what is the relationship between the coordinates of a point and the coordinates of its reflection across each axis?

1 answer:

8 0

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite. The reflection of the point (x, y) across the y-axis is the point (-x, y). When you reflect a point across the line y = x, the x-coordinate and the y-coordinate change places.

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What are the roots of the equation? x^2+24=−11x Enter your answers in the boxes.

docker41 [41]

The correct answers are:

x=-3 and x=-8.

Explanation:

We can first write this in standard form, ax²+bx+c=0. To do this, we will add 11x to both sides:
x²+24+11x=-11x+11x
x²+11x+24=0.

Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).

The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.

Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.

Solving the first equation:
x+3-3=0-3
x=-3.

Solving the second equation:
x+8-8=0-8
x=-8.

8 0

3 years ago

Read 2 more answers

(x-5)²+ (y+7)²= 16. If the circle is shifted 3 units right, and 9 units up, what is the equation of the new circle?

Vitek1552 [10]

(x-8)^2+(y-2)^2=16
Hope this helps

5 0

4 years ago

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Property taxes are based on the value of the property

Svetllana [295]

Based on the calculations, the average selling price for these properties is equal to $127,865.

<h3>How to determine the average selling price?</h3>

Mathematically, the average selling price for these properties would be calculated by using the following formula:

Average price = [F(x)]/n

Note: The total number of properties is equal to 5.

Substituting the given parameters into the formula, we have;

Average price = [118,450 + 126,500 + 128,000 + 130,425 + 135,950]/5

Average price = 639,325/5

Average price = $127,865.

Read more on average price here: brainly.com/question/14409137

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Complete Question:

Property taxes are based on the value of the property. city officials use the average selling price of similar properties to estimate the value. the selling prices of similar properties are listed below. $118,450 $126,500 $128,000 $130,425 $135,950. What is the average selling price?

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2 years ago

Simplify the expression: 3x2(x2 - 4x - 2) + (5x3 + 7x2 + 2x + 11) Show and explain your steps.

KengaRu [80]

Are they suppose to be squared ?

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4 years ago

Out of 515 seventh–grade students, 4/5 of them said they attended the school fundraiser. What percent of students did not attend

muminat

The answer would be A 8%

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3 years ago