Answer:
x >=5 or x <=-3
Step-by-step explanation:
Solve an absolute value inequality
3|x-1| >= 12
Divide each side by 3
3/3|x-1| >= 12/3
|x-1| >= 4
Now there are two solutions
x-1 >= 4 or x-1 <= -4
Add 1 to each side
x-1+1 >= 4+1 or x-1+1 <= -4+1
x >=5 or x <=-3
We know that
<span>(16x6 − 12x4 + 4x2) / 4x2
is equal to
[16x6/4x2]+[-12x4/4x2]+[4x2/4x2]
=[4x4]+[-3x2]+[1]
=4x4-3x2+1
the answer is
</span>4x4-3x2+1<span>
</span>
The complete question is:
Joni translates a right triangle 2 units down and 4 units to the right. How does the orientation of the image of the triangle compare with the orientation of the preimage?
The orientation (will/will not) be the same.
Answer:
- <u><em>The orientation will be the same</em></u>
Explanation:
The <em>orientation</em> of a figure is described by the angles of its sides with respect to some cartesian axis system.
The figure is said to be translated.
<em>Translation</em> consits in sliding the figure without changing the orientation: all the angles with respect to the original axis system remain unchanged.
When <em>Joni translates a right triangle 2 units down and 4 units to the right</em>, the triangle is just shifted down and to the right, but the <em>orientation </em>will not change; it <em>will remain the same</em>.
Answer:
-0.5
Step-by-step explanation:
- slope=rise/run or y/x in other words(y2-y1/x2-x1)
- (y2-y1) is 3-2 so y2-y1=1
- (x2-x1) is 3-5 so x2-x1= -2
- -1/2 or -0.5 would be the slope.
