Answer:
{(-2, -7), (-1, -5), (0, -3), (1, -1), (2, 1)}
Step-by-step explanation:
Consider an element in the set we want to achieve. This element can be written as the ordered pair (x, y), where x comes from the set {-2, -1, 0, 1, 2} and given some value of x, we can find y (with the formula y = 2 * x - 3).
So to begin finding the set of all pairs in the resulting set, we first begin by listing out all values of x in each pair:
(-2, y)
(-1, y)
(0, y)
(1, y)
(2, y)
Now to find y, we use the formula y = 2 * x - 3, and we get
(-2, 2 * (-2) - 3)
(-1, 2 * (-1) - 3)
(0, 2 * (0) - 3)
(1, 2 * (1) - 3)
(2, 2 * (2) - 3)
which simplifies to
(-2, -7)
(-1, -5)
(0, -3)
(1, -1)
(2, 1)
The pencil is 19.05 centimeters.
Answer:
Additional information required is
<DBA = 90°
Step-by-step explanation:
<DBA + <DBC = 180° [Linear pair]
=> <DBA = 180° - <DBC
=> <DBA = 180 - 90
=> <DBA = 90
Hence, both the angles <DBA = <DBC = 90°
As we know that when a perpendicular bisector bisects a straight line both the angles should be,
180° ÷ 2 = 90°
And above conditions also prove that
<DBA = <DBC = 90°
<em><u>Hence, DE is a perpendicular bisector of AC </u></em>
Answer:
B. 72
Step-by-step explanation:
The rule of 72 is used as a rough estimate of the number of years required for an investment to double.
According to this rule, the number of years 'n' necessary to double an investment at an annual rate 'r' is:
Therefore, the number that when divided by the interest rate gives the number of years required to double an investment is 72.
The answer is B. 72.
Answer:
The measures of the three exterior angles would be 95, 160 and 105.
