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Answer:
39.82
Step-by-step explanation:
to find the entire area of the figure, you'll have to split it up into two parts:
a. triangle
b. semi-circle
therefore, the formula for the area of a triangle is 1/2(base)(height). in simpler terms, it means to multiply 1/2 by the base and the height. in this case, multiply 1/2 x 5 x 12, which gives you 60/2, which ultimately gives you 30.
to find the area of the semi circle, use the area formula for a circle and divide the area by 2. the formula is: π. so, plug in your lengths. this gives you, π(5)^2. divide this by two. you should get an answer of 9.82
finally, add your two areas (30+9.82), which equals 39.82
hope this helps!<3
We have the equation
Let's complete the square, to do it let's add and subtract 25 on the right side
Now we can have y in function of x
Now we can already identify the vertex because it's in the vertex form:
Where the vertex is
As we can see, h = 5 and k = -2, then the vertex is
Now we can continue and find the focus, the focus is
We have a = 1/20, therefore
The focus is
And the last one, the directrix, it's
Then
Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7
Both equations are lines with a slope of 2. They will be parallel. They differ only in their y-intercept.
It can work well to graph the y-intercept, then plot another point that is at some horizontal distance from the y-axis and twice that distance above the y-intercept.
y = 2x + 3
Plot the point (0, 3) and the point (2, 7). Draw a line through those points.
y = 2x - 2
Plot the point (0, -2) and the point (2, 2). Draw a line through those points.
It can work well to graph the y-intercept, then plot another point that is at some horizontal distance from the y-axis and twice that distance above the y-intercept.
y = 2x + 3
Plot the point (0, 3) and the point (2, 7). Draw a line through those points.
y = 2x - 2
Plot the point (0, -2) and the point (2, 2). Draw a line through those points.