Using the cosine rule, the equation to use to solve for x is: x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41)) ≈ 3.1 cm.
<h3>How to Use the Cosines Rule to Solve a Triangle?</h3>
The cosine rule is given as, c = √(a² + b² − 2ab × cos(C))
Given the following:
- c = x = ?
- a = 4.0 cm
- b = 4.7 cm
- C = 41°
Plug in the values:
x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41))
x ≈ 3.1 cm
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The expression of Mia's height in cm is 5 + x
<h3>How to write an expression of Mia's height in cm?</h3>
The given parameters are
Mia's height = 5 cm taller than her sister
Her sister's height = x
The parameter "Mia's height = 5 cm taller than her sister" means that
Mia's height = 5 cm + her sister's height
Substitute Her sister's height = x in Mia's height = 5 cm + her sister's height
Mia's height = 5 cm + x
This means that the expression of Mia's height in cm is 5 + x
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Answer:
The Answer is: A. the slope of f(x) is less than the slope of g(x). the Y intercept of f(x) is equal to the Y intercepts of g(x).
Step-by-step explanation:
Given points for f(x): (0, 1), (2, 4), (4, 7)
Given equation for g(x): g(x) = 2x + 1
Slope for g(x): m = 2
Calculate points for g(x):
g(0) = 1, giving (0, 1)
g(1) = 3, giving (1, 3)
g(2) = 5, giving (2, 5)
g(4) = 9, giving (4, 9)
Calculate the slope for f(x):
m = (y - y1) / (x - x1)
m = 1 - 4 / 0 - 2
m = -3/-2 = 3/2
The slope m = 3/2 of f(x) is is less than the slope m = 2 of g(x). The y intercept for each equation is 1 because g(0) = f(0) = 1 .
Hope this helps!! Have an Awesome day!!! :-)
