Answer:
x = 12
Step-by-step explanation:
In a right triangle (a triangle that has a ninety degree angle in it) the the square of the side opposite the right angle is always equal to the sum of the squares of the other two sides. Therefore, we can use the information we are given to figure out the missing side:
![15^2=225\\9^2=81\\225-81=144\\\sqrt[2]{144}=12](https://tex.z-dn.net/?f=15%5E2%3D225%5C%5C9%5E2%3D81%5C%5C225-81%3D144%5C%5C%5Csqrt%5B2%5D%7B144%7D%3D12)
Answer: x ≥ - 3
5x - 1 ≥ -4(x + 7)
⇔ 5x - 1 ≥ - 4x -28
⇔ 5x + 4x ≥ - 28 + 1
⇔ 9x ≥ - 27
⇔ x ≥ - 3
Step-by-step explanation:
Answer:
2 students are in both clubs
Step-by-step explanation:
x = 1 student (this number may be more than the total because one student can be in 2 clubs)
Club a = 13
Club b = 20
13 + 20 = 27x
Total members of clubs - total number of students = 27x - 25 = 2
2 students are in both clubs
Hope this was useful to you!
Answer:
average = 52, 100 on fourth test
Step-by-step explanation:
average = 75 + 74 + 71 = 156 / 3 = 52
average = 52
b grade = 75 + 74 + 71 + 100 = 320 / 4 = 80
to get a b grade she must get 100 on her fourth test
Answer:
y = -2x + 1
Step-by-step explanation:
The y-intercept is given by the point that is on the y-axis. (1)
This means that the answer contains a +1
Then you must find if the slope is positive or negative
In this case the slope is negative because the line goes "downhill" from left to right
Since the slope is negative it means that there will be a negative sign in the beginning of the equation
Next, to find the slope you need to find the rise over run
Since it is a negative slope the rise will be negative and the run will be positive.
To find the slope find two clear points on the graph such as (0,1) and (2,0)
To find the slope, use the slope formula
This would look like: (0-2)/(1-0)
Your slope will be -2x
Piece it all together and you get a final answer of y= -2x+1
