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3 years ago

How does knowing properties of exponents

Mathematics

1 answer:

Amanda [17]3 years ago

7 0

Answer:

It makes it easier to understand math and helps you answer the problem of which math you are doing.

Step-by-step explanation:

They are just a method used to do math

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The point (4, -8.5) is reflected across the y axis on a coordinate plane to create a new point. What is the distance between the

Shalnov [3]

Answer:

8units

Step-by-step explanation:

If the coordinate (x,y) is reflected over the y axis, the resulting coordinate will be (-x, y)

For the coordinate (4,-8.5), the resulting point after reflection will be (-4, -8.5)

Using the distance formula;

D = √(x₂-x₁)²+(y₂-y₁)²

D = √(-8.5+8.5)²)²+(-4-4)²

D =√(-8)²

D = √64

D = 8

Hence the required distance is 8units

5 0

3 years ago

What is 6 3/4+1 5/8=

lara31 [8.8K]

Answer:

Step-by-step explanation:

$6\frac{3}{4}+1\frac{5}{8}=6+1+\frac{3}{4}+\frac{5}{8}\\\\=7+\frac{3*2}{4*2}+\frac{5}{8}\\\\=7+\frac{6}{8}+\frac{5}{8}=7+\frac{6+5}{8}\\=7+\frac{11}{8}=7+1\frac{3}{8}=7+1+\frac{3}{8}\\\\=8\frac{3}{8}$

7 0

4 years ago

What is the angular velocity of a point that rotates through

ivann1987 [24]

Answer:

Option A

Step-by-step explanation:

Angular velocity of an object is defined by,

Angular velocity (w) = $\frac{\triangle \theta}{\triangle t}$

Here, Δθ = Change in angle of rotation

Δt = Duration or time

In this question Δθ = $\frac{7\pi }{2}$ radians and Δt = 24 seconds

Therefore, angular velocity = $\frac{\frac{7\pi }{2} }{24}$

= $\frac{7\pi }{48}$ radians per second

Option A is the answer.

6 0

3 years ago

Suppose you pick two cards from a deck of 52 playing cards. What is the probability that they are both queens?

photoshop1234 [79]

Answer:

0.45% probability that they are both queens.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes

The combinations formula is important in this problem:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes

You want 2 queens. Four cards are queens. I am going to call then A,B,C,D. A and B is the same outcome as B and A. That is, the order is not important, so this is why we use the combinations formula.

The number of desired outcomes is a combinations of 2 cards from a set of 4(queens). So

$D = C_{4,2} = \frac{4!}{2!(4-2)!} = 6$