The area of a rectangle is equal L x W
4 cm longer than it is wide L = 4 + <span>W
</span>
L x W = 117 we replace L here
(4 + <span>W ) x W = 117
</span>
4W + W ^2 = 117
<span>4W + W ^2 -117 = 0
</span>W ^2 +4 W -117 = 0
W² + 4W - 117 = 0
<span>
THEN u want to use the </span>use the quadratic formula
OR Factoring gives us
(W + 13)(W - 9) = 0
W = -13 or 9
But it can't be negative, so
W = 9 and L= 9+4 = 13
I found a graph with the same problem, so I guess this is the graph to be based on. To find the rate, just determine the slope between any two points along the line. Suppose these points are: (30,10) and (50,20).
Slope = (20 - 10)/(50 - 30) = 1/2
<em>The correct answer should be: the rate of change is 1 cm per 2 weeks, or 1/2.</em>
Answer:
12.5
Step-by-step explanation:
Let individual time taken by Anthony, Brian and Chris = t1 , t2 , t3 respectively
So, total time taken by A & B = 1 / t1 + 1 / t2 , lets suppose = 10 {i}
Total time taken by A & C = 1 / t1 + 1 / t3 , lets suppose = 15 {ii}
Total time taken by B & C = 1 / t2 + 1 / t3 , lets suppose = 20 {iii}
From {i} , 1 / t2 = 10 - 1 / t1
From {ii} 1 / t1 = 15 - 1 / t3
By above two eqtns , 1 / t2 = 10 - (15 - 1 / t3)
1 / t2 = 1 / t3 - 5
Putting in {iii} , 1 / t3 - 5 + 1 / t3 = 20
2 / t3 = 25
t3 = 12.5
<u>Answer:</u>
If PQ=RS then PQ and RS have the same length. Hence option D is correct
<u>Solution:</u>
Given that, pq = rs
And, we have to find which of the given options are true.
<u><em>a) pq and rs form a straight angle
</em></u>
We can’t decide the angle in between pq and rs just by the statement pq = rs.
So this statement is false.
<u><em>b) pq and rs form a zero angle.
</em></u>
We can’t decide the angle in between pq and rs just by the statement pq = rs.
So this statement is false.
<u><em>c) pq and rs are same segment.
</em></u>
If two things equal then there is no condition that both represents a single item.
So this statement is false.
<u><em>d) pq and rs have the same length
</em></u>
As given that pq = rs, we can say that they will have the same length
Hence, option d is true.
