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klio [65]
3 years ago
14

4. In slope-intercept form, what is the equation of a line perpendicular toy - 2x + 7 that passes

Mathematics
1 answer:
Phoenix [80]3 years ago
7 0

Answer:

y = (-1/2)x + 21/2

Step-by-step explanation:

Given equation:

y - 2x + 7

Coordinates = (5,8)

Find:

Perpendicular equation

Computation:

y = mx + c

y - 2x + 7

y = 2x - 7

So,

m = 2

The negative reciprocal of 2 is -1/2

So,

For,

Coordinates = (5,8)

y = mx + c

8 = (-1/2)(5) + c

8 = -5/2 + c

c = 8 + 5/2

c = 21 /2

So,

y = mx + c

y = (-1/2)x + 21/2

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Which ordered pair is a solution of the equation ?
Gekata [30.6K]

Answer:

C. Both of the above answers

Step-by-step explanation:

13 = -6(-2) + 1

13 = 12 + 1

13 = 13

7 = -6(-1) + 1

7 = 6 + 1

7 = 7

7 0
3 years ago
A swimming pool at a park measures 9.75 meters by 7.2 meters.
neonofarm [45]

Answer:

Part a) The area of the swimming pool is 70.2\ m^2

Part b) The total area of the swimming pool and the playground is 105.3\ m^2

Step-by-step explanation:

Part a) Find the area of the swimming pool

we know that

The area of the swimming pool is

A=LW

where

L is the length side

W is the width side

we have

L=9.75\ m\\W=7.2\ m

substitute the values

A=(9.75)(7.2)

A=70.2\ m^2

therefore

The area of the swimming pool is 70.2\ m^2

Part b) The area of the playground is one and a half times that of the swimming pool. Find the total area of the swimming pool and the playground

we know that

To obtain the area of the playground multiply the area of the swimming pool by one and a half

\frac{1}{2}(70.2)=35.1\ m^2

To obtain the total area of the swimming pool and the playground, adds the area of the swimming pool and the area of the playground

so

70.2\ m^2+35.1\ m^2=105.3\ m^2

therefore

The total area of the swimming pool and the playground is 105.3\ m^2

6 0
3 years ago
Which of these result from the sudden popularity of leather boots
levacccp [35]
A. An increase in demand
7 0
3 years ago
Determine the truth value of the given conditional statement
Dovator [93]

Answer: c

A false statement implies a true statement, so the conditional statement is true

Step-by-step explanation: just took the test

5 0
3 years ago
G(x) = x3 - 4 <br> h(x) = x2 + 2<br> Find h(-2) - g(-1)
Lady bird [3.3K]

Answer:

11

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = x³ - 4

h(x) = x² + 2

h(-2) is x = -2

g(-1) is x = -1

<u>Step 2: Find h(-2) - g(-1)</u>

  1. Substitute:                    ((-2)² + 2) - ((-1)³ - 4)
  2. Exponents:                   (4 + 2) - (-1 - 4)
  3. Add/Subtract:               6 - (-5)
  4. Subtract:                       11
3 0
3 years ago
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