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3 years ago

|10 - (-43)| absoulute value

2 answers:

8 0

OK so you would treat the absolute value line kind of like parentheses. First you would do the work inside then take the absolute value. In case you don't know absolute value is how far something is from zero
|10-(-43)|
|53|
53

Semenov [28]3 years ago

7 0

Since the absolute value of anything is always a positive number, you have the absolute value of 10 minus negative 43, which is really 10 + 43. You now have 53, since a double negative in math is a positive. Now youre left with |53|, and so your answer is the absolute value of positive 53, meaning your answer is 53.

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Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$

horrorfan [7]

Answer:

$A +B+C+D = 3$ is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

$A+B+C+D = ?$ if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

Solution:

We can see that the resulting expression does not contain anything under $\sqrt$ (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

$\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \ (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}$

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, $A +B+C+D = 5+6-10+2 = \bold3$

5 0

3 years ago

-13.9+(-12.8) evaluate the answer

taurus [48]

Answer:

=-26.7

Step-by-step explanation:

=-13.9+(-12.8)

=-13.9-12.8

=-26.7

8 0

2 years ago

Read 2 more answers

Susan has a rectangular fence around her swimming pool. The fence she built was 15 ft long, 10 ft wide and 6ft tall. How many sq

Dmitriy789 [7]

Answer:

300 Square feet

Step-by-step explanation:

Susan built a rectangular fence around her swimming pool.

Length=15ft

Width(or Breadth)=10ft

Height=6ft

To solve this, picture a cuboid with the top and bottom open, that is the key to finding the Surface Area of the Fence.

Surface Area of a Cuboid= 2(LW+LH+WH)

However since the top and bottom are open, the Surface Area becomes

Surface Area of the fence= 2(LW+WH)

=2((15X6)+(10X6)

=2(90+60)=2 X 150 =300

Susan uses 300 Square feet to build her fence.

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3 years ago

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ser-zykov [4K]

Retire zero la bour li dan trou fess to pu ggnr bon

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3 years ago

If y varies directly as x, find the constant of variation if y= 34 when x= 2

bearhunter [10]

The answer is C

y=kx. where k is a constant
sub y=34,x=2
2k=34
k=17

7 0

3 years ago