Answer:
Regular Octagon
Step-by-step explanation:
There are only three regular shapes that tessellate – the square, the equilateral triangle, and the regular hexagon. All other regular shapes, like the regular pentagon and regular octagon, do not tessellate on their own.
The mother is older than her daughter by years
Step-by-step explanation:
Mother is m years old, and she is four times as old as her daughter.
we need to find how much older the mother is than her daughter
- Put the age of mother equal 4 times the age of daughter
- Find the age of daughter
- Subtract the age of daughter from the age of mother to find how much older the mother than her daughter
∵ The mother's age = m
∵ Her age is four times as old as her daughter
∴ m = 4 × daughter's age
- Divide both sides by 4
∴ = daughter's age
- Subtract the daughter's age from her mother's age
∵ The difference of their ages = m -
- Change 1 m to a fraction of denominator 4, then 1 m =
∴ The difference between their ages = - =
∴ The mother is older than her daughter by years
The mother is older than her daughter by years
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Answer:
Step-by-step explanation: a real one for the points
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
where
a is a coefficient
(h,k) is the vertex
In this problem we have
(h,k)=(1,-4)
substitute
we have
An x-intercept of (-1,0)
substitute and solve for a
The equation is
<u><em>Verify the y-intercept</em></u>
For x=0
The y-intercept is the point (0,-3) -----> is correct
using a graphing tool
see the attached figure