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2 years ago

Claire says the expression 8x’has three terms: 8, x, and 3. Is she correct? Explain.

Mathematics

1 answer:

KatRina [158]2 years ago

8 0

Answer:

Step-by-step explanation:

No because the 8x^3 is all one term since it is not separated by any signs.

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Which pair of expressions are equivalent?

Zielflug [23.3K]

Answer:

second one

Step-by-step explanation:

Because when you try to remove the brackets then you should multiply coefficient of x and coefficient of y by 2

So it will be 2x+18y

2*9=18

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2 years ago

Combine like terms and classify the polynomial by the number of terms.

andriy [413]

The answer is C. Binomial

8 0

2 years ago

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5

DanielleElmas [232]

Answer:

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

$\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1$

Everything simplifies to 1.

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2 years ago

On Marshal’s 5th-grade math test, he was asked to evaluate: 25,328.941 ÷ 104. The answer he wrote was 25.328941. Unfortunately f

dimulka [17.4K]

Answer:

25,328.941 ÷ 104= 7.90415302

Step-by-step explanation:

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3 years ago

Troy’s canoe is 18 feet long. Ariel’s canoe is the length of Troy’s canoe.

tankabanditka [31]

Well the answer i think is going to be 18

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3 years ago

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