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Nat2105 [25]
1 year ago
7

Find the slope(6,8) and (9,10)

Mathematics
1 answer:
USPshnik [31]1 year ago
5 0

name the points

a=(x1,y1) b=(x2,y2)

a=(6,8) b=(9,10)

use the slope formula

m=\frac{y2-y1}{x2-x1}

replace

\begin{gathered} m=\frac{10-8}{9-6} \\ m=\frac{2}{3} \end{gathered}

answer= The slope is equal to 2/3

a=(9,10) b=(6,8)

using the formula

\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ m=\frac{8-10}{6-9} \\ m=\frac{-2}{-3}=\frac{2}{3} \end{gathered}

slope will also be 2/3

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Answer:

that is step 1 and step 2 and step3

step 4

Let's solve your equation step-by-step.

−4(x+2)=8x+16

Step 1: Simplify both sides of the equation.

−4(x+2)=8x+16

(−4)(x)+(−4)(2)=8x+16(Distribute)

−4x+−8=8x+16

−4x−8=8x+16

Step 2: Subtract 8x from both sides.

−4x−8−8x=8x+16−8x

−12x−8=16

Step 3: Add 8 to both sides.

−12x−8+8=16+8

−12x=24

Step 4: Divide both sides by -12.

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Answer:

x=−2

6 0
3 years ago
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up. The
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The length of the ladder nearest hundredth of a foot is 23 feet.

We have given that,

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up.

The ladder makes an angle of 77^{\circ}  the ground.

<h3>What is the sin ratio?</h3>

sin(\theta)=\frac{perpendicular \ side}{hypotenous}

Therefore we get,

\implies\frac{22}{H} =sin(77)

\implies H=22/sin(77)

\implies 22.59ft\\\\=23ft

Therefore, The length of the ladder nearest hundredth of a foot is 23 feet.

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HELPPPPP Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropria
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The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that a = 8.6 in, b = 13.9 in. and c = 16.5 in. Using cosine rule:

c² = a² + b² - 2abcosC

16.5² = 8.6² + 13.9² - 2(8.6)(13.9) * cosC

C = 91.2°

Also:

a² = b² + c² - 2bccosA

8.6² = 16.5² + 13.9² - 2(16.5)(13.9) * cosA

A = 31.4°

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31.4 + B + 91.2 = 180

B = 57.4°

The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°

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2 years ago
If you can calculate how much paint would cover this room &amp; fill out this sheet, it would be greatly
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A. Your Choice

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There is 1 gallon per 400 ft^2, so you need 2 gallons of paint.

It costs $13.98 per gallon, so you need $13.98 * 2 = $27.96

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3 years ago
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