Answer:
Step-by-step explanation:
We are given;
- A point (6, -4)
- An equation of a line, 9x - 3y = 9
We are required to determine the equation a line passing through a point (6, -4) and perpendicular to the given line;
- To answer the question we need to get the gradient of the given line first.
- We write the equation 9x - 3y = 9 in the form of y = mx + c, where m is the slope;
y = 3x -3
- Thus, the slope of the line is 3
But; m₁ × m₂ = -1 (For perpendicular lines)
Therefore;
m₂ = -1 ÷ 3
= -1/3
Therefore, the slope of the line in question is -1/3 and the line passes through (6, -4).
To get its equation, we get another point (x, y)
Then;
Thus;
In the form of slope-intercept, the equation will be;
Thus, the equation of the line is;
The answer is 3. Hope it helps
758, you go by the one's number first. 5 and up rounds up to 10, so we goto the next number 50, 5 rounds up to 10, so up from 50 goes to the next hundred. 800 is the nearest hundred.
If two lines intersect, then there are two possibilities
A) The lines intersect at exactly one point. This happens if the slopes of the two lines are different (the y intercepts may or may not be the same).
B) The lines intersect at infinitely many points. This happens when both slopes are the same and when both y intercepts are the same. In short, the two equations are identical. Often they may be written in different forms. For example, the equation y = 2x+1 and 2y = 4x+2 are the same equation. Divide everything in equation (2) by 2 and you'll get equation (1).
Answer:
area = 697.5 ft²
Step-by-step explanation:
Think of an outer large rectangle minus a smaller upper rectangle.
area = LW - lw
area = (45 ft)(20 ft) - (45 ft - 10 ft - 8 ft)(7.5 ft)
area = 900 ft² - (27 ft)(7.5 ft)
area = 900 ft² - 202.5 ft²
area = 697.5 ft²
