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artcher [175]
3 years ago
5

Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of

the given equation.
(-3, 5), 5x - 6y = 9
Mathematics
1 answer:
miss Akunina [59]3 years ago
5 0
So first. You need to convert to y = mx + b form, so to do that, subtract 5x from both sides, and you will have -6y = -5x + 9
Next, you need to divide by -6, and you get y = 5/6x + 1.5
Its good to note that for finding an equation that is perpendicular to that that equation, the slope is the opposite reciprocal. So, for the slope of your new line it is -6/5x.
So slope intercept form is y-y1 = m(x - x1) so to plug that in with the coordinates (-3, 5) you would have y - (-3) = -6/5(x - 5)
Then add the opposite and do the distributive property on the right side of the equation, so its y + 3 = -6/5x + 6
Then you would solve for y so subtract 3 and you end up with:
y = -6/5x + 3
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6 0
3 years ago
How many whole cans can the company make out of each sheet of metal?
klio [65]

Answer:

18

Step-by-step explanation:

Total Surface Area of the Metal Sheet =1000\:in^2

Given a cylinder with diameter 3 Inch and height 4\frac{1}{4} in

To determine how many whole cans can be made, the first step is to find the total surface area of each of the cylindrical can.

Total Surface Area of a cylinder =2\pi r^2+2\pi rh

  • Radius =3÷2=1.5 Inch
  • Height of the can =4\frac{1}{4} in

<u>Total Surface Area of each can </u>

2\pi r^2+2\pi rh=2\pi r(r+h)\\=2*1.5*\pi(1.5+4.25)\\=3\pi *5.75\\=17.25\pi \:in^2

<u>Number of Cans that can be Made </u>

To determine this, we divide the total surface area of the metal sheet by the total surface area of each can.

Number of Cans=Total surface area of the metal sheet÷Total surface area of each can.

=1000 \div 17.25\pi\\=18.45

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6 0
3 years ago
A train travels 190 km in 3.0 hours and then 120 km in 2.0 hours. What is its average speed?
melisa1 [442]
The average speed it 310
3 0
2 years ago
|(2,9)<br> J (79)<br> 00 -<br> H(25)
elena-14-01-66 [18.8K]

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Step-by-step explanation:

8 0
2 years ago
1.7 In the following diagram, angle 7 equals 61°.
gladu [14]
1.7) < 7 and < 8 form a linear pair....which means, when added, they equal 180 degrees. So if < 7 = 61, then < 8 = (180 - 61) = 119 <=

1.8) angles that are supplementary will add up to 180. So if one of the angles is 38, then the other one is (180 - 38) = 142 <==

1.9) < 3 = < 5 (vertical angles are congruent)
1.10) < 2 = < 8 (vertical angles are congruent)
1.11) < 7 = < 1 (vertical angles)
1.12) < 6 = < 4 (vertical angles)
7 0
3 years ago
Read 2 more answers
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