Answer:
- ABCD is a rhombus, and a parallelogram
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<h3>Given </h3>
- Points A(-6, - 1), B(4, - 6), C(2, 5), D(- 8, 10)
First, plot the points (see attached picture).
Then, connect all the points.
<h3>We see that:</h3>
- Opposite sides are parallel,
- Diagonals are perpendicular.
From our observation the figure is rhombus.
Let's confirm it with the following.
1) Find midpoints of diagonals and compare.
- AC → x = (- 6 + 2)/2 = - 2, y = (- 1 + 5)/2 = 2
- BD → x = (4 - 8)/2 = - 2, y = (- 6 + 10)/2 = 2
The midpoint of both diagonals is same (- 2, 2).
2) Find slopes of diagonals and check if their product is -1, this will confirm they are perpendicular.
- m(AC) = (5 - (-1))/(2 - (-6)) = 6/8 = 3/4
- m(BD) = (10 - (-6))/(-8 - 4) = - 16/12 = - 4/3
- m(AC) × m(BD) = 3/4 * (- 4/3) = - 1
<u>Confirmed.</u>
So this is a rhombus and also a parallelogram but <u>not</u> rectangle or square, since opposite angles are not right angles.
30$ originally - 21$ paid = 9$ discount
> divide the discount by the original price, multiply by 100 to get the percent decrease.
100 x (9$ / 30$) = 30% discount
> So the shoes where on sale for 30% off the original price.
for the equation:
100 x (30-21)/30 = % decrease
Here is the answer:
if you need step by step let me know
Answer:
g(n) = -29×(-4)ⁿ⁻¹
Step-by-step explanation:
This the recursive formula of a sequence g :
g(1)=-29
g(n)=g(n-1)x(-4)
now ,we want to deduce the standard explicit formula of that sequence
It’s clear from the recursive formula (above) that :
_The common ratio = -4
_the first term = -29
Then
the standard explicit formula is : g(n) = -29×(-4)ⁿ⁻¹
A. I can explain later if you want me to