Answer:
16 is 2/5th's of the line between the point at 6 and the point at 31.
Step-by-step explanation:
First, to get the point on the number line that would be 2/5th's of point 31 and point 6, you need to get the absolute value / difference between both points.
31 - 6 = |25|
So then you need to get what a fifth (1/5) equals from 25.
25 / 5 = 5.
So 2/5th's of the difference between point 31 and point 5 would be two 1/5th's (5 + 5) which equals 10.
Add 6 to 10 (since 6 is the beginning of the line between both points) and you get 16, which is 2/5th's of the line from point 6 to point 31.
5 bags times 300 cans in each bag = 1500 cans
$2 for 450. = how much money (X) for 1500 cans
2/450= X/1500
Cross multiply
450X= 3000
Divide by 450
You get $6.67
The slope of the line is the negative 4/3 and y-intercept will be the negative 1.
The correct equation is given below.
−4x − 3y = 3
<h3>What is the linear system?</h3>
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the line will be
−4x − 3y = 3
Then the equation of a line can be written as
4x + 3y = −3
3y = −4x − 3
y = −(4/3)x − 1
Then the slope of the line is the negative 4/3 and y-intercept will be the negative 1.
The graph is given below.
More about the linear system link is given below.
brainly.com/question/20379472
#SPJ1
Answer:
10
Step-by-step explanation:
Answer:
The answer w'll be obtained using formulas
cos(a+b) = cosacosb - sinasinb
cos(a-b) = cosacosb + sinasinb
Step-by-step explanation:
Using the trigonometric formula of addition and subtraction of cosine
cos(a+b) = cosacosb - sinasinb
cos(a-b) = cosacosb + sinasinb
w'll get the desired answer.
To be solve
L.H.S = R.H.S
sinasinb = (cos(a-b)-cos(a+b)/2
as we know that <u><em>cos(a+b) = cosacosb - sinasinb</em></u>
sinasinb = (cos(a-b) - (cosacosb -sinasinb))/2
as we know that <u><em>cos(a-b) = cosacosb + sinasinb</em></u>
sinasinb = ((cosacosb + sinasinb) - (cosacosb -sinasinb))/2
sinasinb = (cosacosb + sinasinb - cosacosb + sinasinb)/2
sinasinb = (2sinasinb)/2
sinasinb = sinasinb
hence L.H.S = R.H.S
