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3 years ago

Simplify each expression by using the distributive property and combining like terms.

Mathematics

2 answers:

Free_Kalibri [48]3 years ago

5 0

Answer:

2x - 12

Step-by-step explanation:

Fiesta28 [93]3 years ago

4 0

Hello!

So, let's simplify using the distributive property.

Let's look at <em>3(2x - 4). </em>You want to multiply 3 by every term inside the parentheses.

3*2x = 6x

3*-4= - 12

So now our expression looks like this:

(6x - 12) - 4x

Now we combine like terms. Our only like terms are 6x and -4x.

6x - 4x = 2x. So, our simplified expression is:

2x - 12.

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(105^3) * (105^3).....keep the base and add the exponents

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2 years ago

Read 2 more answers

In ΔXYZ, x = 8.3 meters, y = 9 meters, and z = 15 meters. Find the remaining measurements of the triangle, and round your answer

laila [671]

Answer:

<u>The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°</u>

Step-by-step explanation:

Let's recall that for solving a SSS triangle, we :

1. Use the Law of Cosines first to calculate one of the angles

2. Use The Law of Cosines again to find another angle

3. Finally use angles of a triangle add to 180° to find the last angle.

1. Cos x = (9² + 15² - 8.3²/2 * 9 * 15)

Cos x = (81 + 225 - 68.89/270)

Cos x = 0.878

x = Cos ⁻¹ (0.878)

x = 28.6° (rounding to the next tenth)

2. Cos y = (8.3² + 15² - 9²/2 * 8.3 * 15)

Cos y = (68.89 + 225 - 81/249)

Cos y = 0.855

x = Cos ⁻¹ (0.855)

x = 31.2° (rounding to the next tenth)

3. z = 180 - 31.2 - 28.6

z = 120.2°

<u>The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°</u>

4 0

3 years ago

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 180 lb and each bo

s344n2d4d5 [400]

It would be 12 boxes

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3 years ago

Point W is located at (0, 7), and point X is located at (4, 0). Julianne wants to find point F on WX such that the ration of WF

aniked [119]

The coordinate of point F will be (1.6,4.2) for the given line segment.

<h3> What is a line segment?</h3>

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given the F intercept 2 and 3

x = [2(4) + 3(0)]/(2+3)

x = 8/5 = 1.6

Similarly

y = [2(0) + 3 (7)]/(2+3)

y = 21/5 = 4.2

Hence "The coordinate of point F will be (1.6,4.2) for the given line segment".

For more about line segment,

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6 0

2 years ago

Read 2 more answers

Given:

lys-0071 [83]

Answer:

$PS=13\text{ units}$

Step-by-step explanation:

So, we know that PR is 20, SR is 11, and QS is 5.

We also know that PQ is perpendicular to QR, forming the right angle at ∠Q.

We know all the side lengths except for PQ and PS (the one we want to find). Notice that if we find PQ first, we can then use the Pythagorean Theorem to find PS since we already know QS.

So, let's find PQ.

We can see that we can also use the Pythagorean Theorem on PQ. PQ, QR, and PR (the hypotenuse) will be our sides. So:

$(PQ)^2+(QR)^2=(PR)^2$

We know that PR is 20.

QR is the combined length of QS+SR, so QR is 5+11 or 16.

So, substitute:

$(PQ)^2+(16)^2=(20)^2$

Solve for PQ. Square:

$(PQ)^2+256=400$

Subtract 256 from both sides:

$(PQ)^2=144$

Take the square root of both sides:

$PQ=12$

So, the side length of PQ is 12.

Now, we can use the Pythagorean Theorem again to find PS. Notice that PQ, QS, and PS also form a right triangle, with PS being the hypotenuse. So:

$(PQ)^2+(QS)^2=(PS)^2$

We already know that QS is 5. We also just determined that PQ is 12. Substitute:

$(12)^2+(5)^2=(PS)^2$

Square:

$144+25=(PS)^2$

Add:

$169=(PS)^2$

Take the square root of both sides:

$PS=13$

Therefore, the length of PS is 13 units.

And we're done!

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3 years ago