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padilas [110]
2 years ago
11

POSSIBLE POINTS: 15

Mathematics
1 answer:
almond37 [142]2 years ago
7 0
There’s 355 milliliters of soda in one can
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Line l1 passes through (-2, 5), and (-1, -10)
zalisa [80]

The equations of the lines l1 with points (-2, 5), and (-1, -10) and the line l2 with points (5, 15), and (3, 8), gives the coordinate of the intersection between the lines as the point; (-45/37, -250/37)

<h3>Which method can be used to describe the lines to find the intersection point?</h3>

The slope, m1, of line 1 l1 is found as follows;

  • m1 = (5 - (-10))/(-2- (-1)) = -15

The equation of line l1 in point and slope form is therefore;

y1 - 5 = -15•(x - (-2))

Which gives;

y1 = -15•(x - (-2)) + 5 = -15•x - 25

  • y1 = -15•x - 25

The slope, m2, of line 2 l2 is found as follows;

m2 = (15 - 8)/(5 - 3) = 3.5

Equation of line l2 is therefore;

y2 - 15 = 3.5•(x - 5)

Which gives;

y2 = 3.5•(x - 5) + 15 = 3.5•x - 2.5

  • y2 = 3.5•x - 2.5

At the intersection point, we have;

y1 = y2

Therefore;

-15•x - 25 = 3.5•x - 2.5

18.5•x = -22.5

x = -22.5/18.5 = -45/37

y2 = 3.5•x - 2.5

At the intersection point, we have;

y = y2 = 3.5×(-22.5/18.5) - 2.5 = -250/37

y = -250/37

The coordinates of the intersection between the lines is therefore;

  • (-45/37, -250/37)

Learn more about the equation of a straight line here:

brainly.com/question/13763238

#SPJ1

3 0
1 year ago
Which is the equation of the line with a slope of 9 that goes through the point (1,10.6)?
Lilit [14]

Answer: y - 10.6 = 9(x-1)

Step-by-step explanation:

6 0
3 years ago
Sita and Ram divided Rs. 250 into 2:3 ratio. Find their shares.​
miskamm [114]

Answer:

Rs. 100 and Rs. 150

Step-by-step explanation:

the ratio = 2:3 => the sum = 2+3=5

Sita gets = 2/5 × 250 = 100

Ram gets = 3/5 × 250 = 150

7 0
3 years ago
You want to carpet your new living room. The area of your living room is 121 square feet. If your living room is perfectly squar
BlackZzzverrR [31]

Answer:

We know area of a square = side× side

Let the length of each side of the square be s

s×s= 121 sq ft

s²= 121 sq.ft

s=√121

s= 11 ft

11 ft long and wide

7 0
3 years ago
Louise gave her pet hamster 8.3 ounces of water one week and another 7.75 ounces the next week.
stiv31 [10]
Simply add

8.3 ounces + 7.75 ounces = 16.05 ounces was the total amount of water.
4 0
3 years ago
Read 2 more answers
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