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-BARSIC- [3]
3 years ago
15

Solve the following system pf equations

Mathematics
1 answer:
mr Goodwill [35]3 years ago
5 0

Answer:

Step-by-step explanation:

If you need to do this by graphing, you need to change the format of each equation into slope intersect form

start with 3x-2y=-24

-2y=-3x-24

y=-3/2x+12

To graph this, the y intersect (where it crosses the y axis) is 12 and from there the slope is -3/2

For the next equation,

-3x-y=6

-y=3x+6

y=-3x-6

So the y intersect is -6 and the slope is -3.

Once you graph both of these, the point where both lines cross AKA the intersecion is the solution to the problem.

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Which of the following statements must be true based on the diagram below?
liubo4ka [24]

Answer: CG is a segment bisector.

Step-by-step explanation:

A segment bisector splits a segment into two equal parts. Notice the marks on FG and GE. The marks are showing that FG and GE are of equal length, therefore CG is bisecting segment FE into two equal segments.

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Write the equation of the function that<br> can be modeled by this table?
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Answer:

<em>y = 3x + 5</em>

Step-by-step explanation:

y = mx + b (slope-intercept form)

( x_{1} , y_{1} )

( x_{2} , y_{2} )

Slope m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

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~~~~~~~~~~~~~~~

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PLEASE HELP: Simplify the expression. Write your answer as a power. 5^2⋅5^9/5
antoniya [11.8K]

Answer:

9.765625×10^6

Step-by-step explanation:

Simplify the following:

5^2×5^9/5

Hint: | Express 5^2×5^9/5 as a single fraction.

5^2×5^9/5 = (5^2×5^9)/5:

(5^2×5^9)/5

Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to (5^2×5^9)/5.

Combine powers. (5^2×5^9)/5 = 5^(9 + 2 - 1):

5^(9 + 2 - 1)

Hint: | Evaluate 9 + 2.

9 + 2 = 11:

5^(11 - 1)

Hint: | Subtract 1 from 11.

| 1 | 1

- | | 1

| 1 | 0:

5^10

Hint: | Compute 5^10 by repeated squaring. For example a^7 = a a^6 = a (a^3)^2 = a (a a^2)^2.

5^10 = (5^5)^2 = (5×5^4)^2 = (5 (5^2)^2)^2:

(5 (5^2)^2)^2

Hint: | Evaluate 5^2.

5^2 = 25:

(5×25^2)^2

Hint: | Evaluate 25^2.

| 2 | 5

× | 2 | 5

1 | 2 | 5

5 | 0 | 0

6 | 2 | 5:

(5×625)^2

Hint: | Multiply 5 and 625 together.

5×625 = 3125:

3125^2

Hint: | Evaluate 3125^2.

| | | 3 | 1 | 2 | 5

× | | | 3 | 1 | 2 | 5

| | 1 | 5 | 6 | 2 | 5

| | 6 | 2 | 5 | 0 | 0

| 3 | 1 | 2 | 5 | 0 | 0

9 | 3 | 7 | 5 | 0 | 0 | 0

9 | 7 | 6 | 5 | 6 | 2 | 5:

Answer: | 9765625 = 9.765625×10^6

7 0
2 years ago
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