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2 years ago

What is the equation of the line perpendicular to y = -4x + 3 that goes through (8, -3)?

1 answer:

maks197457 [2]2 years ago

3 0

Perpendicular slope: opposite and reciprocal
-4 opposite and reciprocal = 1/4
Y = 1/4x + b
Plug in point
-3 = 1/4(8) + b
-3 = 2 + b, b = -5
Solution: y = 1/4x - 5

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Solve the triangle that has a=4.6, B=19°, A=92° (picture provided)

kolezko [41]

Answer:

Option b

Step-by-step explanation:

To solve this problem use the law of the sines.

We have 2 angles of the triangle and one of the sides.

$a = 4.6\\B = 19\°\\A = 92\°\\C = 180 -A - B\\C = 180 - 92 - 19\\C = 69\°$

The law of the sines is:

$\frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}$

Then:

$\frac{sin(92)}{4.6} = \frac{sin(19)}{b}\\\\b = \frac{sin(19)}{\frac{sin(92)}{4.6}}\\\\b = 1.5$

$\frac{sin(B)}{b} = \frac{sin(C)}{c}\\\\\frac{sin(19)}{1.5} = \frac{sin(69)}{c}\\\\c = \frac{sin(69)}{\frac{sin(19)}{1.5}}\\\\c = 4.30$

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3 years ago

Help! I can't seem to answer this. (question in photo)

german

The answer would be 48...

4 0

3 years ago

Convert 27 cubits to fathoms

topjm [15]

27 cubits =
6.75 fathoms

5 0

3 years ago

How to solve -40=30m-16?

Gennadij [26K]

What I would do for this problem, is move all the terms that don't contain m to the right side, and then solve.
m = 4/5.

7 0

3 years ago

Read 2 more answers

A company tests all new brands of golf balls to ensure that they meet certain specifications. One test conducted is intended to

docker41 [41]

Answer:

385 golf balls

Step-by-step explanation:

margin of error = (z*)(s) / sqrt n

where z* = 1.96 with 5%/ 2 = 0.025 area in each tail

margin of error = (z*)(s) / sqrt n

1.2 yards = (1.96)(12 yards) / sqrt n

solve for n

n = 384.16

385 golf balls (always round up)

3 0

3 years ago