Step-by-step explanation:
G(x) = (16x − 7) cos³(4x) − 9 sin⁻¹(x)
A) Use product rule, power rule, and chain rule to take the derivative.
G'(x) = (16x − 7) (3 cos²(4x) (-4 sin(4x))) + 16 cos³(4x) − 9 / √(1 − x²)
G'(x) = (-192x + 84) cos²(4x) sin(4x) + 16 cos³(4x) − 9 / √(1 − x²)
Evaluate at x = 0.
G'(0) = (0 + 84) cos²(0) sin(0) + 16 cos³(0) − 9 / √(1 − 0)
G'(0) = 16 − 9
G'(0) = 7
B) Use point-slope form of a line to write the equation.
y − (-7) = 7 (x − 0)
y + 7 = 7x
y = 7x − 7
Answer:
Vertical angles are always congruent.
Step-by-step explanation:
Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.
Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles:
<a and <b,
<c and <d.
Thus, <a is congruent to <b, and <c is congruent to <d.
Therefore, the standby that is true about vertical angles is that:
Vertical angles are always congruent.
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▹ Answer
<em>2c - 2b - a</em>
▹ Step-by-Step Explanation
(c + b + a) + (-2a - 3b + c)
<u>Remove the parentheses</u>
c + b + a + (-2a - 3b + c)
<u>Collect like terms</u>
2c + b + a - 2a - 3b
<u>Final Answer</u>
2c - 2b - a
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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Answer:

Step-by-step explanation:
Given


Required
Write an inequality to represent the scenario?
Represent the additional number of pounds with p.
When p is added to the current pounds, the weight must be less than or equal to the total possible weights
In other words:

Substitute values for current and total

Hence, the inequality that describes the scenario is: 
Multiply the two as area is base times height.