All categories

2 years ago

Find the coordinates of the point of intersection of the graphs of lines: y=1−2x and y=x−5

Mathematics

1 answer:

koban [17]2 years ago

5 0

To find the point of intersection, you have to set them equal to each other.

$1 - 2x = x - 5\\\\-2x - x = -5 - 1\\\\-3x = -6\\\\x = 2$

To find the y-value, plug in 2 into one of the equations:

y = 2 - 5

y = -3

Point of intersection: (2, -3)

You might be interested in

Can you guys help me solve this equation with step-by-step help, please...

Alex

Step-by-step explanation:

-2x - 5y = 16___(1)

2x - 3y = -16___(2)

(1) + (2) ==> -2x -5y = 16

(+) 2x -3y = -16

-8y = 0

y = 0/-8

y = 0

y=0 in (1)

(1)---> -2x-5y =16

-2x - 5(0) = 16

-2x - 0 = 16

-2x = 16

x = 16/-2

x = -8

x = -8 , y = 0

-5x + 2y = 11__(1) ; -3x + 4y = -13___(2)

multiply eqn(1) with 2

2 × (1) : -10x + 4y = 22___(3)

(3) - (2) :. -10x + 4y = 22

(-) -3x + 4y = -13

-7x = 35

x = 35/-7

x = -5

x=-5 in (1)

(1) : -5x + 2y = 11

-5(-5) + 2y = 11

25 + 2y = 11

2y = 11 - 25

2y = -14

y = -14/2

y = -7

x = -5 , y = -7

4 0

1 year ago

Please solve and explain how you got your answer. (Thank you, MARKING BRAINIEST!!)

denpristay [2]

Answer:

The total square kilometers is 299.

Step-by-step explanation:

Area equals length times width.

3 0

3 years ago

Read 2 more answers

Laura has 10 1/2 yards of ribbon to make 7 bows.how much ribbon will she need to each bow

Ainat [17]

10.5/7 is all you would need to do to find your answer of 1.5 yards of ribbon per bow.

7 0

2 years ago

Read 2 more answers

What is hexagon pentagon and octagon with their discovery

Amiraneli [1.4K]

Answer:

pentagon is a 5 sided polygon with interior angles that add to 540 degrees. Regular pentagons have sides of equal length and interior angles of 108 degrees. The US Department of Defense headquarters is named 'the Pentagon' . ... A hexagon is a 6 sided polygon with interior angles that add to 720 degrees.

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Allison is rolling her hula hoop on the playground. The radius of her hula hoop is 35 cm. What is the distance the hula hoop rol

lidiya [134]

Answer:

Distance covered by hula hoop rolls in 4 full rotations is 880 cm .

Step-by-step explanation:

Formula

$Perimeter\ of\ a\ circle = 2\pi r$

Where r is the radius of the circle.

As given

Allison is rolling her hula hoop on the playground.

The radius of her hula hoop is 35 cm.

r = 35 cm

$\pi = \frac{22}{7}$

Putting the value in the formula

$Perimeter\ of\ a\ hula hoop = 2\times \frac{22}{7} \times 35$

= 220 cm

As given

The hula hoop rolls in 4 full rotations.

Distance covered by hula hoop rolls in 4 full rotations = 220 × 4

= 880 cm

Therefore the Distance covered by hula hoop rolls in 4 full rotations is 880 cm .

6 0

3 years ago