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3 years ago

Algebra 2 help please!

Mathematics

1 answer:

mezya [45]3 years ago

7 0

Answer:

h(-8)=1 and -12

Step-by-step explanation:

In this problem, we will need to plug in "-8" for any x we see.

h(-8)=|-8+4|-3

h(-8)= |-4|-3

h(-8)=4-3

h(-8)=1

Yay! We got an answer. However, since there is an absolute value, there is another case -- if x is negative.

h(-8)=-8-4

h(-8)=-12

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Ryan flew from Wiley Post to Ponca City and back. Ryan maintained an average rate of 450 mph going to Ponca City and an average

Reil [10]

The answer is B, and here's why. Set up a table for "there" and "back" and use the distance = rate * time formula, like this:
               d             r            t
there       d           450         t
back        d           400        1-t

Let me explain this table to you. The distance is d, we don't know what it is, that's what we are actually looking for. We only know that if we go somewhere from point A to point B, then back again to point A, the distance there is the same as the distance back. Hence, the d in both spaces. There he flew 450 mph, back he flew 400 mph. If the total distance was 1 hour, he flew an unknown time there and one hour minus that unknown time back. For example, if he flew for 20 minutes there, one hour minus 20 minutes means that he flew 60 minutes - 20 minutes = 40 minutes back. See? Now, because the distance there = the distance back, we can set the rt in both equal to each other. If d = rt there and d = rt back and the d's are the same, then we can set the rt's equal to each other. 450t = 400(1-t) and
450t = 400 - 400t and 850t = 400. Solve for t to get t = .47058. Now, t is time, not the distance and we are looking for distance. So multiply that t value by the rate (cuz d = r*t) to get that the distance one way is
d = 450(.470580 and d = 211. 76 or, rounded like you need, 212.

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2 years ago

Which are true about the pyramid? Check all that apply.

Travka [436]

The statements that are true about the pyramid are

The base of the pyramid is a square with four sides, each measuring 756 feet.

The slant height of the pyramid is 612 feet.

All four triangular faces are congruent.

The pyramid has four lateral faces.

<h3>Properties of a Square pyramid </h3>

From the question, we are to determine the statements that are true about the pyramid

The diagram shows a square pyramid,

The length of a side of its base is 756 ft

and

The height / altitude of a triangular face is 612 ft

Since the pyramid is a square pyramid,

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∴ The first statement is true

Since the height of a triangular face is 612 ft,

Then,

∴ The slant height of the pyramid is 612 feet

NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face

Thus, the second statement is true

Since the triangular faces each have a base of 756ft and a height of 612 ft,

Then,

All four triangular faces are congruent

∴ The fourth statement is true

NOTE: Lateral sides of a solid are the faces on the <u>sides</u> of the shape

The pyramid has four lateral faces which are each a triangle

∴ The last statement is true

Hence, the statements that are true about the pyramid are

The base of the pyramid is a square with four sides, each measuring 756 feet.

The slant height of the pyramid is 612 feet.

All four triangular faces are congruent.

The pyramid has four lateral faces.

Learn more on Pyramid here: brainly.com/question/10042135

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