Answer:
(x, y) → (x – 8, y + 11)
Step-by-step explanation:
We are given the vertices of the triangle with their respective coordinates. For the vertex L, the translated coordinates is also given. So, from the original coordinates of L and the new coordinates, we can get the rule used during translation:(7, -3) -> (7 + a, -3 + b) = (-1, 8)7 + a = -1a = -8
-3 + b = 8b = 11
Answer:
see below
Step-by-step explanation:
The rotated location of D' is (-2, 1). The "arrow" points to the left. The attached figure is the best I could do with your distorted image.
Answer:
x = 8√3
Step-by-step explanation:
Using the Pythagorean Theorem:
a² + b² = c²
x² + 8² = 16²
x² + 64 = 256
x² = 192
√x² = √192
x = √64 √3
x = 8√3
Answer:
11000
Step-by-step explanation:
Answer:
-4 < x ≤ -3
Step-by-step explanation:
The compound inequality needs to be separated into its two parts in order to obtain a solution.
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We can do a little preliminary work to make the solutions easier.
2x +6 ≤ x +3 < 3x +11 . . . . . given
x +3 ≤ 0 < 2x +8 . . . . . . . . subtract x+3
<h3>left side</h3>
x +3 ≤ 0
x ≤ -3 . . . . . . . subtract 3
<h3>right side</h3>
0 < 2x +8
0 < x +4 . . . . divide by 2
-4 < x . . . . . . subtract 4
<h3>solution</h3>
Now, we can rearrange these back into a compound inequality.
-4 < x ≤ -3
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The graphing calculator shows the same solution.