The answer is 180mm^2. (B)
First, we can decompose the shape into a rectangle and a parallelogram. Let’s start with the rectangle.
Formula for a rectangle: bh
The base is 6 while the height is 12. You multiply like so. 6*12=72.
The area of the rectangle is 72.
The formula of a parallelogram is the same as the rectangle. (Bh)
To identify the base in this parallelogram, you would subtract the whole base length, 15 by half of the base length, 6.
15 - 6 = 9.
So the other half base length is 9.
You can simply transform a parallelogram into a rectangle by decomposing the parallelogram into two right triangles and a rectangle. You would take the right triangle at the bottom of the figure and move it to the top of the parallelogram in the photo. Thus, becoming a rectangle.
Now, we can identify the base and the height. The base of the parallelogram is 9 while the height is 12.
You would then multiply 9 by 12 like so to get 108.
After finding the area of the rectangle and parallelogram, you would add them up.
72 + 108 = 180mm^2
Therefore, making the answer choice B.
Answer:
Q
Step-by-step explanation:
X has constant value
x'-x = 0
m =(y'-y)/(x'-x) --> undefined
Okay let h be the height of prism
so ATQ, height of pyramid = 3h
put this in the formule
The volume of a pyramid = base x height x (1/3)
The volume of a prism = base x height
and find their ratio so simple
you will get the answer as 1
Hello,
The rate of change is the slope (rise/run, y/x). To find that, we use the equation (y2-y1) over (x2-x1). It means take the second "y" and subtract it from the first "y" and the same to "x". If I plug in the numbers, it would be (3-6) over (5-4), and after you subtract, the answer simplifies to: -3/ 1 which is -3. Yay! We got the slope (rate of change) done.
Now let's find the y-intercept by using the formula of point-slope form,
y-y1= m (slope) (x-x1). This is saying you "y" is subtracted from the first
"y" of the points which equals the slope (m) times the quantity of "x" subtracted by the first "x" of the points.
Let's plug the numbers in: y-6 = -3 (x-4). Let's distribute -3 to the parenthesis, and after that it should simplify to: y-6 = -3x + 12. To get "y" by itself, add 6 to both sides: y = -3x +18. We have finally found the slope-intercept equation for those two points (4,6) and (5,3). To then find the y-intercept in this equation, it would be the 18, because -3 is the slope, so that makes 18 the y-intercept.
In conclusion, the rate of change is -3 and the y-intercept is 18.
I hope this helps!
May
Answer:
20x20=400
Step-by-step explanation:
