Answer:
C
Step-by-step explanation:
In this technique, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:
N1⋅N2=a⋅c=1⋅−12=−12
AND
N1+N2=b=−1
After trying out a few numbers we get N1=3 and N2=−4
3⋅−4=−12, and 3+(−4)=−1
x2−x−12=x2−4x+3x−12
x(x−4)+3(x−4)=0
(x+3)(x−4)=0
Now we equate the factors to zero.
x+3=0,x=−3
x−4=0,x=4
72:80
9:10
Divide 72 and 80 by 8 to simplify it and get the ratio
Answer:
Quadrant 2
Step-by-step explanation:
The answer is quadrant two because the answer is in the form of -x,y. When the x is negative and the y is positive, it is always going to be in quadrant 2. As you can see in the image below, quadrant 1 is going to be all positive, quadrant two is going to be negative then positive, quadrant three is going to be all negative, and quadrant 4 is going to be positive then negative. Use this as a guide for the rest of your question. I hope this helps!
Answer:
2.8 units
Step-by-step explanation:
Think of this distance as the hypotenuse of a right triangle that has a vertical leg and a horizontal one as well.
Going from P to Q, the change in x is 2 and the change in y is also 2.
Thus, by the Pythagorean Theorem, this desired distance is:
d = √(2^2 + 2^2) = 2√2 units, or 2.8 units
