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Fantom [35]
3 years ago
6

Can somebody help me with this pretest

Mathematics
1 answer:
Ann [662]3 years ago
8 0

Answer:

yes, I can help you do it.

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What is the slope of the line that passes through (-6,1) and (2,5)?
kow [346]
Slope is simply rise/run.
or
(vertical shift)/(horizontal shift)
therefore, the x value went from -6 to 2 which means it vertically shifted by 8.
and the y value went from 1 to 5, which means it horizontally shifted by 4.
the slope is 8/4.
or 2.
8 0
3 years ago
Read 2 more answers
Which of the following equations represents a line that is parallel to the line 3x - 2y = 12
sveticcg [70]

Answer:

Step-by-step explanation:

12=3x-2y

2y+12=3x

2y=3x-12

y=(3x-12)/2

y=mx+b

To be parallel to the line above our line must have the same slope or m. The above line has a slope of 3/2 or 1.5 so the parallel line will be

y=1.5x+b, using point (7,10) we can solve for the y intercept or b

10=1.5(7)+b

10=10.5+b

b=-0.5 so our line is

y=1.5x-0.5

5 0
2 years ago
During a lunch period, a survey is done about the students at LCHS with the following results:
Flauer [41]

Answer:

1 in 47.

Step-by-step explanation:

Add all of the outcomes (28 + 2 + 3 + 14).

You'll get 47.

Do not add the 1s.

There is your answer.

1 in 47.

4 0
3 years ago
Write the algebraic expression that matches each graph? PLS HELP I NEED HELP!!!
Vladimir [108]

Looks like y = |x| because the slopes of the lines are both 1

You shift it to the right making it |x-2| and you shift it down making y = -2

combine to get <em>y = |x - 2| - 2</em>.

8 0
3 years ago
Read 2 more answers
An orange juice company sells a can of frozen orange juice that measures 9.4 centimeters in height and 5.2 centimeters in diamet
drek231 [11]
<h2>Hello!</h2>

The answer is:

The third option:

2.7 times as much.

<h2>Why?</h2>

To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.

So, calculating we have:

Old can:

Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

Volume_{RightCylinder}=Volume_{Can}=\pi r^{2} h

Where,

r=radius=\frac{diameter}{2}\\h=height

We are given the old can dimensions:

radius=\frac{5.2cm}{2}=2.6cm\\\\height=9.4cm

So, calculating the volume, we have:

Volume_{Can}=\pi *2.6cm^{2} *9.4cm=199.7cm^{3}

We have that the volume of the old can is:

Volume_{Can}=199.7cm^{2}

New can:

We are given the new can dimensions, the diameter is increased but the height is the same, so:

radius=\frac{8.5cm}{2}=4.25cm\\\\height=9.4cm

Calculating we have:

Volume_{Can}=\pi *4.25cm^{2} *9.4cm=533.40cm^{3}

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

\frac{533.4cm^{3} }{199.7cm^{3}}=2.67=2.7

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:

2.7 times as much.

Have a nice day!

3 0
3 years ago
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