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
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D. 48 degrees
on calculator: 2ND SIN (72/97) = about 47.92
Answer:
The value of x is 5.
The value of y is 4.
Step-by-step explanation:
From the figure, the lengths of the lines with equal number of markings are equal.
So, we will have the length of 7x - 4 = 31.
We solve for 'x'.
We get: 7x = 35
⇒ x = 5
Similarly, 4y + 8 = 24
⇒ 4y = 24 - 8
⇒ 4y = 16
⇒ y = 4
Therefore, the value of x = 5 and y = 4.
Hence, the answer.
Answer: m = -2
Step-by-step explanation: To get from one point to the next along this line,
we must first go down 2 units so we say that our rise is -2.
From there we move 1 unit to the left so our run is 1.
So our slope or rise over run is -2/1 or -2.
