Answer:
Step-by-step explanation:
![6k^3+10k^2-56k\\2k(3k^2+5k-28)\\=2k[3k^2+12k-7k-28]\\=2k[3k(k+4)-7(k+4)]\\=2k(k+4)(3k-7)](https://tex.z-dn.net/?f=6k%5E3%2B10k%5E2-56k%5C%5C2k%283k%5E2%2B5k-28%29%5C%5C%3D2k%5B3k%5E2%2B12k-7k-28%5D%5C%5C%3D2k%5B3k%28k%2B4%29-7%28k%2B4%29%5D%5C%5C%3D2k%28k%2B4%29%283k-7%29)
common factor is 3k-7
Answer:
12.5 sq. units
Step-by-step explanation:
Divide the blue triangle into two smaller triangles.
The length of their common base = 5 units
The height of the <u>yellow</u> triangle = 2 units
The height of the <u>red</u> triangle = 3 units
The area of the yellow triangle
= (5×2)÷2
= 5 sq. units
The area of the red triangle
= (5×3)÷2
= 7.5 sq. units
The total area
= 5+7.5
= 12.5 sq. units
Answer:
if three bags cost $21.75, one bag costs $7.25, therefore five bags cost $36.24.
Hope this helped!
Step-by-step explanation:
Given:
The slope of the line is -3.
The line passes through the point (2,-2).
To find:
The point-slope form of the line.
Solution:
Point slope form: If a line passes through the point
with slope m, then the point-slope form of the line is:

The slope of the line is -3 and it passes through the point (2,-2). So, the point-slope form of the line is:


Therefore, the required point slope form of the given line is
.
, it is important to recognize that the point (x,y) in the first quadrant represents any
point on the semicircle. In Figure 2, the same semicircle is shown with the inscribed rectangle drawn for
three different values of x.