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jekas [21]
2 years ago
15

16. Simplify: look at picture please give detailed steps!!

Mathematics
1 answer:
Aliun [14]2 years ago
6 0

Answer:

2\sqrt{3}

Step-by-step explanation:

1. Expand the expression

\frac{6}{ \sqrt{3} }  \times  \frac{ \sqrt{3} }{ \sqrt{3} }

2. To multiply the fractions, multiply the numerators and denominators seperately

=   \frac{6 \sqrt{3} }{ \sqrt{3} \sqrt{3}  }

3. Calculate the product : when a square root of an expression is multiplied by itself, the result is that expression.

\frac{6 \sqrt{3} }{3}

4. Reduce the fraction with 3 and the solution is :

=  2 \sqrt{ 3}

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26. The graph of linear function fpasses through the point (1,-6) and has a slope of -2
Alina [70]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have according to the data:

m = -2

Thus, the equation is of the form:

y = -2x + b

We substitute the given point:

(x, y) :( 1, -6)\\-6 = -2 (1) + b\\-6 = -2 + b\\-6 + 2 = b\\b = -4

Finally, the equation is:

y = -2x-4

Answer:

y = -2x-4

7 0
3 years ago
Read 2 more answers
Which point lies on a circle with a radius of 5 units and center at P(6, 1)?
Setler79 [48]
If you want just some random point on the circle it could be (6,6)
5 0
3 years ago
Read 2 more answers
(04.07) The same amount of trash is dumped into a landfill every day. The function below shows the total number of tons of trash
Nikitich [7]
Answer:
1000 represents the amount of trash that was originally present in the landfill before dumping any extra trash.
i.e : It is the amount of trash at day zero

Explanation:
The initial value of a function is defined as the started value of the function independent of any variables present in the function

The given function is:
n = 2000x + 1000
where n is the amount of trash and x is the number of days
To get the initial value, we will set the variable (x) to be equal to zero
Therefore, initially:
n = 2000(0) + 1000 = 1000
This means that the initial value of the trash at day zero is 1000.

Hope this helps :)
4 0
3 years ago
Read 2 more answers
given a system of equations, list three ways that we can write new equations that can be used to create equivalent systems
cupoosta [38]

Answer:

See explanation

Step-by-step explanation:

Given a system of equations, you can

  • rewrite one of the equations and write the sum of two equations instead of the second equation;
  • rewrite one of the equations and write the difference of two equations instead of the second equation;
  • rewrite one of the equations and write the sum of the first equation multiplied by one nonzero number and the second equation multiplied by another nonzero number instead of the second equation.

These actions are called elementary row operations. Elementary operations with system of equations do not change the solution set.

4 0
3 years ago
Find the zeros of the function. Write the smaller solution first, and the larger solution second. f(x)=(x+8)^2−1
BartSMP [9]

Answer:

zeroes: x = -9 and x = -7

Step-by-step explanation:

f(x)=(x+8)^2−1

A "zero" refers to when the y-value on the graph is zero.

0 = (x+8)^2 - 1

1 = (x+8)^2

+ or - 1 = x+8

so break them apart into two equations

x+8 = 1  OR  x+8 = -1

x = -7  OR  x = -9

You can plug both back in to check that the equation works!

4 0
3 years ago
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