Answer:answer choices?
Step-by-step explanation:
Answer:
Step-by-step explanation:
x = 90 - 54 = 36
Answer:
x = 36
Step-by-step explanation:
The sum of all the angles in a triangle is 180
Add the known angles together
54 + 90 = 144
then subtract 180 and 144 to find x
180 - 144 =36
Answer:
(-∞, 3) ∪ (3, 4) ∪ (4, ∞)
Step-by-step explanation:
Steps:
1. Read and understand the question. Here, you're being asked for the domain of a rational function, one with a 2nd-degree polynomial in the denominator. The domain is the set of x-values for which the function is defined.
2. Understand that the function will be undefined when the denominator is zero, so to answer the question, you must find the values of x that make the denominator zero.
3. Use any of the methods you have been taught to determine the zeros of the denominator polynomial. For this one, it is convenient to factor it:
x² -7x +12 = (x -3)(x -4)
The values of x that make this zero are 3 and 4, so these values are excluded from the domain.
4. Write an expression in interval notation that includes all real numbers except 3 and 4. That is, you want to translate this to interval notation:
(-∞ < x < 3) ∪ (3 < x < 4) ∪ (4 < x < ∞)
Using what you know about interval notation, you write it as ...
(-∞, 3) ∪ (3, 4) ∪ (4, ∞)
point at (-3,8)
Answer:
Step-by-step explanation:
If we know the slope and a point, we can easily write it in point-slope form
2.7(r - 8) = -2(r + 1)
Answer:
1. p = -4
2. r = 6
Step-by-stepexplanation:
Answer: The height of fir tree is 9 meters and the height of pine tree is 12 meters.
Step-by-step explanation:
Given : The combined height of one fir tree and one pine tree = 21 meters.
Since, the height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.
Let x be the height of fir tree and y be the height of pine tree.
Then we get the following equations:
Adding (1) and (2) we get
Substitute the value of x in (1), we get
Hence, the height of fir tree is 9 meters and the height of pine tree is 12 meters.