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TiliK225 [7]
3 years ago
6

Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5. There might be more than one answe

r.
a) 6x + 2y = 12
b) -3x + y = 8
c) 3y = 9x
d) y=-1/3x
Mathematics
1 answer:
o-na [289]3 years ago
6 0
Parallel means they have the same slope.
The given equation has a slope of 3. Slope intercept equation: y = mx + b
a. 6x + 2y = 12
Subtract 6x from both sides.
2y = - 6x + 12
Divide both sides by 2.
y = -3x + 6 Not parallel

b. -3x + y = 8
Add 3x to both sides.
y = 3x + 8 Parallel

c. 3y = 9x
Divide both sides by 3
y = 3x Parallel

d. y = -1/3x Not parallel

B and C are parallel
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A right rectangular prism has a length of 4 1/2 feet, a width of 6 1/2 feet, and a height of 8 feet What is the volume of the pr
lilavasa [31]

Alright, lets get started.

The formula of volume for a right rectangular prism = l*w*h

where l denotes length

w denotes width

h denotes height of the prism

Hence the volume of the prism = 4\frac{1}{2}*6\frac{1}{2}*8

So, the volume will be = \frac{9}{2}*\frac{13}{2} *8

So the volume will be = 4.5*6.5*8= 234 cubic feet

So the answer is 234 cubic feet : Answer

Hope it will help :)

3 0
3 years ago
Read 2 more answers
What is the percent equivalent of 11.21? Select one: A. 112.1% B. 0.1121% C. 1,121% D. 11.21%
pogonyaev
It would be 11.21 percent, hope it helps.
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=y%20%3C%20x%20-%203" id="TexFormula1" title="y &lt; x - 3" alt="y &lt; x - 3" align="absmiddle
Karo-lina-s [1.5K]
Is that a question or answer? If it's a question that's the right answer.
3 0
3 years ago
HURRY PLEASE
Firlakuza [10]
0.56 as a percent is 56%.

Multiply 0.56 times 100 to get 56%.
7 0
3 years ago
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Suppose taxi fare from Logan Airport to downtown Boston is known to be normally distributed with a standard deviation of $2.50.
Mariulka [41]

Answer:

95% Confidence interval for taxi fare:  ($20.5,$24.2)

Step-by-step explanation:

We are given the following data set: for fares:

$22.10, $23.25, $21.35, $24.50, $21.90, $20.75, and $22.65

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{156.5}{7} = 22.35

95% Confidence interval:

\bar{x} \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

22.35 \pm 1.96(\frac{2.5}{\sqrt{7}} ) = 22.35 \pm 1.85 = (20.5,24.2)

6 0
3 years ago
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