Answer:
Let the breadth is x, then the length is 3x.
<u>The area is:</u>
<u>The breadth is decreased by 2 m: </u>
<u>The length is increased by 4m: </u>
<u>The area is now:</u>
- (x - 2)(3x + 4) = 3x² - 1/3(3x²)
- 3x² + 4x - 6x - 8 = 2x²
- x² - 2x - 8 = 0
- x² - 2x + 1 = 9
- (x - 1)² = 3²
- x - 1 = 3
- x = 4
The breadth was 4 m and the length 12 m
Answer:
a₅=27.
Step-by-step explanation:
1) according to the condition the given subsequence is arithmetic sequence. It means, the a₁=7 and d=5, then
2) a₅=a₁+4*d; => a₅=7+4*5=27.
I will show you how to do the first one.....we are finding the GCF...the largest number that goes into each number (same for variables)
1.) 20yx , 80x³ ( factor each number and variable)
20 = 2, 4, 5, 10, 20
y = y
x = x
80 = 2, 4, 5, 8, 10, 16, 20, 40, 80
x³ = x, x, x
what is the largest number that 20 and 80 have in common? 20...
how about the variables? x
so, the Greatest Common Factor (GCF is 20x)
Answer:
F=55
E=70
Step-by-step explanation:
The total degree of a triangle is 180.
So we have 180-55*2
E=180-110
E=70
Let x = the number of hours Eva needs to complete the job
and y = the number of hours Emily needs to complete the job
x = 6
1/x + 1/y = 1/4
(The amount of work Eva does in 1 hr + the amount of work Emily does in 1 hr should equal 1/4 of the total work)
1/6 + 1/y = 1/4
1/y = 1/12
y = 12 hours
Emily would take 12 hours to do it by herself.