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blsea [12.9K]
3 years ago
10

1+3x+2x=-24 Multistep equation

Mathematics
1 answer:
Dvinal [7]3 years ago
3 0

1 + 3x + 2x =  - 24
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A square is a rectangle with equal sides.<br> True or False?
Digiron [165]
<h3>Answer:  True</h3>

Explanation:

A rectangle has all four angles that are 90 degrees. The side lengths may or may not all be the same length; however, we do know that the opposite sides are the same length.

A square is a special type of rectangle where all four sides are the same length and all angles are 90 degrees.

If a figure is a square, then it is automatically a rectangle, but not the other way around.

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2 years ago
0.425 as a fraction in simplest form
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3 years ago
Find the inflection point of the function of f(x) = x³ -6x² +12x
Wewaii [24]

Points of inflections are zeroes of the second derivative. We have:

f(x)=x^3-6x^2+12x\implies f'(x)=3x^2-12x\implies f''(x)=6x-12

So, the second derivative equals zero if and only if

f''(x)=0\iff 6x-12=0 \iff 6x=12 \iff x=2

So, this is the only point of inflection of this function.

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3 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
irga5000 [103]

Answer:

The rocket hits the ground at a time of 11.59 seconds.

Step-by-step explanation:

The height of the rocket, after x seconds, is given by the following equation:

y = -16x^2 + 177x + 98

It hits the ground when y = 0, so we have to find x for which y = 0, which is a quadratic equation.

Finding the roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

y = -16x^2 + 177x + 98

-16x^2 + 177x + 98 = 0

So

a = -16, b = 177, c = 98

\bigtriangleup = 177^{2} - 4(-16)(98) = 37601

x_{1} = \frac{-177 + \sqrt{37601}}{2*(-16)} = -0.53

x_{2} = \frac{-177 - \sqrt{37601}}{2*(-16)} = 11.59

Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.

4 0
3 years ago
Which of the following statements is the converse of the statement, "If each of two angles has a measure of 28 degrees, then the
kogti [31]

Answer:

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Step-by-step explanation:

The converse of a statement simply swaps the positions of the "if" and "then" clauses. Without any modification for clarity or readability, the converse would be ...

  if <em>two angles are equal in measure</em>, then <em>each of the two angles has a measure of 28 degrees</em>.

3 0
3 years ago
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