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ra1l [238]
3 years ago
14

I need a paragraph about equations. Can someone help me??

Mathematics
1 answer:
Margaret [11]3 years ago
3 0
<span>1. System of equations</span>

Well, the definition of a system of linear equations is: Any equation that can be written in the form Ax + By = C. ... The System of equations is a set of equations with the same variables is a system of equations.1. ... Solve the newer equation, then substitute the value found into any equation involving both variables and solve for the other variable. ... To sum up this paper, There are three types of systems of equations. There is 3 ways to algebraically solve systems of equations

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Please Help Me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
GuDViN [60]

Answer:

(-2, 11) and (2, 3)

Step-by-step explanation:

<u>Given system of equations:</u>

1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3

2) f(x) = -2x + 7 ⇒ y = -2x + 7

Solve Using the Substitution Method:

<u>Step 1:</u> Substitute the the first equation into the second.

⇒ x² - 2x + 3 = -2x + 7

<u>Step 2:</u> Solve for x.

x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]

x² - 2x + 2x + 3 = -2x + 2x + 7

⇒ x² + 3 = 7 [ Subtract 3 from both sides. ]

x² + 3 - 3 = 7 - 3

⇒ x² = 4 [ Take the square root of both sides. ]

√x² = √4

x = ± 2

⇒ x = -2, x = 2

<u>Step 3:</u> Solve for y.

<em>Substitute the found x-values into one of the given equations.</em>

y = -2x + 7 ⇒ y = -2(-2) + 7 ⇒ y = 4 + 7 ⇒ y = 11

y = -2x + 7 ⇒ y = -2(2) + 7 ⇒ y = -4 + 7 ⇒ y = 3

The solutions to the system of equations are: (-2, 11) and (2, 3).

Learn more about system of equations here:

brainly.com/question/26094713

brainly.com/question/27850666

5 0
2 years ago
Read 2 more answers
2.<br> What is the equation of a hyperbola with a = 8 and c=20
jek_recluse [69]

Answer:

Just Assume that the transverse axis is horizontal

5 0
3 years ago
A circle is centered at the point (5, -4) and passes through the point (-3, 2).
zepelin [54]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

As we know the given points

Center = (5, -4)

and

Point on circle = (-3,2)

The distance between point on circle and center will give us the radius of circle

So,

The formula for distance is:

\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1})^{2}}\\Taking\ center\ as\ point\ 1\ and\ the\ other\ point\ as\ point\ 2\\d=\sqrt{(-3-5)^{2}+(2-(-4))^{2}}\\d=\sqrt{(-8)^{2}+(2+4)^{2}}\\d=\sqrt{(-8)^{2}+(6)^{2}}\\\\d=\sqrt{64+36}\\d=\sqrt{100} \\ d=10\\So\ the\ radius\ is\ 10

The standard form of equation of circle is:

(x-h)^{2}+(y-k)^{2}=r^{2}

where h and k are the coordinates of the center. So putting in the value:

(x-5)^{2}+(y-(-4))^{2}=(10)^{2}\\(x-5)^{2}+(y+4)^{2}=100

8 0
3 years ago
Anna picked 200 apples at a orchard. 40% where green. How many green apples for annabelle pick.
nadya68 [22]

Answer:

80

Step-by-step explanation:

I used a calculator to solve

4 0
3 years ago
What is the area of the following circle?
satela [25.4K]

Answer:

This is the answer of your question.

8 0
3 years ago
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