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yawa3891 [41]
3 years ago
15

Find the slope of the line in simplest form.

Mathematics
1 answer:
N76 [4]3 years ago
7 0

Answer:

-\frac{3}{2}

Step-by-step explanation:

To find the slope of the given line, slope is the rise divided by the run of a line.

  Slope  = \frac{y_{2} - y_{1}  }{x_{2} - x_{1}  }

  Picking points (4, 18)  and (8, 12)

 Now;

  x₁  = 4

  y₁  = 18

  x₂ = 8

  y₂ = 12

  Slope  = \frac{12 - 18}{8-4}   = -\frac{6}{4}   = -\frac{3}{2}

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If g(x) = x4<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" align="absmiddle" class="l
ELEN [110]
Answer: 69,904

Explanation:
g(-16)= (-16)^4-(-16)^3+(-16)^2-(-16)
g(-16)= (65,536)-(-4,096)+(256)-(-16)
g(-16)= 65,536+4,096+256+16
g(-16)=69,904

4 0
3 years ago
Which of the following is either a median or an altitude?
Blizzard [7]

Answer:

PR is an altitude

QT is a median.

Step-by-step explanation:

The altitude is the perpendicular height and the median is a line from 1 vertex to the middle of the opposite side.

5 0
3 years ago
Use long division to determine the quotient of the polynomials. (x3 – 7x – 6) ÷ (x – 4) Which of the following options best desc
Lelechka [254]

Answer:

The correct option is c.

Step-by-step explanation:

The quotient of the polynomials is

\frac{(x^3-7x-6)}{x-4}

We need to find the remainder by using long division method.

The dividend of the given expression is

Dividend=x^3-7x-6

Divisor=x-4

The long division method is shown below.

\frac{(x^3-7x-6)}{x-4}=(x^2+4x+9)+\frac{30}{x-4}

From the below attachment it is clear that the quotient has a remainder of 30. Therefore, the divisor is not factor of the dividend.

Therefore the correct option is c.

4 0
3 years ago
How many 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed?
sveta [45]
There are 6 digits.  Each digit can take ten different numbers except for the first digit since it cannot be zero.

So:

9 x 10 x 10 x 10 x 10 x 10

900000 numbers.

Another way of thinking about this is to just count up to 999,999.  Obviously there are 999,999 different numbers here.  But since our number has to have 6 digits in them, we have to delete 99,999 numbers.  Thus there are 900,000 different numbers.
6 0
3 years ago
a. Rewrite the equation in exponential form.b. Create a table of coordinates, using the exponential form from part (a). Begin by
Bond [772]

Gven

The lograthmic function, lograthmic fu

y=\log_4x

To find:

a) Rewrite the function in exponential form.

b) For each given value of y, find the value of x to complete the ordered pair.

c) The graph of the function.

Explanation:

It is given that,

y=\log_4x

a) Since,

It is known that,

\begin{gathered} y=\log_ax \\ \Rightarrow x=a^y \end{gathered}

Then,

x=4^y

Hence, the exponential form of the function is,

x=4^y

b) Also,

For y = -2,.

The value of x is given by,

\begin{gathered}  \\ \Rightarrow x=4^{-2} \\ \Rightarrow x=\frac{1}{4^2} \\ \Rightarrow x=\frac{1}{16} \end{gathered}

Hence, the ordered pair is (1/16, -2).

For y = -1,

\begin{gathered} x=4^{-1} \\ x=\frac{1}{4} \end{gathered}

Hence, the ordered pair is (1/4, -1).

For y = 0,

\begin{gathered} x=4^0 \\ x=1 \end{gathered}

Hence, the ordered pair is (1, 0).

For y = 1,

\begin{gathered} x=4^1 \\ x=4 \end{gathered}

Hence, the ordered pair is (4, 1).

For y = 2,

\begin{gathered} x=4^2 \\ x=16 \end{gathered}

Hence, the ordered pair is (16, 2).

c) Also, the graph of the given function is,

7 0
1 year ago
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