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)
Answer: 7/8 + 4/8 = Exact form- 11/8
Decimal form- 1.375
17/25 - 9/25 = Exact form- 8/25
Decimal form- 0.32
63/46 - 81/46 = Exact form- -9/23
Step-by-step explanation: Hope this helped.
Answer:
x = 15
Step-by-step explanation:
Given
See attachment
Required
Find x
The figure in the attachment is a quadrilateral and the angles in a quadrilateral add up to 360.
So, we have:
90 + 6x + 5+ 10x - 40 + 4x + 5 = 360
Collect like terms
6x + 10x + 4x = 360 - 90 - 5 + 40 - 5
20x = 300
Divide both sides by 20
x = 15
Hence, the value of x is 15
The graph is shown below.
We use an open dot at zero because x is only less than 0,
it's not less than or equal to 0.
So we have an open dot at 0 going to the left.
That is a simple polynomial addition:
(7w3-4w+3)+(5w3-3w-3)
= <span>(7w^3 - 4w + 3) + (5w^3 - 3w - 3)
= </span>7w^3 - 4w + 3 + 5w^3 - 3w - <span>3
= 12w^3 - 7w
= w(</span><span>12w^2 - 7</span>)
