For this case we must solve the following questions:
Question 1:
We should simplify the following expression:
Applying double C we have:
By definition of multiplication of powers of the same base we have to place the same base and add the exponents:
Canceling common terms:
Answer:
Option A
Question 2:
We should simplify the following expression:
So, we have:
Simplifying common terms:
Answer:
Option D
Question 3:
We factor the following expressions to rewrite the experience:
<em>
: </em>We look for two numbers that multiplied give 10 and added 7:
<em>
</em> We look for two numbers that multiplied give -50 and added -5:
<em>
</em>
Rewriting the given expression we have:
We simplify common terms in the numerator and denominator we have:
Answer:
Option D
If the first set began to increase, than the other set tends to decrease.
Answer:
It is congruent to Angle A P C
Step-by-step explanation:
we know that
<u><em>Vertical angles</em></u> are the angles opposite each other when two lines cross. They are always congruent.
In this problem we have that
-----> by vertical angles
see the attached figure to better understand the problem
therefore
It is congruent to Angle A P C
Answer:
diameter ≈15.6
Step-by-step explanation:
To solve this;
volume of a sphere = 4/3 πr³
From the question given;
volume of the sphere = 268
lets substitute and solve for r
volume of sphere = 4/3 πr³
268 = 4/3 × 3.14 × r³
268 =4.19 × r³
Divide both-side of the equation by 4.19
268/4.19 = r³
63.96 = r³
Take the cube root of both-side
∛63.96 = r
7.8 ≈ r
but diameter = 2r = 2×7.8 =15.6
