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lianna [129]
3 years ago
7

Solve the system by substitution 2y-2x=8;x+y=14

Mathematics
2 answers:
Irina18 [472]3 years ago
5 0

Solve for the first variable in one of the equations, then subsitute the result into the other equation.

Point Form: (5, 9)

Equation Form: x = 5, y = 9

GrogVix [38]3 years ago
4 0
Answer:

Simplifying
2y + -2x = 8

Reorder the terms:
-2x + 2y = 8

Solving
-2x + 2y = 8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.
-2x + 2y + -2y = 8 + -2y

Combine like terms: 2y + -2y = 0
-2x + 0 = 8 + -2y
-2x = 8 + -2y

Divide each side by '-2'.
x = -4 + y

Simplifying
x = -4 + y
___________________________________

Simplifying
x + y = 14

Solving
x + y = 14

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1y' to each side of the equation.
x + y + -1y = 14 + -1y

Combine like terms: y + -1y = 0
x + 0 = 14 + -1y
x = 14 + -1y

Simplifying
x = 14 + -1y

Hope that helps you :)
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Find the surface area of the cylinder and round to the nearest tenth. (It is recommended that you use the π button on your calcu
elena-s [515]

The surface area of the cylinder is 18.84 square feet

<h3>How to determine the surface area?</h3>

The given parameters are

Height, h = 2 ft

Diameter, d = 2 ft

The radius (r) is half of the diameter (d)

This is calculated as:

Radius = Diameter/2

So, we have:

r = d/2

Substitute 2 for d

r = 2/2

Evaluate the quotient i.e. divide 2 by 1

r = 1

The surface area is then calculated using the following formula

A = 2πr² + 2πrh

Substitute the given values in the above equation

So, we have:

A = 2 * 3.14 * 1^2 + 2 * 3.14 * 1 * 2

Evaluate the exponents

A = 2 * 3.14 * 1 + 2 * 3.14 * 1 * 2

Evaluate the products

A = 6.28 + 12.56

Evaluate the sum

A = 18.84

Hence, the surface area of the cylinder with the given height and radius is 18.84 square feet

Read more about surface area at:

brainly.com/question/2835293

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4 0
2 years ago
Which graph correctly solves the system of equations below? y = −x2 + x + 7 y = x2 + 3x + 7
antiseptic1488 [7]

Answer:

(-1.703, 2.396)

(1.37, 6.493)

Step-by-step explanation:

We can easily solve this question by using a plotting tool or any graphing calculator,

The solution to the system of equation is given by the intersection points between the graphs of

y1 = −x^2 + x + 7

y2 = x^2 + 3x + 7

Please, see attached picture below.

The solutions are:

(-1.703, 2.396)

(1.37, 6.493)

5 0
3 years ago
What is 0.125 0.4 0.62 1.05 0.05 from least to greatest
aksik [14]

0.05

0.125

0.4

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7 0
3 years ago
6x2 - 5x - 4 is equivalent to:
Sophie [7]

Answer:

<em>(</em><em>2</em><em>x</em><em> </em><em>+</em><em> </em><em>1</em><em>)</em><em> </em><em> </em><em>(</em><em>3</em><em>x</em><em> </em><em>-</em><em> </em><em>4</em><em>)</em>

Step-by-step explanation:

Solution:

  • 6x² - 5x - 4
  • 6x²- (8 - 3)x - 4
  • 6x²- 8x + 3x - 4
  • 2x (3x - 4) +1 (3x - 4)
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A music store 3,550 CDs. Each CD rack holds 15 CDs. How many racks does the store need to use to hold all the CDs?
pentagon [3]
3550 cds divided by 15 cds/ rack = 236.66667

Meaning that there will be 236 full racks and the last rack will only have 10 cds
5 0
3 years ago
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