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4 years ago

Find the slope intercept equation that passes through (-3,8) and is perpendicular to the line with the equation: x-7y=12

Mathematics

1 answer:

mafiozo [28]4 years ago

4 0

Answer:

C. y = 7x + 29 .

Step-by-step explanation:

First find the slope of the given line:

x - 7y = 12

7y = x - 12

y = 1/7 x - 12/7

The slope = 1/7 so the slope of the line perpendicular to this line is

- 1 / -1/7 = 7.

Finding the equation of the required line:

y - y1 = m(x - x1)

y1 = 8 , m = 7 and x1 = -3:

y - 8 = 7(x + 3)

y = 7x + 21 + 8

y = 7x + 29 answer.

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Solve 9^x + 4 = 11 for x using the change of base formula log base b of y equals log y over log b.

Sauron [17]

Answer:

If you meant $9^x+4=11$ , then the answer is approximately 0.866.

If you meant $9^{x+4}=11$ , then the answer is approximately -2.909 which looks like what you meant based on the choices.

Step-by-step explanation:

$9^x+4=11$

First step is to get the exponential part by itself. The part that has the variable exponent which is the $9^x$ term.

To do this we need to subtract 4 on both sides:

$9^x=11-4$

Simplify:

$9^x=7$

The equivalent logarithmic form is:

$\log_9(7)=x$

I always say to myself the logarithm is the exponent that is how I know what to put opposite the side containing the log.

Anyways if you don't have options for computing $\log_b(a)$ in your calculator you need to use the change of base formula.

$\frac{\log(7)}{\log(9)}=x$

So $x \approx 0.8856$

I don't see this as a choice so maybe you actually meant the following equation:

$9^{x+4}=11$

Let's see if this is the correct interpretation.

So the exponential part is already isolated.

So we just need to put in the equivalent logarithmic form:

$\log_9(11)=x+4$

Now we subtract 4 on both sides:

$\log_9(11)-4=x$

Again if you don't have the option for computing $\log_b(a)$ in your calculator, you will have to use the change of base formula:

$\frac{\log(11)}{\log(9)}-4=x$

$x \approx -2.909$

6 0

3 years ago

Select the correct answer.

rusak2 [61]

Answer:

the answer is E. none of the above

8 0

3 years ago

In the data set below, what is the mean absolute deviation? 9,8,3,2,5 If the answer is a decimal, round it to the nearest tenth.

alexandr402 [8]

Answer:

Step-by-step explanation:

9,8,3,2,5

3/5=0.6

0.6

3 0

3 years ago

Which graph represents an even function?

soldi70 [24.7K]

Answer: last graph

Step-by-step explanation: Graphs of functions that are ODD, are symmetric about the origin.

Graphs of function that are EVEN, are symmetric about y-axis.

We need to figure out which one of the 4 are EVEN. So we take y-axis as the mirror and see both sides, LEFT and RIGHT and see i the points are symmetric or not.

Graph 1, 2, 3 ---- not symmetric about y-axis

Graph 4 ------- Definitely every point to left side of y-axis has a corresponding mirror point to the right of y-axis. So this is an EVEN FUNCTION.

8 0

3 years ago

Can ya'll finish this worksheet for me?

Andrei [34K]

Answer:ohioyuh

Step-by-step explanation:

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3 years ago