A = (H * B) / 2.......2A = H * B
A = 15
H = B + 1
2(15) = H * B
30 = B(B + 1)
30 = B^2 + B
B^2 + B - 30 = 0
(B + 6)(B - 5) = 0
B + 6 = 0
B = -6.....not this one, it cant be negative
B - 5 = 0
B = 5 <==== base is 5 cm
H = B + 1
H = 5 + 1
H = 6 <=== height is 6 cm
Answer:
8
Step-by-step explanation:
(15-4x)+5
(15-4(3))+5
(15-12)+5
3+5=8
so we know she has sculptures and paintings, if she sold twice as many paintings as sculptures, that means that for every 2 paintings, she sold 1 sculpture, so the paintings and sculptures are on a 2:1 ratio.
we know she sold a total of 57, so we'll need to split 57 in a 2:1 ratio, we'll simply divide the whole amount of 57 by (2+1) and distribute accordingly.

Step-by-step explanation:
Since, x=8 and x=-5 are the roots.
Therefore, (x - 8) & (x - 5) will be factors.
Hence, required quadratic equation can be given as:

Answer: This is side,side,side. Meaning that you will add 4+5 to get 9. 9 is greater than 6 so the answer is only 1 unique triangle is possible. Here is some notes.
Step-by-step explanation: