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2 years ago

What is the slope of a line passing through (3, 4) and (5, 8)? 4/2 2/4 1/2 or 2

Mathematics

1 answer:

ollegr [7]2 years ago

3 0

Answer:

Step-by-step explanation:

(3,4)=x1,y1 (5,8)=x2,y2. The slope is calculated using formula: Slope =y2−y1x2−x1. =8−45−3. =42. =2.

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The volume of a cube with sides of length s is given by v = s^3. find the rate of change of the volume with respect to s when s

katrin2010 [14]

The rate of change of the volume with respect to s when s = 15 centimeters is 3375 centimeters

<h3>What is the volume?</h3>

The formula for volume of a cube is given as;

Volume = a³

Where:

a = length of its side

From the information given, we have;

V = s³

Where s = 15 centimeters

Substitute the value into the formula

v = (15)³

v = 3375 centimeters

Thus, the rate of change of the volume with respect to s when s = 15 centimeters is 3375 centimeters

Learn more about a cube here:

brainly.com/question/1972490

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5 0

11 months ago

Solve the linear programming problem.

larisa [96]

Answer:

1. Objective function is a maximum at (16,0), Z = 4x+4y = 4(16) + 4(0) = 64

2. Objective function is at a maximum at (5,3), Z=3x+2y=3(5)+2(3)=21

Step-by-step explanation:

1. Maximize: P = 4x +4y

Subject to: 2x + y ≤ 20

x + 2y ≤ 16

x, y ≥ 0

Plot the constraints and the objective function Z, or P=4x+4y)

Push the objective function to the limit permitted by the feasible region to find the maximum.

Answer: Objective function is a maximum at (16,0),

Z = 4x+4y = 4(16) + 4(0) = 64

2. Maximize P = 3x + 2y

Subject to x + y ≤ 8

2x + y ≤ 13

x ≥ 0, y ≥ 0

Plot the constraints and the objective function Z, or P=3x+2y.

Push the objective function to the limit in the increase + direction permitted by the feasible region to find the maximum intersection.

Answer: Objective function is at a maximum at (5,3),

Z = 3x+2y = 3(5)+2(3) = 21

7 0

2 years ago

Isaiah measured a house and made a scale drawing. In real life, the hall closet is 5 feet long. It is 10 inches long in the draw

Kazeer [188]

Answer: The answer is a scale factor of 6

Step-by-step explanation:

5 feet is 60 inches, and on the drawing the closet is 10 inches while the real closet is 5 feet, so just divide 60 by whatever gets you 10.

4 0

5 months ago

10y+15=7y+45 what does y equal

Gnom [1K]

Answer:

Step-by-step explanation:

10y+15=7y+45

10y-7y=45-15

3y=30

y=10

hope it helps you!

6 0

2 years ago

Find the slope given: (3, -10) & (4, -21) m =

AleksAgata [21]

Answer:

$\displaystyle m=-11$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (3, -10)

Point (4, -21)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{-21+10}{4-3}$
[Fraction] Add/Subtract: $\displaystyle m=\frac{-11}{1}$
[Fraction] Divide: $\displaystyle m=-11$

3 0

2 years ago