Answer:
5
Step-by-step explanation:
area of rectangle = l(ength)×w(idth)
perimeter = 2×l + 2×w
diagonal = sqrt(l² + w²) (Pythagoras)
l×w = 12. => l = 12/w
2×l + 2×w = 14
2×12/w + 2×w =14
12/w + w = 7
12 + w² = 7w
w² - 7w + 12 = 0
=> (after a little thinking and trying : what 2 numbers multiply to 12 and add to -7 ? -3 and -4
=> (w-3)×(w-4) = 0
so, we get 2 solutions for w : 3 and 4
that gives us 2 solutions for l : 4 and 3
so, one is 3 and the other 4. it does not matter which is which. length 4 and width 3 produce the same diagonal as length 3 and width 4.
diagonal = sqrt(l² + w²) = sqrt(16 +9) = sqrt(25) = 5
Answer:
-65
Step-by-step explanation:
Simplify the following:
-68 - 5 + 8
-68 - 5 + 8 = 8 - (68 + 5):
8 - (68 + 5)
| 1 |
| 6 | 8
+ | | 5
| 7 | 3:
8 - 73
8 - 73 = -(73 - 8):
-(73 - 8)
| 6 | 13
| 7 | 3
- | | 8
| 6 | 5:
Answer: -65
Answer:
x = -√2, x2 = √2
Alternative Form:
x1 = -1.41421, x2 = 1.41421
Step-by-step explanation:
-x²+7-5 = 0
-x²+2 = 0
x = -0±√0²-4×(-1)×2 [over] 2×(-1)
x = ±√0+8 [over] -2
x = ±√8 [over] -2
x = ±2√2 [over] -2
x = -±2√2 [over] 2
x = -2√2 [over] 2
x = --2√2 [over] 2
x = -√2
x = √2
Answer:
1 out of 5 or 20%
Step-by-step explanation:
The probabilty does not change depending on how many times a situation is repeated.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
Apply exponent rule:
∵
Factor out common term 2y
We know that the Binomial is an expression that consists of two terms. Thus,
(4x²y²- 9) represents the binomial factor of
We can further simplify by Factoring 4x²y² - 9: (2xy + 3) (2xy - 3)
Here:
(2xy + 3) and (2xy -3) are the binomial factors of as each of them consists of two terms.