factor completely:
4x^3 - 36x
whoever answers right in the next five minutes get the brainiest thing
∠A = 106.3°, ∠B = 20.6°, ∠C = 53.1°
Step-by-step explanation:
In a ΔABC, the sides opposite to the angle A is a, angle B is b, and angle C is c. a = 60 , b= 22, c = 50
We can find any one angle by cosine rule,
a² = b² + c² - 2 bc cos (A)
60² = 22² + 50² - 2(22)(50) cos A
3600 = 484 + 2500 - 2200 cos A
3600 = 2984 - 2200 cos A
3600 - 2984 = -2200 cos A
616 = -2200 cos A
cos A = 616/ -2200 = -0.28
A = cos⁻¹ (-0.28) = 106.3°
Now we can use sine rule to find angle B as,
sin A/ a = sin B / b
sin 106.3° / 60 = sin B / 22
sin B = 22 × sin 106.3° / 60
B = sin⁻¹ (22 × sin 106.3° / 60 ) = 20.6°
As we know the sum of angles in a triangle is 180°.
∠A + ∠B + ∠C = 180°
106.3° + 20.6° + ∠C = 180°
126.9° + ∠C = 180°
∠C = 180° - 126.9° = 53.1°
Answer:
133
Step-by-step explanation:
Writing the expression 3m - 4n - 8 as a sum helps to identify its individual terms, which are 3m, -4n, and -8.
The expression 3m - 4n - 8 can be written as a sum of its terms by separating each term with a plus sign (+) : 3m + (-4n) + (-8),
Writing the expression as a sum helps to identify the individual terms. In this case, the terms are:
Term 1: 3m
Term 2: -4n
Term 3: -8
By breaking down the expression into terms, we can see the coefficients and variables associated with each term. Each term represents separate component of expression, and by identifying them, we analyze and manipulate the expression more effectively.
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The domain of f o g is all x-values less than or equal to 1/4. So, the correct answer is B. 1.
What is Function ?
Function can be defined in which it relates an input to output.
To determine the domain of f o g, we need to first find the composition of f and g.
f o g(x) = f(g(x))
= √4(1/x - 4) = √(4/x - 16)
The domain of f o g is the set of all x-values for which the expression √(4/x - 16) is defined.
For the expression under the square root to be defined, we need:
4/x - 16 ≥ 0
4/x ≥ 16
x ≤ 4/16
x ≤ 1/4
Therefore, the domain of f o g is all x-values less than or equal to 1/4. So, the correct answer is B. 1.
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