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marishachu [46]
3 years ago
15

What is the equation, in slope-intercept form, of the line that is perpendicular to the line

Mathematics
1 answer:
Drupady [299]3 years ago
5 0

Answer:

y = -x - 4

Step-by-step explanation:

Determine the slope of y -4 = (x - 6).

To do this, compare:

y -4 = (x - 6)

y - k = m(x - h), where m represents the slope of the line.

Here the slope of the given line is 1.

We want the equation of a line perpendicular to the given line, whose slope is 1.  The slope of the perpendicular line is then -1/1, or -1 (think:  "negative reciprocal").

Now we're ready to write the desired equation in slope-intercept form y = mx + b:

Since this new line passes through (-2, -2), the following is true:

-2 = (-1)(-2) + b.  Thus, b = -4, and the desired equation is then

y = -x - 4

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Firdavs [7]

Answer:

She will not meet her goal.

Step-by-step explanation:

There are 5 weekdays, so she will run for 0.5 * 5 = 2.5 hours over the weekdays

There are 2 weekends, so she will run for 2 * 1 = 2 hours over the weekend.

In total, this means she will run for 4.5 hours.

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She will not meet her goal.

8 0
3 years ago
Simplify: 3x(x^2 + 4x - 5)
Alina [70]

Answer:

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Step-by-step explanation:

First, you would have to distribute the 3x to everything in the parentheses. So you can write it out as (3x*x^2)+(3x*4x)+(3x*5). Solving this will give you the answer. We'll start off with (3x*x^2). Because we are MULTIPLYING, this part will equal to 3x^3. There is ONE x with 3x (think of it as 3x^1) and 2 x's in x^2, having a total of 3 x's, or x^3. Since the 3 is being multiplied as well, we can write it as 3x^3.

Second, we will solve (3x*4x). We are multiplying, so first we multiply 3*4 and then x*x. 3*4 is 12 and x*x is x^2.  There are 2 x's being mutipled by each other, so the x becomes squared. Now we finish and multiply 12*x^2 wich is 12x^2.

Lastly, we solve (3x*5). 3x is being multiplied 5 times which gives us 15x.

I hope this helped :)

3 0
3 years ago
Least common factor for 39 and 125
horsena [70]
4875 is the least common 
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3 years ago
Chloe baked 6 brownies with nuts on top and 9 brownies without nuts. What is the ratio of the number of brownies without nuts to
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Answer:

6:9 ÷3

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Step-by-step explanation:

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dedylja [7]

Answer:

2/9 is less than 1/3

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