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4 years ago

Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain.

Mathematics

2 answers:

Viktor [21]4 years ago

7 0

Answer:

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Furkat [3]4 years ago

4 0

Answer:

Percy is incorrect

Step-by-step explanation:

I plugged in 9 and 8 for x and both of them did NOT solve it. The only number I know of that can solve it is -7. -7^2=49

-7 multiplied by 7 =-49

(49) + (-49) + 12 = 12

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PLS HELP DUE TODAY

Gekata [30.6K]

Here we go !!

Since it's a regular pentagon, all it's sides are equal so let's solve for x

$\hookrightarrow \: 3(x - 1) = 5x - 6$

$\hookrightarrow \: 3x - 3 = 5x - 6$

$\hookrightarrow \: 3x - 5x = - 6 + 3$

$\hookrightarrow \: - 2x = - 3$

$\hookrightarrow \: x = \dfrac{ - 3}{ - 2}$

$\boxed{\boxed{x = \dfrac{3}{2} }}$

now let's find the measure of each side, i.e

$\hookrightarrow \: 5x - 6$

$\hookrightarrow \: (5 \times \dfrac{3}{2}) - 6$

$\hookrightarrow \: \dfrac{15}{2} - 6$

$\hookrightarrow \: 7.5 - 6$

$\mathrm{\hookrightarrow \: 1.5 \: units}$

perimeter = 5 × side length ( for a regular pentagon )

$\hookrightarrow \: 1.5 \times 5$

$\boxed{ \boxed{ \: \: \: \: \: \: \: \: 7.5 \: \: units \: \: \: \: \: \: \: }}$

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3 years ago

Round 917,420 to the nearest thousand

zvonat [6]

Answer:

The nearest thousand to 917,420 is 917,000.

Step-by-step explanation:

Remember this rule: 5 or more, let the number in front soar. 4 or lower, the number has no power.

3 0

3 years ago

Read 2 more answers

Determine the domain and range of the graph.

nirvana33 [79]

Answer:

Domain [-4,4]

Range [-2,2]

Step-by-step explanation:

The domain is the x-values of the graph and the range in the y-values. When writing domain and range it should be from least to greatest. So to find the domain find the lowest x-value on the graph and then the highest. Next, do the same for y-values. Finally, either surround each value with parentheses or bracket, the difference is that brackets mean that value is included, while parentheses mean that value is not actually on the graph.

In this case, the lowest x-value is -4 and the highest is 4, both values are included as signified by the closed circles, therefore the domain is [-4,4]. The lowest y value is -2 and the highest is 2, both are included, therefore the range is [-2,2].

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3 years ago

What is the height of a cylinder with a volume of 384 Cubic inches and a radius of 8 inches? Round to the nearest tenth of an

Sveta_85 [38]

Answer:

h = 6

Step-by-step explanation:

πr²h = 384π

Divide by pi on both sides.

r²h = 384

8²h = 384

64h = 384

Divide by 64 on both sides to isolate h.

h = 6

3 0

4 years ago

The length of the tile be it is about 3 pounds 16228 inches which mark on the tape measure is the closest to tree Park 16228 inc

romanna [79]

The mark on the tape measure that is closest to 3.16228 is 3.1875

<h3>How to determine the closest measure?</h3>

The measurement is given as:

Length = 3.16228

The tape measure is marked in sixteenths of an inch i.e 1/16 or 0.0625

So, we have the following range:

0.0625, 0.125, 0.1875, 0.25,.....

Rewrite the range as follows:

3.0625, 3.125, 3.1875, 3.25,.....

The length 3.1622 is between 3.125 and 3.1875.

The difference between the measurement and the range is

3.16228 - 3.125 = 0.03728

3.1875 - 3.16228 = 0.02522

0.02522 is smaller than 0.03728

Hence, the mark on the tape measure that is closest to 3.16228 is 3.1875