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saul85 [17]
3 years ago
8

Find the distance between the point x = (-1,9) and y = (-2,8)

Mathematics
1 answer:
ad-work [718]3 years ago
8 0

Answer:

1.4

Step-by-step explanation:

use distance formula

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Find the slope of the line that passes through the points (-2,4) and (-5,-6)
natali 33 [55]

\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-6}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-6-4}{-5-(-2)}\implies \cfrac{-10}{-5+2}\implies \cfrac{-10}{-3}\implies \cfrac{10}{3}

4 0
3 years ago
Help please! show work thanks
Andre45 [30]
Answers
b = 2.77 m
A = 43.0°
C = 111.1°

cosine law to find b

b^2 = a^2 + c^2 -2ac \cos B \\ \\
b = \sqrt{a^2 + c^2 -2ac \cos B} \\ \\
b = \sqrt{4.33^2 + 5.92^2 - 2(4.33)(5.92) \cos 25.9} \\
b = 2.7708\ m

b = 2.7708\ m

Find angle A with sine law

\displaystyle
\frac{\sin A}{a} = \frac{\sin B}{b} \\ \\
\sin A = \frac{a \sin B}{b} \\ \\
A = \sin^{-1} \left[ \frac{a \sin B}{b}  \right] \\ \\
A = \sin^{-1} \left[ \frac{4.33 \sin 25.9}{2.7708}  \right]  \\ \\
A = 43.0467020

Find C with angles in triangle sum to 180

A + B + C = 180
C = 180 - A - B
C = 180 - 43.0467020 - 25.9
C = 111.1
6 0
3 years ago
Given: AE = 3, CE = 5 and ED is 4 less than EB find EB. Please give a step-by-step explanation. The best answer will receive bra
alisha [4.7K]

Answer:

EB = 10

Step-by-step explanation:

For this problem, you can use the power of a point, in the situation where two secants intersect in the interior of a circle. The formula is as follows:

CE * ED = AE * EB

(This is applied specifically to this problem)

We can substitute the values given,

5 * (x - 4) = 3 * x

simplify,

5x - 20 = 3x

and solve.

2x - 20 = 0

2x = 20

x = 10

Since the value of EB is x, EB = 10.

6 0
3 years ago
PLS HELP!! WILL GIVE BRAINLIEST Chris claims that Path A is 2 miles longer than Path B. What calculation error
maria [59]

Answer:

Step-by-step explanation:

He forgot the scale. It is 2 inches longer on the graph, but each inch represents 1/4 mile. So it is 2 quarter miles, or 1/2 mile

5 0
2 years ago
Read 2 more answers
How many times smaller is 2 × 10^-10 than 4 × 10^-5
natta225 [31]

Answer:

200,000

Step-by-step explanation:

To find how many times smaller is smaller number than greater number, divide greater number by smaller number.

Greater number =4\times 10^{-5}

Smaller number =2\times 10^{-10}

Then

\dfrac{\text{Greater number}}{\text{Smaller number}}\\ \\=\dfrac{4\times 10^{-5}}{2\times 10^{-10}}\\ \\=\dfrac{4}{2}\times \dfrac{10^{-5}}{10^{-10}}\\ \\=2\times \dfrac{1}{10^{-5}}\\ \\=2\times 10^5\\ \\=2\times 100,000\\ \\=200,000

7 0
3 years ago
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