Answer:
y = x - 3
Step-by-step explanation:
From the table attached,
Scatter plot given in the graph is correct.
Let the equation of the line passing from a point (x', y') is,
y - y' = m(x - x')
m = slope
Slope of the line passing through two points 
and 
is given by,
m = 
Therefore, slope of the line passing through the points (11, 8) and (12, 9) will be,
m = 
Therefore, equation of the line passing through (11, 8) will be,
y - 8 = 1(x - 11)
y = x - 11 + 8
y = x - 3
Answer: Choice B. sqrt(2)
Draw out a right triangle in quadrant IV as you see in the attached image below. The horizontal and vertical legs are both 1 unit long. To ensure that the signs are properly set up, I am making the vertical leg BC have a label "-1" to mean this is below the x axis. Note how
tan(theta) = opposite/adjacent = BC/AB = -1/1 = -1
Use the pythagorean theorem to find that the hypotenuse AC is sqrt(2) units long
a^2 + b^2 = c^2
(1)^2 + (1)^2 = c^2
2 = c^2
c^2 = 2
c = sqrt(2)
The secant of theta is the ratio of the hypotenuse over the adjacent side, so we end up with
sec(theta) = hypotenuse/adjacent
sec(theta) = AC/AB
sec(theta) = sqrt(2)/1
sec(theta) = sqrt(2) which is why choice B is the answer
Answer:
choice number 2) 10 in, 18.5 in 31.5 in
Step-by-step explanation:
we collect and evaluate the like terms.like terms means the ones that can be evaluated. like 2y and 7y are like terms. they either can be added or subtracted to get an answer . 7y-2y =5y. but you cant subtrac or add 7y with 5 because they are not like terms.
2y +1 + 7y + 3y + 5 = 60
(2y+7y+3y)+(1+5) = 60
12y + 6 = 60
The 6 crosses the equal sign to the other side because of like terms.And becomes a minus
12y = 60 - 6
12y = 54
y = 4.5
so,
2y +1= 2 x 4.5 + 1 =10
7y = 7 x 4.5 = 31.5
3y + 5= 3 x 4.5 + 5 =18.5
Answer is 10 in, 18.5 in, 31.5 in
If you need any clarification or more explanation pls do mention at the comment section so that i can help more thx
Hope this helps and if it does pls mark as branliest answer thx
Answer:
Step-by-step explanation:
the first day he used 30 cups
the second day he used 15% of the remaining cups...a total of 90 cups were used on second day.
so 15%of the remaining cups = 90.....so if u let x be the total cups, then the remaining cups would be x - 30
15% of (x - 30) = 90.....turn ur percent to a decimal..." of " means multiply
0.15(x - 30) = 90
0.15x - 4.5 = 90
0.15x = 90 + 4.5
0.15x = 94.5
x = 94.5 / 0.15
x = 630 total cups <==
lets check..
start with 630 cups....used 30 the first day....leaving u with 600 cups....15% of the remaining cups = 90.....so 15% of 600 = 90....lets check it
15%of 600 = 0.15(600) = 90...yep, thats correct....there were 630 cups in the new un-opened box
Answer:
11.8
Step-by-step explanation:
I think it is subtracting fractions.
First you turn the fractions into decimals then subtract it. After, you turn the decimal to a fraction but i am having a hard time doing that... the decimals by the way is 12.5 and 0.7 according to converters
