Answer: (-6, 5)
<u>Step-by-step explanation:</u>
Use the Midpoint Formula:
Separate the x's and y's and solve them individually:
So, the k-coordinate is (-6, 5)
Please help me!Please explain it
1 answer:
Answer:
<h2>1,416 cm²</h2>Step-by-step explanation:
There are various lines dividing this figure into shapes, such as rectangles and triangles; this makes it easier to find the area.
- To find the area of a triangle, multiply the base and the height, then multiply the product by 1/2.
- To find the area of a rectangle, multiply the width by the length.
First, find the area of the triangles.
In this figure, there are two triangles with heights of 12 and bases of 18.
Then, multiply the product by 1/2.
There are two triangles, so multiply, the product, 108, by 2.
The area of both combined triangles is 216 cm; the area of a single triangle is 108 cm.
Secondly, find the area of the rectangles.
There are two rectangles with widths of 25 and lengths of 15.
There are two rectangles, so multiply the product, 375, by 2.
The area of both rectangles combined is 750 cm; the area of a single rectangle is 375 cm.
Lastly, we find the area of the rectangle in the middle.
This rectangle has a length of 18 and a width of 25.
18
The area of this rectangle is 450 cm.
Lastly, add the areas of all the shapes.
Therefore, the area of this figure is 1,416 cm².
You might be interested in
Answer:
(x, y) = (3, -6)
Step-by-step explanation:
I like a good graphing calculator for solving systems of equations by graphing.
__
If you're solving these by hand, you need to graph the equations. It can be convenient to put the equations into "intercept form" so you can use the x- and y-intercepts to draw your graph.
That form is ...
x/(x-intercept) +y/(y-intercept) = 1
Dividing a standard-form equation by the constant on the right will put it in this form.
x/(-12/2) +y/(-12/3) = 1 . . . . . . divide the first equation by -12
x/(-6) +y/(-4) = 1 . . . . . . . . . . . the x-intercept is -6; the y-intercept is -4
__
x/(12/10) +y/(12/3) = 1 . . . . . . divide the second equation by 12
x/1.2 +y/4 = 1 . . . . . . . . . . . . . the x-intercept is 1.2*; the y-intercept is 4
__
The locations of these intercepts and the slopes of the lines tell you that the solution will be in the fourth quadrant. The lines intersect at (x, y) = (3, -6).
_____
* It can be difficult to draw an accurate graph using an intercept point that is not on a grid line. It may be desirable to put the second equation into slope-intercept form, so you can see the rise/run values that let you choose grid points on the line. That equation is y =-10/3x +4. A "rise" of -10 for a "run" of +3 will get you to (3, -6) starting from the y-intercept of (0, 4).
