Let jena take x hours to mow the lawn on her own.- then we can write the equation
1/x + 1/4x = 1 / 44
44 + 11 = x
x = 55
x takes 55 hours to mow the lawn
Answer:the last table
Step-by-step explanation:
If all the x’s are the same, there is zero slope, if all the y’s are the same like the first table, the slope is undefined, not zero
Answer:
See proof below
Step-by-step explanation:
show that
sinx/1+cosx=tanx/2
From LHS
sinx/1+cosx
According to half angle
sinx = 2sinx/2 cosx/2
cosx = cos²x/2 - sin²x/2
cosx = cos²x/2 - (1- cos²x/2)
cosx = 2cos²x/2 - 1
cos x + 1 = 2cos²x/2
Substitute into the expression;
sinx/1+cosx
= (2sinx/2 cosx/2)/2cos²x/2
= sinx.2/cos x/2
Since tan x = sinx/cosx
Hence sinx/2/cos x/2 = tan x/2 (RHS)
This shows that sinx/1+cosx=tanx/2
Answer:
59 = (5x + 4)
x = 11
Step-by-step explanation:
59 = (5x + 4)
5x + 4 = 59
5x = 59 - 4
5x = 55
x = 55/5
x = 11
6 - x/10 = -3
6 = -3 + x/10
9 = x/10
90 = x
