Answer:
D. x <= -3 or x >= 5
Step-by-step explanation:
3 | x-1 | > = 12
3(x - 1) >= 12
3x - 3 >= 12
3x >= 15
x >= 5
or
-3(x - 1) >= 12
-3x + 3 >= 12
-3x >= 9
x <= -3
Answer
x <= -3 or x >= 5
Answer:
Whats your question
Step-by-step explanation:
PLZ MARK AS BRAINLIEST
Answer:
i can't see the rest of the question so i don't know the answer choices but:
since x≥8
whichever choice is less than 8 is incorrect
step-by-step explanation:
i can't see the rest of the question so i don't know the answer choices but:
7x≥56
x≥8
Equation of a line:
![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
m = gradient: The difference between two y points and two x points.
![m= \frac{\Delta y}{\Delta x}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D%20)
c = y-intercept: Where the line crosses the y-axis (x=0)
You have:
![y=\textunderscore\textunderscore \ x + \textunderscore](https://tex.z-dn.net/?f=y%3D%5Ctextunderscore%5Ctextunderscore%20%5C%20x%20%2B%20%5Ctextunderscore)
so you are missing the m and the c.
To calculate m find two y coordinates -you have (12,
<u>7</u>) and (0, <u>
1</u>)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (<u>
12</u>, 7) and (<u>
0</u>, 1)- This gives:
![m= \frac{7-1}{12-0}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B7-1%7D%7B12-0%7D%20)
![m= \frac{6}{12}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B6%7D%7B12%7D%20)
![m=0.5](https://tex.z-dn.net/?f=m%3D0.5)
To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:
![c=1](https://tex.z-dn.net/?f=c%3D1)
When you plug these values into the equation you get your answer:
We can represent the base as z and the height as 2z+6. We are going to use the formula A=1/2*b*h and solve for z
180=1/2*z*(2z+6)
360=2z^2+6z
0=2z^2+6z-360
0=2(z^2+3z-180)
0=(z+15)(z-12)
So z=-15 and 12 but it must be positive so then the base is equal to 12
When we plug this into 2z+6 we get 30 for the height
2(12)+6=30
Hope this helps