Answer:
The length is 7 m
The width is 10 m
Step-by-step explanation:
length = x
width = 2x - 4
length * width = area
It is given that the area is 70
From there
x * (2x - 4) = 70
- 4x = 70
- 4x - 70 = 0
- 2x - 35 = 0
Now we have a quadratic equation, which is a + bx + c = 0, where a 0
In this equation a = 1, b = -2 and c = -35
Discriminant (D) formula is b² - 4ac
D = - 4 * 1 * (-35) = 144 > 0
This discriminant is more than 0, so there are two possible x
Their formulas are and
= = -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)
= = 7 > 0 (this one is right)
Calculating the dimensions
length = x = 7 (m)
width = 2x - 4 = 2 * 7 - 4 = 10 (m)
Answer:
-65
Step-by-step explanation:
h + 28 = -37
-28 -28
h = -65
Answer:
1 / 8
Step-by-step explanation:
There are 2 + 8 + 6 slips in total
There are 2 Wednesday slips.
2 / 16 = 1 / 8
Answer:
53.87
Step-by-step explanation:
First, let's turn this sentence into a mathematical expression:
The quotient of the opposite of 30 and 6 means we're dividing negative 30 by 6. The next part, "plus the opposite of 8" means we want to add -8 to whatever we get from -30/6. So we have: