Through (-6, 8); perpendicular to 9x + 5y = 66. Write the equation in y = mx + b form.

Answers

Answer 1
Answer:

simplified original equation: y=-9/5x+13.2

perpendicular slope: 5/9

equation passing through (-6,8): y-(8)=5/9(x-(-6))

y=mx+b form: y = 5/9x + 14


Related Questions

Find the midpoint of jn
The midpoint of PQ is M(, –1). One endpoint is Q(3, –5). Which equations can be solved to determine the coordinates of P? Check all that apply.
Use decomposition to find the area of the figure 3cm,5m,7cm, the area is _____.
To prepare for a triathlon, Mary swam 6.2 miles, jogged 10.5 miles, and biked 18.1 miles. In total, how many miles did she travel during exercise?
Today is sunday. Tom starts to read a book with 490 pages today. Sundays he reads 25 pages and on all other days he reads 4 pages, with no exception. How many days does it take him to read the entire book

Complete the ordered pair so that it is a solution of 2/3x + y - 1 = 0.

Answers

-3y  +3              i hope that helped
_______
       2

The volumes of two similar solids are 1,728 m^3 and 343 m^3. The surface area of the larger solid is 576 m^2. What is the surface area of the smaller solid? a. 196 m^2 b. 76m^2 c. 1,372m^2 d. 392 m^2

Answers

Answer:

Option a. 196 m²

Step-by-step explanation:

Volumes of two similar solids are 1728 m³ and 343 m³

So the ratio of these volumes = (343)/(1728)

Now we know volume is a three dimensional unit so we find the cube root of the ratio of the volumes to find the ratio of sides.

Scale factor = \sqrt[3]{(343)/(1728) }=(7)/(12)

Now we know area of solids is a two dimensional unit so we will square the scale factor and this will be the ratio of area

(Scale factor)² = ((7)/(12))^(2) = (Surface area of smaller solid)/(surface area of larger solid)

Area of larger solid = 576 m²

((7)/(12))^(2)=(S)/(576)

S=(49)/(144).(576)=(49).(4)=196

Surface area of of the smaller solid = 196 m²

Option A. is the answer.

Scale factor = (1728/343)^(1/3) = 12/7 Let the surface area of the smaller solid be A, then: A * (12/7)^2 = 576 So A = 196

A business breaks even when the production costs are equal to the revenue. The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item. Write an expression for the revenue generated by selling x items. How many items would you need to sell to break even? Write an equation and solve it.

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item.

The net income formula:

y= (5 - 4)x - 120

(5-4)= contribution margin per unit sold (x)

120= fixed costs

To calculate the break-even point in units, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 120 / 1

Break-even point in units= 120 units

Prove:

y= 1*120 - 120

y= 0

How to solve 42 = 8m + 13m

Answers

The solution to the equation 42 = 8m + 13m is m = 2.

Here, we have,

To solve the equation 42 = 8m + 13m, you can combine like terms and isolate the variable "m".

Here's how you can do it step by step:

Combine the like terms:

42 = (8 + 13)m

Simplify:

42 = 21m

Divide both sides of the equation by 21 to isolate "m":

42/21 = (21m)/21

Simplify further:

2 = m

Therefore, the solution to the equation 42 = 8m + 13m is m = 2.

To learn more on equation click:

brainly.com/question/14468218

#SPJ6

Step one: Add 8m + 13m 
   21m. 

21m = 42. 

Step two: Divide 42 by 21. 

m = 2. 

Find the area of a triangle with a base length of 3 units and a height of 4 units.

Answers

Formula for area of triangle: (1/2)bh, where b is base and h is height.

So (1/2) * 3 * 4 = 6
6 units
1/2 base by height
Your answer is 6

What needs to be done before you try to solve the equation 2x2 = -6+ 8a?

Answers

Answer: You need to separate the variable (A) from the rest of the equation.

Step-by-step explanation:

Simplify and move everything except the variable
2x2 = -6 + 8a >>> 4 = -6 + 8a >>> 10 = 8a
Then, divide both sides by the amount of A (8)
10 / 8 = 1.25
8 / 8 = 1
1.25 = A