Answer: a = 4
Step-by-step explanation: Area of a triangle is calculated as: 
.
The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.
The points on the x-axis are the roots of the quadratic equation:
a(x-3)(x+2)=0
(x-3)(x+2)=0
x - 3 = 0
x = 3
or
x + 2 = 0
x = -2
So, base is the distance between (-2,0) and (3,0).
Since they are in the same coordinate, distance will be:
b = 3 - (-2)
b = 5
Area of the triangle is 10. So constant a is
5a = 10.2
a = 4
The constant a of the function y = a(x-3)(x+2) is 4.
So I'll start with the mixed number to improper fraction.
Step one - multiply the denominator and the whole number.
Step two- take your product and add it to the numerator
Step three- the sum is the numerator of the mixed number and the original denominator is the denominator
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Now for improper fraction to mixed number
Step one- see how many times the denominator goes into the numerator (ex. 2 goes into 9, 4 times With one left over)
Step two -the 4 becomes the whole number and the 1 the numerator
Step three- use the same denominator
The scientific notation for the number 1063 is 1.063×10³ after using the concept of fraction option (B) 1.063×10³ is correct.
<h3>What is the number?</h3>
A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The number is 1063
As we know the scientific notation can be written as:
1063 can be written as:
= 1063
= (1063/1000)1000
1.063×10³
Thus, the scientific notation for the number 1063 is 1.063×10³ after using the concept of fraction option (B) 1.063×10³ is correct.
Learn more about the number here:
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Answer:
glee
Step-by-step explanation:
