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Drupady [299]
2 years ago
15

Find the slope of a line parallel to 3x – y = 1.

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
4 0

Answer:

m =3

Step-by-step explanation:

3x – y = 1

First put the line in slope intercept form

y = mx+b where m is the slope and b is the y intercept

-y = -3x+1

y = 3x-1

The slope is 3

We want a line parallel, which means the lines have the same slope

m =3

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An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

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

Explanation:

We have a triangle with these side lengths:

  • a = 10
  • b = 16
  • c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need b^2 < a^2+c^2 to be true in order for an acute triangle to happen.

So,

b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0
2 years ago
Which of these describes the function graphed below
Allisa [31]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
Please help!!!!!!!!!!!!!!
vfiekz [6]

Answer:

Step-by-step explanation:

A p - 4 is the answer to your question

8 0
3 years ago
Read 2 more answers
PLZ HELP AND IF U TAKE MY POINTS I WILL REPORT U AN WHO EVER HELPS I WIL GIVE BRAINIEST
Sphinxa [80]

Answer:

the second one I can't give a explanation cause my wrist is broken so it's harder to type hope this helps

6 0
2 years ago
Please help I only have an hour. ​
Goshia [24]

Answer:

Slope (m) = \frac{y}{x} = \frac{2}{3} = 0.66666666666667

Step-by-step explanation:

0 = arctan (\frac{y}{x}) = 33.69006752598°

X = 4 – 1 = 3

Y = 4 – 2 = 2

Distance (d) = \sqrt{x^2+y^2}= \sqrt{13} =3.605551275464

Equation of the line:

y = 0.66666666666667x + 1.3333333333333

or

y=\frac{2}{3}x+\frac{4}{3}

When x=0, y = 1.3333333333333

When y=0, x = -2

4 0
2 years ago
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