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3 years ago

This is 15 points !!!!!!!

Mathematics

2 answers:

lorasvet [3.4K]3 years ago

8 0

Answer:Its relfection

Step-by-step explanation: I have the same work and its a mirror image of the image

Ivenika [448]3 years ago

4 0

Hey there!

It’s a reflection because the two are going opposite ways. This is similar to the reflection you see in the mirror, your shirt probably looks backward and so does something you might be holding. It will go the opposite way, and that’s why when you look in the mirror it’s called a reflection- the flags are opposite so it’s a reflection.

Hope this helps!

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Lily and Sabrina often make some extra pocket money by painting garden sheds. Lily can paint a shed in 5 hours working alone, wh

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2 years ago

Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.

Lelechka [254]

Answer:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}} = 32$

Step-by-step explanation:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}$

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

$\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32$

So, $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4}$

Using the exponent rule: $a^m.a^n=a^{m+n}$

We have:

$2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}$

We also know that: $a^{-m}=\frac{1}{a^m}$

Using this rule:

$2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}$

So, $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2$

Solving:

$(-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}$

So, $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}}$

We know that: $a^{-m}=\frac{1}{a^m}$

$\frac{2}{2^{-4}}\\=2\times 2^4\\=2(16)\\=32$

So, $\frac{2}{2^{-4}} = 32$

3 0

3 years ago

Determine the domain and range of the given function

Neporo4naja [7]

Answer:

List all of the solutions.

−

Step-by-step explanation:

3 0

3 years ago

What is the distance between p(-300, 200) and Q(500, 400)?

alina1380 [7]

Answer:

200 √17

Step-by-step explanation:

distance between two points (x,y) and (x',y')

D² = (x' - x)² + (y' - y)²

D² = (500 - (-300))² + (400 - 200)² = 640000 + 40000 = 680000

D = √680000 = √4 x 17 x 10000 = 200 √17

7 0

3 years ago

After 5.75 hours, Kyler had finished painting 62.5% of his house. He needs to paint a total of 4,000 square feet on his house. A

MissTica

First, we are going to find the painted area of his house. We know that the total area he needs to paint is 4000 square meters, so 4000 is the area of this house. Now, to find the 62.5% of that area, we are going to multiply it by $\frac{62.5}{100}$ :
Painted area= $(4000)(\frac{62.5}{100})=2500$

Now, to find <span>rate, in square feet per hour, we are going to divide the painted area by the number of hours:
Rate=</span> $\frac{2500}{5.75} =434.78$

We can conclude that Kyler paints at a rate of 434.78 square feet per hour.

8 0

3 years ago