Point-slope form is y - y1 = m (x + x1)
First you need to find m [slope] by subtract y2 and y1 and divide it by the outcome of x2 - x1
13 - (-9) = 22
-2 - 9 = -11
22/-11 = -2
Plug in the first point (as instructed) into the equation.
y - (-9) = -2 (x - 9)
Simplify the beginning.
y + [9] = [-2] (x + [-9])
(The brackets are the fill in the blanks)
Statements that best describe the triangle are the following:
1. It is a right triangle, therefore one angle is equivalent to 90°.
2. We can solve for the measurement of the other leg using the Pythagorean theorem c²=a²+b².
3. We can use SOH CAH TOA theorem in solving the other unknowns.
The number is 66.
Solution:
Let the number be x.
To find the number x using given conditions.
Start with the last condition.
It is less than 7 times 8 + 23 = 7 × 8 + 23 = 79
So, the number is less than 79 which implies x < 79.
Using condition (4),
It is greater than 5 times 4 = 5 × 4 = 20
So, the number is greater than 79 which implies x > 20.
Combining condition (4) and (7), we get 20 < x < 79.
Using condition (3) and (5),
The number is a multiple of 11 and 6.
The number which is multiplied by both 11 and 6 is 66, 132, ...
But here x lies between 20 < x < 79.
So x = 66.
66 is not odd number and the sum of the digits is divisible by 2.
Therefore condition (1) and (2) also satisfied.
Hence the number is 66.
Answer:
p(blue or red) = 0.52 = 52%
Step-by-step explanation:
total number of marbles = 7 + 10 + 14 + 19 = 50
number of blue marbles = 7
number of red marbles = 19
number of blue or red marbles = 7 + 19 = 26
p(blue or red) = 26/50
p(blue or red) = 0.52 = 52%