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olga nikolaevna [1]
3 years ago
6

use the coordinates of the labeled point to find the point-slope equation the line (3,-5) A. y- 5 = -3(x+3) B. y-3=1/3(x+5) C. y

+5)=-3(x-3) D. Y+5=3(x+3)
Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
7 0

Answer:

\large\boxed{C.\ y+5=-3(x-3)}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

We have the point:

(3,\ -5)\to x_1=3,\ y_1=-5

Substitute:

y-(-5)=m(x-3)\\\\y+5=m(x-3)

dimulka [17.4K]3 years ago
5 0

Answer:

The answer is C. y+5=3(x-3)

Step-by-step explanation:

Point Slope Form is y - y1 = m (x-x1)

Since -5 is a negative, it becomes a + when y is subtracted by it, so y+5. 3 then converts x-3!

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A 76 foot piece of rope is cut into three pieces where one piece is three times longer than the other two equal pieces. How long
jonny [76]
Let the length of one of the shorter pieces be \ell. Then, we know that two of the pieces are that length, and the third piece is 3 \ell. Since these are all pieces of a rope, all we need to do to figure out the lengths is add all those together, solve for \ell, and then plug that back in to the desired lengths:

3 \ell + \ell + \ell = 76 ft.
5 \ell = 76 ft.
\ell = 15.2 ft.

Shorter pieces: \ell = \bf 15.2 ft.
Longer piece: 3 \ell = \bf 45.6 ft.
4 0
3 years ago
Which of the following pairs represents a solution to the equation graphed below
kompoz [17]

Answer:

(-1, -1)

Step-by-step explanation:

It's the only one that lies on the graph.

4 0
3 years ago
PLEASE help <br><br><br> xº<br> 520<br> 38°<br> 220°<br> X = degrees
muminat

Step-by-step explanation:

by complete angle

x+38+52+220=360

x+310=360

x=360-310

x=50

6 0
3 years ago
Mrs. McAlister wrote the equation 10 t minus 4 t + 3 t = 8 on the board and asked students to write an equivalent equation. The
tia_tia [17]
10t - 4t + 3t = 8
13t - 4t = 8 (will do addition first)
9t = 8
So, Tanisha’s equation will be equivalent
As Tanisha’s equation is :
9t = 8
4 0
3 years ago
Consider the following sample set of scores. Assume these scores are from a discrete distribution. 21 29 32 38 38 45 50 64 72 10
ASHA 777 [7]

Answer:

Original data: 21 29 32 38 38 45 50 64 72 100

\bar X = \frac{21+29+32+38+38+45+50+64+72+100}{10}=48.9

Mode =38.

Median = \frac{38+45}{2}=41.5

Change 1: 2 29 32 38 38 45 50 64 72 100

\bar X = \frac{2+29+32+38+38+45+50+64+72+100}{10}=47

Mode =38.

Median = \frac{38+45}{2}=41.5

Change 2: 29 32 38 38 45 50 64 72 100

\bar X = \frac{29+32+38+38+45+50+64+72+100}{9}=52

Mode =38.

Median = 45

Step-by-step explanation:

Original data: 21 29 32 38 38 45 50 64 72 100

The mean is calculated with the following formula:

\bar X = \frac{\sum_{i=1}^{10} X_i}{10}

And if we replace we got:

\bar X = \frac{21+29+32+38+38+45+50+64+72+100}{10}=48.9

The mode is the most repeated value in the sample and on this case is Mode =38.

Since we have an even number of points the median is calculated as the average between the observations 5 and 6 from the dataset ordered.

Median = \frac{38+45}{2}=41.5

Change 1: 2 29 32 38 38 45 50 64 72 100

The mean is calculated with the following formula:

\bar X = \frac{\sum_{i=1}^{10} X_i}{10}

And if we replace we got:

\bar X = \frac{2+29+32+38+38+45+50+64+72+100}{10}=47

The mode is the most repeated value in the sample and on this case is Mode =38.

Since we have an even number of points the median is calculated as the average between the observations 5 and 6 from the dataset ordered.

Median = \frac{38+45}{2}=41.5

Change 2: 29 32 38 38 45 50 64 72 100

Now the sample size is 9 instead of 10

The mean is calculated with the following formula:

\bar X = \frac{\sum_{i=1}^{9} X_i}{9}

And if we replace we got:

\bar X = \frac{29+32+38+38+45+50+64+72+100}{9}=52

The mode is the most repeated value in the sample and on this case is Mode =38.

Since we have odd number of points the median is calculated from the 5 position of the dataset ordered.

Median = 45

7 0
4 years ago
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