Answer:
x^6y^3
Step-by-step explanation:
<u>Given polynomial:</u>
<u>Get prime factors:</u>
- 2*2*2*x*x*x*x*x*x*y*y*y*y*y - 3*x*x*x*x*x*x*x*x*y*y*y
<u>Common factors of the two terms:</u>
- x*x*x*x*x*x*y*y*y = x^6y^3
<u>So</u>
x^6y^3 is the GCF of this polynomial
Answer:
x = 26
Step-by-step explanation:
1. Information
One can partition this figure into three different parts, two congruent triangles, and one rectangle. To find the value of x, one has to find the base of the two triangles, and then the base of the rectangle. Since opposite sides are congruent, the base of the rectangles is 10. To find the base of the triangle, one has to use the Pythagorean theorem.
2. Base of the rectangle
Again, opposite sides are congruent, hence the base of the rectangle is equivalent to the top part. Hence the base is 10.
3. Base of the triangle
Use the Pythagorean theorem;
![a^{2}+b^{2} = c^{2}\\a-leg\\b-leg\\c-hypotenuse](https://tex.z-dn.net/?f=a%5E%7B2%7D%2Bb%5E%7B2%7D%20%3D%20c%5E%7B2%7D%5C%5Ca-leg%5C%5Cb-leg%5C%5Cc-hypotenuse)
Substitute in the given value and solve
![a^{2}+15^{2} = 17^{2}\\a^{2} + 225 = 289\\a^{2} = 64\\a = 8](https://tex.z-dn.net/?f=a%5E%7B2%7D%2B15%5E%7B2%7D%20%3D%2017%5E%7B2%7D%5C%5Ca%5E%7B2%7D%20%2B%20225%20%3D%20289%5C%5Ca%5E%7B2%7D%20%3D%2064%5C%5Ca%20%3D%208)
4. Finding x
There are two congruent trinagles, hence one has to add the base of the triangle twice. The equation will be
x = base_of_triangle + base_of_rectagle + base_of_triangle
x = 8 + 10 + 8
x = 26
Answer:
5 : the number is divisible by 5 because the divider ends with a 5
3: the number is divisible by 3 because the sum of all the digits of the divider are visible by 3.
Answer:
34 (looking at the image im kinda unsure of my answer cuz 4*34=136 and that doesn't look like 136)
Step-by-step explanation:
angle TSU = angle PSR = 4x
from that we know that PSQ=x
so then we know PQS=180-2x
180-2x+68=180
2x=68
x=34
5 feet multiplied my 5 feet equals 25 feet
Sorry if my answer might be incorrect<span />