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padilas [110]
3 years ago
6

Write the product in standard form. ( 9 + 5i)( 9 + 8i)

Mathematics
1 answer:
erik [133]3 years ago
8 0
The product of the expression given above most likely yield a complex number since the expression as well is a complex number. A complex number is a real number, an imaginary number or a number with both real and imaginary number. Its standard form is:

a + bi

<span>( 9 + 5i)( 9 + 8i)
</span>81 + 72i + 45i -40
41 + 117i
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Which statement is true about the value of |-14|?
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It is the distance between -14 and 0 on the number line
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When the following expression is written in simplest form, what is the coefficient of the variable term? -2.5y + 8y - 10.5y
LUCKY_DIMON [66]

Answer:

Option 1 is correct.

-5

Step-by-step explanation:

Given:

The given expression is.

=-2.5y+8y-10.5y

Write the given expression in simplest form.

=-2.5y+8y-10.5y

Add negative term of y.

=-13y+8y

=-5y

The simplest form of given expression is =-5y

Therefore, the coefficient of the variable term is -5

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4 years ago
What is negation of any number
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7 0
3 years ago
The graph of g(x) is a transformation of the graph of f(x)=3x. Enter the equation for g(x) in the box. G(x) =.
dalvyx [7]

Function transformation involves changing the form of a function

The function g(x) is \mathbf{g(x) = 8(2)^x}

The function is given as:

\mathbf{f(x) = 3^x}

g(x) is an exponential function that passes through points (-2,2) and (-1,4).

An exponential function is represented as:

\mathbf{y = ab^x}

At point (-2,2), we have:

\mathbf{2 = ab^{-2}}

At point (-1,4), we have:

\mathbf{4 = ab^{-1}}

Divide both equations

\mathbf{\frac 42=\frac{ab^{-1}}{ab^{-2}}}

Simplify

\mathbf{2=\frac{b^{-1}}{b^{-2}}}

Apply law of indices

\mathbf{2=b^{-1+2}}

\mathbf{2=b}

Rewrite as:

\mathbf{b =2}

Substitute 2 for b in \mathbf{2 = ab^{-2}}

\mathbf{2 =a(2^{-2})}

This gives

\mathbf{2 =a(\frac 14)}

Multiply both sides by 4

\mathbf{a = 8}

Substitute 8 for (a) and 2 for (b) in \mathbf{y = ab^x}

\mathbf{y = 8(2)^x}

Express as a function

\mathbf{g(x) = 8(2)^x}

Hence, the function g(x) is \mathbf{g(x) = 8(2)^x}

Read more about exponential functions at:

brainly.com/question/11487261

8 0
3 years ago
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