Answer:
Two consecutive positive integers are 17 and 18. Or -17 and -18.
Step-by-step explanation:
Let the consecutive integers be x and x+1
x (x+1)=306 --> x^2 + x-306=0
x^2+18x-17x-306=0
x(x+18)-17(x+18)=0
or
(x-17)(x+18)=0
For this case, what we are going to do is use the following property:
Multiply an equation by a scalar.
In this case, the scalar will be:
k = -2
We have then that equation 2 will be:
k * (4x + y) = k * 1
-2 * (4x + y) = - 2 * 1
-8x-2y = -2
Answer:
The property that justifies this manipulation is:
Multiply an equation by a scalar.
Answer:
The correct answer is c. c is the square of half of b.
Step-by-step explanation:
In all perfect square trinomials, half of the middle number squared gives you the constant. See the example below for proof.
(x + 4)^2
(x + 4)(x + 4)
x^2 + 4x + 4x + 16
x^2 + 8x + 16
You'll notice if you take the middle term (8), cut it in half (4) and then square it (16), the result is the constant.
Answer:C
Step-by-step explanation: