Step-by-step explanation & answer:
When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor.
For example, if the scale factor is "k", the algebraic representation of the dilation is
(x, y) → (kx, ky)
For enlargements, k > 1 and for reductions, k < 1.
Hope this is what you needed:)
X = ± √<span>6 </span><span>= ± 2.4495 because i know it</span>
Step-by-step explanation: To solve this absolute value inequality,
our goal is to get the absolute value by itself on one side of the inequality.
So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.
Now divide both sides by 3 and we have |x + 5| ≤ 3.
Now the the absolute value is isolated, we can split this up.
The first inequality will look exactly like the one
we have right now except for the absolute value.
For the second one, we flip the sign and change the 3 to a negative.
So we have x + 5 ≤ 3 or x + 5 ≥ -3.
Solving each inequality from here, we have x ≤ -2 or x ≥ -8.
Answer:
1.5 bars of granola per student
Step-by-step explanation:
Number of students = 4
Number of granola bars = 6
Four students share 6 granola bars equally.
Each student gets = 6 ÷ 4
= 1 1/2
= 1.5 bars of granola per student
Each student's share is 1.5 granola bars.
Answer:
10 1/2 sticks, or 11 sticks with half a stick left over.
Step-by-step explanation:
If every student (and there are 14 students) needs 3/4 stick of butter, the equation is 3/4 x 14 = 10 1/2
