1/8 + 6/8 = 7/8
17 11/13 - 9 7/13 = 8 4/13
2/8 + 4/8 = 6/8 = 3/4
8/4 + 1/4 = 9/4 = 2 1/4
9/10 + 3/10 = 12/10 = 1 1/5
2 - 3/5 = 10/5 - 3/5 = 7/5 = 1 2/5
3/4 * 4 = 12/4 = 3
1/4 * 6 = 6/4 = 1 1/2
Answer:
y = 2x - 3
Step-by-step explanation:
to do this problem, we will use the following formula to find the slope of the line
(y2 - y1) / (x2 - x1)
(1,5) (2,7)
(7 - 5) / (2 - 1)
2 / 1
2 = m
next, we will substitute the slope and one of the points into the slope-intercept form (y = mx + b) and solve for b to find the y-intercept
y = mx + b
7 = (5)(2) + b
7 = 10 + b
-3 = b
finally, we put it all together into one equation
y = 2x - 3
An = a1 * r^(n-1)
-405 = -5*3^(n-1)
3^(n-1) = 81
3^4 = 81 so n-1 = 3 and n = 4
Sn = S4 = -5 (1 - 3^4) / ( 1 - 3) = 400 / -2 = -200 Answer
Answer:
38.7°
Step-by-step explanation:
We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where
SOA stands for
Sin Ф = opposite side/hypotenuses side
CAH stands for
Cosine Ф = adjacent side/hypotenuses side
TOA stands for
Tangent Ф = opposite side/adjacent side
The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.
Considering the triangle with respect to angle x, 8cm is the opposite side, 10cm is the adjacent side
hence
Tan x = 8/10
Tan x = 0.8
x = tan -1 0.8
= 38.7°
