Mathematics, 25.01.2021 14:00, ramenbowlz

Consider the line y=7x-5. Find the equation of the line that is perpendicular to this line and passes through the point (-3, – 3).
Find the equation of the line that is parallel to this line and passes through the point (-3, – 3).
Equation of perpendicular line: 0
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Equation of parallel line:

Consider the line y=7x-5.

Find the equation of the line that is perpendicular to this line and pa

Answers: 2

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Answers

answered: plexusgirl84

a)The equation of the Parallel line to the given line is

7x -y +18 =0

b) The equation of the Perpendicular line to the given line is

-x +7y +18 =0

Step-by-step explanation:

Step(i):-

Given that equation of the line y = 7x -5

7x -y -5=0

The equation of the Parallel line to the given line is

7x -y +k=0

This line is passes through the point ( -3,-3)

7 ( -3) -(-3)+k=0

-21 +3+k=0

-18 +k=0

k =18

The equation of the Parallel line to the given line is

7x -y +18 =0

Step(ii):-

Given that equation of the line y = 7x -5

7x -y -5=0

The equation of the perpendicular line

b x -ay +k=0

The equation of the Perpendicular line to the given line is

-x +7y +k=0

This line is passes through the point ( -3,-3)

-(-3)+7(-3) +k=0

3 - 21 +k=0

-18 +k=0

k =18

The equation of the Perpendicular line to the given line is

-x +7y +18 =0

answered: Guest

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

answered: Guest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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Consider the line y=7x-5. Find the equation of the line that is perpendicular to this line and pass...