Answer:
y = 1/3(x + 5)^2 - 4
Step-by-step explanation:
The general vertex form is;
y = a(x-h)^2 + k
From the question, (h,k) are the coordinates of the vertex which is (-5,-4)
So we have
y = a(x + 5)^2 -4
So we need to get the leading coefficient
Simply substitute the point it passes through
x = -2 and y = -1
-1 = a(-2 + 5)^2 - 4
-1 = a(3)^2 -4
-1 = 9a -4
9a = 4-1
9a = 3
a = 3/9
a = 1/3
So the equation is;
y = 1/3(x + 5)^2 - 4
Answer:
48.2°
Step-by-step explanation:
If a 15' ladder is leaned up against a building so that the bottom of the ladder is 10' from the base of the building, what angle does the ladder make with the ground
Let the angle the ladder makes with the ground be represented by x
We solve the above question using the Trigonometric function of Cosine
cos x = Adjacent/Hypotenuse
Adjacent = 10 inches
Hypotenuse = 15 inches
Hence,
cos x = 10/15
x = arc cos (10/15)
x = 48.189685104°
Approximately = 48.2°
Therefore, the angle the ladder makes with the ground is 48.2°
Answer:
18 units.
Step-by-step explanation:
If you plot the points on a graph then you can clearly see where point D goes, (-2, 3). Then, you can find the side length, which is 4.5 units. Multiply that by 4 and you get 18 units.
Answer:
1 divided by 20 is equal to 0.05.
Step-by-step explanation:
In this problem, we need to find 1 divided by 20 is equal to what.
1 should be in the numerator and 20 should be in the denominator.
Hence, 1 divided by 20 is equal to 0.05.
