Hello from MrBillDoesMath!
Answer: b = 4, h = 13
Discussion:
For a triangle with base b" and height "h, the area formula is
A= (1/2)bh.
In our case A = 26, h = 5b-7, so
26 = (1/2) b (5b-7). Multiply both sides by 2:
26*2 = b(5b-7) =>
52 = b(5b-7) =>
52 = 5b^2 - 7b => (subtract 52 from both sides)
5b^2 - 7b - 52 = 0. This factors as follows:
(b - 4) (5 b + 13) = 0 (use quadratic formula to find this)
so b = 4 and h = 5b -7 = 5*4 - 7 = 13
Thank you,
MrB
Answer:
(1) 1 and 7
Step-by-step explanation:
Hello!
We can solve by isolating the variable.
<h3>Solve</h3>
- 3(x - 4)² = 27
- (x - 4)² = 9
- √(x - 4)² = √9
- (x - 4) = ± 3
- x = 4 ± 3
There are two solutions, 1 and 7.
The answer is option 1: x = 7, x = 1.
The correct answer for that is y=4
There is one solution: w=3
Answer:
no
Step-by-step explanation:
The length of any side of a triangle cannot exceed the sum of the lengths of the other two sides. ... Therefore, if two sides have length 6 cm and 9 cm, the third side has length between 9–6 = 3 cm and 9+6 = 15 cm.
