150 leaves -----100 %
177 leaves ----- x %
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150 : 177 = 100 : x
x = ( 177 * 100 ) : 150
x = 118 %
118 5 - 100 % = 18%
Answer: Her collection increased by D ) 18 %
You would get x by itself first and go from there.
<h2>
Answer: (y - 2) = - ¹/₄ (x - 10) </h2>
Step-by-step explanation:
When two lines are perpendicular, the product of their slope/gradient = -1. Another way of thinking of this is that they are negative-reciprocal of each other.
Let y = 4x + 6 be [a] & the perpendicular line [b]
since the slope of [a] = 4
then the slope (m) of [b] = - ¹/₄
Since we know the slope of [b], we can use the point-slope form (y - y₁) = m (x - x₁); where (x₁ , y₁) = (10 , 2) & m = - ¹/₄
∴ the equation of the perpendicular line : (y - 2) = - ¹/₄ (x - 10)
Answer:
Equation 1: y = 7x + 6
Equation 2: y = -7x + 8
Step-by-step explanation:
Isolate the y variables in both equations
Equation 1:
y - 7x = 6
y = 7x + 6
Equation 2:
y + 7x = 8
y = -7x + 8
So, the equations in slope intercept form are:
Equation 1: y = 7x + 6
Equation 2: y = -7x + 8