Answer:
The quadrilateral is a rhombus
Step-by-step explanation:
Prove Quadrilateral P(-2, 3) L( 2, 6) U (7,6) S(3, 3) Is a rhombus
A rhombus is a quadrilateral with all its sides equal to each other.
We prove this using the formula
√(x2 - x1)² + (y2 - y1)²
When given vertices (x1, y1) and (x2, y2)
For sides PL
P(-2, 3) L( 2, 6)
√(2 - (-2))² + (6 - 3)²
= √4² + 3²
= √16 + 9
= √25
= 5 units
For sides LU
L( 2, 6) U (7,6)
√(7 - 2)² + (6 - 6)²
= √5²
= √25
= 5 units
For side US
L( 2, 6) U (7,6)
= √(7 - 2)² + (6 - 6)²
= √5² + 0²
= √25
= 5 units
P(-2, 3), S(3, 3)
= √(3 - (-2))² + (3 - 3)²
= √5² + 0²
= √25
= 5 units
From the above calculation,
PL = LU = US = PS = 5 units
Hence, the above quadrilateral is a rhombus
The weight of the package is 12 ounces
<h3>How to solve an equation to determine the weight of the package?</h3>
The given parameters are
Total amount = $2.76
Domestic rate = $.23 per ounce
The equation to determine the weight of the package is represented as:
Weight = Total amount/Domestic rate
Substitute the known values in the above equation
Weight = 2.76/.23
Evaluate the quotient
Weight = 12
Hence, the weight of the package is 12 ounces
Read more about unit rates at:
brainly.com/question/19493296
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The answer is 200 because 508 divided by 2.54 equals to 200 inches
Answer: (-1, 4) is the vertex of the parabola.
To find the vertex when you are given the equation in vertex form, all you have to do is look at the letters k and h. They will tell you what the vertex is.
It is always (h, k)
There is only one trick in this problem. You have to change "(x + 1)" to "(x - (-1))" since the format of the equation requires "(x - h)".
This makes the h value -1 instead of 1.
Step-by-step explanation:
7.49,7.05, 7.5,7.55,7.505
