Slope denoted as m can be calculated from 2 diff. points using the formula:
(y2 - y1) / (x2 - x1) = 1 - 12 / 25 - 0 = -11 / 25
Slope-intercept form is y = mx + b. Using a point,
12 = -11/25(0) + b
12 = b
y-intercept is 12.
To summarize, slope is -11/25, negative because decreasing trend and y-intercept is 12.
Answer:
x = 90, y = 43
Step-by-step explanation:
By the SAS theorem (as you can tell by the picture) angles B and C are similar, which means they are both 47 degrees.
Since the triangles are similar (SAS theorem) then angle x must be equal to 90 degrees, because they are on a straight line both angles would need to add up to 180 degrees.
Now that you have two angles out of three, you can solve for the last angle by setting up this equation:
B + D + A = 180
47 + 90 + A = 180
Add 47 and 90 together.
137 + A = 180
Subtract 137 from both sides.
A = 43
x = D and y = A, therefore x = 90 and y = 43.
Answer:
80,94º
Step-by-step explanation:
What I've done is, first draw a triangle with a 90º angle and write down the height (324m) and the tourist's distance (100m).
So I calculated the tangent of the angle of the tourist.
The formula is tan=Oposite side/adjacent
And now with your calculator you press "shift" and "tan". Then introduce 3,24 and it will give you the result (80,94º).
I hope it helped.
Answer:
p < -28
Step-by-step explanation:
This is a simple solve - all we have to do is treat it like a normal equation and solve for p. This involves only one step - subtract 4 from both sides. We now end up with p < -28. And there you are!
Answer:
x + 6
Step-by-step explanation:
If you dont know the value of x you cant solve the problem fully
