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2 years ago

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18. Write an expression to represent the area of the shaded region in simplest form. Please help it's due tomorrow

1 answer:

IgorC [24]2 years ago

7 0

Answer:

(x^2 + 2x - 21) sq units

Step-by-step explanation:

Area of the shaded region = Area of the larger rectangle - Area of smaller rectangle

Area of the larger region = x(x+2)

Area of the larger region =x^2 + 2x

Area of the smaller rectangle = 3 * 7

Area of the smaller rectangle = 21 sq. units

Area of the shaded region = x^2 + 2x - 21

Hence the required expression is (x^2 + 2x - 21) sq units

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What does evaluate mean? I have to do a math problem for a post-test and I don’t know what the heck Evaluate means!

earnstyle [38]

Answer:

Evaluate: to determine or set the value or amount of; appraise: to evaluate the property. to judge or determine the significance, worth, or quality of; assess: to evaluate the results of an experiment. Mathematics. to determine or calculate the numerical value of (a formula, function, relation, etc.).

Hope this helps! Please mark Brainliest!

6 0

3 years ago

Read 2 more answers

What is the following quotient? 5/√11-√3

kati45 [8]

ANSWER

$\frac{5( \sqrt{11} + \sqrt{3} )} {8}$

EXPLANATION

The given rational function is

$\frac{5}{ \sqrt{11} - \sqrt{3}}$

We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of

$\sqrt{11} - \sqrt{3}$

which is

$\sqrt{11} + \sqrt{3}$

When we rationalize we obtain:

$\frac{5( \sqrt{11} + \sqrt{3} )}{(\sqrt{11} - \sqrt{3} )( \sqrt{11} + \sqrt{3} )}$

The denominator is now a difference of two squares:

$(a - b)(a + b) = {a}^{2} - {b}^{2}$

We apply this property to get

$\frac{5( \sqrt{11} + \sqrt{3} )}{( \sqrt{11}) ^{2} - ( \sqrt{3}) ^{2} )}$

$\frac{5( \sqrt{11} + \sqrt{3} )}{11 - 3}$

This simplifies to

$\frac{5( \sqrt{11} + \sqrt{3} )} {8}$

Or

$\frac{5 } {8}\sqrt{11} + \frac{5 } {8}\sqrt{3}$

8 0

2 years ago

Read 2 more answers

Find and interpret the mean absolute deviation of the data. 8,12,4,3,14,1,9,13

melomori [17]

Answer:

8

Step-by-step explanation:

8+12+4+3+14+1+9+13=64, 64/8=8

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2 years ago

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Help and explain explain !!!!!!!!!!

tigry1 [53]

Answer:

$x=-1\text{ or }x=11$

Step-by-step explanation:

For $a=|b|$ , we have two cases:

$\begin{cases}a=b,\\a=-b\end{cases}$

Therefore, for $18=|15-3x|$ , we have the following cases:

$\begin{cases}18=15-3x,\\18=-(15-3x)\end{cases}$

Solving, we have:

$\begin{cases}18=15-3x, -3x=3, x=\boxed{-1},\\18=-(15-3x), 18=-15+3x, 33=3x, x=\boxed{11}\end{cases}$ .

Therefore,

$\implies \boxed{x=-1\text{ or }x=11}$

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2 years ago

Not sure how to do this. i always struggle with proofs.

nlexa [21]

Answer:

Statement: angle QAU congruent to angle KAC

Reasoning: vert. angle congruenct thm

S: angle U congruent to angle C

R: Alt. Int. Angle Thm

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Step-by-step explanation:

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2 years ago