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Step2247 [10]
3 years ago
13

Write an equation (a) in slope intercept form and (b) in standard form for the line passing through (2,7) and perpendicular to 3

x + 5y = 1
Mathematics
1 answer:
romanna [79]3 years ago
4 0

Answer:

Step-by-step explanation:

Solve 3x + 5y = 1 for y to obtain the slope of the given line:

5y = -3x + 1, or y = (-3/5)x + 1.

Any line perpendicular to this one has the slope which is the negative reciprocal of (-3/5):  That would be 5/3.

The desired line has slope 5/3 and passes through (2, 7);

Adapt y = mx + b by substituting the known values, to find b:

7 = (5/3)(2) + b.  The LCD is 3, so multiply each term by 3 to eliminate the fractional coefficient:

21 = 10 + 3b, or 11 = 3b.  Then b = 11/3, and the desired equation in slope intercept form is

y = (5/3)x + 11/3

To obtain the standard form, multiply all three terms by 3 again:

3y = 5x + 11, or

5x + 11 - 3y = 0, or

5x - 3y + 11 = 0

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Answer:

no solutions

Step-by-step explanation:

-2(11-12x)=-4(1-6x)

Distribute

-22 +24x = -4 +24x

Subtract 24x from each side

-22 +24x-24x = -4 +24x-24x

-22 = -4

This is never true, so there are no solutions

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Which point is located in Quadrant III ?
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2 years ago
Which set of data contains one outlier?
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A company sells tents in two styles, shown below. The sides and floor of each tent are made of nylon. Which tent requires less n
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Answer:  Tunnel tent.

Step-by-step explanation:

The tent which has the minimum area requires less nylon to manufacture,

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= 3 \times ( 8^2 ) + 2\times \frac{64\sqrt{ 3} }{4}

=  192+ 2\times \frac{64\sqrt{ 3} }{4}

= 192+ 32\sqrt{ 3}

= 247.425625842\approx 247.43\text { square ft}

Now, the area of tunnel tent = Area of square having side 8 ft + total Area of half cylinder having radius 4 ft and height 8 ft

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