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MaRussiya [10]
3 years ago
15

***Question is on the picture ​

Mathematics
1 answer:
RUDIKE [14]3 years ago
5 0

Answer:

M(4, -3)

Step-by-step explanation:

Reflecting over the x-axis is simple:

If the x is positive, the reflection would be negative and vice versa.

In this case, the <em>y </em>isn't affected since it's only reflecting over the x-axis.

So, M is at the coordinates (4, -3)

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What is the slope of the line which passes through (−2, 0) and (0, 4)? (5 points) 2 Undefined −2 0
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Answer:

The answer is option 1.

Step-by-step explanation:

You have to apply Gradient formula :

m =  \frac{y2 - y1}{x2 - x1}

let \: (x1 \: , \: y1) \: be \: ( - 2 \: , \: 0)

let \: (x2 \: , \: y2) \: be \: (0 \: , \: 4)

m = \frac{4 - 0}{0 - ( - 2)}

m =  \frac{4}{2}

m = 2

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Answer: C 20/51

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ale4655 [162]
The first one is 6/12 second is 2/10 third is 3/12 fourth is 1/5 fifth one is 3/4
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The perimeter of a rectangle is 222 millimeters.If the length is 60 millimeters,what is the width of the rectangle?
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Write an explicit rule in function form for the sequence represented by the given terms.
hram777 [196]

Answer:

The general relation about a geoemtric sequence is

a_{n}=a_{1}r^{n-1}

For the first sequence, we have

3=a_{1}r^{5-1}

147=a_{1}r^{7-1}

Which is a system of equations. We can isolate a variable in the first equation to replace that expression into the second equation.

a_{1}=\frac{3}{r^{4} }

147=\frac{3}{r^{4}  }r^{6}

r^{2}=\frac{147}{3}\\  r=\sqrt[2]{49}\\r=7

Now, we replace this value to find the other one

3=a_{1}(7)^{4}\\ a_{1}=\frac{3}{2401}

Therefore, the explicit rule function is

a_{n}=\frac{3}{2401}  \times (7)^{n-1}

Now, we use the same process for the second sequence.

10=a_{1}r^{3-1}  \\a_{1}=\frac{10}{r^{2} }

The second equation is

1440=a_{1}r^{5-1}\\a_{1}=\frac{1440}{r^{4} }

Now, we solve the following expression

\frac{10}{r^{2} }=\frac{1440}{r^{4} }

We solve for r

\frac{r^{4} }{r^{2} }=\frac{1440}{10}\\r^{2}=144\\ r=\sqrt{144} \\r=12

Then

a_{1}=\frac{10}{(12)^{2} }  =\frac{10}{144}=\frac{5}{72}

Therefore, the function that models the second sequence is

a_{n}=\frac{5}{72} \times (12)^{n-1}

Notice that a_{n} is the dependent variable and n is the independent variable.

5 0
3 years ago
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