<u>Part 1: Finding radius</u>
The radius of a circle is defined as the distance from the center to a point on the circle's circumference.
Using the distance formula,
<u>Part 2: Finding the point with x-coordinate -15</u>
Let the y coordinate of the point be y. Then, we have the point (-15, y). Substituting into the distance formula,
The only thing in the question I am not totally certain about is the definition of a 'zero' on a polynomial - I will assume this means an x-intercept, which seems to make sense since these are the points where the value of the function is zero.
Taking the first polynomial: the maximum number of turning points for a polynomial of order n is (n-1). Take the example of a quadratic, which always has 1 turning point. Therefore the minimum order of the first polynomial is 6.
The maximum number of x-intercepts for a polynomial of order n is n. Therefore the second polynomial has a minimum order of 6.
Multiplication of two polynomials can get very messy very quickly. However, picture putting the two in brackets next to each other, such that the terms are in decreasing orders. You can easily see the maximum order term is found by multiplying the first term in each bracket. A polynomial's order is judged solely on the maximum power of the variable, so this is all we need to consider.
This multiplication becomes ax^6 * bx^6 where a and b are arbitrary constants in this context. Hence this product is abx^12 (exponents add when the terms are multiplied, where 12 = 6 + 6), so minimum degree of new polynomial = 12
Length in units:
Use phytogoras theorem or measure it by a ruler if your using a graph paper
AB = 5.65 units
AC = 5.83 units
CB = 1.41 units
Perimeter =5.65 + 5.83 + 1.41 = 12.89 units
Area = 1/2 * 1.41 * 5.65 = 3.98units
For this case we must make a conversion from pounds to kilograms.
By definition we have to:
1 kg equals 2.20462 pounds. Making a rule of three we have:
2.20462 pounds ---------------> 1 kg
127 pounds -----------------------> x
Where "x" represents the amount of kg.
Thus, 127 pounds represent 57.61 kilograms.
Answer:
57.61 kilograms.
Answer:
Ste4
×
y
=
4
×
(
1
4
x
−
5
)
4
y
=
(
4
×
1
4
x
)
−
(
4
×
5
)
4
y
=
(
4
×
1
4
x
)
−
20
4
y
=
1
x
−
20
Next step is to move the
x
term to the left side of the equation by subtracting
1
x
from each side of the equation:
−
1
x
+
4
y
=
−
1
x
+
1
x
−
20
−
1
x
+
4
y
=
−
0
−
20
−
1
x
+
4
y
=
−
20
Now, to make the coefficient of
x
positive we need to multiply both sides of the equation by
−
1
−
1
×
(
−
1
x
+
4
y
)
=
−
1
×
−
20
(
−
1
×
−
1
x
)
+
(
(
−
1
×
4
y
)
=
20
1
x
−
4
y
=
20
or
1
x
−
4
y
=
20p-by-step explanation:
