Answer:


Step-by-step explanation:
we are given two <u>coincident</u><u> points</u>

since they are coincident points

By order pair we obtain:

now we end up with a simultaneous equation as we have two variables
to figure out the simultaneous equation we can consider using <u>substitution</u><u> method</u>
to do so, make a the subject of the equation.therefore from the second equation we acquire:

now substitute:

distribute:

collect like terms:

rearrange:

by <em>Pythagorean</em><em> theorem</em> we obtain:

cancel 4 from both sides:

move right hand side expression to left hand side and change its sign:

factor out sin:

factor out 2:

group:

factor out -1:

divide both sides by -1:

by <em>Zero</em><em> product</em><em> </em><em>property</em> we acquire:

cancel 2 from the first equation and add 1 to the second equation since -1≤sinθ≤1 the first equation is false for any value of theta

divide both sides by 2:

by unit circle we get:

so when θ is 60° a is:

recall unit circle:

simplify which yields:

when θ is 300°

remember unit circle:

simplify which yields:

and we are done!
disclaimer: also refer the attachment I did it first before answering the question
Answer:
The value of x is -2 and 2.
Step-by-step explanation:
When solve an expression, you have to make the expression equals to 0 by moving all the terms to one side :
x² - 3x - 1 = -3x + 3
x² - 3x - 1 + 3x - 3 = 0
x² - 4 = 0
Next, you have to factorize and solve it :
x² - 4 = 0
x² + 2x - 2x - 4 = 0
x(x + 2) - 2(x + 2) = 0
(x + 2)(x - 2) = 0
x + 2 = 0
x = -2
x - 2 = 0
x = 2
Answer:
We are given the following variables:
p = probability of success / probability to shoot a free throw shot = 0.74
q = probability of failure = 1 – p = 0.26
n = number of samples / number of free throws = 8
We can solve for the average free throws he or she can make in the game using the formula:
average = n * p
average = 8 * 0.74
average = 5.92
round off:
average = 6 free throw shots
We can solve for the variance using the formula:
variance = n * p * q
variance = 8 * 0.74 * 0.26
variance = 1.5392
round off:
variance = 1.54 free throw shots
Step-by-step explanation:
Assuming that the side of the triangle marked 13.5 is tangent to the circle, the there's a right angle where the radius meets the tangent segment. The triangle is then a right triangle and the Pythagorean Theorem applies.