D. 3√14 /14
Step-by-step explanation:
given that cot(θ)= -√5/3 and cos(θ) < 0
cot(θ)= -√5/3 and cos(θ) < 0, the angle should be on quadrant II.
cot(θ)= -√5/3 => x = -√5 , y = 3
h = √(-3)²+5 =√14
so, sin(θ) = y/h = 3/√14 = 3√14 /14
Answer:
x = 33.92.
Step-by-step explanation:
0.21 (3x + 3) + 4 = 26
Distribute the 0.21 over the parentheses:
0.63x + 0.63 = 22
0.63x = 22 - 0.63
0.63x = 21.37
x = 21.37 / 0.63
x = 33.92 (answer).
Answer:
A) y will increase by 4 unit.
B) y will decrease by 20 units
Step-by-step explanation:
Given equation that shows relation between x and y.

A) If x is increased by 4 units
New value of y = 


So, change in y = new value of y- original value of y



Thus, the value of y will be increased by 4 units.
B) If x is decreased by 5 units
New value of y = 


So, change in y = new value of y- original value of y



= -20
Thus, the value of y will be decreased by 20 units.
Answer:2y^2-6y+6
Step-by-step explanation:
5y^2-2y+1-(3y^2+4y-5)
5y^2-2y+1-3y^2-4y+5
Collect like terms
5y^2-3y^2-2y-4y+1+5
2y^2-6y+6
Place a point at (0,-5) because that is the y-intercept (the -5 on the vertical line)
Since the slope is negative two which can be re-written as -2/1 (rise/run) you go down two and to the right once or up two and to the left once, it doesn't matter which. Another point can be placed at (1,-7) or (-3,-1), it still doesn't matter which.
Then you can draw a line connecting the two points.
I hope this helps :)
Let me know if you need further explanation