U(-3,6), V(-8, 1), W(-3,1)
180° rotation about the origin

Answers

Answer 1
Answer:

Answer:

U'(3, -6), V'(8, -1), W'(3, -1)

Step-by-step explanation:

According to the 180°-rotation rule, you take the OPPOSITE of both the y-coordinate and x-coordinate:

Extended Rotation Rules

270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)

270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)

180°-rotation >> (x, y) → (-x, -y)

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What is the y-value of the vertex of the function f(x)=-(x-3)(x+11)?
0
-8

Answers

Answer:

49

Step-by-step explanation:

The given function is f(x)=-(x-3)(x+11).

We expand to get:

f(x)=-x^2-8x+33

We complete the square to obtain the vertex form as follows:

f(x)=-(x^2+8x)+33

f(x)=-(x^2+8x+16)--16+33

f(x)=-(x^2+8x+16)+16+33

f(x)=-(x+4)^2+49

This function is now of the form:

f(x)=a(x-h)+k, where (h,k)=(-4,49) is the vertex.

The y-value of the vertex is therefore 49

If the center of the circle were moved from the origin to thepoint (h, k) and point P at (x, y) remains on the edge of the
circle, which could represent the equation of the new
circle?
O (h + x)2 + (k + y)2 = 22
0 (x – n)2 + (y – k)2 = p2
O (k + x)2 + (h + y)2 = 22
0 (x – k)2 + (y – 5)2 = 12

Answers

The equation of the new circle will be,

⇒ (x - h)² + (y - k)² = r².

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Now, If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle.

Then, Equation of the new circle,

(x - h)² + (y - k)² = r²

Where center = (h, k)

radius = r

Hence, the equation of the new circle will be,

⇒ (x - h)² + (y - k)² = r².

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Answer:(x-h)^2+(y-k)^2=r^2

Step-by-step explanation:

I just answered it and it’s correct

Simplify the expression. 55−4⋅5+12 Enter your answer in the box.

Answers

The simplifiedexpression is 47.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the liketerms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To simplify this expression, we need to follow the order of operations, which is:

PEMDAS:

Parentheses, Exponents, Multiplication, Division (from left to right), and Addition and Subtraction (from left to right).

There are no parentheses or exponents in the expression, so we move on to multiplication and division.

We have 4 times 5, which is 20.

55 - 20 + 12

Now we can perform addition and subtraction.

We have 55 minus 20, which is 35.

35 + 12 = 47

Therefore,

The simplifiedexpression is 47.

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Answer:

The answer is 47.

Step-by-step explanation:

From PEMDAS we know that for this problem, we do the Multiplication first, then the Addition and Subtraction.

55-4*5+12 =

55-20+12 =

35 + 12 = 47

Use compatible numbers to estimate the following:
15.7 ÷ 3.2 =

Answers

5 because the answer 4.90625 is rounded to 5
15.7=1053.2=6So the answer is 35/2=17.5

the Town Council had a banquet as a fundraiser for new playground equipment they sold 250 tickets for a total of 5,625. The expenses for the banquet were 6,182.50. What were the results of the town council's banquet?

Answers

gain = 250(5625) = 1406250
cost = 6182.5
revenue = gain - cost = 1406250 - 6182.5
revenue = 1400067.5
the results of the town banquet is that the total revenue is 
1400067.5

Erin runs laps each day on a track that is 4/8 miles long. This week, she ran 4 4/8 miles on the track. How many laps did she run?

Answers

First, we're going to convert the mixed number into a/n improper fraction.
(4 × 8 ) + 4 = 36/8

Now we're going to divide 36/8 by 4/8 since 4/8 = 1 lap.
36 / 4 = 9.

That is how we get our answer, 9 laps.

Our final answer is 9 laps.

Hope this helps!~