Answer:
C
Step-by-step explanation:
5 more than twice a number
(A number)=variable=x
2x+5<20
Subtract 5 from both sides
2x<15
Divide by 2
x<7.5
Any number below 7.5 (can't be 7.5 though)
Answer: A, 102
Step-by-step explanation:
Okay so just find the big square and subtract the holes
big square is 30x20 which is 600
hole #1 is 20x5 = 100
hole #2 is a triangle so you first find the base and height which are 10 and 5 respectively. Then use the triangle area formula a = 1/2bh to find that the triangle's area is 25.
Subtract the holes now
600-100-25 = 475
1 Gallon = 200 square feet covered so divide 475 by 200 to find how many gallons should be used. It's 3 gallons since you can't just buy a fraction of a gallon (Unless your being weird).
One gallon is 34, so 3 gallons is 3*34 = 102
Or in other words... A
hope you learned and can incorporate these methods for future problems :D!
Yes. All you have to do is simplify the fraction to its lowest term.
Equation of a line with an slope of 1/2 that contains (-4, 7) is ![y=\frac{1}{2} x+9](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7D%20x%2B9)
<em><u>Solution:</u></em>
We have been given a point and slope of an equation and have been asked to write it in an equation. The two forms of writing a point and slope in equation are point slope form and standard form.
The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. The standard form of a line is just another way of writing the equation of a line.
To write in standard form we will first write it in point slope form and then rearrange it into a standard from.
<em><u>The formula for point slope form:</u></em>
![y-y_{1}=m\left(x-x_{1}\right)](https://tex.z-dn.net/?f=y-y_%7B1%7D%3Dm%5Cleft%28x-x_%7B1%7D%5Cright%29)
where "m" is the slope of line
Given that "m" =
and ![(x_1, y_1) = (-4, 7)](https://tex.z-dn.net/?f=%28x_1%2C%20y_1%29%20%3D%20%28-4%2C%207%29)
![\begin{array}{l}{y-7=\frac{1}{2}(x-(-4))} \\\\ {y-7=\frac{1}{2}(x+4)} \\\\ {y-7=\frac{1}{2} x+2} \\\\ {y=\frac{1}{2} x+9}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7By-7%3D%5Cfrac%7B1%7D%7B2%7D%28x-%28-4%29%29%7D%20%5C%5C%5C%5C%20%7By-7%3D%5Cfrac%7B1%7D%7B2%7D%28x%2B4%29%7D%20%5C%5C%5C%5C%20%7By-7%3D%5Cfrac%7B1%7D%7B2%7D%20x%2B2%7D%20%5C%5C%5C%5C%20%7By%3D%5Cfrac%7B1%7D%7B2%7D%20x%2B9%7D%5Cend%7Barray%7D)
Now, let us convert this equation to standard form
0.5x + 9 = y
0.5x - y = -9
Thus we have found out equation of line in point slope and standard form