When using exponents there will be a negative sign before the exponent. If the exponent is positive it will not have any sign it will just be the number
(a) The Rectangles are similar because all angles of all rectangles are equal to 90°. Then, the corresponding sides have the equivalent ratio equal to k.
(b) The perimeter of the rectangle is the sum of the measurements of all sides. Such that for Rectangle 1, it should be.
Perimeter (Rectangle 1) = 2x + 2y
Then for rectangle 2,
Perimeter (Rectangle 2) = 2kx + 2ky = k (2x + 2y)
= k(Perimeter of rectangle 1)
c. Area of rectangle is the product of the lengths of two sides, (x)(y). For Rectangle 2, that would be (kx)(ky) = k²xy
Answer:
Area of PSTK = 50
Step-by-step explanation:
△SPK:
SK = 13, PK = 12
13^2 - 12^2 = SP^2
SP = 5
(8 + 12) /2 x 5 = 50
Answer:
X = -2
Step-by-step explanation:
4x + 2 = x3
Subtract 2 from both sides: 4x = x3 -2
Subtract x3 from both sides: 4x - 3x = -2
This leaves 1x = -2 which can also be written as x = -2
x = -2
Answer: $167.02
Step-by-step explanation:
Amount spent when there's discount
= $150.32
Discount = 10%
Since there's a discount of 10%, it means that (100% - 10%) = 90% of the value of the good was paid.
Let the original value be x.
Therefore, 90% of x = $150.32
90% × x = $150.32
0.9 × x = $150.32
0.9x = $150.32
x = $150.32/0.9
x = $167.02
The value is $167.02
