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iogann1982 [59]
3 years ago
10

What is the distance between the points?

Mathematics
1 answer:
Luda [366]3 years ago
7 0

Answer:

\sqrt{113}

Step-by-step explanation:

To find the distance between the two points, apply the distance formula given as:

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Where,

(-4, -5) = (x_1, y_1)

(4, 2) = (x_2, y_2)

Plug in the values

d = \sqrt{(4 -(-4))^2 + (2 -(-5))^2}

d = \sqrt{(8)^2 + (7)^2}

d = \sqrt{64 + 49}

d = \sqrt{113}

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Which statement explains how you could use coordinate geometry to prove the opposite sides of a quadrilateral are parallel?
dimulka [17.4K]

Answer:Use the slope formula to prove the slopes of the opposite sides are the same. (A)

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3 years ago
Point M is the midpoint of segment QR. If QM = 16 + x and MR = 2(x + 2), find the length of QR.
hodyreva [135]
If <span>point M is the midpoint of segment QR then QM = MR</span>

16 + x = 2(x+2)
16 + x = 2x + 4
16 - 4 = 2x - x
12 = x

If x = 12 then
QR = 2*QM = 2(16+x) = 2*(16+12) = 2 * 28 = 56 
3 0
4 years ago
Solve for 9(p-4)=-18
statuscvo [17]
9(p - 4) = -18

Simplify our equation by multiplying the parenthesis out.

(9 × p) + (9 × -4) = -18

Simplify.

9p +  (-36) = -18

Get rid of parenthesis.

9p - 36 = -18

Now, since we're trying to isolate "p," we need to add 36 to both sides.

9p - 36 + 36 = -18 + 36

Simplify.

9p = 18

Divide both sides by 9.

9p ÷ 9 = 18 ÷ 9

Simplify.

p = 2

~Hope I helped! :)~
3 0
4 years ago
How long is it from 12:30 to 6:00
Llana [10]

5 hours and 30 minutes

5 0
3 years ago
Read 2 more answers
Which set of numbers is correctly ordered from greatest to least?
shepuryov [24]

Answer:

Step-by-step explanation:

Here is the corrected question and options:

Option 1:

7\frac{1}{3} , \frac{221}{30} , 7.36, 3.16\sqrt{2e}

Option 2:

7\frac{1}{3} , 7.36 , \frac{221}{30} , 3.16\sqrt{2e}

Option 3:

3.16\sqrt{2e}, 7.36 , \frac{221}{30} , 7\frac{1}{3}

Option 4:

3.16\sqrt{2e},  \frac{221}{30} , 7.36 , 7\frac{1}{3}

Solution:

Lets write each of the above given numbers in a simplified form:

7\frac{1}{3}

Simplify this by converting it into a decimal form:

This becomes:

(3*7+1) / 3 = (21 + 1) / 3 = 22/3 = 7.333333

So

7\frac{1}{3} = 7.3

\frac{221}{30}

Simplify this by converting it into a decimal form:

This becomes:

221/30 = 7.3666666667

So,

\frac{221}{30} = 7.367

7.36

This number comes with a bar sign on .36 which means that the number has a non terminating repeating decimal expansion as 7.3636363636...

So after rounding it off this becomes:

7.36

3.16\sqrt{2e}

Simplify this by converting it into a decimal form:

The value of e = 2.718

This becomes:

3.16 \sqrt{2*2.718}

= 3.16 (√5.436)

= 3.16 * 2.331523

=  7.3679949818

= 7.368

So

3.16\sqrt{2e} = 7.368

7.367995

Now we get the numbers in decimal form:

7\frac{1}{3} = 7.333333 = 7.3

\frac{221}{30} = 7.3666666667 = 7.367

7.36 = 7.3636363636

3.16\sqrt{2e} = 7.3679949818 = 7.368

Now lets order the numbers from greatest to least:

3.16\sqrt{2e}

\frac{221}{30}

7.36

7\frac{1}{3}

So the correct option is:

Option 4

3.16\sqrt{2e},  \frac{221}{30} , 7.36 , 7\frac{1}{3}  

7 0
3 years ago
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