Answer:
<em>5 and 10</em>
Step-by-step explanation:
You have all the information you need to find the area of the circle and then subtracting that from 77 you'll have the area of the rectangle and will be able to figure out the length and height by looking at the answer options.
So the area of a triangle is 1/2(b x h) or (b x h)/2 so the base is 6 and the height is 9 so the area is 54/2 which equals 27. 77 - 27 = 50 so the area of the rectangle is 50. With the answer options provided I can see that <em>the height of the rectangle is 5 and the length is 10.</em>
Set up a proportion:
6 feet over 11 feet long equals x feet over 33 feet long
6/11 = x/33
198 = 11x
x = 18
The height of the tree is 18 feet tall
Answer:
Step-by-step explanation:
The standard form of a quadratic is
where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:
and simplified:
That is the parent graph shifted 10 units to the right.
Answer:
531441
Step-by-step explanation:
We can find by factorization
531441 = 9 * 9 * 9 * 9 * 9 *9 = (9*9*9) * (9*9*9)
![\sqrt[3]{531441}=\sqrt[3]{9*9*9*9*9*9} =9*9 = 81\\\\\\\sqrt{531441}=\sqrt{(9*9)*(9*9)*(9*9)}=9*9*9=729](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B531441%7D%3D%5Csqrt%5B3%5D%7B9%2A9%2A9%2A9%2A9%2A9%7D%20%20%3D9%2A9%20%3D%2081%5C%5C%5C%5C%5C%5C%5Csqrt%7B531441%7D%3D%5Csqrt%7B%289%2A9%29%2A%289%2A9%29%2A%289%2A9%29%7D%3D9%2A9%2A9%3D729)
To find the intercepts you sub the opposite value for 0
To find y:
<span>Y=4(0)+7
0*4=0+7=7
y=7
To find x:
0=4x+7
Subtract 7 from both sides
-7=4x
divide both sides by 4
x=-7/4
Final answer:
x-intercept: (-7/4,0)
y-intercept: (0,7) </span>
