Answer:
PE = 83 and Science = 71
Step-by-step explanation:
let P represent PE and S represent Science with P > S, then
P + S = 154 → (1)
P - S = 12 → (2)
Adding the 2 equations term by term eliminates S
2P = 166 ( divide both sides by 2 )
P = 83
Substitute P = 83 into (1)
83 + S = 154 ( subtract 83 from both sides )
S = 71
Hence PE mark = 83 and Science mark = 71
Answer: y= -9 .
Step-by-step explanation:
If the line has no slope, then no matter what x is, y never changes.
X = -4 -> y = 4
x = 1 -> y = -1
So, rate = (4-(-1)) / (-4-1) = -1
Step-by-step explanation:
step 1. break into 2 shapes: a rectangle of sides 3 and 4. a triangle of sides (x - 3), 4, and y.
step 2. y = 4sqrt(2) (definition of a 45° triangle)
step 3. note: sqrt is the square root.
step 4. x - 3 = 4 (definition of a 45° triangle)
step 5. x = 7 (add 3 to both sides).
Using the disk method, the volume of the solid is

Substitute
and
.
