Answer:
Part A = D
Part B = 5 and 50
Step-by-step explanation:
Part A:
area = 5*4x = 20x
so, 
Part B:
to leave it only by x, you divide both sides by 20
100/20 = 5, 1000/20 = 50
which 
One number is 4 times the other, so x and 4x.
The sum of two numbers is 4x+x=70.
Solve for x to get
x=70/5=14
the other number is 4x=4*14=56
8)
is -0.896 radians
9) length of arc is 41.91 cm
Solution:
8)
Given that,

is in quadrant 4
To find: 
From given,

Thus value of
is -51.34 degrees
Convert degrees to radians

Thus
is -0.896 radians
9)
From given,
radius = 15.4 cm

<em><u>The length of arc when angle in radians is:</u></em>

Thus length of arc is 41.91 cm
Answer:
A
Step-by-step explanation:
The projection of vector B on unit vector a is
(B•a)a
av(unit vector of v)= 1/√2(-1,1)
u•av= 1/√2 × (-5+7)= √2
(u•av)av= √2 × 1/√2(-1,1)= (-1,1)
The solution to the composite function f(g(x)) is 9x² - 78x + 165.
<h3>
What is composite function?</h3>
A composite function is generally a function that is written inside another function.
Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.
From the given composite function, the solution is determined as follows;
to solve for f(g(x)), we use the following methods.
f(x) = x² + 2x - 3, g(x) = 3x - 14
f(g(x)) = (3x - 14)² + 2(3x - 14) - 3
= 9x² - 84x + 196 + 6x - 28 - 3
= 9x² - 78x + 165
Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.
Learn more about composite function here: brainly.com/question/10687170
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The complete question is below:
F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))