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3 years ago

Simplify algebraically

Mathematics

1 answer:

Juliette [100K]3 years ago

6 0

Step-by-step explanation:

divide 48 by 12

when the bases are same and they are in the form of divide , their powers are subtracted

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Whats 9 + 10. im really confused please dont say 21

Anna71 [15]

Step-by-step explanation:

9+10=19

<h3>hope it helps.</h3><h3>stay safe healthy and happy.</h3>

3 0

3 years ago

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If you plot and connect these points P1(3,2) and P2(6,8) , what figure is Formed? What is the Direction?

Sergio [31]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the points

P1(3, 2)

P2(6, 8)

When we plot P1(3, 2) and P2(6, 8), we determine the line segment P1P2.

The direction of the segment is from P1 to P2.

Determining the length of the segment P1P2.

$\:l=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(6-3\right)^2+\left(8-2\right)^2}$

$=\sqrt{3^2+6^2}$

$=\sqrt{45}$

$=\sqrt{5}\sqrt{3^2}$

$=3\sqrt{5}$

Thus, the length of the segment is:

$\:\:\:l=3\sqrt{5}$

Determining the equation of a line containing the segment P1P2

Given the points

P1(3, 2)

P2(6, 8)

Finding the slope between P1(3, 2) and P2(6, 8)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(3,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:8\right)$

$m=\frac{8-2}{6-3}$

$m=2$

Using the line point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 2 and the point (3, 2)

$y-2=2\left(x-3\right)$

Add 2 to both sides

$y-2+2=2\left(x-3\right)+2$

$y=2x-4$

Thus, the equation of a line containing the line segment P1P2 is:

$y=2x-4$

8 0

3 years ago

Determine whether the systems have one solution, no solution, or infinitely many solutions

Lerok [7]

Answer:

First system: no solution

Second system: one solution

Third system: one solution

Fourth system: infinite solutions

Fifth system: no solution

Step-by-step explanation:

First system: 3x-2y=3; 6x-4y=1

From the first equation: y = (3x - 3)/2

Using this value of y in the second equation:

6x - 6x + 6 = 1

6 = 1 -> System has no solution

Second system: 3x-5y=8; 5x-3y=2

From the first equation: x = (8 + 5y)/3

Using this value of x in the second equation:

5*(8 + 5y) - 9y = 6

40 + 25y - 9y = 6

16y = -34 -> y = -2.125

x = (8 - 5*2.125)/3 = -0.875

This system has one solution

Third system: 3x-2y=8; 4x-3y=1

From the first equation: x = (8 + 2y)/3

Using this value of x in the second equation:

4*(8 + 2y) - 9y = 3

32 + 8y - 9y = 6

y = 26

x = (8 + 2*26)/3 = 20

This system has one solution

Fourth system: 3x-6y=3; 2x-4y=2

From the first equation: x = 1 + 2y

Using this value of x in the second equation:

2*(1 + 2y) - 4y = 2

2 + 4y - 4y = 2

2 = 2

This system has infinite solutions

Fifth system: 3x-4y=2; 6x-8y=1

From the first equation: x = (2 + 4y)/3

Using this value of x in the second equation:

2*(2 + 4y) - 8y = 1

4 + 8y - 8y = 2

4 = 2

This system has no solution

5 0

3 years ago

.<br> .<br> .<br> .<br> .<br> .<br> .<br> .<br> .<br> .<br> .<br> .<br> .<br> .<br> .

attashe74 [19]

5 a) 22.6

b) 67.8

6 a) 9 miles

b) 18 miles

7. Alicia

Hope this helps pls mark me brainliest thx that took me ages

6 0

3 years ago

If anyone doesn't mind helping may you plz help me

Verdich [7]

Answer:

SAS

Step-by-step explanation:

Please let me know if this doesn't help. I'm trying my best to relearn this so I can help you.

3 0

3 years ago

Read 2 more answers

Simplify algebraically ​

Simplify algebraically