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Doss [256]
3 years ago
15

Complete the point-slope equation of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5

,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis. Use exact numbers. y-(-1)=y−(−1)=y, minus, left parenthesis, minus, 1, right parenthesis, equals
Mathematics
1 answer:
goldenfox [79]3 years ago
6 0

Answer:

<h3>y+1 = 3/4(x-1)</h3>

Step-by-step explanation:

Given the coordinates of a line, (1, -1) and (5, 2), we are to find the equation of the line in point-slope form.

The point slope form of the equation is generally expressed as;

y -y0 = m(x-x0)

m is the slope

(x0, y0) is the point

Get the slope first;

m = y2-y1/x2-x1

m = 2-(-1)/5-1

m = 3/4

Substitute any of the point sat=y (1, -1) and m = 3/4 into the point slope form of the equation

y - (-1) = 3/4 (x-1)

y+1 = 3/4(x-1)

Hence the required equation is y+1 = 3/4(x-1)

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The transformation T = [0 1 -1 0] is applied the figure below.
Margaret [11]

Answer:

<h2>a.) reflect across x-axis</h2>

Step-by-step explanation:

The transformation described is about multiplying the vertical value by -1:

(x,y) \implies (x,-y)

That means all vertical coordinates will change to the opposite side, but all horizontal coordinates will maintain at the same coordinate.

As a result, we'll have a reflection across the x-axis, because the y coordinates were transformed.

Therefore, the right answer is A.

4 0
3 years ago
A cylindrical water tank has a diameter of 9 feet and a height of 16 feet. Each can of paint covers 50 square feet. What is the
iVinArrow [24]

Answer:

12 cans

Step-by-step explanation:

The area of the outside of the tank:

radio = half diameter = 4.5 ft.

base: A_{b} =\pi r^{2} =\pi (4.5)^{2} =20.25\pi

Top: = base =20.25\pi

cylinder: 2\pi rh=2\pi (4.5)(16)=144\pi

Total area to paint: 144\pi +2(20.25\pi) =184.5\pi =579.6sq.ft.

Number of cans of paint:

c=\frac{579.6}{50} =11.59=12

Hope this helps

7 0
2 years ago
A service attendant is paid time and a 1/2 for working over 40 hours per week last week. The attendant work 47 hours and earned
devlian [24]
Write and solve an equation:

Total earnings = $782.75 = s(40 hrs) + 1.5*s*(7 hrs)

Then 782.75 = 40s + 10.5s = 50.5s

Dividing both sides by 50.5:  s = 15.5.  The attendant's regular hourly wage was $15.50.
5 0
3 years ago
Find the equation of the line that passes through (-1,3) and is perpendicular to 2y=x−1. Leave your answer in the form y=mx +c A
Lostsunrise [7]

Answer:

y = -2x + 1.

Step-by-step explanation:

2y = x - 1

y = 1/2y - 1/2

If line X is perpendicular to line Y (the line where y = 1/2y - 1/2), the slope will be the negative reciprocal of line Y. That means that there will be a negative sign instead of positive, and the 1/2 will be flipped to become 2/1, which is 2.

So, the slope will be -2.

We now have y = -2x + c.

To find c, simply put in -1 for x and 3 for y.

3 = -2 * -1 + c

c + 2 * 1 = 3

c + 2 = 3

c = 1

So, the equation of the line is y = -2x + 1.

Hope this helps!

8 0
3 years ago
Read 2 more answers
Someone please explain
Free_Kalibri [48]

Answer:

D) 6

Step-by-step explanation:

set Q has 16 values which are all even values from 4 to 36

set Z has 11 values that are multiples of 3 from 4 to 36 (6,9,12,15,etc.) however, we have to eliminate the odd ones, leaving the following six:

6, 12, 18, 24, 30, 36

5 0
2 years ago
Read 2 more answers
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