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3 years ago

THOROUGHLY EXPLAIN how this is done plz

Mathematics

1 answer:

prisoha [69]3 years ago

8 0

First and last terms of the given equation are perfect squares. They can be written as

(4p^2)^2+ 2.(4p^2).5+(5)^2
It's like identity 1: (a+b)^2=a^2+2ab+b^2
So a=4p^2 and b=5
Therefore it is equal to (4p^2+5)^2

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Need answer to 13+p/3=-4

trasher [3.6K]

Answer:

Step-by-step explanation:

13+p/3=-4

P/3=-4-13

p=3(-4-13)

p=-13-39

p=-52

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2 years ago

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If one of the sides of the regular polygon pictured has a side length of 3x+2, what is the length of all the sides

leonid [27]

Answer:

3x+2

Step-by-step explanation:

The polygon is regular ,<em> </em>so all the sides would be equal.

Thus all sides measure same as <u>3x</u><u>+</u><u>2</u>

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2 years ago

Paisley's car used 11 gallons to travel 374 miles. How many gallons of gas would she need to travel 442 miles?

katen-ka-za [31]

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Step-by-step explanation:

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3 years ago

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A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream. What is the rate of

nikitadnepr [17]

<h3>Rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr</h3><h3><u>Solution:</u></h3>

Given that,

A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream

Therefore,

Upstream distance = 165 km

Upstream time = 3 hours

<h3><u>Find upstream speed:</u></h3>

$speed = \frac{distance}{time}\\\\speed = \frac{165}{3}\\\\speed = 55$

Thus upstream speed is 55 km per hour

Downstream distance = 510 km

Downstream time = 6 hours

<h3><u>Find downstream speed:</u></h3>

$speed = \frac{510}{6}\\\\speed = 85$

Thus downstream speed is 85 km per hour

<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then</u></em>

Speed downstream = u + v km/hr

Speed upstream = u - v km/hr

Therefore,

u + v = 85 ----- eqn 1

u - v = 55 ----- eqn 2

Solve both

Add them

u + v + u - v = 85 + 55

2u = 140

u = 70

<em><u>Substitute u = 70 in eqn 1</u></em>

70 + v = 85

v = 85 - 70

v = 15

Thus rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr

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3 years ago

At The Morning Donut, 8 of the last 16 donuts sold had

Naddik [55]

Answer:

Half

50%

That's the answer

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2 years ago