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3 years ago

According to exponent rules, when we multiply the expressions with like bases we ________ the exponents

Mathematics

1 answer:

notsponge [240]3 years ago

3 0

Answer:

A. Add

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Solve the formula for the specified variable.<br> W=1/3TS<br> solve for t

Elenna [48]

ANSWER

$T = \frac{3W}{S}$

EXPLANATION

The given formula is

$W = \frac{1}{3} TS$

We want to solve for T in the given formula.

We multiply through by 3 first to get,

$3 \times W =3 \times \frac{1}{3} TS$

We simplify to get,

$3W = TS$

We now divide both sides by S to get,

$\frac{3W}{S} = \frac{ TS}{S}$

We simplify to obtain:

$\frac{3W}{S} = T$

$T = \frac{3W}{S}$

8 0

4 years ago

Solve the following quadratic equation for all values of a in simplest form.

SVEN [57.7K]

Answer:

$X1 = 6-\sqrt{2} , X2 = 6+\sqrt{2}$

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

As shown at the right, rectangle abcd has vertices c and d on the. V-axis and vertices a and b on the part of the parabola y — 9

Sergio039 [100]

a) The <em>perimeter</em> function of the rectangle is $p = 18\cdot x -2\cdot x^{3}$ .

b) The domain of the <em>perimeter </em>function is $x \in [-3, 3]$ .

<h3>How to analysis the perimeter formula of a rectangle inside a parabola</h3>

a) The perimeter of a rectangle ( $p$ ) is the sum of the lengths of its four sides:

$p = AB\cdot AC$ (1)

If we know that $AB = 2\cdot x$ and $AC = 9-x^{2}$ , then the perimeter of the rectangle is represented by the following formula:

$p = 2\cdot x \cdot (9-x^{2})$

$p = 18\cdot x -2\cdot x^{3}$

The <em>perimeter</em> function of the rectangle is $p = 18\cdot x -2\cdot x^{3}$ . $\blacksquare$

b) The domain of the function is the set of values of $x$ associated to the function. After a quick inspection, we find that the domain of the <em>perimeter </em>function is $x \in [-3, 3]$ . $\blacksquare$

<h3>Remark</h3>

The statement is incomplete and poorly formatted. The correct form is described below:

<em>As shown at the right, rectangle ABCD has vertices C and D on the x-axis and vertices A and B on the part of the parabola </em> $y = 9-x^{2}$ <em> that is above the x-axis. a) Express the perimeter </em> $p$ <em> of the rectangle as a function of the x-coordinate of A. b) What is the domain of the perimeter function?</em>