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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:

Galina-37 [17]3 years ago

8 0

Answer:

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

Step-by-step explanation:

Parallel lines have equal slopes thus the slope of a parallel line will be equal to the slope of PQ

To calculate slope m use the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = P(- 2, 4) and (x₂, y₂ ) = Q(6, - 2)

m = $\frac{-2-4}{6+2}$ = $\frac{-6}{8}$ = - $\frac{3}{4}$

egoroff_w [7]3 years ago

3 0

Answer:

-3/4

Step-by-step explanation:

You have to find the slope of the 2 points. You use the formula m=Y2-Y1/X2-X1. You should get -3/4.

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a gardenner is designing a new garden in the shape of a trapezoing she wants the short base to be twice the height and loger bas

taurus [48]

Answer:

Height = 5 ft

Short base = 10 ft

Long base = 14 ft

Step-by-step explanation:

Let h = height, a = short base, b = long base.

From the question,

a = 2h

b = a + 4 = 2h + 4

The area of the trapezoid is given by $\frac{1}{2}(a+b)h$ . Thus,

$60 = \frac{1}{2}(2h + 2h + 4)h$

$60 = \frac{(4h + 4)h }{2}$

$60 = \frac{4h(h + 1)}{2}$

$60 = 2h(h + 1)$

$30 = h(h + 1)$

$0 = h^2 + h - 30$

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$h= 5$ or $h = -6$

We discard the negative value of h since it is a measurement and cannot be negative.

$h= 5$

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6 0

3 years ago

Helpp me answer this question and explain

Ganezh [65]

The answer is A, you can tell because if you multiply 4 by the numbers inside the parentheses you’ll get =12+24..hope that helped :)

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3 years ago

HELP PLSS Solve the equation 17−(3x+5)=3x−6

riadik2000 [5.3K]

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

17 - (3x + 5) = 3x - 6

Step 2: Solve for x

Distribute negative: 17 - 3x - 5 = 3x - 6
Add 3x on both sides: 17 - 5 = 6x - 6
Combine like terms: 12 = 6x - 6
Isolate x term: 18 = 6x
Isolate x: 3 = x
Rewrite: x = 3

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 17 - (3(3) + 5) = 3(3) - 6
Multiply: 17 - (9 + 5) = 9 - 6
Add: 17 - 14 = 9 - 6
Subtract: 3 = 3

Here we see that 3 does indeed equal 3.

∴ x = 3 is the solution to the equation.

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Answer:

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