What we know:
12 hour period from 8pm to 8am
temperature dropped from 8°F to 16°F from 8pm to 8am
We need to find temperature at 4 am.
We can start by setting up points:
8pm is are starting point with 8°F, we can express it as (0,8), 0 represents initial time from 0 to 12 hour span.
8am is the ending point with 16°F, we can express it as (12,16), 12 represents the end time of 0 to 12 hours span.
We will use these points to find slope.
slope=m=(16-8)/(12-0)=8/12=2/3
Now, we can set up an expression to find any temperature at a specific time. Aslo, x represents the hours not the the specific time of 4am. We will use 8 since 4am is the 8th hour of the 12 hour span. Using slope of 2/3 and the y intercept of (0,8) since we were already at 8°F at the initial time of 0 we have the function:
f(x)=2/3x+8
f(8)=2/3(8)+8= 40/3≈13.3°
Answer:s=7
Step-by-step explanation:
-8(3-s)= 32
Multiplication
-24+8s=32
Here you have to add 24 on both sides
8s= 56
Division by 8
s=7
Answer:
b. sorry if i'm wrong!
Step-by-step explanation:
To find the measure of angle 1, you add 33 and 57
That would equal 90
Since all triangles equal 180, you would subtract 90 from 180
So the answer would be 90.
To add the variables, add the coefficients with same variable. The expression which is equivalent to given expression is
. The option 2 is the correct option.
<h3>What is
equivalent expression?</h3>
Equivalent expression are the expression whose result is equal to the original expression, but the way of representation is different.
Given information-
The expression given in the problem is,
![(3b+2r)+(4b+r)](https://tex.z-dn.net/?f=%283b%2B2r%29%2B%284b%2Br%29)
Let the resultant expression of the above expression is
. thus,
![x=(3b+2r)+(4b+r)](https://tex.z-dn.net/?f=x%3D%283b%2B2r%29%2B%284b%2Br%29)
To add the algebraic terms open the brackets first,
![x=3b+2r+4b+r](https://tex.z-dn.net/?f=x%3D3b%2B2r%2B4b%2Br)
Separate the same variable terms,
![x=3b+4b+2r+r](https://tex.z-dn.net/?f=x%3D3b%2B4b%2B2r%2Br)
To add the variables, add the coefficients with same variable. Thus,
![x=7b+3r](https://tex.z-dn.net/?f=x%3D7b%2B3r)
Hence, the expression which is equivalent to given expression is
. The option 2 is the correct option.
Learn more about the equivalent expression here;
brainly.com/question/2972832