Answer: 43.6 (Rounded to the tenth)
Explanation: Use the method of: SOH CAH TOA.
Using TOA, T = Tangent.
tan(71) = x/15. Using the butterfly method you can just do the following equation:
15 tan(71) = 43.56 (Rounded to tenth) —> 43.6
The expression can represent the value of x in terms of R, m, n and k after rearranging.
<h3>What is an expression?</h3>
It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The expression is:
Square both side:
16m² x n = R²k³
x = (R²k³)/(16m²n)
The above expression represents the value of x in terms of R, m, n and k.
Thus, the expression can represent the value of x in terms of R, m, n and k after rearranging.
Learn more about the expression here:
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Answer:
Step-by-step explanation:
If slope of two lines are equal, then they are parallel lines.
If product of the slope of two lines is (-1), then they are perpendicular lines.
C) y = x + 2
Slope m1 = 1
y = -x + 3
Slope m2 = -1
m1 * m2 = 1 * (-1) = -1
These are perpendicular lines.
D) y = 3x + 2
Slope = m1 = 3
y = 3x - 2
Slope = m2 = 3
Slopes are equal. So, they are parallel lines.
E)y= 3
This line is parallel to x -axis.
x = 4
This line is parallel to y-axis.
So, both lines are perpendicular to each other.
F) y = x + 8
slope m1 = 1
y = -x + 3
Slope = m2 = -1
M1 * m2 = 1 * (-1) = -1
So, These are perpendicular lines
Answer:
2x
Step-by-step explanation:
f(x) – g(x)
f(x) = 5x – 3 and g(x) = 3x – 3
f(x)- g(x) = 5x – 3 -( 3x – 3)
Distribute the minus sign
5x -3 -3x+3
Combine like terms
5x-3x-3+3
2x
Answer:
2x - 3y
Step-by-step explanation:
Distribute -1/4 to all the terms in the brackets.
-1/4(-8x) -1/4(12y)
2x - 3y
