you have the area just divide it by 4 and that will give you the answer .

A square has all equal sides

solve for the equation 4x+5=9

Answers

Answer:

1

Step-by-step explanation:

4x + 5 = 9
subtract 5 from both sides
4x = 4
divide both sides by 4
x = 1

When 19346 is divided by a number,the quotient is 841 and the remainder is 3.What is the number?​

Answers

Answer:

23

Step-by-step explanation:

19346 ÷ 841 = 23.003567.. ( that is 23 with a remainder ), then

23 × 841 = 19343, thus

19346 ÷ 841 = 23 remainder 3

The divisor is 23

bruh what is (-4×-6)-4²​

Answers

Answer:

8

Step-by-step explanation:

the anwser is you use the formal

-24-8p=4p
help please

Answers

Answer:

-2 = p

Step-by-step explanation:

-24-8p=4p

Add 8p to each side

-24-8p+8p=4p+8p

-24 = 12p

Divide each side by 12

-24/12 = 12p/12

-2 = p

Of the 50 states in the United States, 14 have an Atlantic Ocean coastline and 5 have a Pacific Ocean coastline. What fraction of U.S. states have neither an Atlantic Ocean nor Pacific Ocean coastline?

Answers

Answer:

[tex]\frac{31}{50}[/tex]

Step-by-step explanation:

First, find how many have an Atlantic or Pacific coastline:

14 + 5

= 19

Then, subtract this from 50:

50 - 19

= 31

This means 31 out of the 50 states have neither coastlines:

This is [tex]\frac{31}{50}[/tex] as a fraction

A cupcake shop earns $950 a day. The total amount of earning varies directly with the number of
days. Find the total earnings the cupcake shop earns in 5 days.

Answers

the answer is $4750.

The cupcake shop earns $4,750 in 5 days. 950 x 5 = 4,750

Which could be used to evaluate the expression Negative 6 (4 and two-thirds)? (Negative 6) (4) + (negative 6) (two-thirds) (Negative 6) (4) times (negative 6) (two-thirds) (Negative 6 + 4) + (Negative 6 + two-thirds) (Negative 6 + 4) times (negative 6 + two-thirds)

Answers

Answer:

(Negative 6) (4) + (negative 6) (two-thirds

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