The simplest form of 21:28 is 3:4. you just divide both numbers by the greatest common factor.
5 1/7 x 1/9= 36/7 ×1/9= 4/7
8-3/2= 8-1 1/2= 7 1/2
Answer:
y = 5x + 20
Step-by-step explanation:
Here, we want to find the slope intercept form equation of the trend line
The general form is:
y =
mx + b
b is slope and m
is the y-intercept
b = 20
To get the slope, we select any two points and use the slope formula
we have the points;
(10,70) and (5,45)
The slope formula is;
m = (y2-y1)/(x2-x1) = (45-70)/(5-10) = -25/-5 = 5
The equation of the line is thus;
y = 5x + 20
NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹
