Answer:
A. The y-intercept is 8 and the slope is 
Step-by-step explanation:
The point where line meets y-axis is called the y-intercept.
So, y-intercept = (0, 8)
Slope is the direction of line and it is calculated as,
where (x₁, y₁) and ( x₂, y₂) are any two points on the line.
Let (x₁, y₁) = (0, 8) and (x₂, y₂) = (6, 0)
∴ 
⇒ 
Hence, Option (A) is correct.
<span>the answer is
sin x +2sin x cos x=0
</span>sin x(1 +2 cos x) =0, so sin x =0 or (1 +2 cos x)=0, implies <span>cos x =-1/2</span><span>
the solutions are x= arc sin 0 = 2Pi +2kpi or x=arccos (-1/2)=2Pi/3 +2kpi</span>
Answer:
B. 24.3°
Step-by-step explanation:
Apply the sine rule to solve for x
Thus:
Multiply both sides by 8
x = 24.3° (nearest tenth)
2/x + 9<span>
"nine more than" + 9
"the quotient" </span><span>÷
"of two" 2 </span><span>÷
"and a number x" 2 </span><span>÷ x
</span><span>2/x + 9</span>
Answer:
1, 5, 15
Step-by-step explanation:
First, I knew 5 was one of them because, 5 was the median and there were only three numbers. Next you have to find out the first and last number. Then, I looked at the mean. To get the mean, you have to add all of the numbers up and divide that by how many numbers there are. Since the mean is 7 and there are 3 numbers, I knew that the sum of all three numbers was 21 because, 21 divided by 3 is 7. Then I saw that the range of all the numbers was 14. The range is the difference between the largest and smallest number so I knew that the largest number subtracted by the smallest number had to be 14. Then, I saw that 15-1=14, and 1+5+15=21. So the three integers are, 1, 5 and 15.
