Answer:
2nd number line
Step-by-step explanation:
When there is an absolute value inequality of the form |x+a| ≥ b,
We can say that the solution set (in a number line) would be:
- we take the point x = -a
- then we go b units in both directions (left and right)
- start from those 2 points and draw arrows in both directions (left & right)
Keeping these points in mind,
|x+3| ≥ 2
we start from x = -3
we go 2 units left and right, so we arrive at x = -5 and x = -1
then we draw arrows to both sides
<em>looking at the choices, </em><em>we see 2nd answer choices (graph) portrays it correctly.</em>
Answer:
10 square in.
Step-by-step explanation:
The rectangles are similar by a scale factor of 3. We can tell because the quotient of two of the corresponding sides, 18 and 6, is 3 (18/6=3)
That means the width of ABCD is 3 times the width of WXYZ.
Let's say the width of ABCD is x. Then 18*x=90 because that's the area.
x=90/18=5
Now we have the width of ABCD, 5, so to get the width of WXYZ, we divide by 3, which is 5/3.
Now to get the area of WXYZ, we can do 5/3, the width, times 6, the length, which is 30/3=10.
Answer:
1/12 of a mile.
Step-by-step explanation:
1. Find a common denominator. In this instance, we can use the denominator of 12 because both 3 and 4 are multiples of 12.
2. Multiply each fraction (numerator and denominator) to convert them.
1/3(4/4) = 4/12
1/4(3/3) = 3/12
3. Subtract.
4/12－3/12 = 1/12
