39 cubic meters is equal to 39000 litres
Answer:
A
Step-by-step explanation:
Since DE is parallel to AB and intersects the other 2 sides, it divides those sides proportionally, that is
=
Note that AD = 33 - 22 = 11
Substitute values into the ratio
=
=
( cross- multiply )
2x = 16 ( divide both sides by 2 )
x = 8
To find y use similar triangles
Δ ABC is similar to Δ DEC, thus ratios of corresponding sides are equal
=
, substitute values
=
=
( cross- multiply )
3y = 36 ( divide both sides by 3 )
y = 12
Thus y = 12, x = 8 → A
Use the distance formula.
The distance, d, between points
and
![(x_2, y_2)](https://tex.z-dn.net/?f=%20%28x_2%2C%20y_2%29%20)
is given by the distance formula below.
![d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D%20)
Now we can apply the formula to your points.
Let Point 1 be (2, 3) and Point 2 be (5, -4).
Then you have
![x_1 = 2~~~~y_1 = 3~~~~x_2 = 5~~~~y_2 = -4](https://tex.z-dn.net/?f=%20x_1%20%3D%202~~~~y_1%20%3D%203~~~~x_2%20%3D%205~~~~y_2%20%3D%20-4%20)
![d = \sqrt{(5 - 2)^2 + (-4 - 3)^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%285%20-%202%29%5E2%20%2B%20%28-4%20-%203%29%5E2%7D%20)
![d = \sqrt{(3)^2 + (-7)^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%283%29%5E2%20%2B%20%28-7%29%5E2%7D%20)
![d = \sqrt{9 + 49}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B9%20%2B%2049%7D%20)
![d = \sqrt{58}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B58%7D%20)
Answer: the distance is sqrt(58)
Answer:
f(9) = 24
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 4(x - 3)
f(9) is x = 9
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(9) = 4(9 - 3)
- Subtract: f(9) = 4(6)
- Multiply: f(9) = 24