Gradient of line= (y2-y1)/(x2-x1)
Gradient of line= (10-(-6))/(8-4)
Gradient of line= 16/4
Gradient of line= 4
Y-intercept
Y=4x+c
When x=8, y=10
10=32+c
c= -22
Equation of line
Y=4x-22
When x=b, y=2b
Y=4x-22
2b=4b-22
22=2b
b=11
The correct option is the first one. Independent events are exactly what you're asking for: the information you have on one event doesn't affect in any way the probability of the other.
A classic example is the roll of two dice: assume that you roll the first one and get a 4. Does this imply anything on the outcome of the second die? No, all events 1,2,3,4,5,6 are still equally distributed, no matter the result of the first die.
Answer:
CD with the line bar over it ↔
DC with the line bar over it ↔
Step-by-step explanation:
There are two possible names for the line
CD with the line bar over it ↔
DC with the line bar over it ↔
We need the line bar over it to indicate it is a line and not a line segment. A line goes on infinitely in both directions while a line segment stops
So we cant do anything until the 'y' in the 2nd problem is by the 2x. So after we move the 2x over the equation will look like this, "-2x+y=-6."
Now that that is set up we can make our equation.
(12x+5y=30) - (-2x+y=-6)
We have to multiply the second equation by -6 in order to cancle out the X's. That comes out to (12x-6y=36)
Now the equation looks like (12x+5y=30) - (12x+6y=36)
After you subtract you have (-y=-6)
divide by (-1) and you're left with y=6
The larger angle is 55 deg at the larger angle.
We have to know which angles are called Complementary Angles...
if we add two angles and the total will be equal to 90 deg
let's say one angle is x and another angle is y
as they are complementary angles from the definition we can write the equation x + y = 90
one angle is 20 deg more than another one so from the above condition we write x = 20 + y
Substitute the value of x in the first eaquation we get, 20 + y + y = 90
Then, 20 + 2y = 90
subtracting 20 from both sides,
2y = 90-20 = 70
dividing both sides by 2,
2y/ 2 = 70 / 2
y = 35
So we got one angle is 35 deg
another angle is 35 + 20 = 55 deg.
Our answer is 55 deg the larger angle.
To learn more about the measure angle visit:
brainly.com/question/25716982
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