Line $1$ represents the graph of $3x + 4y = -14$. Line $2$ passes through the point $(-5,7)$, and is perpendicular to line $1$. If line $2$ represents the graph of $y=mx +b$, then find $m+b$.

Answers

Answer 1

Answer:

15

Step-by-step explanation:

First, solve for Line 1

3x + 4y = -14

move the x to the right of the equation

4y = -3x - 14

divide the whole equation by 4

y = -3/4x - 14/4

Line 1 is y = -3/4x - 7/2

Then, solve for Line 2

Since Line 2 is perpendicular, change the sign of the slope of Line 1 and then get the reciprocal of that.

-3/4 to 3/4 to 4/3

4/3 is the slope of Line 2.

Now, we want to find what the b of the equation is, so we can plug in our x (-5) and our y (7) into the y=mx+b equation to find b. The 4/3 is the m or the slope.

y = mx + b

plug in the y, m, and x into the equation

7 = (4/3)(-5) + b

multiply the m and x together

7 = -20/3 + b

add 20/3 to both sides so it will cancel out on the right of the equation and be added to the 7 on the left of the equation

41/3 = b

So, m = 4/3 and b = 41/3

Add them together and you get 45/3 or 15.

I hope this helped!


Related Questions

Not really anything related but Where should i go to eat?

Answers

You should go to chick-fil-a!!!

What is the measure of angle ONM ?

Answers

If I’m remembering right it’s been a while but it should be 56 because it would be 124-180 leaving 56

Answer:

I would say A. 56

Step-by-step explanation:

The suspect was spotted riding the swings earlier in the day. Each swing can hold a maximum weight of 500 pounds. In order to reach the maximum weight, you would have to double the weight of the suspect and add 20 pounds less than the weight of George. Write and solve an equation to represent the suspect's weight.

Answers

Answer:

2y + ( x- 20)= 500

y= 520-x/2

Step-by-step explanation:

Let the weight of George be x and the weight of the suspect be y .

The swing can hold a maximum of 500 pounds .

Twice the weight of suspect added with 20 pounds less than the weight of George equals 500.

2y + ( x- 20)= 500

or

2y+x- 20 = 500

adding 20 to both sides

2y+x -20 +20= 500+ 20

or

2y +x = 520

Subtracting x from both sides

2y+ x-x = 520-x

or

2y = 520-x

Dividing by 2 on both sides

y= 520-x/2

The suspect's weight is y= 520-x/2

Answer:

s = 260 - g/2

Step-by-step explanation:

Given the following :

Maximum weight swing can hold = 500 pounds

Let suspect's weight = s

George's weight = g

To reach maximum weight :

Double weight of suspect + (George's weight - 20)

Hence, equation:

2s + (g - 20) = 500

2s + g - 20 = 500

2s + g = 500 + 20

2s + g = 520

2s = 520 - g

Divide through by 2

s = 260 - g/2

An angle measures 143.4° less than the measure of a supplementary angle. What is the measure of each angle?

Answers

Given :-

Measure of an angle = x

Measure of another angle = x - 143.4

Each angle is the supplement of the other angle .

Which means :-

[tex]x + x - 143.4= 180[/tex]

[tex]2x - 143.4 = 180[/tex]

[tex]2x = 180 + 143.4[/tex]

[tex]2x = 323.4[/tex]

[tex]x = \frac{323.4}{2} [/tex]

[tex]\color{hotpink}x = 161.7[/tex]

Then :-

Measure of the first angle :-

[tex]\color{hotpink} = 161.7°[/tex]

Measure of the second angle :-

[tex] = x - 143.4[/tex]

[tex] = 16.7 - 143.4[/tex]

[tex]\color{hotpink} = 18.3°[/tex]

As the sum of the measure of each angle adds up to 180° (161.7+18.3=180) , we can conclude that we have found out the correct value of each of the angles .

Therefore , the measure of the first angle is = 161.7° and the measure of it's supplementary angle is = 18.3° .

You have a box that measures 11
inches on each side. What is the
volume of that box

Answers

Answer:

1,331in^3

Step-by-step explanation:

10 Convert 485 mL into litres.
© 0.485 L
D 485 000 L
B 4.85 L
A 48.5 L​

Answers

Answer:

c

Step-by-step explanation:

I don't understand this at all.

Answers

Answer:

i think the answer is A

Step-by-step explanation:

Please HELP with these questions!! Legit answers only!

Answers

Answer:

answers below

Step-by-step explanation:

hi! you can plug in the x values given into the equation and solve for y to get your table values.

y=-1(0)+2

y=2

y=-1(1)+2

y=1

y=-1(3)+2

y=-1

y=-3/2 (-2) -1

y=2

y=-3/2 (0) -1

y=-1

y=-3/2 (2) -1

y=-4

hope this helps!

Solve the equation for z.
-8z + 1 = z-8

Answers

Answer:

z= 1

Step-by-step explanation:

move the like terms, collect then calculate, divide on both sides :)

Answer:

z equals -1

Step-by-step explanation:

-8z + 1 = z-8

-9z + 1 = -8

-9z + 9

-9z ÷ 9

z = -1

Which number line shows the solution to 6 + (−6)? (1 point)
1.A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 12 is shown.
2.A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 0 is shown.
3.A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to positive 6 is shown.
4.A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 12 is shown.

Answers

The answer is number 2 because it should be going from positive six to 0 since 6+(-6) cancels each other out.

Answer:

a negative number plus a positive number when both numbers are the same like for example: -4 + 4. it would be 0. so -6 + 6 = 0

Step-by-step explanation:

                                           6

                                   0 ------------>

                                           -6

                                   0 <------------

what is the value of (-3)^3

Answers

Answer:

-27

Step-by-step explanation:

(-3)^3

This is the value inside the parentheses multiplied by itself 3 times

-3 * -3*-3

-27

Whats the Square root of 13?

Answers

The square root of 13 is an irrational number so you would just write it as the square root of 13.

Answer:

3.25

Step-by-step explanation:

Go 3.25 units of distance in any direction. Turn 90 degrees clockwise and go 3.25 units of distance in a straight line. Turn 90 degrees clockwise and go 3.25 units of distance in a straight line. Turn 90 degrees clockwise and go 3.25 units of distance in a straight line.

You will have travelled along a square route whose total distance is 13 units. Alternatively you could have turned counter clockwise each time.

Esteban has a big jar f change in his room, he has 600 coins total, and 240 of them are pennies.
What percent of the coins are pennies?

Answers

Answer:

40%

Step-by-step explanation:

240/600 = 0.40 * 100% = 40%

Simplify (5³)⁶, need an answer by today or tomorrow

Answers

Answer:

3,814,697,265,625

Step-by-step explanation:

Simplify the expression.

The graph of a line is shown below.

Based on the graph, what are the rate of change and the y-intercept of the line?

Answers

Answer: Change is 1 and the y-intercept is 1/2

Let me know if I’m wrong

Step-by-step explanation:

PLZ HELP WILL MARK BRAINLEST 2 or more have to answer and its timed 1 hour

Answers

Answer:

z=77

Step-by-step explanation:

z/7−9=2

Step 1: Simplify both sides of the equation.

z−9+9=2+9

1/7z=11

z=77

(✿◠‿◠)

Carrie Ann has a penny bank with 812 pennies in it. She gave her little sister 10 pennies to start her own penny bank savings. She gave 68 pennies to her brother in exchange for taking her turn at doing the dishes. How many pennies does Carrie Ann have in her penny bank? Explain how you got your answer.

Answers

Answer:

Just do 812-78 that equals 734.

Answer:

734 pennies

Step-by-step explanation:

10 +68 =78 pennies that she gave to her sister and her brother

812 - 78 =734 pennies has

In Mr. Britt's class the distribution of ages of his students has a mean of 115 months and a standard
deviation of 3.6 months.

If no students leave or join the class, what will be the mean and standard deviation of the distribution of
student's ages 4 months later?

Answers

Using statistical concepts, it is found that the mean will be of 119 months, while the standard deviation will be of 3.6 months, given by option C.

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

The mean of a data-set is the sum of all values divided by the number of values.The standard deviation is the square root of the sum of the difference squared of each observation and the mean, divided by the number of values.If x is added to all values of a data-set, it is also added to the mean, while the standard deviation remains constant.

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

Mean of 115 months and standard deviation of 3.6 months.4 months later is the same as adding 4 to each observation.Thus, the mean will be of 115 + 4 = 119 months, while the standard deviation remains constant at 3.6 months.

A similar problem is given at https://brainly.com/question/20640860

Answer:

Mean: 119119119 months

Standard deviation: 3.63.63, point, 6 months

Step-by-step explanation:

Solve by elimination.
3x + 4y = -6
5x - 4y = 22

Answers

Answer:

Step-by-step explanation:

Just

Emliminate it by 3x’s

Answer:

HOPE THIS HELPED YOU

PLEASE MARK AS THE BRAINLIEST (ㆁωㆁ)

Questions
1 point
Previous
Calculate the mean of Bryanna's test scores if she has scored 75, 97, and 92 so far this
semester
A 284
o
B
88
c. 75
D

Answers

Answer:  88

Work Shown:

Add up the values

75+97+92 = 264

Then divide by 3 since there are 3 scores

264/3 = 88

You can write this all as one step

(75+97+92)/3 = 88

So in short, you add the scores and then divide by the number of scores.

On Monday morning Sergio Pappas had $14.78 in cash.
During the week he earned $45.00 for cutting lawns
and $35.75 for yard work, and he spent $25.23 on food
and $22.12 on gas.
# Problem Solution
a. What were Sergio's total earnings for the week?
b. What total amount did he have to spend during the week?
c. What was his balance at the end of the week?

( please do not comment if you do not know the answer, would be appreciated )

Answers

Answer:

Step-by-step explanation:

a-As he had earned $45.00 for cutting lawns and had earned $35.75 for yard work during the week and had not earned more than that, in order to find the total amount of money he earned during the week, we have to add $45.00 and $35.75 together which will be $80.75. So we can say that he had earned $80.75 during the week.

b- Since he had spent $25.23 on food and $22.12 on gas, we have to add them to get the total amount of money spend during the week. So after adding the amount of moneys spent, we will get $47.35.

c- Finally, to find out how many money he was left with, we have to subtract the amount of moneys spent from the total amount of earnings for the week. So, after subtracting $47.35 from $80.75 he is left with $33.4.

A system of equations can be written to represent coln and pricing problems. True or False.
O True
O False

Answers

I think it’s True. Look it up.

Please help! Will give BRAINLIESTwith to the first correct answer!
∠ABC and ∠DBC are complementary angles. If ∠ABC = 6x + 13 and ∠DBC = 4x − 3 what is the value of x?

Answers

Answer:

x=8

Step-by-step explanation:

solve the equation. check your solution 6(5-2v)=-4(3v+1)​

Answers

30-12v=-12v-4
34-12v=-12v
34=0
no solution

Perform the indicated operation.

12 ÷ (-6)

6
-18
-2
-72

Answers

Answer:

the answer is -2 because positive divided by a negative is equals to a negative so positive 12 divided by -6 it will be equal to -2

-2 because you are dividing by a negative which makes the answer the same.

12/6 is 2 and since it’s negative it’s -2

Write two integers with different signs that have a sum of -25.
Write two integers with the same sign that have a sum of -25.

Answers

Answer:

1.

-25+0

-30+5

2.

-15-10

-20-5

What is the discriminant of the quadratic equation 6x2
9x – 8 = 0?
-111
273
111
-273

Answers

Answer:

-111

Step-by-step explanation:

V I’m please help I already posted this but I did this answer

Answers

Answer: m+1

Step-by-step explanation:

What are parallel lines cut by a transversal?

Answers

In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. In the figure below, line n is a transversal cutting lines l and m . When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles .

Ebony bought 4 cans of Soup A for $6.00.

For each soup, indicate whether the soup has the same price per can as Soup A.

Soup B: 2 cans for $5.00
Soup C: 3 cans for $4.50
Soup D: 5 cans for $5.00
Soup E: 6 cans for $9.00

Answers

soup b; no
soup c; yes
soup d; no
soup e; yes
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