Hannah is experimenting with a new drawing program on her computer. She created quadrilateral MATH with coordinates M(1, 2). A(-
5, 3), T(- 6,-3), and H(0,- 4). Hannah believes that she has created a square. Prove that Hannah is correct.
1 answer:
Answer:
It is a square, Hannah is a G.
Step-by-step explanation:
You can plug it in for visual, see attachment. You can see that it is a bit rotated square.
But real proof should be done with the points.
For it to be square all sides need to equal each other.
What's the x distance of M and A?
It is 1-(-5) = 1+5 = 6
What is the x distance of H and T?
It is 0-(-6) = 0+6 = 6
What is the y distance of M and H?
It is 2-(-4) = 2+4 = 6
What is the y distance of A and T?
It is 3-(-3) = 3+3 = 6
All are 6 so all sides are equal so it is a square.
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Answer:
The system of inequalities is
The solution in the attached figure
Step-by-step explanation:
<u><em>The question is</em></u>
Write a system of linear inequalities.
Le
x ---> number of scarves knitted per week
y ---> number of knitted sweaters per week
we know that
Mary would like to spend no more than 40 hours per week knitting
The word "No more" means "less than or equal to"
so
----> inequality A
Mary would like to knit at least 5 items per week
The word "at least" means "greater than or equal to"
----> inequality B
Solve the system by graphing
The solution is the triangular shaded area
see the attached figure
