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Deffense [45]
4 years ago
14

Solve by completing the square:X^2+6x-12=0

Mathematics
1 answer:
Ira Lisetskai [31]4 years ago
5 0
X² + 6x  -12 = 0
x = <u>-(6) +/- √((6)² - 4(1)(-12))</u>
                     2(1)
x = <u>-6 +/- √(36 + 48)</u>
                   2
x = <u>-6 +/- √(84)
</u>              2<u>
</u>x = <u>-6 +/- 2√(21)
</u>               2<u>
</u>x = -3 <u>+</u> √(21)
x = -3 + √(21)      x = -3 - √(21)
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To treat a burn on his hand, a person decides to place an ice cube on the burned skin. The mass of the ice cube is 10.0 g, and i
meriva

Answer:

Q = 4859.152\,J

Step-by-step explanation:

The heat absorbed by the ice cube is calculated by the following formula:

Q = (10\,g)\cdot[(2.090\,\frac{J}{kg\cdot ^{\textdegree}C} )\cdot (0^{\textdegree}C +12.2^{\textdegree}C)+334\,\frac{J}{g} + (4.186\,\frac{J}{kg\cdot ^{\textdegree}C})\cdot (30.2^{\textdegree}C-0^{\textdegree}C)]

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4 years ago
Calculate the area of the window using the dimensions given in Part A. SHOW YOUR WORK and EXPLAIN YOUR REASONING.
SashulF [63]

The shape of the window is a trapezoid, and the area of the window is 110.88 square feet

<h3>How to determine the area of the window?</h3>

The given parameters are:

  • Long base = 15.2 feet
  • Short base = 11.2 feet
  • Perpendicular height = 8.4 feet

The shape of the window is a trapezoid.

So, the area is:

Area = 0.5 * (Long + Short) * Height

This gives

Area = 0.5 * (15.2 + 11.2) * 8.4

Evaluate

Area = 110.88

Hence, the area of the window is 110.88 square feet

Read more about areas at:

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Which angles are congruent to each other?
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this is right

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The length of a text message is conversation is normally distributed with a mean of 2 min and a standard deviation of 0.5 min.
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\mathbb P(X>3)=\mathbb P(Z>2)\approx0.025
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