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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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In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x)
Tcecarenko [31]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
PLEASEEEEE HELPPPPPPP
Vesnalui [34]

1) We are given points on the line of the graph (0,3) and (1,1).

Rise/run represents the slope of the line.

Rise/run = -2/1  = -2.

Therefore, slope of the line is -2.

<h3>Correct option is A) -2 .</h3>

2) Given equation y=7.5x-5.

From the graph we can see that line crosses x-axis at 0.667.

But we don't find any such option.

But we can see line crossing y-axis is -5.

It seems that we need to find the point where line cut y-axis.

<h3>Therefore, correct option is C option.</h3><h3>C) - 5</h3>

6 0
3 years ago
Starting at a fixed time, each car entering an intersection is observed to see whether it turns left (L), right (R), or goes str
lisov135 [29]

Answer:

x=3, 5, 4, 4, 3

Step-by-step explanation:

Given:

Starting at a fixed time, each car entering an intersection is observed to see whether it turns left (L), right (R), or goes straight ahead (A) such that the experiment terminates as soon as a car is observed to turn left.

X = the number of cars observed

For outcome RRL,

experiment terminates after the third car, so, X = 3

For outcome AARRL,

experiment terminates after the fifth car, so, X = 5

For outcome AARL,

experiment terminates after the fourth car, so, X = 4

For outcome RRAL,

experiment terminates after the fourth car, so, X = 4

For outcome ARL,

experiment terminates after the third car, so, X = 3

6 0
3 years ago
Gladys scored 42 points in a basketball game. She only took 2-point shots and 3-point shots. She made a total of 18 shots. Write
Semmy [17]

Answer:

x+y=18 \\2x+3y=42

Number of 2-point shots taken = 12

Number of 3-point shots taken = 6

Step-by-step explanation:

Total number of points scored by Gladys = 42

Only 2-point and 3-point shots are taken by Gladys.

Let number of 2-point shots taken = x

Let number of 3-point shots taken = y

Total number of shots taken = 18

Therefore, first equation can be written as:

x+y=18

Total points scored = 42

Therefore, second equation can be written as:

2x+3y=42

System of equations is:

x+y=18 .... (1)\\2x+3y=42 .... (2)

Using elimination method to solve the system of equations.

Multiplying equation by 2 then subtracting it from equation (2):

3y - 2y = 42 - 36\\\Rightarrow y = 6

By equation (1):

x+6=18\\\Rightarrow x = 12

Therefore, Number of 2-point shots taken = 12

Number of 3-point shots taken = 6

3 0
3 years ago
What percentage is equivalent to 7:8
dusya [7]
The answer is 87.5%.

Hope this helped!
5 0
3 years ago
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