Answer:
Step-by-step explanation:
Y=cos(x+r/2)
Answer: YES
<u>Step-by-step explanation:</u>
8p - 2q = 14
8(1) - 2(-3) = 14
8 - -6 = 14
8 + 6 = 14
14 = 14
TRUE
Answer:
1a) Length = 7x + 3 & Width = 4x - 2
1b) Area = 
1c) Area = 2774 sq. m
2. 
Step-by-step explanation:
1a)
The length given as words is "3 more than 7 times x"
The width given as words is "4 times x minus 2"
The expression for length would be 7x + 3
The expression for width would be 4x - 2
1b)
The area is length * width
Since we already know the algebraic expressions for length and width from part (a) above, we use the formula:
Area = (7x+3)(4x-2) = 28x^2 -14x + 12x - 6 = 28x^2 -2x -6
Area = 
1c)
Given x = 10, we put this into the area expression we found in (b) above.Let's see:

Area = 2774 sq. m
2.
We can group the first two terms and next two terms and write up:

That's the factored form.
Answer:
y=-2x+1
Step-by-step explanation:
to find the slope use the formula (y2-y1)/(x2-x1)
-5-3= -8
3-(-1) = 4
-8/4 = -2
As with a system of equations, call them A and B in order to keep them straight.
A: x + y = 7
B: x = y + 3
Because in B we have x on one on one side and not x on the other, substitution is the way to go. Substitute equation B into equation A.
x + y = 7 Equation A
y + 3 + y = 7 Putting B into A
2y + 3 = 7 Collect like terms
2y = 4 Subtract 3 on both sides
y = 2 divide both sides by 2
With y = 2 we can substitute that back into an original equation. Choose B.
x = y + 3
x = 2 + 3
x = 5
Thus x = 5 and y = 2, or (5, 2) is the solution of this system.