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julsineya [31]
3 years ago
5

Match each expression written in standard form to the equivalent expression in factored form

Mathematics
1 answer:
den301095 [7]3 years ago
4 0

Answer:

1. 15x^7y^2 + 4x^3 => x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x => 3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy => 3xy(5x^6y + 2)

4. 15x^7 + 10y^2 => 5(3x^7 + 2y^2)

Step-by-step explanation:

To obtain the answer to the question, first let us factorise each expression. This is illustrated below:

1. 15x^7y^2 + 4x^3

Common factor is x^3, therefore the expression is written as:

x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x

Common factor is 3x, therefore the expression is written as:

3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy

Common factor is 3xy, therefore the expression is written as:

3xy(5x^6y + 2)

4. 15x^7 + 10y^2

Common factor is 5, therefore the expression can be written as:

5(3x^7 + 2y^2)

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Can someone explain me this please
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  • Mass (M) of space shuttle = 1.0 × 105 kg.
  • Altitude (r) = 200.0 km

\\\purple{\maltese}\large\underline{\underline{\red{\sf\:\: To \: \:   Find  :}}} \\

  • The force of gravity that the space shuttle experiences = ?

\\\purple{\maltese}\large\underline{\underline{\red{\sf\:\: Solution :}}} \\ \\

\purple{\maltese}\large\underline{\underline{\sf\:\: using \: formula :}} \\ \\

\bigstar \: \underline{ \boxed{\sf { \pink{g = \frac{G \: M}{{r }^{2} }}}}} \\  \\

\\ ❒\:  \: \underline{\textbf {Putting values \: in \: the \: \: given \: formula :}} \\

\sf \implies \: g = \frac{G \: M}{{r }^{2} }  \\

\sf \implies \: g = \frac{6.67×10^{-11} × 1.0×10^5}{(2×10^5)^{2} }  \\

\sf \implies \: g = \frac{6.67×10^{-6}}{4×10^{10}}\\

\sf \implies \: g = \frac{6.67×10^{-6}}{4×10^{10}} \\

\sf \implies \: g =1.6675×10^{-6-10}\\

\sf \implies \: g =1.6675×10^{-16}\: Newton\\\\

\:\:\:\:\:\:\:\qquad\rule{150pt}{2pt} \\\\

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2 years ago
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victus00 [196]

Answer:

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Step-by-step explanation:

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3 years ago
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Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ &lt; 360°.
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A polar coordinate is that which can be written as (r, θ) where r is the radius and θ is the angle. 

The radius, r, is also the hypotenuse of the right triangle that can be formed. Hence, it can be calculated through the equation,
    
                   r² = x² + y²
If we are to simplify this for the r alone, we have,
                     r = sqrt (x² + y²)

Substituting the known values,
               r = sqrt ((4)² + (-4)²) = 4√2

The x and y can be related through the trigonometric function, tangent. 
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To solve for θ
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Hence, the polar coordinate is <em>(4√2, 315°)</em>
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pishuonlain [190]

Answer:

The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.

Step-by-step explanation:

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Now, find the margin of error M as such

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In which \sigma is the standard deviation of the population and n is the size of the sample.

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The upper end of the interval is the sample mean added to M. So it is 21.6 + 0.3 = $21.9.

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