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1 year ago

Triangle P Q R is shown. Angle Q P R is a right angle. The length of Q P is 8 StartRoot 3 EndRoot and the length of P R is 8.

Mathematics

1 answer:

Vika [28.1K]1 year ago

6 0

Answer: Length of side QR is 16 units.

Step-by-step explanation: Given that dimensions of PQR

QPR= 90degrees

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PLZ HELP ASAP!!!!! <img src="https://tex.z-dn.net/?f=" id="TexFormula1" title="" alt="" align="absmiddle" class="latex-formula">

AveGali [126]

The simplified expression of $$4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ is $4x^3$ .

Solution:

Given expression is $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ .

To simplify the given expression.

$$\Rightarrow4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$

Using exponent rule: $\frac{1}{a^{-m}}=a^m$

$$\Rightarrow4x \cdot x^{5}.x^{-3}$

Using another exponent rule: $a^m \cdot a^n=a^{m+n}$

$$\Rightarrow4x \cdot x^{5-3}$

$$\Rightarrow4x \cdot x^{2}$

Using exponent rule: $a^m \cdot a^n=a^{m+n}$

$$\Rightarrow4x^{1+2}$

$$\Rightarrow4x^3$

Hence the simplified expression of $$4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ is $4x^3$ .

8 0

3 years ago

Will you help me?

Volgvan

Answer:

The length side of the original square banner was 9 ft

Step-by-step explanation:

Let

x-----> the length side of the original square banner

we know that

The new area of the banner is equal to

$91=(x+4)(x-2)$

Solve for x

$91=(x+4)(x-2)\\ \\91=x^{2}-2x+4x-8\\ \\x^{2}+2x-99=0$

Solve the quadratic equation by graphing

The solution is x=9 ft

see the attached figure

8 0

3 years ago

Use the simple interest formula, I = prt, to find the simple interest:

Mkey [24]

4,000×0.035×2=280
.................

5 0

3 years ago

the domain of a function f(x) is x > 1, and the range is y < -2. What are the domain and range of its inverse function, f^

Marianna [84]

9514 1404 393

Answer:

domain: x < -2
range: y > 1

Step-by-step explanation:

Domain and range of the inverse function are swapped: the domain of the function is the range of its inverse, and vice versa.

The graph shows an example of a function and its inverse with the given domain and range. The function is red; its inverse is blue.

8 0

3 years ago

I need this done by today someone plzz help me !!!

Pie

(is/of=%/100)
(12/x= 35/100) = 34.29
(500/400=x/100) = 125

8 0

3 years ago