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Neporo4naja [7]
3 years ago
15

Write the equation that describes each line in slope intercept form

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
7 0

Hello there! :)

Let's use the slope formula:

m=\frac{y2-y1}{x2-x1} \\\frac{0-3}{3-0} \\\frac{-3}{3} \\=-1

So the slope (m) is -1.

Now, let's find the y-intercept. It's where the graph touches the y-axis.

The y-intercept is 3.

So our equation looks like so:

y=-x+3

Hope this helps!

~Just a cheerful gal

#CarryOnLearning

SilentNature :)

skelet666 [1.2K]3 years ago
4 0
When I did this problem to get slope intercept form I got: Y=-1x+3
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Answer:

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Step-by-step explanation:

Look in the comments to figure out why D is correct. You're welcome! :)

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A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a city 38 miles north of the t
andreyandreev [35.5K]

9514 1404 393

Answer:

  63.7% or 33.35 miles

Step-by-step explanation:

The hint suggests that we find the points where the drive begins and ends picking up the transmitter. We suspect both of those points will have irrational coordinates, so finding the distance between them will involve dealing with squares and roots of irrational numbers. We want to see if there's an easier way.

The distance from the transmitter to the path being driven can be found using the "distance to a line" formula. First, we need the equation of the line in general form. In intercept form, it is ...

  y/38 +x/36 = 1

  19x +18y -684 = 0 . . . . . . multiply by LCM(36, 38) and subtract that amount

Then the distance from the origin to the line is ...

  d = |19·0 +18·0 -684|/√(19² +18²) = 685/√685 ≈ 26.1243

The distance (x) along the line from the point where the transmitter is first picked up until the point of closest approach can be found from the Pythagorean theorem:

  x² + (26.1243)² = 31²

  x² = 31² -(684/√685)² = 190429/685

  x ≈  16.6733

The driving distance for which the transmitter is picked up is twice this, so is ...

  2x = 2(16.6733) ≈ 33.3466 . . . miles

The total drive length is also given by the Pythagorean theorem:

  drive length = √(36² +38²) = √2740 ≈ 52.3450 . . . miles

Then the fraction of the drive during which the signal is picked up is ...

  fraction = (33.3466 mi)/(52.3450 mi) ≈ 0.6371 ≈ 63.7%

__

The signal is picked up for 33.35 miles, about 63.7% of the drive.

______

The intercept-form equation for a line is ...

  x/(x-intercept) +y/(y-intercept) = 1

The distance from (x, y) to line ax+by+c=0 is given by ...

  d = |ax+by+c|/√(a²+b²)

The Pythagorean theorem relates legs a, b and hypotenuse c of a right triangle this way:

  c² = a² +b²

4 0
3 years ago
Which expression is equivalent to b * b * b * b *
Ne4ueva [31]

Answer:

b⁴

Explanation:

b×b=b²     b×b=b²

b²×b=b³    b×b×b=b³

b³×b=b⁴    b×b×b×b=b⁴

4 0
3 years ago
I need help with an area math question
Ede4ka [16]

Answer:

Step-by-step explanation:

Area of outer triangle = \dfrac{4x*(4x+3)}{2}= 2x*(4x +3)

                                    = 2x*4x + 2x*3

                                   = 8x² + 6x

Area of inner triangle= \dfrac{2x*(2x+5)}{2}=x*(2x+5)=x*2x+x*5=2x^{2} + 5x

Area of aluminium = area of outer triangle - area of inner triangle

                        = 8x² + 6x + 2x² + 5x

                        = 10x² + 11x

Area of 20 aluminum borders = 20*(10x² + 11x)  = 200x² + 220x

b) x = 25 cm

Area of 20 aluminum borders = 200*25² + 220*25

                                                  = 200 * 625 + 220*25

                                                 = 125000  + 5500

                                                  = 130500 cm²

c) Area of inner triangle (Glass) = 5500 cm²

Cost of aluminium = 130500 * 0.06 = $ 7830

Cost of glass = 5500 * 0.03 = $ 165

Cost of making 20 windows =  7830 + 165 = $ 7995

7 0
3 years ago
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