Answer:
[-6, 8]
Step-by-step explanation:
Domain: set of all possible <u>input</u> values (x-values)
Range: set of all possible <u>output</u> values (y-values)
The <u>closed circles</u> on the <u>endpoints</u> of the curve mean that those points are <u>included</u> in the interval.
From inspection of the graph, the smallest y-value is -6 and greatest y-value is 8.
To express this in <u>interval notation</u> write the beginning and ending numbers of the interval inside <u>square brackets</u> as the end values are <u>included</u>.
(If the circles were open, and therefore the end values should not be included, use curved brackets).
Therefore the range of the given graph is: [-6, 8]
hi, i wrote down the correct way how to do the formula for questions 5 and 8... im really sorry but i dont really know to explain step by step over just writing so you can just look at the pictures and take whatever you can from them. good luck
Answer:
226.7 cm³
Step-by-step explanation:
The cone volume formula is V = (1/3)(base area)(height).
Here that comes out to V = (1/3)(pi)(3.8 cm)^2·15 cm, or 226.7 cm³
Answer:
10 ft 10 in
Step-by-step explanation:
Note that there are 12 inch in 1 feet. Add corresponding numbers together:
6 ft 2 in + 4 ft 8 in = (6 ft + 4 ft) + (2 in + 8 in) = 10 ft + 10 in
10 ft 10 in is your answer.
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Answer:
m∠P ≅ m∠L; this can be confirmed by translating point P to point L.
Step-by-step explanation:
Angle angle (AA) similarity postulate state that two triangles are similar if two of their corresponding angle is similar. The corresponding angle for each point of the triangles will be:
∠L=∠P
∠Q=∠M
∠N=∠R
Since the 2nd triangle made from dilation, it should maintain its orientation.
Option 1 is true, ∠P corresponds to ∠L. If you move/translate point P to point L, you can confirm it because their orientation is the same.
Option 2 is false, the triangle will be similar if ∠P=∠N but you can't confirm it with translation alone.
Option 3 and 4 definitely wrong because it speaking about length, not the angle.