Answer:
y=-x+4
Step-by-step explanation:
First use slope formula using 2 points.
(0,3) and (1,2)


Slope is -1.
Now, use point-slope formula.
y-y1=m(x-x1)
Plug in the information that we have.
y-3=-1(x-0)
Use distributive property.
y-3=-x+1
Add 3 to both sides.
y=-x+4
It is now in slope-intercept form.
Hope this helps!
If not, I am sorry.
(4x+5)(4x-5) is equal to 16x^2+20x-20x-25
The positive and negative 20x cancel out
Leaving you with: 16x^2 - 25
[S/N this is a pattern that shows up a decent amount. Whenever you have something that looks like (x^2-y^2) it factors out to (x+y)(x-y). It might be helpful to remember]
The next one, (4x+5)2, just follows the distributive property. Multiply both components within the parentheses bye the coefficient of 2: 8x+10
Answer:
Therefore
m∠Y = 41.1°
Step-by-step explanation:
Given:
In Δ YSE ,
m∠S = 70°
YE = 10 = side opposite to ∠Y
SE = 7 = side opposite to ∠S
To Find:
m∠Y = ?
Solution:
In Δ ABC, Sine Rule says
So here In Δ YSE,
substituting the given values we get

Therefore
m∠Y = 41.1°
Answer:
a) 30% probability that it will not be colder today than it was yesterday
b) 90% probability that it will not be warmer today than it was yesterday
Step-by-step explanation:
In this question, we have that:
0.1 = 10% probability it will be warmer today than yesterday.
0.7 = 70% probability it will be colder today than yesterday.
a .What is the probability that it will not be colder today than it was yesterday?
70% probability it will be colder, so 100 - 70 = 30% probability that it will not be colder today than it was yesterday.
b What is the probability that it will not be warmer today than it was yesterday?
10% probability it will be warmer today than yesterday, so 100 - 10 = 90% probability that it will not be warmer today than it was yesterday