Width of the rectangle is 13 cm and length is 29 cm.
<u>Step-by-step explanation:</u>
Step 1:
Given perimeter of the rectangle = 84 cm. Let the width be x, then the length of the rectangle = 2x + 3. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.
84 = 2(2x + 3 + x) = 2(3x + 3) = 6(x + 1) [taking 3 as common factor outside)
⇒ 84 = 6x + 6
⇒ 78 = 6x
∴ x = 13
⇒ Width of the rectangle = 13 cm
∴ Length of the rectangle = 2x + 3 = 29 cm
Answer:
1)
2)
3)
4)2
Step-by-step explanation:
1) 5x + 3y = 8
3y=8-5x
hence intercept is
2) 10x + 6y - 12 = 4
10x + 6y = 16
6y=16-10x
hence intercept is
3) 2x – 3y = 5
3y=2x-5
hence intercept is
4) 3x + 2y = 1
2y=-3x+4
hence intercept is 2
Answer:
$460.38
Step-by-step explanation:
Use the exponential decay formula, y = C(1 - r)^t
Plug in the original price, depreciation rate, and amount of time:
y = 20000(0.875)^11
y = 460.38
So, the car's value after 11 years will be $460.38
The lesser x is 2 and the greater x is 3. The x values can be determined by setting each set of numbers in parenthesis equal to 0, so 3x-6=0 and -x+3=0. To solve, take the first set, 3x-6=0 and divide by the greatest common factor, 3, leaving you with x-2=0. Add 2 to each side so that x=2. On the other side, take -x+3=0 and subtract three from each side. Take your new equation -x=-3 and multiply by -1 so that x=3. Therefore x=3 and x=2.
Answer:
(2, -8)
Step-by-step explanation:
The coordinates of M are the average of the coordinates of X and Y.
-3 = (x + -8) / 2
-1 = (y + 6) / 2
Solving:
x = 2
y = -8
