Answer:
Step-by-step explanation:
B(2,10); D(6,2)
Midpoint(x1+x2/2, y1+y2/2) = M ( 2+6/2, 10+2/2) = M(8/2, 12/2) = M(4,6)
Rhombus all sides are equal.
AB = BC = CD =AD
distance = √(x2-x1)² + (y2- y1)²
As A lies on x-axis, it y-co ordinate = 0; Let its x-co ordinate be x
A(X,0)
AB = AD
√(2-x)² + (10-0)² = √(6-x)² + (2-0)²
√(2-x)² + (10)² = √(6-x)² + (2)²
√x² -4x +4 + 100 = √x²-12x+36 + 4
√x² -4x + 104 = √x²-12x+40
square both sides,
x² -4x + 104 = x²-12x+40
x² -4x - x²+ 12x = 40 - 104
8x = -64
x = -64/8
x = -8
A(-8,0)
Let C(a,b)
M is AC midpoint
(-8+a/2, 0 + b/2) = M(4,6)
(-8+a/2, b/2) = M(4,6)
Comparing;
-8+a/2 = 4 ; b/2 = 6
-8+a = 4*2 ; b = 6*2
-8+a = 8 ; b = 12
a = 8 +8
a = 16
Hence, C(16,12)
The transformations are
- (b) A vertical shift 16 units downward.
- (d) A horizontal shift 16 units to the right
<h3>How to determine the transformation?</h3>
The functions are given as:
f(x) = x
g(x)= x - 16
When a function is shifted right, the transformation rule is:
(x, y) = (x - h, y)
This means that the transformation is (d) A horizontal shift 16 units to the right
Since the parent function is a base linear function.
The transformation can also be represented as:
(x, y) = (x, k - h)
This gives
g(x)= x - 16
This means that the transformation is (b) A vertical shift 16 units downward.
Hence, the transformations are (b) and (d)
Read more about transformation at:
brainly.com/question/11709244
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Answer:
C. 7790.83 cm^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
We know the radius is 12.3
Using 3.14 for pi (This will give us an approximation, not an exact value)
V = 4/3(3.14) (12.3)^3
=7790.82984 cm^3
Answer:
$16.50
Step-by-step explanation:
