Answer:
The circumcentre of the circle is (0.5,-0.5)
Step-by-step explanation:
Since this is a right triangle, UW is its diameter.
<u>CONCEPT :</u> The angle subtended by the diameter at the circumference of the circle =90°
Hence , center of circle is midpoint of line segment UW.
U(-3,2) and W(4,-3)
Taking the midpoint ,
C(
Center is C(0.5,-0.5) .
Radius = CV =
R =
Equation of circle is
The circumcircle of triangle is (0.5,-0.5)
The given function :
Using completing the squares, we have
[∵
]
(1)
Comparing (1) to the standard vertex form , the vertex of function is at (h,k)=(-1,-4)
For x-intercept, put f(x)=0 in (1), we get
Square root on both sides, we get
∴ x intercepts : x= (-3,0) and (1,0)
For y-intercept put x=0 in (1), we get
∴ y intercept : (0,-3)
Axis of symmetry :
In , a=1 and b=2
Axis of symmetry=
Answer:
x=15
Step-by-step explanation:
Hey There!
So what we want to do is inverse operations from the formula of area of a triangle
The area is equivalent to
h=height
b=base
now we setup an equation with what we are given
we are given A (area) and h(height)
so the equation looks like...
now we solve for b (x)
step 1 multiply each side by 2
75x2=150
/2x2 cancels out
now we have
150=10b
step 2 divide each side by 10
150/10=15
10/10 cancels out
b=15
We can conclude that the base (aka x) is equal to 15