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yulyashka [42]
3 years ago
6

Find the distance between these points. R(-1,0) s(8,6)

Mathematics
1 answer:
drek231 [11]3 years ago
3 0
A(x_1;\ y_1);\ B(x_2;\ y_2)\\The\ distance\ between\ A\ and\ B:\\|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\-----------------------\\R(-1;\ 0)\to x_1=-1\ and\ y_1=0\\S(8;\ 6)\to x_2=8\ and\ y_2=6\\\\|RS|=\sqrt{(8-(-1))^2+(6-0)^2}=\sqrt{9^2+6^2}=\sqrt{81+36}=\boxed{\sqrt{107}}
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What is the measure, in degrees, of ABC? <br>​
kirza4 [7]

Answer:

25 Degrees

Step-by-step explanation:

155+25=180

5 0
3 years ago
A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350
wlad13 [49]

Answer:

517,262

Step-by-step explanation:

A population of butterflies grow in such a way that each generation is simply 1.5 times the previous generation. There were 350 butterflies in the first generation, how many will there be by the 19th generation?

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Ans: (1.5)^18 * 350 = 517,262

4 0
3 years ago
Read 2 more answers
When a jar of fruit is 2/3 of the way full it can hold 2 1/4 cups of fruit what fraction of the jar is full when it only contain
Natali [406]

Answer:

8/27

Step-by-step explanation:

<h2><u>Fractions</u></h2>

a jar of fruit is 2/3 of the way full it can hold 2 1/4 cups of fruit

what fraction of the jar is full when it only contains one cup of fruit?

by using these statements , we can solve this through <u>cross multiplication</u>:

fraction that the jar is full                   :           number of cups of fruit

                 \frac{2}{3}                                         :                        2 \frac{1}{4}

                 x                                         :                        1

\frac{2}{3}  = 2 \frac{1}{4} x

convert 2 \frac{1}{4} from a mixed fraction to an improper fraction

hence 2 1/4  = 9/4

solve

\frac{2}{3}  = \frac{9}{4} x.

x = \frac{2}{3} /  \frac{9}{4}

<u>x = 8/27</u>

<h3><u>when the cup contains one cup of fruit its fraction 8/27 full </u></h3>
5 0
3 years ago
Read 2 more answers
Find all values of x in the interval [0, 2π] that satisfy the equation. <br><br>6sin²(x) = 3
34kurt

Answer:

The solutions are π/4, 3π/4,5π/4,7π/4

Step-by-step explanation:

The given equation is

6sin²(x) = 3

Divide by 6 to get:

{ \sin}^{2} (x) =  \frac{1}{2}

This implies that;

\sin(x) = \pm  \frac{ \sqrt{2} }{2}

If

\sin(x) = \frac{ \sqrt{2} }{2}

x =  \frac{\pi}{4}

in the first quadrant

x =  \frac{3\pi}{4}

in the second quadrant.

If

\sin(x) = -  \frac{ \sqrt{2} }{2}

x =  \frac{5\pi}{4}

in the third quadrant

x =  \frac{7\pi}{4}

5 0
3 years ago
Write the equation of the line that passes through the given point and is parallel to the given line. (5, -4); y = 1/5x - 4
kow [346]

parallel = same slope

y=1/5x-4

slope= 1/5x

solve using for b using y=mx+b

-4=(1/5)(5)+b

-4=4+b

(subtract -4 from both sides)

-8=b

put your equation together:

y=1/5x-8

8 0
2 years ago
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