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3 years ago

POSSIBLE POINTS: 10

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

5 0

Answer:

5 + 3t

Step-by-step explanation:

t = amount Tanya has

Lucy = $5 more than 3x of what Tanya has

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irina [24]

You have to find the average of 38 and 42 (witch is 40) and then set it to a ratio of 40:100 multiply both sides by 8.5 and we get 340

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4 years ago

Find the distance from point A(−1, 7) to the line y=3x. Round your answer to the nearest tenth.

bearhunter [10]

Answer:

The distance from the point to the line is approximately 3.2 units

Step-by-step explanation:

Distance From a Point to a Line

Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.

If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is

$\displaystyle d= \frac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}$

The line is given by the equation:

y=3x. We need to transform it into the specified form.

Subtracting 3x:

y - 3x = 0

Comparing with the general form of the line, we have

a=-3, b=1, c=0

The point (xo,yo) is (-1,7), thus:

$\displaystyle d= \frac{|-3\cdot (-1)+1\cdot 7+0|}{\sqrt{(-3)^2+1^2}}$

$\displaystyle d= \frac{|3+7|}{\sqrt{9+1}}$

$\displaystyle d= \frac{|10|}{\sqrt{10}}$

$\displaystyle d= \frac{10}{\sqrt{10}}$

$d\approx 3.2$

The distance from the point to the line is approximately 3.2 units

4 0

3 years ago

Someone answer and do t try to take my points please. What do the Greeks and Romans have in common (similarities) in terms of th

stellarik [79]

Answer:

they are both polytheistic religions.

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3 years ago

QUICK!!!!!!!!!!!!!!!!!!!! What relationships do you notice about the following volumes? 43.75, 32, and 40.5

vovangra [49]

One is that they are all real numbers, or rational numbers.

8 0

4 years ago

Written Response: Sally believes that 1/2% is equivalent to 50%. Is she correct? Why or why not?

Afina-wow [57]

Answer:

She is correct.

Step-by-step explanation:

1/2 and 50% is the same thing

50% is 1/2 of 100

6 0

3 years ago

Read 2 more answers