Answer:
Area: 5x + 10
Perimeter: 2x + 14
Step-by-step explanation:
Area = length times width
Perimeter = length (2) + width (2)
<u>Area:</u>
Multiply the length be the width. That gives you 5 (x + 2).
Then use the distributive property to simplify this expression. That gives you 5x + 10.
<u>Perimeter:</u>
Multiply the width by 2. That gives you 10.
Multiply the length by 2. That gives you 2x + 4
Add the 2 together. That gives you 10 + 2x + 4.
Combine all like terms. That gives you 2x + 14.
Answer: 600 m/s^2
Step-by-step explanation:
Use the first kinematic equation

Answer is D
Step-by-step explanation:
The length of the function y = 3x over the given interval [0, 2] is 3.2 units
For given question,
We have been given a function y = 3x
We need to find the length of the function on the interval x = 0 to x = 2.
Let f(x) = 3x where f(x) = y
We have f'(x) = 3, so [f'(x)]² = 9.
Then the arc length is given by,
![\int\limits^a_b {\sqrt{1+[f'(x)]^2} } \, dx\\\\= \int\limits^2_0 {\sqrt{1+9} }\, dx\\\\=\sqrt{10}\\\\ =3.2](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20%7B%5Csqrt%7B1%2B%5Bf%27%28x%29%5D%5E2%7D%20%7D%20%5C%2C%20dx%5C%5C%5C%5C%3D%20%5Cint%5Climits%5E2_0%20%7B%5Csqrt%7B1%2B9%7D%20%7D%5C%2C%20dx%5C%5C%5C%5C%3D%5Csqrt%7B10%7D%5C%5C%5C%5C%20%3D3.2)
This means, the arc length is 3.2 units.
Therefore, the length of the function y = 3x over the given interval [0, 2] is 3.2 units
Learn more about the arc length here:
brainly.com/question/10729208
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To find X, set up a ratio with the given dimensions:
10/15 = X/42
Cross multiply:
420 = 15x
Divide both sides by 15:
x = 420 / 15
x = 28