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3 years ago

Is ab perpendicular to cd A(0,2) B(-3,-3) C(-4,1)D(0,-2)

1 answer:

6 0

Find the slopes of the 2 line segments and see if they are negative reciprocals then the lines are perpendicular.
AB slope is -3-2/-3-0= -5/-3=5/3
CD slope is -2-1/0- -4=-3/4

The lines are not perpendicular

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Help with this question (100 points)

Masteriza [31]

Answer:

y = $\frac{\pi}{3}$

Step-by-step explanation:

using the addition formula for sine

sin(x + y) = sinxcosy + cosxsiny

then

sinxcosy + cosxsiny = $\frac{1}{2}$ sinx + $\frac{\sqrt{3} }{2}$ cosx

for the 2 sides to be equal , then

cosy = $\frac{1}{2}$ and siny = $\frac{\sqrt{3} }{2}$

then

y = $cos^{-1}$ ( $\frac{1}{2}$ ) = $\frac{\pi }{3}$

and

y = $sin^{-1}$ ( $\frac{\sqrt{3} }{2}$ ) = $\frac{\pi }{3}$

thus y = $\frac{\pi }{3}$

6 0

2 years ago

Given: -7x<-21 choose the solution set

Ahat [919]

Answer:

x > 3

Step-by-step explanation:

The only thing you need to do is just divide both sides by -7

-7x/-7<-21/-7

x>3

I hope this helped!! Good luck (:

6 0

2 years ago

easy car rental charges $40 a day plus $.25 per mile race. rent a car charges $25 a day plus $.45 per mile. what number of miles

DiKsa [7]

A: cost= 3*55+.35m
B: cost=3*50+.40m

set the costs equal, and solve for m.

6 0

3 years ago

Find the sum and difference (first mixed number minus the second mixed number) for the following pair of mixed numbers. The answ

xz_007 [3.2K]

Answer:

Sum = 15 8/15, Difference = 1 2/15

Step-by-step explanation:

8⅓, 71/5

A. Sum

8⅓ + 7 1/5

Convert to improper fraction

25/3 + 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) + (36×3)] / 15

[125 + 108] / 15

233 / 15

Convert to mixed fraction

15 8/15

B. Difference

8⅓ – 7 1/5

Convert to improper fraction

25/3 – 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) – (36×3)] / 15

[125 – 108] / 15

17 / 15

Convert to mixed fraction

1 2/15

SUMMARY:

Sum = 15 8/15, Difference = 1 2/15

3 0

3 years ago

Write 16.985 0.006 and 0.238 in word form

alexgriva [62]

<span>sixteen and nine hundred eighty-five hundredths
six-thousandths
two hundred thirty-eight hundredths</span>

7 0

3 years ago