Answer:
Point slope form:
The equation of line is given by: .....[1]
where m is the slope and a line contains a point .
As per the given statement:
Slope(m) = 3
. = (2, 1)
Substitute these in [1] we have;
therefore, the point slope form of a line with slope 3 that contains the point (2, 1) is;
Answer/Step-by-step explanation:
a. First, find the value of a.
Sum of the interior angles of a triangle = 180° (triangle sum theorem)
Therefore:
3a + 2a + a = 180°
Add like terms
6a = 180°
6a/6 = 180/6
a = 30
Thus:
a = 30°
2a = 2(30) = 60°
3a = 3(30) = 90°
b. The triangle is an isosceles triangle because it has two sides that are indicated to be equal. This also implies that the angels opposite each of the equal sides are also congruent to each other.
Therefore, sum of the isosceles triangle would be:
2(2x) + 5x = 180°
4x + 5x = 180
9x = 180
9x/9 = 180/9
x = 20
Thus:
2x = 2(20) = 40
5x = 5(20) = 100
Answer:
Honestly i might be wrong but i did some math and got the first one
Step-by-step explanation:
soryy if im wrong 144a^3
Answer:
$6,322.11
Step-by-step explanation:
The future value of a lump sum (S) invested today at an interest rate 'r' for a period of 'n' years, if interest is compounded annually is:
In order to obtain $11,200 after 6 years, the required investment at a 10% rate per year is:
You need to deposit $6,322.11 today in order to reach your goal in 6 years.