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 expression r - 5√r+r² is a polynomial.
<h3>What is a polynomial?</h3>
Mathematical expressions called polynomials have one variable and many exponents.
The algebraic expression must have all of its exponents be non-negative integers in order for it to be a polynomial. As a general rule, an algebraic expression isn't a polynomial if it contains a radical.
No part of an algebraic expression should be - Variables' square roots. variable powers that are fractional. variable powers that are negative. variables in any fraction's denominator.
Exponents, variables, and constants make up a polynomial. The amount of terms a polynomial has determines its name.
Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.
The idea of the graph of a polynomial equation was first introduced by René Descartes in La géometrie, published in 1637.
To learn more about polynomial refer to:
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The population standard deviation, σ = 1.68, the sample standard deviation, s = 1.95, the sample mean =7.23, and the sample size, n = 39.The test statistics is given by
T=(n - 1) (s / σ)²
= (39 - 1) (1.95 / 1.68)²
= 38 (1.35)= 51.196
