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Triss [41]
3 years ago
9

HELP AGAIN PLEASE 20 POINTS What methods can be used to solve a system of equations and when would you use each? Be sure to incl

ude systems with nonlinear equations.​
Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0

Answer:

The three ways to solve a system of equations are substitution, elimination, and graphing. You can use these methods to solve any system of equations, it just depends on which method you use.

Step-by-step explanation:

In the substitution method, you get one variable isolated on one side of an equation, then use that equation to substitute the variable with what it's equal to into the second equation to solve the equation.

In the elimination method, you get all the variables in your equations together one side, and the constant on the other. Then, multiply or divide one or two equations to get one variable with the same coefficient for both equations (be sure to multiply or divide both sides to each equation), and add or subtract the equations together to get rid of that variable (make sure to add the left sides of the equations together and the right sides of the equations together, no the opposite!) and solve the equation.

In the graphing method, you solve for y in each equation, graph both equations on a coordinate plane, and find the point of intersection for both lines to solve the equation (For example, if the point of intersection is (2, 7), the answer to your equation would be X = 2 and Y = 7).

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How many terms are in the expression 6w- 3x+9y- 8z+ 12​
kirill [66]

Answer:

5

Step-by-step explanation:

<u>Definition of term:</u>

        A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.

                 6w- 3x+9y- 8z+ 12​

                                   \/

6w          - 3x        +9y          - 8z          + 12​

                         Hope this helps, have a nice day! :D

8 0
2 years ago
Which equation can be used to find the perimeter of a regular pentagon with sides of length 15 inches?
tresset_1 [31]
The perimeter means the sum of all sides.
So, In pentagon, it would be: 5(15)   [ With five sides ]

In short, Your Answer would be Option C

Hope this helps!
3 0
3 years ago
Read 2 more answers
If f(x)=square root 4x+9+2, which inequality can be used to find the domain of f(x)?
jenyasd209 [6]

we have

f(x)=\sqrt{4x+9} +2

we know that

The radicand must be greater than or equal to zero

so

4x+9 \geq0 \\ 4x\geq -9 \\x\geq -\frac{9}{4} \\ x\geq -2.25

the domain is is the interval--------> [-2.25,∞)

therefore

<u>the answer is</u>

4x+9 \geq0


8 0
3 years ago
Read 2 more answers
There is a bag filled with 4 blue, 3 red and 5 green marbles.
zhannawk [14.2K]

Answer:

You are selecting marbles with replacement. The marble selections (trials) are independent and the marble selection follows the binomial distribution.

The probability of selecting a red marble the first time is 1313.

(This is because 4 out of 12 marbles are red and412412 reduces to 1313.

The probability of selecting a red marble the second time is 1313.

The marble selections are independent and you can multiply the two probabilities to get the following:

probability of getting 2 reds = (13)2(13)2

=19=19.

So the probability of getting two reds is 1919.

7 0
2 years ago
Line segment NY has endpoints N(-11, 5) and Y(3,-3).
777dan777 [17]

Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

The equation of the perpendicular bisector of NY.

Solution:

Midpoint point of NY is

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)

Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)

Midpoint=\left(-4,1\right)

Slope of lines NY is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{-3-5}{3-(-11)}

m=\dfrac{-8}{14}

m=\dfrac{-4}{7}

Product of slopes of two perpendicular lines is -1. So,

m_1\times \dfrac{-4}{7}=-1

m_1=\dfrac{7}{4}

The perpendicular bisector of NY passes through (-4,1) with slope \dfrac{7}{4}. So, the equation of perpendicular bisector of NY is

y-y_1=m_1(x-x_1)

y-1=\dfrac{7}{4}(x-(-4))

y-1=\dfrac{7}{4}(x+4)

y-1=\dfrac{7}{4}x+7

Add 1 on both sides.

y=\dfrac{7}{4}x+8

Therefore, the equation of perpendicular bisector of NY is y=\dfrac{7}{4}x+8.

6 0
2 years ago
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