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2 years ago

Point Q is on line segment PR

Mathematics

1 answer:

alisha [4.7K]2 years ago

3 0

Answer:

Step-by-step explanation:

PR = PQ + QR

4x - 10 =<u> x + 2x</u> + 4 {Combine like terms}

4x - 10 = 3x + 4 {Add 10 to both sides}

4x = 3x + 4 + 10

4x = 3x + 14 {Subtract 3x from both sides}

4x - 3x = 14

x = 14

PR = 4x - 10 {Plugin x = 14}

= 4*14 - 10

= 56 - 10

= 46

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The value of 9−y is twice the value of y. What is the value of y?

ElenaW [278]

Answer:

y = 3

Step-by-step explanation:

9 - y = 2y

<u>Step 1: Add y to both sides</u>

9 - y + y = 2y + y

9 = 3y

<u>Step 2: Divide both sides by 3</u>

9 / 3 = 3y / 3

3 = y

Answer: y = 3

7 0

2 years ago

Which statement is true?

love history [14]

<h2>Hello!</h2>

The answer is:

The second option,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Discarding each given option in order to find the correct one, we have:

<h2>First option,</h2>

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[2m]{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[m]{xy}$

<h2>Second option,</h2>

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

The statement is true, we can prove it by using the following properties of exponents:

$(a^{b})^{c}=a^{bc}$

$\sqrt[n]{x^{m} }=x^{\frac{m}{n} }$

We are given the expression:

$(\sqrt[m]{x^{a} } )^{b}$

So, applying the properties, we have:

$(\sqrt[m]{x^{a} } )^{b}=(x^{\frac{a}{m}})^{b}=x^{\frac{ab}{m}}\\\\x^{\frac{ab}{m}}=\sqrt[m]{x^{ab} }$

Hence,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

<h2>Third option,</h2>

$a\sqrt[n]{x}+b\sqrt[n]{x}=ab\sqrt[n]{x}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$a\sqrt[n]{x}+b\sqrt[n]{x}=(a+b)\sqrt[n]{x}$

<h2>Fourth option,</h2>

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=m\sqrt{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=\sqrt[m]{\frac{x}{y} }$

Hence, the answer is, the statement that is true is the second statement:

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Have a nice day!

6 0

2 years ago

2x+3=x+x+3<br> Show your work

Nitella [24]

Step-by-step explanation:

2x+3=x+x+3

add the X's on the right side together.

2x+3=2x+3

subtract 2x from both sides

3=3

subtract 3 from both sides

0=0

the statement is true for any value of x

5 0

2 years ago

You randomly select one card from a 52-card deck. Find the probability of selecting a two or a jack.

Margarita [4]

4 twos and 4 Jack's 4+4=8. 8/52=4/26=2/13

2/13 is the simplest form

4 0

2 years ago

WILL GIVE BRAINLIST AS SOON AS I CAN is this 32, maybe? i have no idea.

Feliz [49]

Answer:

y ≈ 32.0°

Step-by-step explanation:

Since the triangle is right use the sine ratio to find y

sin y = $\frac{opposite}{hypotenuse}$ = $\frac{9}{17}$ , thus

y = $sin^{-1}$ ( $\frac{9}{17}$ ) ≈ 32.0° ( nearest tenth )

8 0

2 years ago