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astraxan [27]
3 years ago
8

I’m giving 30 points

Mathematics
1 answer:
Over [174]3 years ago
8 0

Answer:

#3: 81

Step-by-step explanation:

I haven't done this type of math in a while so I'm unsure about #1 and #2, but #3 is 81.

3^4 = 3 × 3 × 3 × 3

3^4 = 9 × 3 × 3

3^4 = 27 × 3

3^4 = 81

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What is the slope of a line <br> parallel to the line 4x – 3y = 16?
galben [10]
"Parallel" means the same, which means the slope you find. The formula for slopes is y=mx+b, so we need to put this equation in the right order for that. ('m' is the slope.)
 Add 4x to each side, and get -3y=16+4x. Rearrange it to get it in the right order (y=mx+b).
This is -3y=4x+16. So the number in front of 'x' is 'm', which is the slope. You never actually see 'm', it is represented by a number. So four is the slope.
5 0
3 years ago
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one of the same side exterior angles of two parallel lines is 20 degrees less than the other same side exterior angle find the m
Dmitry_Shevchenko [17]

Answer:

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8 0
3 years ago
Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 36 miles at a speed of 6 mph, while
kykrilka [37]

Answer:

Niles and Bob were traveling for 6 hours.

Step-by-step explanation:

The speed or rate at which an object is moving can be computed using the formula:

s=\frac{d}{t}

Here:

<em>s</em> = speed

<em>d</em> = distance traveled

<em>t</em> = time taken

It is provided that Niles and Bob sailed at the same time for the same length of time.

Speed of Niles sailboat is, <em>s</em>₁ = 6 mph.

Distance traveled by Niles' sailboat is, <em>d</em>₁ = 36 miles.

Speed of Bob's sailboat is, <em>s</em>₂ = 16 mph.

Distance traveled by Bob's sailboat is, <em>d</em>₂ = 96 miles.

It took both Niles and Bob the same time to travel the respective distance.

Compute the time it took Niles to travel 36 miles at 6 mph speed as follows:

t_{1}=\frac{d_{1}}{s_{1}}

   =\frac{36}{6}\\=6

It took Niles 6 hours to travel 36 miles at 6 mph speed.

Compute the time it took Bob to travel 96 miles at 16 mph speed as follows:

t_{2}=\frac{d_{2}}{s_{2}}

   =\frac{96}{16}\\=6

It took Bob 6 hours to travel 96 miles at 16 mph speed.

Thus, Niles and Bob were traveling for 6 hours.

7 0
3 years ago
Solve the system of equations using the substitution method.
Galina-37 [17]

Answer:

x = y = -2

Step-by-step explanation:

Hope this helps

3 0
3 years ago
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Simplify cos^2 A/1+sin A
Stels [109]

Answer:

\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)

Step-by-step explanation:

We want to simplify:

\displaystyle \frac{\cos^2(A)}{1+\sin(A)}

Recall the Pythagorean Identity:

\sin^2(A)+\cos^2(A)=1

So:

\cos^2(A)=1-\sin^2(A)

Substitute:

\displaystyle =\frac{1-\sin^2(A)}{1+\sin(A)}

Factor. We can use the difference of two squares pattern:

\displaystyle =\frac{\left(1-\sin(A))(1+\sin(A))}{1+\sin(A)}

Cancel. Hence:

\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)

7 0
2 years ago
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