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3 years ago

What is an equation of the line that is parallel to y=5x−7 and passes through (1, 11) ?

Mathematics

2 answers:

FinnZ [79.3K]3 years ago

8 0

Answer:

y = 5x+6 is equation of line that is parallel to y = 5x-7 and passing through (1,11).

Step-by-step explanation:

We have given a equation of line and a point.

y = 5x-7 (x,y) = (1,11)

We have to find equation of line that is parallel to given equation of line and passing through given point.

y-y = m(x-x) is point-slope form of equation of line where m is slope of line.

Since, we know that parallel line have equal slope of line.

Given equation has slope equal to 5.

Parallel line also has slope equal to 5.

m = 5

Putting values in point-slope form of equation , we have

y-(11) = 5(x-1)

y-11 = 5x-5

y = 5x-5+11

y = 5x+6 is equation of line that is parallel to y = 5x-7 and passing through (1,11).

Leona [35]3 years ago

7 0

ANSWER

$y = 5x + 6$

EXPLANATION

The given equation is

$y = 5x - 7$

The slope of this line is

$m = 5$

Any line parallel to this line also has the same slope.

If the parallel line passes through (1,11),

then, it's equation is given by:

$y-y_1=m(x-x_1)$

Substitute the slope and point to get,

$y - 11 = 5(x - 1)$

$y = 5x - 5 + 11$

$y = 5 x + 6$

is the required equation.

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3 years ago

During a road trip Tony , Tony drove one third the distance that Lana drove. Mark drives 15 more than Lana drove .The total dist

ale4655 [162]

Answer:

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles

Step-by-step explanation:

Given as :

The total distance cover by Lana , Tony , Mark = 484 miles

Let The distance drove by Lana = L miles

The distance drove by Tony = T

The distance cover by Mark = M

So , L + T + M = 484 miles

Now, The distance of Tony = $\frac{1}{3}$ of Lana distance

Or, T = $\frac{1}{3}$ × L

And The distance of Mark = 15 + The distance of Lana

Or, M = 15 + L

Now.

L + $\frac{1}{3}$ × L + 15 + L = 484

Or, 2 L + $\frac{L}{3}$ = 484 - 15

Or, 2 L + $\frac{L}{3}$ = 469

Or, $\frac{7 L}{3}$ = 469

Or, 7 L = 469 × 3

∴ L = $\frac{1407}{7}$

I.e L = 201

The distance drive by Lana = 201 miles

The distance drive by Mark = 15 + L =15 + 201 = 216 miles

The distance drive by Tony = $\frac{1}{3}$ × 201 = 67 miles

Hence The distance drive by each person is

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles Answer

8 0

3 years ago

5. Mark's brother is five years older than Mark.

AleksAgata [21]

Answer:

Step-by-step explanation:

Let's say Mark is M and his brother is B.

M+5=B

M+B=23

Now we can solve using subsitution.

M+M+5=23

(Subtract 5 from both sides)

2M=18

M=9

Hope this helped!

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3 years ago

the width of a rectangle is x centimetres and its length is (x+ 2) cm. Write down an expression for the perimeter of the rectang

yKpoI14uk [10]

Given:

The width of a rectangle is x centimeters and its length is (x+ 2) cm.

To find:

The expression for the perimeter of the rectangle.

Solution:

We know that, perimeter of a rectangle is

$Perimeter=2(Length+Width)$

We have,

Width = x cm

Length = (x+2) cm

Putting these values in the above formula, we get

$Perimeter=2((x+2)+x)$

$Perimeter=2(2x+2)$

$Perimeter=2(2x)+2(2)$

$Perimeter=4x+4$

Therefore, the required expression for the perimeter of the rectangle is (4x+4) cm.

6 0

3 years ago

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ladessa [460]

Answer:

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Step-by-step explanation:

4 0

3 years ago

Read 2 more answers