I believe the fastest way to solve this problem is to take any two of the given points and to find the slope and y-intercept of the line connecting those two points.
Let's choose the 2 given points (-3,16) and (-1,12).
Going from the first point to the second, the increase in x is 2 and the increase in y is actually a decrease: -4. Thus, the slope of the line connecting these two points is m = -4/2, or m = -2.
Now use the slope-intercept formula to find the y-intercept, b.
One point on the line is (-3,16), and the slope is m = -2.
Thus, the slope-intercept formula y = mx + b becomes 16 = -2(-3) + b.
Here, b comes out to 10.
So now we have the slope and the y-intercept. Write the equation:
y = mx + b becomes y=-2x+10. Which of the four given answer choices is the correct one?
Answer:
pm+2=8
Step-by-step explanation:
Given,
m=3
p=3
We know,
pm+2=3(3)+2
=3×3+2
=6+2
=8
Given:
There are given that the cos function:
Explanation:
To find the value, first, we need to use the half-angle formula:
So,
From the half-angle formula:
Then,
Since 105 degrees is the 2nd quadrant so cosine is negative
Then,
By the formula:
Then,
Put the value of cos210 degrees into the above function:
So,
Final answer:
Hence, the value of the cos(105) is shown below:
Answer:
approx 7.81 Exactly: √61
Step-by-step explanation:
Use Pythag theorem: 5^2 + 6^2 = hyp^2 (line AS)
25 + 36 = 61
hyp = √61 or about 7.81
