Answer:
Determine whether lines are parallel or perpendicular given their equations; Find equations of . We can begin by using point-slope form of an equation for a line. No. For two perpendicular linear functions, the product of their slopes is –1.
Step-by-step explanation:
Answer: 21 quarts of blue paint
Step-by-step explanation: To make a batch of purple paint, it is necessary 2 quarts of red and 3 quarts of blue, resulting in 5 quarts of purple.
So, to make 35 quarts of purple:
5x = 35
x = 7
It is needed, in total, 7 quarts of purple.
As, the ratio is 2 quarts of red to 3 quarts of blue:
Blue: 7 x 3 = 21
For 35 quarts of purple paint, it's necessary 21 quarts of blue paint.
Answer:

Step-by-step explanation:
THe slope of a straight line is given by the formula:

Where
m is the slope
x_1 and y_1 are the first coordinate pair points [(2,3)]
x_2 and y_2 are the second coordinate pair point [(8,6)]
So, we know that:
x_1 = 2
x_2 = 8
y_1 = 3
y_2 = 6
Now we substitute and find the value of slope to be:

According to the given information and what we know about a standard deck of cards, there are 4 fives in a deck of 52 cards.
To find the probability of drawing a five divide the number of fives by the total number of cards: