The vertex is in essence the turning point of the parabola y = x²<span> − 10x + 2
the x coordinate of the turning point = </span>
=
= 5
when x = 5, y = (5)² - 10(5) + 2
= -23
Thus coordinate or vertex is ( 5, -23)
Angle A = 3x - 10
Angle B = x
Their angle sum = 90° ( complementary angles form 90° )
This can be written in an equation as =
= 3x - 10 + x = 90
= 3x + × + ( -10 ) = 90
= 4x + (-10) = 90
= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )
= 4x = 100
= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )
= x = 25
Angle A = 3x - 10
= 3 × 25 - 10
= 75 - 10
= Angle A = 65°
Angle B = x = 25°
Their sum = 65 + 25 = 90°
Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .
Answer:
Its A
Step-by-step explanation:
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Answer:
9:15
Step-by-step explanation:
The equation of the line in slope intercept form is y = - 1 / 2x + 4
<h3>How to write equation in slope intercept form?</h3>
The equation in slope intercept form is represented as follows:
y = mx + b
where
Therefore,
using the points (2, 3)(0, 4)
m = 4 - 3 / 0 - 2 = 1 / -2 = - 1 / 2
Hence,
b = 4
Therefore, the slope intercept equation of the line is as follows:
y = - 1 / 2x + 4
The y-intercept is value of y when x = 0
learn more on equation here: brainly.com/question/27806296
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