Answer:
slope (m)= 1/2
y-intercept: (0, -1)
equation: y=
x-1
Step-by-step explanation:
slope is
=
y-intercept is where the line crosses the vertical axis (y-axis) so its (0, -1)
using point slope form:
y-y1=m(x-x1)
y-(-1)=1/2(x-0)
y+1=1/2x
y=
x-1
We have to simplify
sec(θ) sin(θ) cot(θ)
Now first of all let's simplify these separately , using reciprocal identities.
Sec(θ) = 1/cos(θ)
Sin(θ) is already simplified
Cot(θ)= cos(θ) / sin(θ) ,
Let's plug these values in the expression
sec(θ) sin(θ) cot(θ)
= ( 1/cos(θ) ) * ( sin(θ) ) * ( cos(θ) / sin(θ) )
= ( sin(θ) /cos(θ) ) * ( cos(θ) /sin(θ) )
sin cancels out with sin and cos cancels out with cos
So , answer comes out to be
=( sin(θ) /cos(θ) ) * ( cos(θ) /sin(θ) )
= 1
Do what that person with the long explanation says it’s most likely right!!
Candies with celias and emmas is 60 and 45 respectively.
<u>Solution:</u>
Given, Getting home from trick or treat celia and emma counted their candies. Half of celias candies is equal to 2/3 of emmas candies.
They had a total of 105 candies altogether.
We have to find how many candies did each of them have.
Let the number of candies with celias be n, then number of candies with emma will be 105 – n.
Now according to given condition.

Hence, candies with celias and emmas is 60 and 45 respectively.
I think it's like 2.739 × 10