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3 years ago

Find the slope of a line parallel to the line through the given points. P(-2, 4), Q(6, -2) 4/3 3/4 -3/4

Mathematics

2 answers:

ehidna [41]3 years ago

6 0

Attached the solution and work.

zavuch27 [327]3 years ago

4 0

Answer:

Option 3 - $m=-\frac{3}{4}$

Step-by-step explanation:

Given : P(-2, 4), Q(6, -2)

To find : The slope of a line parallel to the line through the given points?

Solution :

First we find the slope of the line passes through given points P(-2, 4), Q(6, -2)

The slope formula is

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-2-4}{6-(-2)}$

$m=\frac{-6}{8}$

$m=-\frac{3}{4}$

When two lines are parallel then there slope are equal.

Therefore, The slope of a line parallel to the line through the given points is

$m=-\frac{3}{4}$

So, Option 3 is correct.

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$20 iteam marked down 40%

Lana71 [14]

Answer:

$12

Step-by-step explanation:

Multiplier=0.6

20 times 0.6 = 12

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3 years ago

Part 1 state the domain and range of the given relation.

hram777 [196]

A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a relation in which NO two ordered pairs have the same first component and different second components.

The set of first components (x-coordinates) in the ordered pairs is the DOMAIN of the relation.

The set of second components (y-coordinates) is the RANGE of the relation.

Part 1:
Domain: {-1, 1, 3, 6}
Range: {2, 2, 2, 2}

Part 2:
To determine whether the given relation represents a function, look at the given relation and ask yourself, “Does every first element (or input) correspond with EXACTLY ONE second element (or output)?”

Remember that a function can only take on 1 output for each input.

It helps to plot the points on the graph and perform the Vertical Line Test (VLT):

The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

As you can see in the attached screenshot, every vertical line drawn only has 1 point in it. This means that each x-value corresponds to exactly one y-value. The given relation passed the VLT. Therefore, the relation is a function.

Please mark my answers as the Brainliest if you find my explanation helpful :)

5 0

3 years ago

What is the volume of the cone below? ):

svetoff [14.1K]

Answer:

A. 112π units³

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Volume of a Cone Formula: $\displaystyle V = \frac{1}{3} \pi r^2h$

r is radius
h is height

Step-by-step explanation:

Step 1: Define

Radius r = 4

Height h = 21

Step 2: Find Volume

Substitute in variables [Volume of a Cone Formula]: $\displaystyle V = \frac{1}{3} \pi (4)^2(21)$
Evaluate exponents: $\displaystyle V = \frac{1}{3} \pi (16)(21)$
Multiply: $\displaystyle V = \frac{16 \pi}{3}(21)$
Multiply: $\displaystyle V = 16 \pi \cdot 7$
Multiply: $\displaystyle V = 112 \pi$