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3 years ago

9

How do you decide whether substitution is the best method to solve a system in three variables?

1 answer:

Ivan3 years ago

3 0

<span>Select one equation and solve it for one of its variables.
In the other equation, substitute for the variable just solved.
Solve the new equation.
<span>Substitute the value found into any equation involving both variables and solve for the other variable. </span></span>

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A circular mirror is surrounded by a square metal frame. The radius mirror is 6x the side length of the medal frame is 18x. What

wolverine [178]

Answer:

Step-by-step explanation:

Given:

Radius of circular mirror, r = 6x

Length of metal frame, l = 18x

Area of square, As = l^2

Area of square = 18x × 18x

= 324 x^2.

Area of circular mirror, Ac = pi × r^2

= π × (6x)^2

= 36π x^2.

The expression for the area of the frame is subtracting the mirror from the metal frame = As - Ac

= 324x^2 - 36πx^2

= 36x2 (9 - π).

4 0

3 years ago

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in each of the following divide the second number by the first number and find the quotient:3/4,-3/8

madam [21]

Answer:

-3

Step-by-step explanation:

-3/8÷3/4

=-3/8×4/3

=-6/2

=-3

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3 years ago

What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?

tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

$y=x^{2}-8x+15$

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

$x^{2}-8x+15=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-8x+15=0$

so

$a=1\\b=-8\\c=15$

substitute in the formula

$x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}$

$x=\frac{8\pm\sqrt{4}} {2}$

$x=\frac{8\pm2} {2}$

$x=\frac{8+2} {2}=5$

$x=\frac{8-2} {2}=3$

so

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0

3 years ago

What is the differance between constructing a square and construciting an eguilateral triangle

Aleksandr-060686 [28]

Answer:

One has 4 sides and one has 3 sides

Step-by-step explanation:

a square has 4 sides and an equilateral triangle has 3 sides

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3 years ago

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Four more than the product of x and y

Naddika [18.5K]

The answer to this one is<em> xy + 4</em>

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3 years ago