Factors are the numbers you multiply together to get another number. when you find the factors of two or more numbers, and then find some of the numbers (factors) are the same (common) you have common factors.
example: 12 and 36
12: 1x12, 2x6, 3x4
36: 1x36, 2x18, 3x12, 4x9, 6x6
the common factors in these numbers are 1, 2, 3, 4, 6 and 12
hope this helped you out!
Answer:
<em>The second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>
Step-by-step explanation:
We can't confirm the length of these diagonals based on the appearance of the figure, so let us apply Pythagorean Theorem;
This diagonal divides each figure ( square + rectangle ) into two congruent, right angle triangles ⇒ from which we may apply Pythagorean Theorem, where the diagonal acts as the hypotenuse;
5^2 + 5^2 = x^2 ⇒ x is the length of the diagonal,
25 + 25 = x^2,
x^2 = 50,
x = √50
Now the same procedure can be applied to this other quadrilateral;
3^2 + 7^2 = x^2 ⇒ x is the length of the diagonal,
9 + 49 = x^2,
x^2 = 58,
x = √58
<em>Therefore the second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>
You have this....
√x > 8
This means that the square root of something is greater than 8.
So plug in everything for x and find the answer.
Anything 64 and below is NOT THE ANSWER.
√64 = 8, and 8 is not greater than 8, so anything 64 and below is wrong.
So the answer is...
D and F.
By simple substitution on the left side and on the right side of the given equation, we have to
For <span>coordinates (-3,-9)
-9</span><span>=−8|-3+3|−9
-9</span><span>=−8|0|−9
</span> -9=−9
Therefore, it is demonstrated that<span> the coordinates of the vertex is
(-3,-9)</span>