3 years ago

If c | | d, which statement must be true?

Mathematics

1 answer:

lozanna [386]3 years ago

5 0

Answer:

D. M<6 + M<10 = 180°

Step-by-step explanation:

Because they are consequetive interior angles and they are supplementary

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What is the simplified base of the function f(x) = One-fourth (Root Index 3 StartRoot 108 EndRoot) Superscript x?

Rainbow [258]

Answer:

The base is: $3 \sqrt[3]{4}$

Step-by-step explanation:

Given

$f(x) = \frac{1}{4}(\sqrt[3]{108})^x$

Required

The base

Expand 108

$f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x$

Rewrite the exponent as:

$f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x$

Expand

$f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x$

$f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x$

Rewrite as:

$f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x$

An exponential function has the following form:

$f(x)=ab^x$

Where

$b \to base$

By comparison:

$b =3 \sqrt[3]{4}$

So, the base is: $3 \sqrt[3]{4}$

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Delicious77 [7]

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Step-by-step explanation:

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2 years ago

Lilly nearly arranges 35 radio controlled cars in 5 rows on the shelf find the number of cars placed in each row

Nastasia [14]

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Step-by-step explanation:

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3 years ago

In the following pair of polynomials, the second polynomial is a factor of the first. Factor completely x^3+3x^2-18x , x-4

OLga [1]

Answer:

The required factors are: x, (x + 6) and (x - 3).

Step-by-step explanation:

As per the question,

The given polynomial is:

$x^{3}+3x^{2}-18x$

Now,

BY factorization, we get

$x^{3}+3x^{2}-18x$

$=x(x^{2}+3x-18)$

By splitting the mid-term, that is split 3x like:

3x = 6x - 3x

Therefore,

$x(x^{2}+6x-3x-18)$

Now on further solving by taking common factor out, we get

$=x[x(x+6)-3(x+6)]$

$=x(x+6)(x-3)$

Therefore, the given second polynomial (x - 4), is not a factor of given polynomial $x^{3}+3x^{2}-18x$ .

Hence, the given polynomial has three factor x, (x + 6) and (x - 3).

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tino4ka555 [31]

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