Answer:
domain is (-∞,∞)
(-∞,0) U(0,∞)
Step-by-step explanation:
The domain is the set of x values for which the function is defined
In f(x) there is no restriction for x. the function is defined for all x values
so domain is (-∞,∞)
The domain is the set of x values for which the function is defined
when x=0, e^0=1 that makes the denominator 0
Denominator 0 is undefined. So x cannot be 0
domain is (-∞,0) U(0,∞)
For this problem, I believe you can use the Pythagorean Theorem
The Pythagorean Theorem is a^2 + b^2 = c^2
Because you are looking for the hypotenuse, you should be able to plug the numbers in that way.
9^2 + 15^2 = c^2
81 + 225 = c^2
306 = c^2
Find the square root for 306 (Its going to be a multi-decimal number)
x = 17.5 (when rounded to nearest tenth)
x = 17 (when rounded to the nearest whole number)
Answer:
The set of rigid motions could be used to show that triangle ABC is congruent to triangle DEF is " a horizontal translation and a vertical translation" ⇒ D
Step-by-step explanation:
- Horizontal translation means move the object right or left
- Vertical translation means move the object up or down
- Translation horizontally or vertically not change the direction of the object or its size, then the image is congruent to the original object
- Rotation and reflection change the direction of the object but do not change its size
∵ Δ DEF has the same direction as Δ ABC
∵ Δ DEF is congruent to Δ ABC
∴ The translation is using
∵ Δ DEF is right and below to Δ ABC
∴ There are horizontal and vertical translation
The set of rigid motions could be used to show that triangle ABC is congruent to triangle DEF is " a horizontal translation and a vertical translation"
A.P. series would be: 201, 204, 207 .... 597
Here, a = 201, d = 3, l = 597
Now, l = a + (n - 1) d
597 = 201 + (n - 1)3
597 - 201 = 3n - 3
396 + 3 = 3n
n = 399/3
n = 133
In short, Your Answer would be 133
Hope this helps!
Answer:
Step-by-step explanation:
