If the slope of AB = CD and BC = AD it's a parallelogram:
Slope of AB = 6+1 / -9+5 = -7/4
CD = -2-5 / 3+1 = -74
These are equal.
BC = 5-6 / -1 +9 = -1/8
AD = -2 +1 / 3+5 = -1/8
These are also equal so it is a parallelogram.
Now to find if the diagonals are perpendicular find the slope of the perpensicular points:
AC = 5 +1 / -1 +5 = 6/4 = 3/2
BD = 6+2 / -9 -3 = 8/-12 = -2/3
Because BD is the reciprocal of AC, this means they are perpendicular.
And because AB is not perpendicular to AD ( AB and AD are not reciprocals) it is a rhombus.
Answer:
x^8
Step-by-step explanation:
The applicable rule of exponents is ...
(x^a)(x^b) = x^(a+b)
Here you have ...
(x^3)(x^5) = x^(3+5) = x^8
Answer:
∴ ∑₁⁸i = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8
Step-by-step explanation:
Given:
To Find:
∑₁⁸i =?
Solution:
Σ This symbol called Sigma means "summation up"
∴ ∑ n mean sum for all n
But if ∑₁³n means Sum for n=1 , 2 ,and 3 ADD
∴ ∑₁³n = 1 + 2 + 3
∴ ∑₁⁸i = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8
The answer is C. Factor the equation: 2x^2 + 10x + 12 which gives you............. 2(x + 2) (x + 3), and then cancel out (x + 3) because dividing (x + 3) by itself gives you one and the remaining term is 2(x +2) which is the same as 2x +4.
Answer:
About $4.46
because you can't pay 4.466666667
Step-by-step explanation:
6 people
4 tacos------$5.00
2 burgers--$5.30
4 fries-------$9.00
6 juices-----$7.50
_______________
food ---------$26.80
divide $26.80 by the number of people so 6 then you get 4.466666667 and have to round up