Answer:
(x + y)² = 35
Step-by-step explanation:
The expansion of
(x + y)² = x² + 2xy + y²
= x² + y² + 2xy ← substitute given values
= 25 + 2(5)
= 25 + 10
= 35
The answer is three significant figures. The 1 and the 7 are both significant, because they are non-zero quantities.
This is where significant figures gets a little more complicated, because if a zero is used as a placeholder (i.e. 0.00027 cm) then it is insignificant.
But in the case above, the zero isn't being used as a placeholder, and thus, is significant.
Answer: 2
Step-by-step explanation:
1. Convert the mixed numbers to improper fractions,
2. then find the LCD and combine.
Allison ran 3/8 km (0.375 km) in 3 minutes.
Set up a proportion to find how long it takes for her to run 1 km

Cross multiply to get:

Solve:

x = 8 minutes
Answer:
Part a) Exactly values
The width of the rectangle is 
The length of the rectangle is 
Part b) Approximately values
The width of the rectangle is 
The length of the rectangle is 
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of rectangle is equal to

we have

substitute the values in the formula



so

Solve for x
Divide by 4 both sides

square root both sides

The solution is the positive value

therefore
<em>Exactly values</em>

<em>Approximately values</em>
