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3 years ago

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6. The following graph can be described using an equation of the form y = A cos(x)+C. Determine the

1 answer:

liraira [26]3 years ago

3 0

Answer:

A = 7 and C = 2

Step-by-step explanation:

the constant C represents the average value of the wave. To find its value, we need to calculate the average between the y-coordinates of the highest and the lowest point.

The highest point has y = 9, and the lowest point has y = -5, so we have:

C = (9 - 5)/2 = 4/2 = 2

The value of A represents the increase in the amplitude of the wave.

For A = 1, the amplitude is 2 (lowest point = average - 1, highest point = average + 1)

So, in this case, the amplitude is the difference in the y-coordinates of the highest and the lowest point, and A is equal half the amplitude:

A = (9 - (-5)) / 2 = (9 + 5)/2 = 14/2 = 7

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What is the area of the circle if DF=20 in.

crimeas [40]

We know that

DF is the diameter of the circle
so
radius r=DF/2----->20/2-----> r=10 in

area of the circle=pi*r²------> pi*10²-----> 100*pi in²-----> 314 in²

the answer is

100*pi in² or 314 in²

4 0

3 years ago

If the length of segment AC equals 58, what is the length of the midsegment DE

Delicious77 [7]

Answer:

B) 29

Step-by-step explanation:

Given:

AC= 58

Point D and E are the midpoints of side AB and BC Respectively.

Solution:

According to Midpoint theorem which states:

"The segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side."

$\therefore$ DE= $\frac{1}{2}$ AC

DE= $\frac{58}{2} =29$

Hence length of DE is 29.

4 0

3 years ago

Read 2 more answers

What is y=4x^2-9x+1 in vertex form

Anna11 [10]

Answer:

$y = 4 \left(x - \dfrac{9}{8} \right)^2 - \dfrac{65}{16}$

Step-by-step explanation:

$y = 4x^2 - 9x + 1$

You need to complete the square on the right side.

$y = (4x^2 - 9x) + 1$

$y = 4(x^2 - \dfrac{9}{4}x) + 1$

$y = 4 \left( x^2 - \dfrac{9}{4}x + \left( \dfrac{9}{8} \right)^2 \right) + 1 - 4\left( \dfrac{9}{8} \right)^2$

$y = 4 \left(x - \dfrac{9}{8} \right)^2 + 1 - 4 \left( \dfrac{81}{64} \right)$

$y = 4 \left(x - \dfrac{9}{8} \right)^2 + 1 - \dfrac{81}{16}$

$y = 4 \left(x - \dfrac{9}{8} \right)^2 + \dfrac{16}{16} - \dfrac{81}{16}$

$y = 4 \left(x - \dfrac{9}{8} \right)^2 - \dfrac{65}{16}$

3 0

3 years ago

Zhi needs new flooring for her two laundry rooms.each room is 4.5 feet long and 4.5 feet wide . How much are will the flooring n

klio [65]

Answer: 40.5 square feet

Step-by-step explanation:

Given : Zhi needs new flooring for her two laundry rooms.each room is 4.5 feet long and 4.5 feet wide .

We assume that the room is rectangular in shape .

Area of rectangle = Length x width

Then area of one laundry room = 4.5 feet x 4.5 feet = 20.25 square feet

Area of two laundry room = 2 x 20.25 = 40.5 square feet.

Hence, The flooring need to cover a total of <u>40.5 square feet</u> of area.

7 0

3 years ago

Read 2 more answers

Please help me answer these e questions pleasesssss

Korvikt [17]

Answer:

4) 8^14

7) h^7

10) 29^8 over 10^8

Step-by-step explanation:

If the numbers have the same base, just add their exponents together. So 10 plus 4 is 14.

Same thing for the second problem, since you have the same base, just add the exponents together. 6 plus 1 is 7

The bases are the same so just add the exponents, 7 plus one is 8.

(-2.9)^8

Convert it into a fraction: -(29/10)^8

Raise the fraction to the power (8) and the numerator and denominator to that power: 29^8/10^8

Hope this helps :)

8 0

3 years ago

Read 2 more answers