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sesenic [268]
2 years ago
12

Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=3x+2

Mathematics
1 answer:
Levart [38]2 years ago
7 0

Answer:

the desired equation is y = (-1/3)x + 6

Step-by-step explanation:

Let the given line be A:  y=3x+2

The slope of line A is m = 3.

The slope of any line B which is perpendicular to line A is the negative reciprocal of the slope of A:  m = -(1/3).

The particular perpendicular line that passes through (3, 5) is then

5 = (-1/3)(3) + b, which simplifies to 5 = -1 + b, or b = 6.

Thus, the desired equation is y = (-1/3)x + 6

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How do I write this in radical form with steps and the final answer please
alekssr [168]

Answer:

6 * \sqrt[3]{x}

Step-by-step explanation:

6 x^1/3

The 1 means inside to the power of 1 and the 3 means to the cubed root

6 * \sqrt[3]{x}

7 0
2 years ago
Help as soon possible thank you ​
Sergeeva-Olga [200]

<u>Answer:</u>

The correct answer option is D. (-2, 1).

<u>Step-by-step explanation:</u>

We are given the coordinates of the square A"B"C"D" after the rule is applied and we are to find the coordinates of the vertex A.

For that, we will reverse the rule.

A" = (-5, -3)

x: - 5 + 4 = -1

y: - 3 + 1 = -2

Now we will reverse the 90 degrees counter in counter clockwise rotation:

(x, y) ---> (y, -x)

(-1. -2) ---> (-2, -(-1)) = (-2, 1)

8 0
3 years ago
G) There are 3 boys and 2 girls in the Krunch family. Mr.
timurjin [86]

Answer:

0.6 pounds each

Step-by-step explanation:

3+2=5

3/5 or 3÷5= 0.6

4 0
2 years ago
Read 2 more answers
Consider the dot plot below. Of the following statements, which two characteristics of this dot plot make the median a better ch
Vilka [71]

The data are skewed and there is an outlier statement first is correct.

<h3>What is the box and whisker plot?</h3>

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have data on the box plot.

Because the dots decrease as the number line grows, the depicted dot plot is skewed right.

The graph's "tail" is pushed toward greater positive numbers. As a result, the mean is pushed towards the graph's tail and is higher than the median.

Thus, the data are skewed and there is an outlier statement first is correct.

Learn more about the box and whisker plot here:

brainly.com/question/3209282

#SPJ1

5 0
1 year ago
What is the equation of the line passing through the points (4, -7.5) and (6, -3.5) in slope-intercept form?
Ratling [72]

Answer:

Your answer will be

y=2x-15.5

Step-by-step explanation:

Hi, there you must know the slope-intercept form which is

y=mx+b

m=slope

b=y-intercept

You can also use

the slope formula which is

\frac{y_2-y_1}{x_2-x_1}

in this case

it will look like this

\frac{-7.5-(-3.5)}{6-4}=\frac{-4}{2}=-2

So the slope is -2

Now we will find the y-intercept

-7.5=2(4)+b

-7.5=8+b   Subtract 8 both sides

-15.5=b

Your y-intercept is -15.5

Hope this helps

6 0
2 years ago
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