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slavikrds [6]
3 years ago
12

when asked to write a point slope equation for a line passing through the points (-3,5) and (2,4) , a student wrote y-4=9/5(x-2)

. how can he fix this to write the correction equation
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0
The correct equation is y - 5 = -1/5(x - -3)
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Q # 2 Graph TWX and it's image after a rotation of 90° counterclockwise about the origen
const2013 [10]
<span>For a rotation of 90o:  (x, y) ⇒ (–y, x)
T(3,4) ⇒⇒⇒ T'(-4,3)
W(-2,-1) ⇒⇒⇒ W'(1,-2)
x(-3,3) ⇒⇒⇒ x'(-3,-3)

see the attached figure


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6 0
3 years ago
The coordinate plane below represents a city. Points A through F are schools in the city.
Usimov [2.4K]
Part A. The technique on how to find the equation that only applies to point D and E, is to create a line or curve that only includes two of these points. In this case, I created a random parabola that isolates points C and F from the rest of the points. First, we have to find the equation of the parabola through its general forms:

(x - h)² = +/-4a(y-k)      or    (y - k)² = +/-4a(x - h)

For parabolas drawn like that in the picture, the general form is (x - h)² = +4a(y-k), where the vertex is (h,k) and a is the distance from the vertex to the focus. From the picture, the vertex is at (0,3). Then, we use point D(-2,4) to determine a:

(-2 - 0)² = +4a(4 - 3)
4a = 4

So, the equation of the parabola is:

x² = 4(y - 3)
x² = 4y - 12

Part B. Point D was already verified above. Now for point E(2,4)
x² = 4y - 12
2² ? 4(4) - 12
4 ? 4
4 = 4

Part C. For y < 7x − 4, ignore the equality symbol first and graph the line. Assign random values of x, then you get corresponding values of y. Plot them as shown in the second picture. The line is shown in red. Next, test the equation by choosing a random point. Let's choose the purple point at (4,3).

3 ? 7(4) − 4
3 ? 24
3 < 24

Thus, it applies to the purple point, and all the other areas to that area. The shaded region are all solutions of the inequality. So, Erica is only interested in points E, C and F. 

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3 years ago
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6 0
2 years ago
Read 2 more answers
Solve for c: c divided by 3 equals 8
ohaa [14]

Answer:

c=24

Step-by-step explanation:

c/3 = 8

Multiply each side by 3

c/3 *3 = 8*3

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5 0
2 years ago
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Solve for x <br><br> x/9=3<br><br> whats x
fomenos

Answer:

x = 27

Step-by-step explanation:

x/9 = 3

Multiply each side by 9

x/9 * 9 = 3*9

x = 27

5 0
3 years ago
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