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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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To bisect an angle using paper folding, fold the paper through the angle so that the line segments determining the angle lie:
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Read 2 more answers
Will give Brainliest if u r good at math Plz help thank u :)
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A) 5.23, 7.89, 10.22, 34.98, 51.02, 51.22 because the closer a decimal is to 99 the larger it is.

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6 0
3 years ago
The first side of a triangle is 3 inches shorter than the second side, and 2 inches longer than the third side. How long is each
ziro4ka [17]

Answer:

the length of the first side of the triangle is \frac{28}{3}\ in

the length of the second side of the triangle is \frac{37}{3}\ in

the length of the third side of the triangle is \frac{19}{3}\ in

Step-by-step explanation:

Let

x-----> the length of the first side of a triangle

y----> the length of the second side of a triangle

z---> the length of the third side of a triangle

we know that

x=y-3

y=x+3 -----> equation A

x=z+3

z=x-3  -----> equation B

The perimeter of the triangle is equal to

P=x+y+z

P=28\ in

so

28=x+y+z -----> equation C

substitute equation A and equation B in equation C

28=x+(x+3)+(x-3)

solve for x

28=3x

x=\frac{28}{3}\ in

Find the value of each side

the first side of a triangle is x

x=\frac{28}{3}\ in

the second side of a triangle is y

y=\frac{28}{3}+3=\frac{37}{3}\ in

the third side of a triangle is z

z=\frac{28}{3}-3=\frac{19}{3}\ in

7 0
3 years ago
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