Step-by-step explanation:
Follow PEMDAS
P: Parentheses
E : Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
Question 2
Wesley will need 10 10-inch stones, and 9 5-inch stones.
Since he wants to begin and end the pattern with 10-inch stones, we put a 10 at the beginning and end.
10 5 10 5 10 5 10 5 10 5 10 5 10 5 10 5 10 5 10
10 x 10-inch = 100 inches
9 x 5-inch = 45 inches
100 + 45 = 145 inches
x = -10 that is the answer your welcome
Answer:
y=1/2x+2
Step-by-step explanation:
The equations come in the form of y=mx+c, where m is the gradient and c is the y-intercept. Looking at the graph we know that the y-intercept is (0,2), so that rules out options B and C.
To find the gradient is a little more tricky, but we can follow the formula:
, where rise is the vertical value and run is the horizontal value
So we sub in our values:
And simplify:
So now we sub in our new found values into y=mx+c:
y=1/2x+2
The initial statement is: QS = SU (1)
QR = TU (2)
We have to probe that: RS = ST
Take the expression (1): QS = SU
We multiply both sides by R (QS)R = (SU)R
But (QS)R = S(QR) Then: S(QR) = (SU)R (3)
From the expression (2): QR = TU. Then, substituting it in to expression (3):
S(TU) = (SU)R (4)
But S(TU) = (ST)U and (SU)R = (RS)U
Then, the expression (4) can be re-written as:
(ST)U = (RS)U
Eliminating U from both sides you have: (ST) = (RS) The proof is done.
