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Sergeeva-Olga [200]
3 years ago
11

Why are radicals simplified before adding and subtracting? Explain your reasoning by adding sqrt8 and sqrt32 algebraically. Comp

are the process to multiplying and dividing.
Mathematics
1 answer:
Rashid [163]3 years ago
8 0
The first reason is that square root extraction is NOT a linear process, i.e.
√a + √b ≠ √(a+b) unless a = b. What usually happens is that some common factors can be gotten out frpom the radical and then the distributive law allows some consolidation of terms.
sqrt(8) + sqrt(32) = 2sqrt(2) + 4sqrt(2) = 6 sqrt(2)

but sqrt(8) + sqrt(24) = 2sqrt(2) + 2sqrt(6) = 2[sqrt(2) + sqrt(6)].
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Math work help wanted
Sidana [21]

Answer:

\frac{31}{20}\pi

Step-by-step explanation:

The circumference of circle G is 2pi, which means that HJ is equal to 81/360*2pi = 9pi/20, which means that RJ is equal to 18pi/20-9pi/20 = 9pi/20. Therefore, RHJ is equal to the circumference of the area minus RJ, which is equal to 40pi/20 - 9pi/20 = 31pi/20

I hope this helps

3 0
2 years ago
Please Answer, giving Brainliest and 50 points to the best answer!
tresset_1 [31]

Answer:

10 and 40

Step-by-step explanation:

Find the prime factorization of 10

10 = 2 × 5

Find the prime factorization of 40

40 = 2 × 2 × 2 × 5

Multiply each factor the greater number of times it occurs to find the LCM:

LCM = 2 × 2 × 2 × 5

LCM=40

7 0
3 years ago
Classify the function as a linear or quadratic and identify the quadratic, linear, and constant terms. y=(3x+4)(-2x-3)
Troyanec [42]

Answer:

The function is quadratic

Step-by-step explanation:

I just took the quiz and I Had a passing score

3 0
3 years ago
Please help!!! I don’t understand it at all and I need it ASAP!
Ivenika [448]

9514 1404 393

Answer:

  \textbf{D.}\quad g(x)=\sqrt{x+6}+4

Step-by-step explanation:

A lot of math is about matching patterns.

For example, ...

  g(x) = f(x -h) +k

means g(x) is the function f(x) translated right by h units and up by k units. This will be true for any expression of f(x).

__

In this problem, f(x) = √x. We want to translate it left 6 units (h=-6)*, and up 4 units (k=4).

The notation above means that we will replace x with (x-h) = x+6. and we will add k = 4 to the result.

  f(x) = √x

  g(x) = f(x+6) +4

  g(x) = √(x+6) +4 . . . . . . matches choice D

_____

* Left is the opposite of right, so left 6 units is the opposite of right 6 units. h=6 for <em>right 6 units</em>, so h=-6 for <em>left 6 units</em>. Then x-h = x-(-6) = x+6.

__

<em>Comment on the graph</em>

I find it useful to see a picture with these things. In the attached graphing calculator output, the blue curve is left 6 and up 4 from the red curve. The blue curve is g(x); the red one is f(x).

7 0
3 years ago
Solve -10=4x show work please :D
RideAnS [48]

Answer:

-2.5 = x

Step-by-step explanation:

-10 = 4x

the equation between 4 and x is multiplication

as our goal is to move the x on its separate side, we should divide each side by 4 to get rid of the bond between the 4 and the x

Therefore,

-10 = 4x

-10/4 = x

Simplify into decimal if needed

-2.5 = x

Hope that helped!!! k

4 0
3 years ago
Read 2 more answers
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