We have a line y = 1/3x -6
We want a line that is perpendicular to this line
Perpendicular lines have slopes that multiply to -1
1/3 * m = -1
3 * 1/3 *m = -1 * 3
m = -3
The slope of the perpendicular line is -3
y = mx+b where m is the slope and b is the y intercept
y = -3x+b
We have a point on the line ( 7 ,-23)
Substitute this point into the equation
-23 = -3(7)+b
-23 = -21+b
Add 21 to each side
-23+21 = -21+21+b
-2 = b
y = -3x-2
In slope intercept form, the line perpendicular passing through (7,-23) is
y = -3x-2
The answer would be 65°.
This is because 180° -50° equals 130°. And 130° divided by two equals 65°. The two remaining angles must be equal because it is an isosceles triangle.
Answer:
You can't answer this question without knowing the total amount of money they all had in total.
The percentage increase China's population from 1970 to 1995 is: 56.25%.
<h3>How to Calculate Percentage Increase?</h3>
Percentage increase = (Final Value - Original Value)/Original value × 100.
Given the following:
Original value = 0.8 billion
Final Value = 1.25 billion
Final Value - Original Value = 1.25 - 0.8
Final Value - Original Value = 0.45
Percentage increase = 0.45/0.8 × 100 = 56.25%.
Learn more about percentage increase on:
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Answer:
Step-by-step explanation:
we have
This is the equation of a vertical parabola open downward
The vertex represent a maximum
Convert the quadratic equation into vertex form
step 1
Factor -2
step 2
Complete the square
step 3
Rewrite as perfect squares
----> equation in vertex form
The vertex is the point (1,5)
