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3 years ago

Answer these and show your work PLEASE AND THANK YOU ASAP

Mathematics

1 answer:

neonofarm [45]3 years ago

7 0

Answer:

Step-by-step explanation:

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What is the range of possible sizes for side x

Xelga [282]

Answer:

0.5 < x < 16.5

Step-by-step explanation:

For a triangle (by the triangular inequality theorem), we know that the sum of any two sides must be larger than the other side.

When we have a triangle and we know two sides, let's define the measures of these sides as S1 and S2. (such that S2 > S1)

By the first property, we will have that S1 + S2 > S3

Where S3 is the third side, the one that we do not know.

But there is also a lower restriction, given by:

S2 - S1 < S3 < S1 + S2

This is because we also must have:

S1 + S3 > S2

and

S2 + S3 > S1

We can rewrite both of these to get:

S2 - S1 < S3

S1 - S2 < S3

Because S2 > S1, the first inequality is more restrictive, so we need to use that one.

Then we get the inequality:

S2 - S1 < S3 < S1 + S2

Ok, in this case, the shorter side is 8.0 then:

S1 = 8.0

And the longer side is 8.5, then:

S2 = 8.5

And the third side is x, S3 = x

Replacing those in our inequality, we get:

8.5 - 8.0 < x < 8.5 + 8.0

0.5 < x < 16.5

This is the range of possible sizes for side x.

3 0

3 years ago

Will give Brainly lollllllll XD......................

marshall27 [118]

Answer:

it looks like it would just be -1

Step-by-step explanation:

there two -x and two positive x which would cancel out. three positive 1 and four negative 1. -4+3= -1

that's the best I could come up with

6 0

3 years ago

Read 2 more answers

We use grouping to factor a polynomial with how many terms?

sveticcg [70]

Four terms are used when grouping to factor.

3 0

3 years ago

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antid

Kisachek [45]

Answer:

$35x - \frac{9x^2}{2} + C$

Step-by-step explanation:

The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method. Currently the function has degree 1. Through integration we increase the degree of each term by 1 and divide by the degree.

Thus 35 - 9x becomes $35x - \frac{9x^2}{2} + C$ . We add a constant C for any possible constant that was eliminated during differentiation.

4 0

3 years ago

What is the volume of this rectangular prism?

nika2105 [10]

Answer:

The volume of this rectangular prism is D. 60 $cm^{3}$ .

Step-by-step explanation:

In order to find the volume of a rectangular prism, we need to multiply the length by the width, and then multiply their product by the height of the prism. We can write what I said above as a formula...

V = l × w × h

(In the formula above "V" is the volume, "l" is the length, "w" is the width, and "h" is the height).

Now we just substitute the values into the formula and we get...

V = l × w × h

V = 4cm × 3cm × 5cm

V = 60 $cm^{3}$

Therefore, the volume of this rectangular prism is D. 60 $cm^{3}$ .

6 0

3 years ago