y-3=3(x+1)
opening the bracket
y-3=3x+3
y=3x+3+3
equation of the line in the form y=mx+c;
y=3x+6
therefore gradient=3
parallel lines have same gradient therefore gradient of the other line is 3
y--3/x-0=3
y+3=3(x-0)
y+3=3x-0
y=3x-3.
Find the slope using the formula [ y2-y1/x2-x1 ].
-9-(-12)/-15-(-24)
3/9
1/3
Find the y-intercept using the formula [ y = mx + b ].
y = 1/3x + b
-12 = 1/3(-24) + b
-12 = -8 + b
-4 = b
Use (18, 2) to see if the line passes through it
y = 1/3x - 4
2 = 1/3(18) - 4
2 = 6 - 4
2 = 2 TRUE
Thus, the line does pass through (18, 2).
Best of Luck!
Answer: c
Step-by-step explanation:
Answer:
30.25
Step-by-step explanation:
All angles of a line must add up to 180. Since we already know that one angle is 90 degrees, we know that the other angles should add up to 90 degrees in order for all of the angles to add up to 180 degrees:
(3x-7)+(x+8)=90
4x+1=90
4x=89
x=22.25
22.25+8= 30.25
Answer:Probability = 1/8.
Step-by-step explanation:
A number cube has six sides. Each side has a number from 1 to 6. This means that there are 3 even numbers (2, 4, and 6) and 3 odd numbers (1, 3, and 5). Therefore:
P(number cube lands on an even number after roll) = Number of even numbers/Number of total numbers. = 3/6 = 1/2.
Since the cube has to be rolled three times, the probability will be multiplied 3 times (assuming that each roll in independent of each other). Therefore:
P(number cube lands on an even number 3 times after roll) = 1/2 * 1/2 * 1/2 = 1/8.
Therefore, the answer is 1/8!!!
