Help me find x please
1 answer:
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If a line is parallel to another it has the same slope. Since the equation y = 1/3x +8 is parallel to the line we are trying to find, our second line will have the slope of 1/3x as well
This is the equation of a line:
y = mx + b
m = slope = 1/3x
b = y intercept = unknown
We have to find b to make this equation complete. How do we do this?
First plug what you know into the equation: y = 1/3x + b
Second we must solve for b. To do this plug a point that passes through the line (in this case they said (6, -2) passes through the line) into the x and y of the equation:
-2 = 1/3(6) + b
Now solve for b!
-2 = 6/3 + b
-2 = 2 + b
- 2 - 2 = b
-4 = b
The equation parallel to y=1/3x + 8 and passes through point (6, -2) is y = 1/3x - 4
The image below is the two line one a coordinate plane. As you can see, they are parallel to each other
Hope this helped!
Answer:
Apothem: 6m
hypotenuse : slant height : 6√2 m
height :6m
volume: 288m2
Step-by-step explanation:
Hi, the correct values are: (image attached down below)
Base length= 12m
Slant height is actually = 6√2
So, to calculate the apothem (AC)we apply the Pythagorean theorem:
AB^2 = AC^2 + BC^2
√AB^2 -BC^2 = AC
AC = √(6√2)^2 - 6^2
AC =6 meters
Hypotenuse of ABC = AB =6√2 meters
Height = AC = 6 meters
Volume:
Volume of a pyramid = 1/3 x base area x height
area of a square = side length ^2 = 12^2
V= 1/3 x 12^2 x 6 =288 m2
