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Katen [24]
2 years ago
8

(-x-¹y)°

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
3 0

a^0=1\ \text{for any real number except 0}.\\\\\text{Therefore}\ (-x^{-1}y)^0=1\ \text{for}\ x\neq0\ \text{and}\ y\neq0.\\\\a^{-1}=\dfrac{1}{a^1}\ \text{for any real number except 0}.\\\\\text{Therefore}\ w^{-1}=\dfrac{1}{w}.\\\\\dfrac{(-x^{-1}y)^0}{4w^{-1}y^2}=\dfrac{1}{4y^2\cdot\frac{1}{w}}=\dfrac{1}{4y^2}\cdot\dfrac{w}{1}=\boxed{\dfrac{w}{4y^2}}

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If PQ bisects Angle RPS and measure of angle RPS = 120°, find p and measure of angle RPQ.
Ghella [55]

Answer:

p = 6; RPQ = 60 degrees

Step-by-step explanation:

Because RPS is 120 degrees and it is bisected by PQ (cut into 2 equal parts), we can determine that both sides are 60 degrees. Set the expression 5p+30 equal to 60 to find the value of p.

5p + 30 = 60

5p = 30

p = 6

So now you have determined that p = 6, and the measure of RPQ is 60 degrees.

Hope this helped!

8 0
3 years ago
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Daja is packing her backpack for school. Her textbook weighs 1 ¼ pounds. Her notebooks weigh ¼ pound. Her other supplies weigh ¾
Shalnov [3]

Answer:

2 1/4 or 2.25

Step-by-step explanation:

1 1/4 + 1/4 = 1 2/4

1 2/4 + 3/4 = 2 1/4

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2 years ago
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You row a canoe x miles per hour down a river for 20 minutes. On the return trip, you travel 1 mile per hour slower. The return
ozzi

Answer:

Total Distance = 2 miles

Step-by-step explanation:

We know D = RT where

D is distance

R is rate (speed)

T is time

First Leg:

Rate = x mph

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Second Leg:

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Total distance is the sum of both the legs, hence,

Total distance = \frac{x}{3}+\frac{x-1}{2}=\frac{2x+3(x-1)}{6}=\frac{2x+3x-3}{6}=\frac{5x-3}{6} miles

Since both the distance are equal we can equate and solve:

\frac{x}{3}=\frac{x-1}{2}\\2x=3x-3\\x=3

Plugging this x = 3 into the total distance expression, we get:

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5 0
3 years ago
Which of the following is NOT true about the hypotenuse of a triangle?
fiasKO [112]

Depending on the length of the two sides of the triangle the length could be smaller than 1.

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B. It is always greater than 1

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2 years ago
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tatuchka [14]

Answer:

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Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write expression

13[62 ÷ (52 - 42) + 9]

Step 2: Brackets - Parenthesis (Subtract)

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Step 3: Brackets - Division

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Step 4: Brackets - Addition

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Step 5: Multiply

197.6

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3 years ago
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