Answer:
P = 2x + 2y + 14
Step-by-step explanation:
Length (L) = x + 8 units
Width (W) = y - 1 units
Perimeter (P) = 2L + 2W
P = 2(x + 8) + 2(y - 1)
P = 2x + 16 + 2y - 2
P = 2x + 2y + 16 - 2
P = 2x +2y + 14
Answer:
x=28
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.
x 42
------ = ----------
x+10 42+15
x 42
------ = ----------
x+10 57
Solve using cross products
57x = 42(x+10)
Distribute
57x = 42x+420
Subtract 42x from each side
57x-42x = 42x-42x+420
15x = 420
Divide by 15
15x/15 = 420/15
x=28
here triangles EBC and EKC are similar by ASA rule.
So angle BEC = angle KEC
7p+7=37-3p
adding 3p to both sides
7p+3p=37-7
10p=30
dividing both sides by 10
p=3
Answer is B. p=3
Answer:
a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression
Step-by-step explanation:
A tip would be to watch a video on exponents and pemdas, they can be really helpful!
Hope this helps!
The matrices are
S =(4 11 T= ( -8 11
-3 -8) 3 4 )
Inverse of a matrix is a matrix derived from another matrix such that if you pre- multiply it with the original matrix you get a unit matrix.
if we multiply S and T
ST will be
( 4 11 × (-8 11 = ( 1 0
-3 -8) -3 -4) 0 1)
and also TS
( -8 11 × (4 11 = ( 1 0
-3 -4) -3 -8) 0 1)
therefore, matrices S and T are inverses of each other because ST = TS= I
.
