What is the radius of the circle whose equation is x^2 + y^2 = 8

Answers

Answer 1

Answer: √8

for the equations of circles: x²+y²= (radius)²

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The circles below is centered at the point (4,3) and has a radius of length 8. Whats its equation?
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Karla has a younge sister and an older brother.Her younger sister is 3 years more than a half of karla's age . Her older brother is 7 year lees than twice karla's age. If the sum of all 3 of their is 38, how old is kayla.

Answers

She is twelve years old

Scientists who study Atlantic salmon have found that the oxygen consumption of a yearling salmon O is given by the function O=100. 3^(3s/5) , where s is the speed that the fish is traveling in feet per second A) what is the oxygen consumption of a fish that is traveling at 5 feet per second ?
B) If a fish has traveled 4.2 miles in an hour. What is its oxygen consumption

Answers

$O=100\cdot3^{\tfrac{3\cdot5}{5}}\nO=100\cdot3^3\nO=100\cdot27\nO=2700\n\n4.2 \text{ mph}\approx6.16\frac{\text{ft}}{\text{s}}\nO=100\cdot3^{\tfrac{3\cdot6.16}{5}}\nO=100\cdot3^(3.7)\nO=100\cdot58.3\nO=5830$

Evaluate (2 – 5i)(p + q)i when p = 2 and q = 5ia. 29i
b. 29i-20
c.-21i
d.29

Answers

Answer:

The value of the (2 – 5i)(p + q)i is 29i .

Option (a) is correct .

Step-by-step explanation:

As the expression given in the question.

= (2 - 5i) (p + q)i

Simplify the above

= (2 - 5i) (pi + qi)

= 2pi + 2qi - 5pi²- 5qi²

As i² = -1

Put in the above

= 2pi + 2qi + 5p +5q

= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i

= 4i + 10i² + 10 + 25i

As i² = -1

= 4i - 10 + 10 + 25i

= 29i

Thus the value of the (2 – 5i)(p + q)i is 29i .

Option (a) is correct .

29i (A.) hope this helps

Montel sold 13 popcorn buckets and 13 fruit baskets for a fundraiser. The fruit baskets cost $20.75 each. If Montel raised a total of $468.00, how much did each popcorn bucket cost?

Answers

$13\cdot\$20.75=\$269.75-fruit\ baskets\n\n\$468.00-\$269.75=\$198.25-popcorn\ busket\n\n\$198.25:13=\$15.25-cost\ each\ popcorn\ bucket$

A triangle has sides of lengths 10 24 and 26 is it a right triangle explain?

Answers

Yes. For right triangles, the sum of the squares of the shorter sides is equal to the square of the longer side. Thus, this is a right triangle if 10^2+24^2=26^2. Expanding these squares, we have 100+576=676, which is true. Thus, the triangle is right.

c² = a² + b²
26² = 10² + 24²
676 = 100 + 576
676 = 676

It is a right triangle because it shows that it has the same answer of the Pythagorean equation.

The work of a student to solve a set of equations is shown:Equation 1: m = 8 + 2n
Equation 2: 3m = 4 + 4n

Step 1:
−3(m) = −3(8 + 2n) [Equation 1 is multiplied by −3.]
3m = 4 + 4n [Equation 2]

Step 2:
−3m = −24 − 6n [Equation 1 in Step 1 is simplified.]
3m = 4 + 4n [Equation 2]

Step 3:
−3m + 3m = −24 − 6n + 4n [Equations in Step 2 are added.]

Step 4:
0 = −24 − 2n

Step 5:
n = −12

In which step did the student first make an error?

Step 4

Step 3

Step 2

Step 1

Answers

The student first makes an error in the Step 3 where he addsequations in Step 2 to use the elimination method.

What is the elimination method?

To create an equation in one variable using the elimination method, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

How to solve this problem?

Notice that the student uses the elimination method to solve the equations. In Step 1, he makes the coefficients of m equal in both equations. In Step 2, he simplifies the previous step. In Step 3, he wants to add both equations to create an equation in one variable. But He forgot to add 4 of Equation 2. It's a mistake.

Therefore the student first makes an error in the Step 3 where he addsequations in Step 2 to use the elimination method.

Know more about the elimination method here -

brainly.com/question/3472533

#SPJ2

3. this is because you added un equal amounts to both sides.

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