Answer:
1). y = -4/7x 2). y = 7/4x - 65/4
Step-by-step explanation:
1). When a line is parallel, the slope remains the same.
y = -4/7x + b
-4 = -4/7(7) + b
-4 = -4 + b
0 = b
The equation is simply y = -4/7x.
2). When a line is perpendicular, the slope becomes the exact opposite.
y = 7/4x + b
-4 = 7/4(7) + b
-4 = 49/4 + b
-65/4 = b
The equation is y = 7/4x - 65/4.
Answer:
The answer is 7/36.
Step-by-step explanation:
First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word <u>or</u> says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.
I believe the answer is (0,0)
Answer:
Step-by-step explanation:
x² + 6x = 8
Coefficient of the x term: 6
Divide it in half: 3
Square it: 3²
Add 3² to both sides of the equation to complete the square and keep the equation balanced:
x² + 6x + 3² = 8 + 3²
(x+3)² = 17
