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:
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Rewriting the given expression we have:
We simplify common terms in the numerator and denominator we have:
Answer:
Option D
Answer:
80.48m2
Step-by-step explanation:
I think this is right but it may be wrong.
Answer:
1.3°F * 10 = 13°F
10.2°F
Step-by-step explanation:
Given that:
Temperature on the ground = - 2.8°F
Change in temperature per 1000 ft rise = 1.3°F
Change in temperature after the plane ascends 10000 ft
Change in temperature per 1000ft rise * (10000/1000)
1.3°F * 10 = 13°F
B.) Temperature at 10,000 feets
Temperature on ground + change in temperature at 10,000ft
-2.8°F + 13°F
= 10.2°F
Answer:
= -
Step-by-step explanation:
Given
= ( cross- multiply )
2(a - b) = 3(a + 2b) ← distribute parenthesis on both sides )
2a - 2b = 3a + 6b ( subtract 3a from both sides )
- a - 2b = 6b ( add 2b to both sides )
- a = 8b ( divide both sides by 8 )
- a = b ( divide both sides by a )
- =
Answer:
x = 8, y = 27
Step-by-step explanation:
Since both opposite lines are equal in length to each other, these opposite lines are parallel to each other. The top line is parallel and same length as the bottom line and the left and right lines are also parallel and equal in length.
Based on that, the two left side angles must equal 180 and the right side two angles must equal 180.
(2y + 24) + (3y + 21) = 180
That's the same as 2y + 24 + 3y + 21 = 180
Simplify to 5y + 45 = 180
Subtract 45 from both sides
5y = 135
y = 27
(16x - 26) + (9x + 6) = 180
16x - 26 + 9x + 6 = 180
25x - 20 = 180
25x = 200
x = 8