Radii of congruent circles are equal.
a. True
b. False

Answers

Answer 1
Answer: A, true is your correct choice in this statement, reason being is because they are exactly the same size and shape. 

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1) point R has coordinates of (1,0) point S is symmetric to point R with respect to the line y=-2, what are the coordinates of point S2)point N has coordinates of (-1,2) point M is symmetric to point N with respect to the line y=X, what are the coordinates of point M

3) x^2=36
A. 9sqrt. 2 - 9sqrt. 2
B. 6 - 6
C. 4sqrt. 3 - 4sqrt. 3
D. 18 - 18

4) x^2=90
A. 10 sqrt. 3 - 10 sqrt. 3
B. 3 sqrt. 10 -3 sqrt. 10
C. 3 sqrt. 15- 3 sqrt. 15
D. 45 - 45

Answers

The right answer for the question that is being asked and shown above is that: "C. 4sqrt. 3 - 4sqrt. 3."

The right answer for the question that is being asked and shown above is that: "B. 3 sqrt. 10 -3 sqrt. 10." 

Find the next two terms in the following sequence.

13, -5, -35, -77,...

Answers

13;-5;-35;-77;...\n\na_n=19-6n^2\n\na_1=19-6\cdot1^2=19-6=13\n\na_2=19-6\cdot2^2=19-6\cdot4=19-24=-5\n\na_3=19-6\cdot3^2=19-6\cdot9=19-54=-35\n\na_4=19-6\cdot4^2=19-6\cdot16=19-96=-77\n\na_5=19-6\cdot5^2=19-6\cdot25=19-150=-131\n\na_6=19-6\cdot6^2=19-6\cdot36=19-216=-197

A helicopter hovers 40 ft above the ground. Then the helicopter climbs at a rate of 21 ft/s. Write a rule that represents the helicopter’s height h above the ground as a function of time t. What is the helicopter’s height after 45 s?

Answers

The initial height of the helicopter is 40 ft.

For every second (let's call time as t) he climbs upward, he goes 21 ft.

So we can write height of helicopter as 40+21t with respect to t.

In functional notation we can write the height (f(t)) of the helicopter at time (t) as:

f(t)=40+21t

To find the height of the helicopter after 45 seconds, we plug in 45 into the equation in place of t to get:

f(t)=40+21(45)=985

So after 45 seconds, the height of the helicopter is 985 ft.


ANSWER:

  • Equation modelling height of helicopter with respect to time: f(t)=40+21t
  • Height of helicopter after 45 seconds is 985 ft.
starts at 40
each second climbs 21 ft
40+21(number of second)

h=40+21t
at t=45
h=40+21(45)
h=40+945
h=985

height is 985
rule is h=21t+40 or h=40+21t

Calculate {dx x2
A. 1/x+c
B.-1/x+c
C.1/3x3+c
D.-1/3x3+c

Answers

when you integrate x^n the result is (x^n+1)/n+1 +C
where n is the old power so the result will be (C)

A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and eachsuccessive bounce is 69% of the previous bounce's height. Write a recursive formula
to represent the height of the nth bounce of the ball.

Answers

The value 2.75 goes in the first box, since it's the first term.

The expression 0.69*a_(n-1) goes in the second box. The second line says "to get the nth term, we multiply the previous term by 0.69"

The radius r of a circle can be written as a function of the area A with the following equation: What is the domain of this function? Explain why it makes sense in this context.

Answers

Answer:

Hence, the domain of the function is:

[0,∞)

Step-by-step explanation:

We know that area of circle is given by the function:

A=\pi r^2

The radius r of a circle can be written as a function of the area A with the following equation:

Now we can represent r in terms of A as:

r^2=(A)/(\pi)\n\nr=\sqrt{(A)/(\pi)}

Now as we know that for the square root term to exist:

\sqrt{(A)/(\pi)}\geq0

i.e. A\geq0

A=0 represents a point circle since it's area is zero.

Hence, the domain of the function is:

[0,∞)

[0,infinity) because you can not take the radius of a negative mumber.