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stich3 [128]
2 years ago
13

Which expression is equivalent to StartRoot negative 80 EndRoot? Negative 4 StartRoot 5 EndRoot Negative 4 StartRoot 5 EndRoot i

4 StartRoot 5 EndRoot i 4 StartRoot 5 EndRoot
or

Which expression is equivalent to √-80


A. -4√5

B. -4√5i

C. 4√5i

D. 4√5
Mathematics
2 answers:
fomenos2 years ago
8 1
The answer is D. 4√5
hichkok12 [17]2 years ago
4 1

Answer:

C. 4√5i

Step-by-step explanation:

on edge

please vote brainliest i have never gotten it before

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1. What is the correct reason for statement #3?
r-ruslan [8.4K]

Answer:

1) B. Combine-like terms

2) A. Subtraction Property of Equality

3)D. Division Property of Equality

Step-by-step explanation:

8 0
3 years ago
1. A sine function has the following key features:
andrew11 [14]
Problem 1

See the attached image (figure 1)

16pi seems like a typo. I'm going to assume that it's a fraction and it is 1/(6pi)
f = 1/(6pi) = frequency
T = 1/f = 1/(1/(6pi)) = 6pi
Amplitude = 2
a = 2
b = 2pi/T = 2pi/(6pi) = 1/3
Midline: y = 3
d = 3

The function is
y = a*sin(bx-c)+d
y = 2*sin(1/3*x-0)+3
y = 2*sin(x/3)+3

===============================================

Problem 2

See the attached image (figure 2) 

T = 12 is the period
a = 4 is the amplitude
b = 2pi/T = 2pi/12 = pi/6
y = 1 is the midline so d = 1
The y intercept is (0,1) which is the midline, which indicates no phase shifts have occurred so c = 0

The function is
y = a*sin(bx-c)+d
y = 4*sin((pi/6)x-0)+1
y = 4*sin((pi/6)x)+1

===============================================

Problem 3

See the attached image (figure 3)

Period = 4pi
T = 4pi
b = 2pi/T = 2pi/(4pi) = 1/2 = 0.5
Amplitude = 2
a = 2
Midline: y = 3
d = 3
y-intercept: (0,3)
The function is a reflection of its parent function over the x-axis, so 'a' is negative meaning a = -2 instead of a = 2

The function is
y = a*sin(bx-c)+d
y = -2*sin(0.5x-0)+3
y = -2*sin(0.5x)+3

===============================================

Problem 4

See the attached image (figure 4)

a = 10 which is half of the distance between the highest and lowest points
T = 8 is the period
b = 2pi/T = 2pi/8 = pi/4
c = -pi/2 is the phase shift since its really a cosine graph
d = 0 is the midline

The function is
y = a*sin(bx-c)+d
y = 10*sin((pi/4)*x+(-pi/2))+0
y = 10*sin((pi/4)*x+pi/2)

===============================================

Problem 5

See the attached image (figure 5)

a = 2 is the amplitude since it bobs up and down this distance from the midline
T = 8 seconds is the period (double that of the time it takes for it to go from the highest to the lowest point)
b = 2pi/T = 2pi/8 = pi/4
c = 0 is the phase shift as the buoy starts at normal depth of 20 meters
d = 20 is the midline

The function is
y = a*sin(bx-c)+d
y = 2*sin((pi/4)x-0)+20
y = 2*sin((pi/4)x)+20

===============================================

8 0
2 years ago
Read 2 more answers
Which transformations preserve segment length?
jekas [21]
All except dilation

Mark brainliest please
3 0
2 years ago
Hurry please I'm timed.
mote1985 [20]
The answer is A.

This is saying 5E-9/2E4, so it equals 2.5E-13.
7 0
3 years ago
colin has an ice cube tray with 12 identical compartments. Each compartment is a prism that is 4 cm. long, 3 cm. wide, and 3 cm.
a_sh-v [17]
Volume = length x width x height
V = 4 x 3 x 3
4 x 3 = 12
V = 12 x 3
V = 36 cubic cm.
1 cubic cm. = 1 ml.
36 cubic cm. x 12 compartments = 432 cubic cm.
432 cubic cm. = 432 cubic ml.
5 0
3 years ago
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