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3 years ago

What is the equation of a line that is perpendicular to y = 3 x − 2 and passes through the point ( 6 , 8 ) Was

Mathematics

1 answer:

Flauer [41]3 years ago

8 0

Hello!

To find the line that is perpendicular to y = 3x - 2 and passes through the ordered pair (6, 8), we will:

Find the negative reciprocal using the slope of the given function
Substitute the given ordered pair into the new equation with the slope found in step 1

Let's remind ourselves of slope-intercept formula. Slope-intercept formula is y = mx + b, where m is the slope, and b is the y-intercept.

In the given equation, we know that 3 is slope. With that, we can find the negative reciprocal of that slope, and continue to step #2.

To find the reciprocal, we will need to flip our fraction. In this case, 3/1 = 3, so once we flip it, it is 1/3. Since it is the negative reciprocal, the fraction is a negative, so the negative reciprocal is -1/3.

Now, we will substitute the ordered pair into the slope-intercept formula with our new slope.

y = -1/3x + b (6, 8)

8 = -1/3(6) + b

8 = -2 + b (add 2 to both sides)

10 = b

Therefore, the equation of the line is y = -1/3x + 10.

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25% of what number is 2? show your work

kakasveta [241]

Answer:

Step-by-step explanation:

2 4 6 8

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3 years ago

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Find the value of x and y if ordered pair (4,y) and (x,7) are equal

Lisa [10]

Answer:

$\huge\boxed{\sf x=4,\ y=7}$

Step-by-step explanation:

Given that:

(4,y) = (x,7) [Both are equal]

Comparing both sides of the equation:

we will get,

4 = x

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2 years ago

What is 3 1/8 - 1/2

irina1246 [14]

Answer:

$\frac{21}{8}$

Step-by-step explanation:

Given: $3\frac{1}{8} - \frac{1}{2}$

Let's changed that mixed number to an improper fraction. Now we get:

$\frac{25}{8} - \frac{1}{2}$

Let's find out least common denominator. This one is easy, the LCD is 8. Now that we know the LCD, let's convert both our fractions:

$\frac{25}{8} - \frac{4}{8}$

We can use $\frac{4}{8}$ because it is equal to $\frac{1}{2}$ . Now, all we need to do is subtract the numerators:

$\frac{25}{8} - \frac{4}{8}=\frac{21}{8}$

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3 years ago

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I need help , pleaseee

NemiM [27]

Answer:

Step-by-step explanation:

I honestly don't know how to explain this one.

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3 years ago

A forester measured 28 of the trees in a large woods that is up for sale. He found a mean diameter of 10.4 inches and a standard

JulsSmile [24]

Answer:

a) Attachment

b) 6 to 14.8 in

c) 2.5%

Step-by-step explanation:

Given:

- The mean is u = 10.4 in

- The standard deviation s.d = 4.4

- Sample size n = 28

Find:

- Choose the correct Normal model for tree diameters. A. B. C.

- What size would you expect the central 68% of all tree diameters to be?Using the 68-95-99.7 rule, the central 68% of the tree diameters are between ____ inches and _____ inches.

- About what percent of the trees should have diameters below 1.6 inches?

Solution:

- The central 68% lies within two s.d from mean.

10.4 + 1*4.4 = 14.8

10.4 - 1*4.4 = 6

Hence, the central 68% are between 6 and 14.8 inches.

- The central 95% lies within two s.d from mean.

10.4 + 2*4.4 = 19.2

10.4 - 2*4.4 = 1.6

- The central 95% are between 1.6 and 19.2 inches.

- Hence, P ( X < 1.6) = (1 - 0.95)/2 = 0.025 or 2.5%

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3 years ago