#11. a13+t=3=16 b16 in all
#12.8+8=16
#13.10/2-2=3
Using the distance formula;
![|d|=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%7Cd%7C%3D%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
From the points given:
x₁=-1 y₁=-2 x₂=8 y₂=10
substitute the values into the formula;
![|d|=\sqrt[]{(8+1)^2+(10+2)^2}](https://tex.z-dn.net/?f=%7Cd%7C%3D%5Csqrt%5B%5D%7B%288%2B1%29%5E2%2B%2810%2B2%29%5E2%7D)
![=\sqrt[]{9^2+12^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B%5D%7B9%5E2%2B12%5E2%7D)
![=\sqrt[]{81+144}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B%5D%7B81%2B144%7D)
![=\sqrt[]{225}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B%5D%7B225%7D)
The distance is 15 units.
Answer:
Terminating decimals: these have a finite number of digits after the decimal point. Recurring/repeating decimals: these have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely.
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Answer:
35,136 ml
Step-by-step explanation:
The tank holds 55,000ml. Mr. Clark poured some gas into 3 container, and at the end there the tank had 19,864. To find how much gas was poured out of the tank it is the same as asking how much gas he poured in the 3 containers, all together. We have to find the difference, subtraction:
55,000 - 19,864 = 35,136ml were poured in the 3 containers or amount of gas poured out of the tank.
Answer:
<em>x = 62°, y = 103°</em>
Step-by-step explanation:
<u>Supplementary Angles</u>
Two angles are called <em>supplementary</em> when their measures add up to 180 degrees.
The image shows two pairs of supplementary angles. We have to find the value of the unknown variable.
The first drawing shows supplementary angles x and 118°. They must satisfy the equation:
x + 118° = 180°
Subtracting 118°:
x = 180° - 118°
x = 62°
From the second drawing, we set up the equation:
y + 77° = 180°
Subtracting 77°:
y = 180° - 77°
y = 103°
