The exponent cannot be
added to the product because it stated in the law of exponents. An
exponent is simply the shorthand in multiplying your base number. Exponent
will give how many times you will multiply the base numbers. It is not
possible that you add both exponents in the given situation because they
have different value together.
=> 12^3 x 11^3
If we solve this equation following the rule of exponent will get the
correct answer:
=> (12 x 12 x 12) x (11 x 11 x 11)
=> 1728 X 1331
=> the answer is 2 299 968
But if we add the exponent, the answer would be wrong
=> 12^3 x 11^3
=> 132^6
=> 5289852801024 which is wrong.
Answer:
a = 36 , b = 6
Step-by-step explanation:
expand the right side using FOIL and compare coefficients with like terms on left side.
(x - b)²
= x² - 2bx + b² , compare to x² - 12x + a , then
- 2b = - 12 ( divide both sides by - 2 )
b = 6
and a = b² = 6² = 36
A decagon has 10 sides (think decade and decathlon). From the center of the decagon we draw the radii and in doing so we take the area of the decagon and divide it into 10 congruent Triangles.
The angles around the center add up to 360 because they form a circle and since there are 10, they each measure 36 degrees. So the answer to the first part (the angle between the radii) is 36 degrees.
Each of these triangles has two equal sides (both radii) so is Isosceles. That means that the base angles are congruent. So the two angles that are left in each triangle must measure the same. Since the angles in a triangle add up to 180 degrees, we know that the two remaining angles are together equal to 180-36=144 degrees. Since they are equal in measure they each measure 72 degrees.
Thus the answer to the second part, trhe measure of the angle between a radius and the side of the polygon is 72 degrees.
Answer:
25%
Step-by-step explanation:
The (not mentioned in the question) set is: 6 7 8 9.
There are 4 total outcomes and only 1 favorable outcome, then the probability to pick a 9 is:
P(9) = favorable outcome/total outcomes
P(9) = 1/4 = 0.25 or 0.25*100 = 25%
Answer:
5 (5x1) , -10 -(5x2), 20(10x2), -40 -(20x2), 80(40x2)
so the next number should be previous number in the sequence multiplied by 2 and a negative sign.
-`(80x2) = -160
