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

find the slope y=-4x+3​

Answers

Answer:

-4

Step-by-step explanation:

m=slope in y=mx+b

Answer:

-4

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

-4=m(slope)

3=b(y-intercept)

Hope the graph wasn't to confusing :)

I hope this helps! :)

Fredrick manages a band and sings lead vocals. The band charges $700 per concert. Fredrick receives $175 of that money, and he shares the rest equally among the other 5 members of the band. How much money does each of the 5 band members receive per concert?
A. $105
B. $112
C. $175
D. $525

Answers

Answer: the answer would be A 105

Step-by-step explanation:

Factor: 3(5x+2)(5x-2)

Answers

Hope that helps .....

Evaluate the function, f(m) = 13 - 3m, when m is 4
f(4) = ​

Answers

Answer:

f(4)= 13-3(4)

4f= 13-12

4f=1

Answer:

1

Step-by-step explanation:

f(4)=13-3m (where m=4)

f(4)= 13-3×4

f(4)= 14-12

hence f(4)= 1

Which of the following could be the lengths of the sides of a right triangle.
6, 8, 10
5, 5, 10
3, 4, 6
8, 15, 16

Answers

Answer:

3,4,6     6,8,10      8,15,16

Step-by-step explanation:

just a lil some some so please help me

Answers

Answer:

The answer to this is agree . Hope it helps.

The graph shows the cost of gasoline at a gas station. Find the cost in dollars per gallon.

Answers

Answer: 7 dollars per gallon

Step-by-step explanation:.

x ÷ 4 + 5= 8 I need someone to do it and double check for me please.​

Answers

= x/4 + 5 = 8

= x/4 = 8 - 5 ( transposing +5 from LHS to RHS changes +5 to -5 )

= x/4 = 3

= x = 3 × 4 ( transposing ÷4 from LHS to RHS changes ÷4 to ×4 l

= x = 12

Let us see whether the value of x is correct or not by placing 12 in the place of x .

= 12 ÷ 4 + 5 = 8

= 3 + 5 = 8

= 8 = 8

= LHS = RHS

Which means the value of x we found out is correct .

Therefore , x = 12 .

Step-by-step explanation:

[tex] \frac{x}{4} + 5 = 8 \\ x + 5 = 32 \ \\ x = 32 - 5 \\ x27[/tex]

Solve the following literal equation for y: k = 5y + m

Answers

Answer:

y = (k-m)/5

Step-by-step explanation:

We want to solve the equation for y

k = 5y + m

we want to make y the subject of the formula

k -m = 5y

y = k-m)/5

A tennis club has 27 members. 19 have black hair, 14 have brown eyes, and
11 have both black hair and brown eyes. Find the number of members with
black hair or brown eyes.
O 3
O 5
8
O 11

Answers

Answer: 11

Because if you minus 11 from both brown eyes and black hair your left with 8 from black hair and 3 from brown eyes

129 times 6+1 pronto fast

Answers

Answer:

903

Step-by-step explanation:

Answer:

129 x 6=774

774+1=775

Step-by-step explanation:

Hope this helps


. Find the coefficient of x3 in the expansion of (3+2x+x2)6

Answers

Answer: 9180

Step-by-step explanation:

(3 + 2x + x^2)^6 = x^12 + 12x^11 + 78x^10 + 340x^9 + 1095x^8 + 2712x^7 + 5284x^6 + 8136x^5 + 9855x^4 + 9180x^3 + 6318x^2 + 2916x + 729

This can be found using Pascal's Triangle.

The coefficient of x^3 is 9180.

8 in
6 in.
5 in.
Pls help

Answers

Answer:

this is volume, right?

Step-by-step explanation:

i have no idea though hahahahahah

frjghherhnetjhnjkg fgfhgheriugheriughierg

renjgregnjergjerbgg rehgbjregbjergjerbgj

A line passes through (-2, 5) and has a slope of what is the equation of the line in point-slope form?
y+ 2 = } (x - 5)
A.
B.
y-5= (x + 2)
O C. y= {x +
3
o
D.
y+5 = (– 2)

Answers

y-5=m(x+2) is the answer in point slope form

Answer:

it actually y=1/3x+17/3

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 1/3. So you can right away fill in the equation for a line somewhat to read:

y=1/3x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-2,5). When x of the line is -2, y of the line must be 5.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-2,5).

So, why not plug in for x the number -2 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-2,5). y=mx+b or 5=1/3 × -2+b, or solving for b: b=5-(1/3)(-2). b=17/3.

The equation of the line that passes through the point (-2,5) with a slope of 1/3

is

y=1/3x+17/3

There's your explanation

Help will name brainiest.

Answers

Answer:

the first is 26 and the second is 84.5 or 84 or 85 depending or if you need to round it and whether you round up or down

Answer:

26 cups of flour for the first pizza, 2 pizza's made with 13 cups of flour

Step-by-step explanation:

One Pizza uses 6.5 cups of flour (divide 39/6)

For the second fill in the blank, multiply 6.5*4 to get 26

For the last one, divide 13 by 6.5 to get 2

Hope this helps!

Last week, you finished Level 2 of a video game in 32 minutes. Today, you finish Level 2 in 28 minutes?

Answers

Is this a question or it’s not?

Solve

3x + 8 = 2x + 21

Answers

Answer:

Step-by-step explanation:Simplifying

3x + 8 = 2x + -21

Reorder the terms:

8 + 3x = 2x + -21

Reorder the terms:

8 + 3x = -21 + 2x

Solving

8 + 3x = -21 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

8 + 3x + -2x = -21 + 2x + -2x

Combine like terms: 3x + -2x = 1x

8 + 1x = -21 + 2x + -2x

Combine like terms: 2x + -2x = 0

8 + 1x = -21 + 0

8 + 1x = -21

Add '-8' to each side of the equation.

8 + -8 + 1x = -21 + -8

Combine like terms: 8 + -8 = 0

0 + 1x = -21 + -8

1x = -21 + -8

Combine like terms: -21 + -8 = -29

1x = -29

Divide each side by '1'.

x = -29

Simplifying

x = -29

3x + 8 = 2x + 21

3x - 2x + 8 = 21

x + 8 = 21

x = 21 - 8

x = 13

Solve for a
3a +1=4. With a 7 under it

Answers

Answer:

a=9

Step-by-step explanation: 

(3a+1)/7=4

This deals with linear equations with one unknown.

Overview

Steps

Terms and topics

1 result(s) found

a=9

See steps

Step by Step Solution:

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (3*a+1)/7-(4)=0  

Step by step solution :

STEP

1

:

           3a + 1

Simplify   ——————

             7    

Equation at the end of step

1

:

 (3a + 1)    

 ———————— -  4  = 0  

    7        

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  7  as the denominator :

        4     4 • 7

   4 =  —  =  —————

        1       7  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(3a+1) - (4 • 7)     3a - 27

————————————————  =  ———————

       7                7    

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  3a - 27  =   3 • (a - 9)  

Equation at the end of step

3

:

 3 • (a - 9)

 ———————————  = 0  

      7      

STEP

4

:

When a fraction equals zero

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(a-9)

 ——————— • 7 = 0 • 7

    7    

Now, on the left hand side, the  7  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (a-9)  = 0

Equations which are never true:

4.2      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.3      Solve  :    a-9 = 0  

Add  9  to both sides of the equation :  

                     a = 9

One solution was found :

a = 9

Hope this helps! Please mark Brainliest!

subtract the 1 multiply by 7 on each side and divide by 3 a=7

.
3. Ada 7 to 3 times of a number will
give you 66 if that number is a
9​

Answers

Answer:

Step-by-step explanation:

Let the no. be x

3 times the no. will be 3x

adding 7 to 3 times the no. will be 3x + 7

the result is 66 so it will be 3x + 7 = 66

Hope this helps

plz mark as brainliest!!!!!

- (-6x + 6) + 3 = 3 + 4x
I need help

Answers

Answer:

x=3

Step-by-step explanation:

-1(-6x + 6) + 3 = 3 + 4x

6x - 6 + 3 = 3 + 4x

6x - 3 = 3 + 4x

2x - 3 = 3

2x=6

x=3

Answer:

x=3

Step-by-step explanation:

-(-6x+6)+3=3+4x

6x-6+3=3+4x

6x-3=3+4x

6x-4x=3+3

2x=6

x=6/2

x=3

final answer

thank you bro

(0,0) is a solution to y> -3x + 4

Answers

Answer:

(0,0) is a solution.

Step-by-step explanation:

To see if this is true you can put (0,0) into the [tex]y[/tex] and [tex]x[/tex] variables like so: [tex]0>-3(0)+4[/tex]. When you solve this you get [tex]0>4[/tex] so this statement is true


A. y = 1x+2!
or
B. y = 1x - 21

Answers

Answer:

B.y=|x-2|

Step-by-step explanation:

y is equal to the modulus of x-2 two because in the graph the the line cut at -2

Someone help me please

Answers

Answer:

good luck

Step-by-step explanation:

Which One Is it ? .....

Answers

The 2nd one is the correct answer

Solve this system:

2x+5y+z=3
x-3y+2z=2
-x+2y-3z=-7

Answers

Answer:

x= -3

y= 1

z= 4

Step-by-step explanation:

Please see the attached pictures for the full solution.

*I evaluated the determinants using Sarrus' rule (see last picture):

∆= aei +bfg +cdh -gec -hfa -idb

*The symbol '∆' (delta) is usually used to denote a determinant.

I need help with this question!!

Answers

Answer:

3 and 5

Step-by-step explanation:

yes

Evaluate 3x^2+1 when x=-1

Answers

Answer:

10

Step-by-step explanation:

3(-1)=-3

-3^2=9

9+1=10

Please help me with this! Legitimate answers only please!
Fill in the blanks with the proper/right options for the problem.

Answers

Answer:

x= amount of subscriptions

y= total amount

m= $5 rate of change

b= $15 a starting point....

Eq: y=5x+15

Helps me solve this problem please please

Answers

IT LOOKS LIKE transtive:)))))

Answer:

D

Step-by-step explanation:

how do I write the expression (4f-3+2g)-(-4g+2) in standard form​

Answers

Answer:

4f-5+6g

Step-by-step explanation:

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