9514 1404 393
Answer:
Step-by-step explanation:
Let w represent the width of the rectangle. Then the length is 3w+1 and the area is ...
w(3w+1) = 52
3w² +w -52 = 0
To factor this equation, we need factors of 3·52 = 156 that have a difference of 1. These values are 12 and 13, so we can rewrite the equation as ...
3w² +13w -12w -52 = 0
w(3w +13) -4(3w +13) = 0
(w -4)(3w +13) = 0
The positive value of w that makes a factor zero is ...
w = 4
Then the length is 3w+1 = 3(4) +1 = 13.
The length is 13 ft; the width is 4 ft.
Answer:
F , D, E
Step-by-step explanation:
The smallest angle is opposite the smallest side
The largest angle is opposite the largest side
DE is smallest so F is smallest
Then EF so D
DF is largest so E is the largest angle
Answer:
D
Step-by-step explanation:
If we look at the options and we pay attention to D,
Lets work this out Step By Step:
Part 1:
5/4(-2) = -2.5
-2.5 - 3 = -5.5 (Correct)
Part 2:
5/4(4) = 5
5 - 3 = 2 (Correct)
Both of these rows are correct.
Hope this helps!
:)
Answer:
275 is the amount SPENT per month for rent. Since you are decreasing that amount from your savings, it is represented with a negative sign.
The formula is: y = mx + b where
- m is the rate --> -275 per month
- b is the fixed rate --> 3500 savings
If you think about it logically - You have 3500 and spend $275 per month
1st month: 3500 - 275 = 3225
2nd month: 3225 - 275 = 2950
3rd month: 2950 - 275 = 2675
4th month: 2675 - 275 = 2400
5th month: 2400 - 275 = 2125
6th month: 2125 - 275 = 1850
It is easier to write it as an equation where x is the number of months and y is the balance for that month.
y = -275x + 3500
To check if the point (6, 1850) is on the line, input x = 6 and y = 1850
y = -275x + 3500
1850 = -275(6) + 3500
1850 = -1650 + 3500
1850 = 1850
Since it makes a true statement, (6, 1850) is a point on the line.
