Suppose that x and y are real numbers, and x^2 + y^2 = 4. Find all ordered pairs (x, y) that satisfy this equation. A) (2, 0) B) (0, 2) C) (-2, 0) D) (0, -2)

Answers

Answer 1
Answer:

Answer:

All of them satisfy the equation.

Step-by-step explanation:

x^2 + y^2 = 4

2^2 + 0^2 = 4 True

0^2 + -2^2 = 4 True

-2^2 + 0^2 = 4 True

0^2 + -2^2 = 4 True


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If the area of ABC is 20 cm2, what is the area of PQR? Show your work.

Answers

Since the triangles are similar, the first thing to do is find the scale factor.
 We have then:
 k = 6/4 = 3/2
 Then, the area will be given by:
 A '= k ^ 2 * A
 Substituting values:
 A '= ((3/2) ^ 2) * (20)
 A '= 45 cm ^ 2
 Answer:
 The area of PQR is:
 A '= 45 cm ^ 2

Answer:

Area of ΔPQR = 45 cm²

Step-by-step explanation:

From the given figure we can see that triangle ABC and triangle PQR are similar triangles.

If two triangles are similar the the ratio of area of two triangle is equal to the square of ratio of corresponding sides

To find the area of triangle PQR

Ar(ABC) = 20, AB = 4 cm and PQ =6 cm

From figure we can write,

Ar(ABC)/ar(PQR) = (AB/PQ)²

20/ar(PQR) = (4/6)²

20/ar(PQR) = 16/36

ar(PQR) = (36 x 20)/16 = 45 cm²

Evan walked 14 miles in 7 hours. What was his walking rate in hours per mile?

Answers

Answer:

.5 hours per mile

Step-by-step explanation:

We want hours per mile

7 hours / 14 miles

1/2 hours per mile

.5 hours per mile

Final answer:

Evan's walking rate is 0.5 hours per mile, meaning it takes him half an hour to walk one mile.

Explanation:

The question is asking for Evan's walking rate in hours per mile. To find this, you need to divide the total time taken by the total distance covered. Therefore, the walking rate would be 7 hours divided by 14 miles.

To calculate, divide 7 by 14, which equates to 0.5. So, Evan's walking rate is "0.5 hours per mile." This means it takes him half an hour to walk one mile.

Learn more about Walking Rate here:

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Pls help this is due soon If the discriminate of a quadratic equation is negative___.a.there will be 2 solutions either of which may be positive or negative

b.there will be only one solution

c.there will be 2 solutions but they will both be negative

d.there will be 2 solutions but they will both be positive
the
e.none of these​

Answers

Answer:

e. none of these

Step-by-step explanation:

The correct answer is e. none of these because a negative discriminant means that there will be no solutions at all!

52.5% of what number is 25.83?

Answers

1. Do a proportion
25.83/x times 52.5/100
2. Do 25.83 times 100 which equals 2,583
3. Do 2,583 divided by 52.5 which equals 49.2
4. Your answer is 49.2
52.5 × 25.83 /100 = 13.56

In the parking lot at Central, there are 21 blue cars and 75 cars total. What is the ratio of blue cars to cars that are not blue in simplest form?

Answers

Answer: The ratio of blue cars to cars that are not blue in simplest form = 7:18

Step-by-step explanation:

Given: There are 21 blue cars and 75 cars total.

Then, number of cars that are not blue = 75 -21 = 54

Now, the ratio of blue cars to cars that are not blue = (21)/(54)=(7)/(18) [Divide numerator and denominator by 3.]

Hence, the ratio of blue cars to cars that are not blue in simplest form = 7:18

(A) this relation is a function

(B) this relation is not a function

Answers

Answer:

(b) this relation is not a function because this relation is a one to many ,functions are only many to one and one to one