To solve this problem you must apply the proccedure shown below:
1- The ladder forms an isosceles triangle, because it has two equal sides.
2- Let's call the angle 
. To calculate it , you can divide the triangle into two equal right triangles and the angle will be divided into two equal parts too. Therefore, you can calculate the half of the angle and then multiply it by two, as following:
The answer is: 
Answer:
(-12,9)
Step-by-step explanation:
The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point on the graph.
Therefore, in the equation (x+12)^2 + (y-9)^2 = 35, the center point on the graph would be (-12,9).
I thank that 46 + 60= 106 miles per hour
106 - 332= 226 miles per hour
Explain: 106+ 226 = 332 miles per hour
Here we are given the three sides of the triangle.
So we have Heron's formula to find its area.
Heron's formula is given by :
where A, B and C are sides of triangle and S is semi perimeter which is given by,
plugging values of A, B and C to find S
S=13.5
Now plugging values of A, B , C and S in Heron's formula
A=26.14 mm²
Answer: Area of triangle is 26.14 mm².
Answer:
axis of symmetry x=3/2
vertex (3/2, 0)
Step-by-step explanation:
to find the axis of symmetry we use h = -b/2a
where ax^2 + bx+c
h = -(-12)/2(4)
h= 12/8
h = 3/2
the axis of symmetry is x = 3/2
the x coordinate of the vertex is h x=3/2
to find k, the y coordinate of the vertex, substitute x=3/2 into the equation
y=4x^2-12x+9
y=4(3/2) ^2-12(3/2)+9
= 4 (9/4) - 6*3 +9
= 9-18+9
= 0
the vertex (3/2, 0)
