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3 years ago

Find the distance between the two points. Show your work. (−4, 7) and (4, 0)

Mathematics

1 answer:

sergejj [24]3 years ago

4 0

Answer:

-7 units

Step-by-step explanation:

count -7 units

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I believe it’s C, I’m not every sure

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2 years ago

Determine the equation of the line passing through the points (4,-1) and (-2,-4)

jenyasd209 [6]

Answer:

y = 1/2x - 3

Step-by-step explanation:

the slope:

$m=\frac{-4-(-1)}{-2-4} =\frac{-4+1}{-6} =\frac{-3}{-6} =\frac{3}{6} =\frac{1}{2}$

the equation:

with the point (4, -1)

$y-(-1)=\frac{1}{2} (x-4)$

$y+1=\frac{1}{2}x-2$

$y=\frac{1}{2} x-2-1$

$y=\frac{1}{2} x-3$

I hope this help you

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3 years ago

A building casts a shadow of 30ft.

alexandr402 [8]

Answer:

Step-by-step explanation:

3 0

2 years ago

Just number 9 would be fine please but also if you could number 10 would help

topjm [15]

Answer:

9. a = -7

10. x = 1

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

a + 6a - 14 = 3a + 6a

Step 2: Solve for a

Combine like terms: 7a - 14 = 9a
Subtract 7a on both sides: -14 = 2a
Divide 2 on both sides: -7 = a
Rewrite: a = -7

Step 3: Check

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

Substitute in a: -7 + 6(-7) - 14 = 3(-7) + 6(-7)
Multiply: -7 - 42 - 14 = -21 - 42
Subtract: -49 - 14 = -63
Subtract: -63 = -63

Here we see that -63 is equal to -63.

∴ a = -7 is a solution of the equation.

Step 4: Define equation

-12 - 4x = 8x + 4(1 - 7x)

Step 5: Solve for x

Distribute 4: -12 - 4x = 8x + 4 - 28x
Combine like terms: -12 - 4x = -20x + 4
Add 20x on both sides: -12 + 16x = 4
Add 12 on both sides: 16x = 16
Divide 16 on both sides: x = 1

Step 6: Check

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

Substitute in x: -12 - 4(1) = 8(1) + 4(1 - 7(1))
Multiply: -12 - 4 = 8 + 4(1 - 7)
Subtract: -16 = 8 + 4(-6)
Multiply: -16 = 8 - 24
Subtract: -16 = -16

Here we see that -16 does indeed equal -16.

∴ x = 1 is a solution of the equation.

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3 years ago

106. Find the inverse g for each function f. c.f(x) =23x+ 1

Arada [10]

I switched the x and y so it’s easier to see. The answer is (x-1)/(23).

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3 years ago