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Evgen [1.6K]
3 years ago
6

Through (2, -1), perp. to y = -2x-3

Mathematics
1 answer:
kramer3 years ago
6 0

9514 1404 393

Answer:

  y = 1/2x -2

Step-by-step explanation:

The given equation is in slope-intercept form, so you recognize its slope is -2. The perpendicular line will have a slope that is the opposite reciprocal of that, so is -1/-2 = 1/2.

The y-intercept can be found from ...

  b = y -mx . . . . . for line of slope m through point (x, y)

  b = -1 -(1/2)(2) = -1 -1 = -2

Then the slope-intercept equation of the perpendicular line is ...

  y = 1/2x -2

You might be interested in
A tent in the shape of a triangle prism is made using the following piece of fabric.
ser-zykov [4K]

Answer:

85.84 ft²

Step-by-step explanation:

The surface area of the fabric would be the total net area of the shape of the tent covered.

Thus, surface area = area of the 3 rectangular faces + area of the 2 triangular faces

From the diagram given, the 3 rectangular faces have the same dimensions as follows:

L = 6ft

W = 4ft

Area of the 3 rectangular faces = 3(6*4) = 3(24) = 72ft²

The 2 triangular faces have the same dimensions as follows:

B = 4f

H = 3.46ft

Area of the 2 triangular faces = 2(½*B*H)

= 2(½*4*3.46)

= 2(2*3.46)

= 2(6.92)

= 13.84 ft²

Surface area of fabric used to cover the triangular tent = 72ft² + 13.84ft² = 85.84 ft²

3 0
3 years ago
Help me please ill give brainliest give the CORRECT answer please
Neporo4naja [7]

Answer:

  174 ft²

Step-by-step explanation:

Assuming you're interested in the area of the figure, you can compute it as the sum of the areas of the triangle and rectangle.

The unknown side of the triangle can be figured from the overall dimension of the rectangle and the two lengths that are not part of the triangle base:

  6 ft + triangle base + 6 ft = 18 ft

  triangle base = 18 ft - 12 ft = 6 ft

Then the area of the triangle is ...

  A = 1/2bh = 1/2(6 ft)(4 ft) = 12 ft²

__

Of course, the area of the rectangle is the product of its length and width:

  A = LW = (18 ft)(9 ft) = 162 ft²

__

The total area of the figure is the sum of these:

  area = triangle area + rectangle area

  area = 12 ft² +162 ft²

  area = 174 ft²

3 0
3 years ago
Sandy bought a rectangular recycling bin for her office. the recycling bin has the length of 7 centimeters, a width of 10 centim
xenn [34]
The answer is 840 cm^3
7 \times 10 \times 12 = 840

good luck
6 0
3 years ago
A cylinder rod formed from silicon is 46.0 cm long and has a mass of 3.00 kg. The density of silicon is 2.33 g/cm^3. What is the
Citrus2011 [14]
Answer:

I make it 6 cm diameter (well....5.97 cm really, but it depends how many places you take π to!).

Explanation:

You have been given density (d) and mass (m), so first you can determine volume (v).

<span>d=<span>m/v</span></span> therefore <span>v=<span>m/d</span></span> = <span>3000/2.33</span> = 1287.55 <span>c<span>m^3</span></span>

Now you have the volume and the length (L) from which you can work out the cross sectional area, <span>π.<span>r2</span></span>, and from that the diameter.
Volume v =<span>π.<span>r2</span>.L</span> therefore r = <span>√<span>v/<span>π.L</span></span></span> and diameter D = 2r = <span>√(<span>v<span>π.L)</span></span></span>x 2.

So plugging in the numbers gives: D = <span>√(<span>1287.55/<span>3.142X46)</span></span></span> X2 = 5.97 cm.

8 0
3 years ago
Read 2 more answers
I will give BRAINILEST
Llana [10]

Answer:50%

Step-by-step explanation: there is no real answer to your question because 50%is not there

8 0
2 years ago
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