Answer:
<A = 27 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
Tan A = opp side / adj side
Tan A = 2/4
Tan A = 1/2
Taking the inverse tan of each side
tan^-1 ( tan A) = tan ^-1 (1/2)
A =26.56505118
Rounding to the nearest degree
A = 27
<h3>Answer is -9</h3>
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Work Shown:
(g°h)(x) is the same as g(h(x))
So, (g°h)(0) = g(h(0))
Effectively h(x) is the input to g(x). Let's first find h(0)
h(x) = x^2+3
h(0) = 0^2+3
h(0) = 3
So g(h(x)) becomes g(h(0)) after we replace x with 0, then it updates to g(3) when we replace h(0) with 3.
Now let's find g(3)
g(x) = -3x
g(3) = -3*3
g(3) = -9
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alternatively, you can plug h(x) algebraically into the g(x) function
g(x) = -3x
g( h(x) ) = -3*( h(x) ) ... replace all x terms with h(x)
g( h(x) ) = -3*(x^2 + 3) ... replace h(x) on right side with x^2+3
g( h(x) ) = -3x^2 - 9
Next we can plug in x = 0
g( h(0) ) = -3(0)^2 - 9
g( h(0) ) = -9
we get the same result.
Answer:
The answer to your question is y = 2/3x + 4
Step-by-step explanation:
Data
Equation y = 2/3 x + 5
New line = ?
Process
Two lines are parallel if the have the same slope. The slope is the coefficient of the x.
1.- Get the slope of the original line
y = 2/3x + 5
slope = 2/3
2.- Two find the equation of a parallel line we need to point I will use (0, 4)
Use the point slope formula
y - y1 = m(x - x1)
y - 4 = 2/3(x - 0)
y - 4 = 2/3 x
y = 2/3x + 4
Answer:
This property states that if a = b, then b = a.
Step-by-step explanation:
That is, we can interchange the sides of an equation and the equation could still be true
