Answer:
i did the first
Step-by-step explanation:
1st way
Standard form: a(X-h)²+k = ( -2/3X² -16/3X -32/3) +32/3 -17/3 = -2/3(X +4)² +5
y = -2/3*X^2-16/3*X-17/3
X = -4 ±√( 15/2) = -6.7386, or -1.2614
Axis of symmetry: X= -4; Vertex (maximum)=(h,k)=( -4, 5); y-intercept is (0,-5.66666666667)
two real roots: X=-1.2613872124776866 and -6.738612787477313
This is a question that can be solved with Pythagorean Theorem since it is a right triangle. The longest side, 29, is the hypotenuse and the sides 21 and x are the legs. So, the Pythagorean Theorem states,
![c^{2}= a^{2}+ b^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%3D%20a%5E%7B2%7D%2B%20b%5E%7B2%7D)
Where,
c is the Hypotenuse, a and b are the legs. Putting the respective values gives us,
![(29)^{2}= (21)^{2} +x^{2} \\841=441+x^{2} \\400=x^{2} \\20=x](https://tex.z-dn.net/?f=%2829%29%5E%7B2%7D%3D%20%2821%29%5E%7B2%7D%20%2Bx%5E%7B2%7D%20%5C%5C841%3D441%2Bx%5E%7B2%7D%20%5C%5C400%3Dx%5E%7B2%7D%20%5C%5C20%3Dx)
So, 20 is the side length of x.
ANSWER: 20
Answer:
A) 991=43x+475
B) 12 hours
Step-by-step explanation:
Answer:
B. Multiply 6 by 3
Step-by-step explanation:
Do the opposite order of what Hannah did. The last step that she did was divide by 3, so you would multiply the result (6) with 3:
B. Multiply 6 by 3
Your step by step for getting the number Hannah started with:
First, multiply 6 with 3:
6 x 3 = 18
Next, subtract 4:
18 - 4 = 14
Next, divide by 2:
14/2 = 7
Hannah started with the number 7.
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