<h3>
Answer: 7(x+3)(x-2)</h3>
========================================
Explanation:
First factor out the GCF 7
7x^2 + 7x - 42
7*x^2 + 7*x + 7*(-6)
7(x^2 + x - 6)
Now focus on factoring x^2+x-6
We need to find two numbers that multiply to -6 and add to 1. Those values are 3 and -2. That means x^2+x-6 factors to (x+3)(x-2).
The 7(x^2 + x - 6) then turns into 7(x+3)(x-2)
The factor out front, the "7", is the integer factor. The other factors (x+3) and (x-2) are binomial factors.
Answer:
Step-by-step explanation:
use point-slope formula [y-y1 = m(x-x1) ] with the given info
P=(x1,y1) = (0,2) and slope m = -1/4
y-2=-1/4(x-0)
y-2= -1/4x
now try to move things till you get the slope-intercept form [y=mx+b]
y= -1/4x+2
good all done :)
Answer:
40%
Step-by-step explanation:
2:5 is equal to 4:10 or 40%.
It depends on the weight of the assignment in the class
To construct an angle MNT congruent to angle PQR:
Steps to construct an angle MNT:
Step 1: Use a compass to draw an arc from point Q which intersects the side PQ at point A and the side QR at point B.
Step 2: Draw a segment NT and use the same width of the compass to draw an arc from point N which intersects the segment NT at a point X.
Step 3: Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the previous arc drawn from N in a point Y.
Step 4: Join points N and Y using a straightedge.
Step 5: Angle MNT is the required angle congruent to angle PQR.