Answer:
B) \sqrt{30} - 3 \sqrt{2} + \sqrt{55} - \sqrt{33} \div 2
Step-by-step explanation:
Step 1: First we have to get rid off the roots in the denominator.
To do that, we have to multiply the numerator and the denominator by the conjugate of √5 + √3.
The conjugate of √5 + √3 is √5 - √3.
Now multiply given expression with √5 - √3
(√6 + √11) (√5 - √3)
------------- x -----------
(√5 + √3) (√5 - √3)
Step 2: Multiply the numerators and the denominators.
√6√5 - √6√3 +√11√5 -√11√3
------------------------------------------
(√5)^2 - (√3)^2
Now let's simplify to get the answer.
√30-√18 +√55 - √33
-----------------------------
5 - 3
= √30 -3√2 +√55 [√18 = √9√2 = 3√2]
--------------------------
2
The answer is \sqrt{30} - 3 \sqrt{2} + \sqrt{55} - \sqrt{33} \div 2
Thank you.
The answer should be True!
Hope it helped you.
-Charlie
:)
It’s is 50% of 36 i just asked siri
Answer:
the desired line is y = 2x+1
Step-by-step explanation:
A line parallel to y=2x+5 has a very similar equation. All we have to do here is to write y=2x+5 as y=2x+b and find b for x = 1 and y = 3.
Replacing y with 3 and x with 1, we get 3 = 2(1) + b. Then b = 1, and the desired line is y = 2x+1
The percentage of increase in Roberto score is 14.87%, if Roberto made a 74 on last weeks math quiz. this week he made an 85 on the quiz.
Step-by-step explanation:
The given is,
Roberto score on math quiz at last week is 74
This week he made an 85 on the quiz
Step:1
Formula to calculate the percentage of increase the score,
× 100...........(1)
From the given,
Final score = 85
Starting score = 74
Equation (1) becomes,
× 100
= 
× 100
= 0.1486486 × 100
= 14.86486 %
≅ 14.87 %
Percentage of increase = 14.87 %
Result:
The percentage of increase in Roberto score is 14.87%, if Roberto made a 74 on last weeks math quiz. this week he made an 85 on the quiz.
