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3 years ago

Write the equation of the line that passes through the given points:

Mathematics

1 answer:

Airida [17]3 years ago

4 0

Answer:

y+1=5/2(x+2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-6-(-1))/(-4-(-2))

m=(-6+1)/(-4+2)

m=-5/-2

m=5/2

y-y1=m(x-x1)

y-(-1)=5/2(x-(-2))

y+1=5/2(x+2)

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3√12•√6<br><br>please show a step by step explanation

Oduvanchick [21]

Answer: $18\sqrt{2}\\\\$

This is the same as saying 18*sqrt(2) or you could say 18√2

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Explanation:

We'll be using this square root rule: $\sqrt{A}*\sqrt{B} = \sqrt{A*B}$

So we could have this as our steps:

$3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\$

Therefore, $3\sqrt{12}*\sqrt{6} = 18\sqrt{2}$

The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.

5 0

2 years ago

NEED HELP ASAP 20POINTS The energy (and cost) needed to operate an air conditioner is proportional to the volume of a space that

insens350 [35]

Answer:

The daily cost of cooling the large warehouse with the same model of air conditioner is $\$1,953$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem

The scale factor is equal to 2.5

The scale factor elevated to the cube is $2.5^{3} =15.625$

To estimate the daily cost of cooling the large warehouse with the same model of air conditioner, multiply $125.00 by the scale factor elevated to the cube

$\$125(15.625)=\$1,953$

4 0

2 years ago

7x-4y=20 for y when x=3

viktelen [127]

I think it is y=-.25
7*3 - 4y = 20
21 - 4y = 20
subtract 21 from each side
- 4y = - 1
divide each side by - 4
y= -.25

6 0

3 years ago

Read 2 more answers

What is the equation of a line that is parallel to y=47x−3 and passes through (14, 4)?

Shtirlitz [24]

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where

m = slope

c = intercept

The equation of the given line is

y = 47x - 3

Comparing with the slope intercept equation, m = 47

If two lines are parallel, it means that they have equal slope. This means that the slope of the line passing through (14, 4) is 47

We would determine the intercept, c by substituting m= 47, x = 14 and y = 4 into y = mx + c. It becomes

4 = 47× 14 + c

4 = 658 + c

c = 4 - 658 = - 654

The equation becomes

y = 47x - 654

6 0

3 years ago

Is 4.23 Bigger than 4.3

Mila [183]

Bo, 4.23 is not bigger than 4.3

3 0

2 years ago

Read 2 more answers