Hey there! :)
To find the equation of a line that passes through (2, -4) & (5, 13), we must first find the slope.
To find the slope, we must use the slope equation, which is : m = (y₂-y₁) / (x₂-x₁)
So, let's plug everything in!
m = (y₂ - y₁) / (x₂ - x₁)
m = (13 - (-4)) / (5 - 2)
Simplify.
m = (13 + 4) / 3
Simplify.
m = 17/3
So, our slope is 17/3!
Now, let's find the equation of the line using slope-intercept form.
Remember that slope-intercept form is : y=mx+b where m=slope, b=y-intercept.
Since we already have the slope, all we need to do is find the y-intercept.
To find the y-intercept, let's plug all of our known variables into y-intercept form, using the points (2, 4) and the slope 17/3.
y = mx + b
(4) = (17/3)(2) + b
Simplify.
4 = 24/3 + b
Simplify.
4 = 8 + b
Subtract 8 from both sides.
4 - 8 = b
Simplify.
-4 = b
So, our y-intercept is b!
Using our known variables (slope, y-intercept), we can very easily plug it into a new slope-intercept equation!
y = mx + b
So, since our slope is 17/3 and our y-intercept is -4, let's plug and chug!
y = 17/3x - 4 → our final answer
~Hope I helped!~
First we make our formula: 5(t+15.25)+15t=211.25. (I use the same letter for both variables, but you have to make sure that whatever makes them different is in the formula) Then you work it like normal: 20t=135, T=6.75 so 1 shrub costs $6.75 Then substitute the answer in: 5(6.75+15.25)+15(6.75)=211.75 and check it. 1 tree is $110 :) hope this helps :)
Answer:
Step-by-step explanation:
= 10 square inches
Area of the place mat = 42 * 10 = 420 square inches
Area of each triangle = 10 square inches
Area of the place mat = 420 square inches
Answer:
x=4 and y=5
Step-by-step explanation:
Find x by adding the two equations so that the 6y and -6y will cancel out.
You're left with 6x=24 which you divide 6 on both sides to get x=4.
Then to find y you will plug 4 into either equation for x. I chose the second equation, so 4-6y=-26, get -6y alone by subtracting the 4 over to the other side. then -6y=-30, then divide both sides by -6 and you get y=5.
Answer:
The score is
Step-by-step explanation:
From the question we are told that
The population mean is
The standard deviation is
From the question we are told that the score follow a normal distribution
i.e
The proportion of score in the top 10% is mathematically
Where x is the minimum score required to be in the top 10%
Now the
So
So
So the critical value of 0.10 from the normal distribution table is
So