Answer:
4
Step-by-step explanation:
Step 1: find (r- s) or r(x) - s(x)
r(x) - s(x) = 3x - 1 - (2x + 1)
r(x) - s(x) = 3x - 1 - 2x - 1 (distribute the -1 to 2x and 1)
r(x) - s(x) = x - 2 (combine like terms, 3x + (-2x) = x, -1 + (-1) = -2)
so r(x) - s(x) = x - 2, or (r - s)(x) = x - 2
Step 2: Plug in 6 to 'x' and find (r - s)(x)
(r - s)(6) = 6 - 2 = 4
Answer:
B) 103.25
Step-by-step explanation:
Area of rectangle:
A = bh
A = (16)(4)
A = 64
Area of a semi-circle:
r = d/2 = 5
A = (πr²)/2
A = (3.14 * 5²)/2
A = (3.14 * 25)/2
A = (78.5)/2
A = 39.25
Combined:
64 + 39.25 = 103.25
First you get "y" by itself. To do so you divide 2 on both sides.
y = 3/2x + 5
To write an equation of a line that is PARALLEL to this equation, the slopes have to be the SAME. So the slope is 3/2.
You then use the equation:
y = mx + b
SInce you know "m" you plug it in.
y = 3/2x + b
Now you need to find b. To do so you plug in the point (2, -5) into this equation.
-5 = 3/2(2) + b
-5 = 3 + b
-8 = b
Finally you plug in b and you get your new equation.
y = 3/2x - 8
When we factorise an expression, we are looking for simple factors that multiply to get the original expression. Usually it is very natural to factorise something like a quadratic in x. For example:
x^2 + 3x + 2 = (x+1)(x+2)
But there are other situations where factorisation can be applied. Take this quadratic:
x^2 - 9x = x(x-9)
This second example is closer to the question in hand. Just like x was a common factor to both x^2 and -9x, we are looking for a common factor to both 6b and 24bc. The common factor is 6b.
Hence 6b + 24bc = 6b(1 + 4c).
I hope this helps you :)
The first and the second one.
-2*-2=4
Absolute value of -4 is 4
