Answer:
120 ft squared
Step-by-step explanation:
First you find the areas of all the triangle surfaces and add them up
1/2 * b * h = 21
21 *4 = 84
Find the area of the square base and add the 2 values up
6^2 = 36
36+84 = 120
15 = ½ (7x-6)
distribute ½ into parentheses
15 = ½(7x) - ½(6)
15 = ⁷/₂x - 3
multiply by 2
30 = 7x -6
subtract +6 to both side
30 + 6 = 7x
36 = 7x
devide 7 to both side
36
------ = x
7
Answer: Shift the graph to the right by 6, and up by 3.
Step-by-step explanation: If a number is in parentheses or absolute value lines, use the inverse sign. If it’s outside of the parentheses, move it like normal.
Answer:
○ ![\displaystyle (x - 4)^2 + (y + 2)^2 = 25](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28x%20-%204%29%5E2%20%2B%20%28y%20%2B%202%29%5E2%20%3D%2025)
Explanation:
Accourding to one of the circle equations,
the centre of the circle is represented by
Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY <em>REALLY</em> ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:
Pythagorean Theorem
![\displaystyle a^2 + b^2 = c^2 \\ \\ 4^2 + 3^2 = r^2 \hookrightarrow 16 + 9 = r^2 \hookrightarrow \sqrt{25} = \sqrt{r^2} \\ \\ \boxed{5 = r}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%5E2%20%2B%20b%5E2%20%3D%20c%5E2%20%5C%5C%20%5C%5C%204%5E2%20%2B%203%5E2%20%3D%20r%5E2%20%5Chookrightarrow%2016%20%2B%209%20%3D%20r%5E2%20%5Chookrightarrow%20%5Csqrt%7B25%7D%20%3D%20%5Csqrt%7Br%5E2%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7B5%20%3D%20r%7D)
Sinse we are dealing with <em>length</em>, we only desire the NON-NEGATIVE root.
Distanse Equation
![\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-7 + 4]^2 + [-2 - 2]^2} = r \hookrightarrow \sqrt{[-3]^2 + [-4]^2} = r \hookrightarrow \sqrt{9 + 16} = r; \sqrt{25} = r \\ \\ \boxed{5 = r}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Csqrt%7B%5B-x_1%20%2B%20x_2%5D%5E2%20%2B%20%5B-y_1%20%2B%20y_2%5D%5E2%7D%20%3D%20d%20%5C%5C%20%5C%5C%20%5Csqrt%7B%5B-7%20%2B%204%5D%5E2%20%2B%20%5B-2%20-%202%5D%5E2%7D%20%3D%20r%20%5Chookrightarrow%20%5Csqrt%7B%5B-3%5D%5E2%20%2B%20%5B-4%5D%5E2%7D%20%3D%20r%20%5Chookrightarrow%20%5Csqrt%7B9%20%2B%2016%7D%20%3D%20r%3B%20%5Csqrt%7B25%7D%20%3D%20r%20%5C%5C%20%5C%5C%20%5Cboxed%7B5%20%3D%20r%7D)
Sinse we are dealing with <em>distanse</em>, we only desire the NON-NEGATIVE root.
I am joyous to assist you at any time.
Answer:
698.46 Hz
Step-by-step explanation:
A note an octave higher than another note is double the amount of frequency.
In this example, the note is 349.23 Hz. Doubled, this is 698.46 Hz. Therefore, the final answer is the first option, 698.46 Hz