Slope-intercept form: y = mx + b [m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y) or the point where the line crosses through the y-axis]
For a line to be perpendicular to another line, the slope has to be the negative reciprocal of the original line's slope.
For example:
Slope(m) = 
Perpendicular line's slope: 
or -2 [positive to negative]
m = 
or -3
Perpendicular line's slope: 
[negative to positive]
y = -x + 3
m = -1 So the perpendicular line's slope is 1, now plug it into the equation
y = mx + b
y = x + b To find b, plug in the point (3, 1) into the equation
1 = 3 + b Subtract 3 on both sides to get b by itself
1 - 3 = 3 - 3 + b
-2 = b The y-intercept is -2
Answer:
58
Step-by-step explanation:
Angle NPO is a right angle, then the angle 32 is equal to angle PNO, so x = 90 - 32 = 58.
Answer:
Step-by-step explanation:
Let c represents child bikes and a represents adult bikes.
Given : Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test.
With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week.
Then, the required system of inequality :-
If company make 10 child bikes and 12 adult bikes in the week.
Then Put c=10 and a=12 bikes in (1) and (2).
⇒Bike order meets the restrictions
⇒Bike order meets the restrictions
Hence, the system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week.
Answer:
A
Step-by-step explanation:
The area (A) of a triangle is calculated using the formula
A = bh ( b is the base and h the perpendicular height )
here b = 14 and h = 4, hence
A = (14 × 4) = 28
Answer:
Tom's share = €800
Step-by-step explanation:
Given that:
Amount shared by Al, Tom and Joe = €3000
Ratio of Al's share to Tom's share = 5 : 4
Joe's share = 1.5(Tom's share) = 1.5(4) = 6
Therefore,
Ratio of Al, Tom and Joe = 5 : 4 : 6
Let,
x be the number of times of amount each get.
5x + 4x + 6x = 3000
15x = 3000
Dividing both sides by 15
Tom's share = 4x = 4(200) = €800
Hence,
Tom's share = €800
