Y=ax² + bx + c and A(-2,18), B(0.4), C(4,24) given
1)Let's determine 1st the value of c in using the pair of B
4= a(0)² + b(0) + c , c=4 and y=ax²+bx+4
2) Use the pair of A: 18 = 4a -2b + 4===> 4a-2b=14
3) Use C pair: 24 = 16a+4b+4 ==> 16a+4b=20
4) solve the system equation in 2) and 3) and you'll find a=2 and b=-3
Hence the equation is y =2x²-3x+4
Answer:
Ball hits the ground after 4.5 sec
Step-by-step explanation:
Let a -1, so that the leading coefficient is positive
So our quadratic is
The key coefficients of two binomial variables can be 1 and 16, or 2 and 8, or 4 and 4, for the leading coefficient of 16.
Yet they can't actually be 4 and 4 because the linear (x) term coefficient has to be a multiple of 4, which it isn't and leading coefficients 1 and 16 on the binomial factors is not likely.
So, 2 and 8 taken as the leading coefficients of two binomial factors.
For constant 405, possible factorizations are 
Taking first factor, thus we find negative value for given time t. But second time equivalent to zero gives the value of 4.5 for t
Thus ball hits the ground after 4.5 sec
.
Answer:
B. 9 < 10,
C. 10 > 9,
D. 9 (is less than or equal to ) 10
Step-by-step explanation:
A.10 < 9, not true 10 is greater than 9
B. 9 < 10, true 9 is less than 10
C. 10 > 9, true 10 is greater than 9
D. 9 (is less than or equal to ) 10 true 9 is less than or equal to 10
Answer:
The Answer is C: Yes, △EFG~ △KLM by SSS or SAS
Step-by-step explanation:
SSS is for side-side-side
Both triangles have all three sides given, so the SSS similarity theorem is one way to prove these triangles are similar.
SAS is for side-angle-side
Both triangles have one angle measurement given, and two side lengths given, therefore we can also use the SAS similarity theorem to prove the two triangles are similar.
Since both SSS and SAS work to prove the triangles are similar, the correct answer is C: Yes, △EFG~ △KLM by SSS or SAS
(I also just answered this question on the assignment and got it correct)
