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lys-0071 [83]
3 years ago
5

Find the slope between the given two points (2, 1) and (8, 9)

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0

Answer:

4/3

Step-by-step explanation:

9-1/8-2=

8/6=4/3

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Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest
Murrr4er [49]
1. x
2. x + 2
3. x + 4

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5 0
3 years ago
A rectangle is four times as long as it is wide. If its length were diminished by 6 meters and its width were increased by 6 met
valkas [14]

Answer:

Length equals 16 and Width equals 4

Step-by-step explanation:

First let us create an equation. We can use L and W for length and width.

If the length is 4 times the width, then we end up with: L = 4W

It then says, " If its length were diminished by 6 meters and its width were increased by 6 meters, it would be a square."

Since a square has an equal length and width then we end up with:

L - 6 = W + 6

Knowing this we can just substitute the first equation into the second one leaving us with: 4W - 6 = W + 6

We then remove a W from both sides so that the right side is left with a 6, and add 6 to both sides to remove the -6 from the left one.

This leaves us with 3W = 12

W = 4, and if we put that into our first equation, L = 4W, then Length equals 16, and Width equals 4. We can check this by putting it into the 2nd equation. 16 - 6 = 4 + 6.

7 0
2 years ago
Calculate the side lengths a and b to two decimal places
muminat

Answer:

Option (D)

Step-by-step explanation:

In the picture attached,

An obtuse angle triangle ABC has been given.

By applying Sine rule in the triangle,

\frac{\text{SinB}}{b}=\frac{\text{SinA}}{a}=\frac{\text{SinC}}{c}

Since, m∠A + m∠B + m∠C = 180°

45° + 110° + m∠C = 180°

m∠C = 180°- 155° = 25°

\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=\frac{\text{Sin25}}{7}

\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=0.060374

\frac{\text{Sin110}}{b}=0.060374

b = \frac{\text{Sin110}}{0.060374}

b = 15.56

b ≈ 15.56

\frac{\text{Sin45}}{a}=0.060374

a = \frac{\text{Sin45}}{0.060374}

a = 11.712

a = 11.71

Therefore, Option (D) will be the answer.

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3 years ago
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