Answer:
An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.
An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.
Step-by-step explanation:
The equation given represents a linear equation in Standard Form (Ax + By = C). Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same. However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other. In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b). When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5. To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b'). To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.
Answer:30
Step-by-step explanation:
45-12=33 nearest tenth is 30
87 dollars hope this helps I can’t really show you how to do it though because I think it will over complicate the problem but
Answer:
The number must be 30.
Step-by-step explanation:
The mystery number is less then 40.
You say its name when you start at 3 and count by 3s. This means that it is a multiple of 3.
You say its name when you start at 5 and count by 5s. This means that it is a multiple of 5.
The only two numbers that are multiples of 3 and 5 and less than 40 are 15 and 30.
Since we have been told that the number is not 15, the number must be 30.