The arc length is the product of the angle measure in radians and the radius.
... s = r·θ
So, the angle in radians is the ratio of arc length to radius.
... θ = s/r
To convert from radians to degrees, multiply by the conversion factor 180°/(π radians).
... y = s/r·(180°/π)
Then the angle is between
... 15/20·180/π ≈ 42.97
and
... 16/20·180/π ≈ 45.84
Suitable integers in this range are 43, 44, and 45.
One possible integer value of y is 44.
Answer: The side length of the white square is b-a, so the combined area of the four right triangles is c^2-(b-a)^2.
Step-by-step explanation: iready
All I can think of is (5,0) (0,5)
Hopefully it helps.
Step 1: convert the equation into fhe vertex form
To do you can complete squares:
y = - [x^2 + 4x + 3]
y = - [ (x + 2)^2 - 4 + 3]
y = - [ (x + 2)^2 - 1] = - (x+2)^2 + 1
Then the vertex is (-2, 1)
Now you can drasw the vertex
Step 2: Find the roots (zeros)
y = - [ (x + 2)^2 - 1] = 0
(x + 2)^2 - 1 = 0
(x+2)^2 = 1
(x+2) = (+/-) √1
x + 2 = (+/-1)
x = - 2 +/- 1
x = -1 and x = -3
Now you draw the points (-1,0) , (-3,0)
Step 3: find the interception with the y-axis.
That is y value when x = 0
y = - (0)^2 - 4(0) - 3 = -3
Then draw the point (0, -3)
Step 4: given that the coefficent of x is negative (-1) the parabola is open downward.
So, with those four points: vertex (-2,1), (-1,0), (-3,0) and (0,-3), you can sketch the function.
