The angle measurements of angle B as represented in the diagram shown is 150°
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
From the diagram:
∠A = ∠B (alternate interior angles)
Hence:
8x - 10 = 3x + 90
x = 20
∠B = 3(20) + 90 = 150°
The angle measurements of angle B as represented in the diagram shown is 150°
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All are negative exponent property except for the top right one
2x + y - 6 = 0
given 2x + y = 6 ( subtract 6 from both sides )
2x + y - 6 = 0 ← in general form
Answer: (2,-1)
Solution:
The critical points of a function are those where the first derivative is zero.
Find the first derivative of f(x), d f(x) / dx
1) Given: f(x) = -x^2 + 4x - 5.
2) d f(x) / dx = d [ - x^2 + 4x - 5] / dx = -2x + 4
3) Equal d f(x) / dx to 0
d f(x) / dx = -2x + 4 = 0 => 2x = 4, => x = 2
4) Replace 2 in the function f(x)
f(2) = - (2)^2 + 4(2) - 5 = - 4 + 8 - 5 = - 1
5) Answer: point ( 2, -1)