Diego is making a large mural. He draws a hexagon with a perimeter of 10.5 meters. Each side of the hexagon is the same length.
1 answer:
Answer:
Part A: 6a = 10.5 and a = 1.75 meters.
Part B: $3.87.
Step-by-step explanation:
Part A: Diego draws a hexagon with a perimeter of 10.5 meters and each side of the hexagon is the same length.
Now, the hexagon has 6 sides and if each side is of length 'a' meters, then the equation that models the situation is
6a = 10.5 ......... (1) (Answer)
⇒ a = 1.75 meters. (Answer)
Part B:
The total cost of supplies to paint the mural is $38.70. Diego and 9 friends divide the cost equally.
Hence, the total cost will be divided into 10 persons.
Therefore, each person will get dollars. (Answer)
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Answer: a= 16
Step-by-step explanation:
We have the following expression:
To find the value of the coefficient "a" you must use the distributive property to multiply the expression:
until you transform it to the form:
Then we have
Therefore the value of a in the polynomial is 16
Answer:
Step-by-step explanation:
Vertex form:
where:
is the vertex
is some constant
Given:
- vertex = (-4, -1)
- point on parabola = (-2, -3)
Substitute given values into the formula to find :
Therefore, the equation of the parabola is:
Answer:
D. a is equal to
Step-by-step explanation:
Let us assume that segment PQ is 8 units, so that its midpoint M is at 4 units to both P and Q.
Given that X is the midpoint of PM, this implies that X is at 2 units to both P and M.
Then;
PX = aPQ
⇒ = a x 8
= 8a
Therefore, a must be equal to , so that;
PX = 8a
= 8 x
= 2 units
Thus, a is equal to is the correct option.