Answer: The area is 15 square units
Step-by-step explanation: It is helpful to sketch the coordinates on a graph to get an idea of what the triangle looks like so you can see which side will be the base, and where to get the height. You will see that AB is the hypotenuse, it is a right triangle, so AC can be the base and BC is the height.
Use the differences in x-values of points C & A to get the length of the base: 2-(-3) is 5
Use the differences in y-values of points B & C to get the height:
4-(-2) = 6
Area = bh/2
A = 5×6/2 = 30/2
A = 15 square unts
Step-by-step explanation:
you know the formulas ?
the area of a circle is : pi×r²
the circumference of a circle is : 2×pi×r
with r being the radius, which is half of the diameter.
so, here, r = 10/2 = 5 m
area = pi×r² = pi×5² = pi×25 or 25×pi m²
circumference = 2×pi×r = 2×pi×5 = 10×pi m
for the approximation we make the calculations with pi on the calculator and round to the nearest hundredth.
area = 25×pi ≈ 78.54 m²
circumference = 10×pi ≈ 31.42 m
This expression is a difference of squares:
Answer:
vertex = (0, -4)
equation of the parabola: 
Step-by-step explanation:
Given:
- y-intercept of parabola: -4
- parabola passes through points: (-2, 8) and (1, -1)
Vertex form of a parabola: 
(where (h, k) is the vertex and 
is some constant)
Substitute point (0, -4) into the equation:
Substitute point (-2, 8) and 
into the equation:
Substitute point (1, -1) and into the equation:
Equate to find h:
Substitute found value of h into one of the equations to find a:
Substitute found values of h and a to find k:
Therefore, the equation of the parabola in vertex form is:
So the vertex of the parabola is (0, -4)
