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3 years ago

Identify a real live situation where opposite qualities combine to make zero

1 answer:

4 0

I have one cookie. A minute later I want to eat a cookie. That's one cookie plus a negative one cookie. At the end, I have no cookie left.

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What is the length side of a triangle that has vertices at (-5, -1), (-5, 5), and (3, -1)?

Rasek [7]

The side lengths of triangle are 6 units, 8 units and 10 units.

SOLUTION:

Given that, we have to find what is the length side of a triangle that has vertices at (-5, -1), (-5, 5), and (3, -1)

We know that, distance between two points $P\left(x_{1}, y_{1}\right) \text { and } Q\left(x_{2}, y_{2}\right)$ is given by

$P Q=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Now,

$\begin{array}{l}{\text { Distance between }(-5,-1) \text { and }(-5,5)=\sqrt{(-5-(-5))^{2}+(5-(-1))^{2}}} \\\\ {\qquad \begin{array}{l}{=\sqrt{(-5-(-5))^{2}+(5-(-1))^{2}}} \\\\ {=\sqrt{(0)^{2}+(5+1)^{2}}=\sqrt{(6)^{2}}=6} \\\\ {=\sqrt{(-5)^{2}+(5+1)^{2}+(5-(-1))^{2}}} \\\\ {=\sqrt{(-8)^{2}+(5+1)^{2}}=\sqrt{64+36}=\sqrt{100}=10} \\\\ {=\sqrt{(3-1)^{2}+(-1-(-1))^{2}}} \\\\ {=\sqrt{(5+3)^{2}+(0)^{2}}=\sqrt{(8)^{2}}=8}\end{array}}\end{array}$

8 0

3 years ago

the value of n is both 5 times as much as the value of m and 36 more than the value of m. what are the values of n and m? explai

xenn [34]

We have to find the values of m and n. We know that the value of n is 5 times as much as the value of m : n = 5 m. Also n is 36 more than the value of m : n = m + 36. This is a system of equations. Of we substitute n = 5 m into the second equation: 5 m = m + 36; 5 m - m = 36; 4 m = 36; m = 36 : 4; m = 9. Finally: n = 5 * 9 ; n = 45. Answer: The values are n = 45 and m = 9.

5 0

3 years ago

Help me plz, explain it

Darya [45]

The perimeter of a rectangle is found by multiplying the length by 2 and the width by 2 and adding them together.

P = 2L + 2W

Filling in the information given we can find the width:

16.8 = 2(3.6) + 2W

16.8 = 7.2 + 2W

2w = 16.8 - 7.2

2w = 9.6

w = 9.6 / 2

w = 4.8 in.

6 0

3 years ago

Read 2 more answers

Find the value of x that makes m ∥ n .

Alla [95]

Answer:

Step-by-step explanation:

(2x+15)=135 They're corresponding angles so they equal/congruent

-15 -15 Subtract 15 on both sides since you're looking for x

2x = 120 Bring down the remains and subtract 135 from 15

2 2 Add 2 on both sides

x= 60 Divide.

3 0

2 years ago

a set if cards includes 20 yellow cards, 16 green cards, and 24 blue cards. what is the probability that a blue card is chosen a

devlian [24]

Answer:

2/5

Step-by-step explanation:

Probability is the chance that a certain event occurs out of the total events.

Here, the event of "choosing a blue card". The total events are just "choosing any card".

There are 24 blue cards and 24 + 20 + 16 = 60 cards in total. So, we just take 24 and divide it by 60: $\frac{24}{60}$ . Simplifying, we get:

$\frac{24}{60} = \frac{2}{5}$

Thus, the answer is 2/5.

Hope this helps!

4 0

3 years ago