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Naya [18.7K]
3 years ago
11

Simplify the expression. c^-6 d^4/c^-16 d^14

Mathematics
1 answer:
pochemuha3 years ago
6 0

Answer:

\red{\frac{ {c}^{10}}{{d}^{10} } }

Step-by-step explanation:

\huge \: \frac{ {c}^{ - 6}  {d}^{4}}{ {c}^{ - 16}  {d}^{14} }  \\  \\  =  \huge \: \frac{ {c}^{16 - 6}}{{d}^{14 - 4} } \\  \\  =  \huge \:  \red{\frac{ {c}^{10}}{{d}^{10} } }

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Find the missing side lengths. Leave your answers as radicals in simplest form.
Citrus2011 [14]

This is the isosceles right triangle, the diagonal of a square, the thing that so upset the Pythagoreans. The two sides and diagonal of a square are in ratio 1:1:\sqrt{2} so we get


u = v =  8


We could have also gotten this using Trig:


u = (8 \sqrt{2}) \sin 45^\circ = 8 \sqrt{2}/\sqrt{2} = 8


v = (8\sqrt{2})\cos 45^\circ = 8


Or by recognizing u=v because remaining angle is 45 so this must be isosceles so


u^2 + u^2 = (8 \sqrt{2})^2


2u^2 = 2 (8^2)


u = 8

8 0
4 years ago
Determine the solution to the system of equations:<br> 2y - 2x = 22<br> y = -4x + 1
Thepotemich [5.8K]

Answer: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:(-2,9)

Equation form: x=-2 y=9

Step-by-step explanation:

Point Form:(-2,9)

Equation form: x=-2 y=9

3 0
3 years ago
Fiona draws a circle with a diameter of 14 meters. What is the area of Fiona’s circle?
Arte-miy333 [17]

Answer:

A ≈ 153.94 meters

Step-by-step explanation:

area area equals pi r squared. radius is half of the diameter. Half of 14 meters is 7 meters.

7 meters pi r squared is about 153.94 meters.

that would be my answer

4 0
3 years ago
Read 2 more answers
Y=1/4 (x+2)(x – 6
gladu [14]
I have no idea I’m answering this because I need to ask more questions
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3 years ago
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Ratling [72]

Answer:

Step-by-step explanation:

5ˣ⁺² = 5⁹

log₅(5ˣ⁺²) = log₅(5⁹)

x+2 = 9

x = 7

8 0
3 years ago
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