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2 years ago

15

Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge

, and be neat. When you are finished, enter the solution set in the box below and turn in your graph paper to your teacher.
x + y = 0
x - y + 2 = 0

1 answer:

Nezavi [6.7K]2 years ago

6 0

Your graph will look like an x (ok, the y axis is at a weird place in my plot). The solution (ie., the point where the two graphs intersect) is at (-1,1).

You can also calculate this by equating the two formulas:

x+y = x-y+2 => 2y = 2 => y=1, x =-1.

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After working for 6 hours, Kevin earned $51.00. What is Kevin's unit rate.

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Following are the solution to the question:

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2 years ago

What two numbers multiply to -126 and add up to -65

Airida [17]

Xy = -126
x + y = -65

$xy = -126$
$\frac{xy}{x} = \frac{-126}{x}$
$y = \frac{-126}{x}$

$x + y = -65$
$x + \frac{-126}{x} = -65$
$\frac{x^{2}}{x} + \frac{-126}{x} = -65$
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$0 = x^{2} + 65x - 126$
$x = \frac{-(65) \+ \sqrt{(65)^{2} - 4(1)(-126)}}{2(1)}$
$x = \frac{-65 \± \sqrt{4225 + 504}}{2}$
$x = \frac{-65 \± \sqrt{4729}}{2}$
$x = \frac{-65 \± 68.8}{2}$
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$x = \frac{3.8}{2}$ $or$ $x = \frac{-133.8}{2}$
$x = 1.9$ $or$ $x = -66.9$

x + y = -65
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- 1.9   - 1.9
y = -66.9
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or

  x + y = -65
  -66.9 + y = -65
+ 66.9 + 66.9
y = 1.9
  (x, y) = (-66.9, 1.9)

The two numbers that add up to -65 and can multiply to -126 are the numbers -66.9 and 1.9.

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ss7ja [257]

Answer: last option (5π√146 units²)

Step-by-step explanation:

To solve the exercise you must apply the formula for calculate the lateral area of a cone, which is shown below:

$LA=r*L*\pi$

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As you can see in the figure attached:

$r=5$

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