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3 years ago

Describe how the graph of y= x2 can be transformed to the graph of the given equation.

1 answer:

6 0

Assume you mean the transformation from x^2 to (x-10)^2 + 8

Then, you first shift x^2 10 units right, you will get (x-10)^2

And, shift (x-10)^2 8 units upward, you will get (x-10)^2 + 8

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Find X.

seropon [69]

Answer:

x = 118 degrees approximately

Step-by-step explanation:

Here, we want to get the measure of the angle marked x

We shall use the side facing it and apply the cosine rule

The side facing the angle measures 90

Thus, we have it that;

90^2 = 55^2 + 50^2 - 2(50)(55) cos X

2575 = - -5,500 cos X

X = cos^-1(-2575/5,500)

X = 118 degrees approximately

6 0

3 years ago

Read 2 more answers

Prove the following statement.

gayaneshka [121]

Answer:

You can prove this statement as follows:

Step-by-step explanation:

An odd integer is a number of the form $2k+1$ where $k\in \mathbb{Z}$ . Consider the following cases.

Case 1. If $k$ is even we have: $(2k+1)^{2}=(2(2s)+1)^{2}=(4s+1)^{2}=16s^2+8s+1=8(2s^2+s)+1$ .

If we denote by $m=2s^2+2$ we have that $(2k+1)^{2}=8m+1$ .

Case 2. if $k$ is odd we have: $(2k+1)^{2}=(2(2s+1)+1)^{2}=(4s+3)^{2}=16s^2+24s+9=16s^{2}+24s+8+1=8(2s^{2}+3s+1)+1$ .

If we denote by $m=2s^{2}+24s+1$ we have that $(2k+1)^{2}=8m+1$

This result says that the remainder when we divide the square of any odd integer by 8 is 1.

6 0

3 years ago

Someone please tell me what to do

kifflom [539]

For this, we need to find the area of the larger rectangle (The room) and subtract from that the area of the smaller, shaded rectangle (The rug).
A=LW (L=Length, W=Width, A=Area)

The larger rectangle first:
A=(15)(10)
A=150 feet squared

Now the Rug:
A=(12)(7)
A=84 feet squared

Now to find the area that is NOT covered by the rug, we subtract:
150-84
= 66 feet squared will NOT be covered by the rug.

Hope this Helps!
-Sinnamin

4 0

3 years ago

One gallon of gasoline in buffalo, New York costs $2.29. In Toronto, Canada, one liter of gas costs $0.91. There are 3.8 liters

Solnce55 [7]

<u>Answer:</u>

The cost of one gallon of gas in Toronto, Canada is $3.458.

<u>Solution: </u>

Given, One gallon of gasoline in buffalo, New York costs $2.29.

In Toronto, Canada, one liter of gas costs $0.91.

There are 3.8 liters in one gallon.

We have to find how much does one gallon of gas cost in Toronto?

Now, cost of one gallon of gas in Toronto = cost of one litre of gas in Toronto x 3.8 liters for 1 gallon.

Cost of one gallon of gas = 0.91 x 3.8 = 3.458

Hence, the cost of one gallon of gas in Toronto, Canada is $3.458.

3 0

3 years ago

An elevator was stopped at the 18th floor. Penny got in and went 14 floors down and got off. What floor did she get off at?

Papessa [141]

If the elevator stopped at the 18th floor and she got in and went 14 floors down and got off, she got off on the 4th floor

5 0

2 years ago