Answer:
(Explanation)
Step-by-step explanation:
Part A:
The graph of y = + 2 will be translated 2 units up from the graph of y = .
If you plug in 0 for x, you get a y-value of 2. The 2 is also not included with the , which is why it doesn't translate left.
This is what graph A should look like:
[Attached File]
Part B:
The graph of y = - 2 will be translated 2 units down from the graph of y = .
If you plug in 0 for x, you get a y-value of -2. The 2 is also not included with the , which is why it doesn't translate right.
This is what graph B should look like:
[Attached File]
Part C:
The graph of y = 2 is a stretched version of the graph y = . Numbers that are greater than 1 stretch and open up and numbers less than -1 stretch and open down.
This is what graph C should look like:
[Attached File]
Part D:
The graph of y = 
is a compressed version of the graph y = . Numbers that are in-between 0 and 1, and -1 and 0 are compressed.
This is what graph D should look like:
[Attached File]
Answer:
yes
Step-by-step explanation:
The side lengths satisfy the Pythagorean theorem, so the triangle is a right triangle.
7.5² +10² = 12.5²
56.25 +100 = 156.25
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You may recognize that the ratios of side lengths are ...
7.5 : 10 : 12.5 = 3 : 4 : 5
A 3-4-5 triangle is a well-known right triangle, as this is the smallest set of integers that satisfy the Pythagorean theorem. They also happen to be consecutive integers, so form an arithmetic sequence. Any arithmetic sequence that satisfies the Pythagorean theorem will have these ratios.
_____
If you're familiar with trigonometry, you know the law of cosines tells you ...
c² = a² + b² - 2ab·cos(θ) . . . . where θ is the angle between sides a and b. This reduces to the Pythagorean theorem when θ=90°, which makes cos(θ)=0. If the sides do not satisfy the Pythagorean theorem, cos(θ)≠0 and the triangle is not a right triangle.
Answer:
Huh
Step-by-step explanation:
<span>The answer to this question is the attached image below: It is the given dominoes in each number that matches to the same number of dominoes that former options has to the latter choices. As shows the solution is given below as to clearly show the equation which is designated to the desired domino.</span>
The three integers are: 12, 13, and 14
12+13=25
25+14=39
