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Vinvika [58]
3 years ago
11

Which equation represents the line that passes through the points (4, 6) and (-2, -1)?

Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0

Answer:

y = 7/6x + 4/3

Step-by-step explanation:

find slope first

change in y over the change in x

-1-6/-2-4 = -7/-6 = 7/6

to be extra sure use this formula to find the y-intercept or b

y - 6 = 7/6 (x -4)

you can plug in either point

solve for y and you have the equation in slope intercept form or y=mx+b

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I just need the top question. Thank you to whoever answers this in advance
wolverine [178]

Answer:

A. 12

B. 18

C. 10

Step-by-step explanation:

A. 2/3 of 36 is 12

B. 2/4 of 36 is 18

C. 5/8 of 16 is 10

8 0
3 years ago
313 people were surveyed in total. 183 of the people surveyed are from East Harlem and 130 people are from the Upper East Side.
borishaifa [10]

1. The percentage of people surveyed in East Harlem is 58.5%

2. The percentage of people surveyed in Upper East Side is 41.5%

From the question given above, the following data were obtained:

  • People surveyed in East Harlem = 183
  • People surveyed in Upper East Side = 130
  • Total people surveyed = 313

1. Determination of the percentage of people surveyed in East Harlem.

  • People surveyed in East Harlem = 183
  • Total people surveyed = 313
  • Percentage of East Harlem =?

Percentage of East Harlem = (people surveyed in East Harlem / Total) × 100

Percentage of East Harlem = (183/313) × 100

Percentage of East Harlem = 58.5%

2. Determination of the percentage of people surveyed in Upper East Side.

  • Percentage of East Harlem = 58.5%
  • Total percentage = 100%
  • Percentage of Upper East Side =?

Percentage of Upper East Side = (Total percentage) – (Percentage of East Harlem)

Percentage of Upper East Side = 100 – 58.5

Percentage of Upper East Side = 41.5%

Learn more about percentage:

brainly.com/question/14899205

7 0
2 years ago
Which term completes the product so that it is the difference of squares?
FromTheMoon [43]

Answer:

the answer is  3

Step-by-step explanation:

(-5x-3)(-5x+3)=(5x)^2 - (3)^2

A difference of squares is the difference of two squared terms.

We have

a^2 - b^2

We can factorize the difference of squared terms like this:

a^2-b^2 = (a+b)(a-b)

We have (-5x-3)(-5x+3)

Lets prove it:

(-5x-3)(-5x+3) = (-5x*-5x)+(-5x*3)+(-3*-5x)+(-3*3)

(-5x-3)(-5x+3) = 25x^2+(-15x)+(15x)+(-9)

(-5x-3)(-5x+3) = 25x^2-15x+15x-9

(-5x-3)(-5x+3) = 25x^2-9

(-5x-3)(-5x+3) = (5x)^2 - (3)^2

6 0
4 years ago
Read 2 more answers
DUPLICATE. WITH ATTACHMENTS
Inessa05 [86]
7.) Area of a square pyramid is given by A = s^2 + 2sl; where s is the side length of the base and l is the slant height.
Area of given pyramid = 4^2 + (2 x 4 x 7) = 16 + 56 = 72 ft^2

8.) Area of the given pyramid is the area of the hexagonal base plus the area of the six slant triangles.
Area of hexagonal base = (3sqrt(3))/2 x 10^2 = 150 x 1.732 = 259.8
Area of the 6 traingles = 6(1/2 x 10 x 13) = 6 x 65 = 390
Total surface area of the pyramid = 259.8 + 390 = 649.8 ≈ 650 m^2

9.) Using pythagoras rule, the slant height is sqrt(6^2 + 3.5^2) = sqrt(36 + 12.25) = sqrt(48.25) = 6.9 mm

10.) The surface area of a cone is given by πr^2 + πrl
Area = π x 6^2 + π x 6 x 20 = 36π + 120π = 490.1 cm^2

11.) l = sqrt(r^2 + h^2) = sqrt(11^2 + 16^2) = sqrt(121 + 256) = sqrt(377) = 19m
6 0
3 years ago
Solve for x. Enter your answer in interval notation using grouping symbols <br> X^2 + 5x &lt; 24
icang [17]
I think the correct answer would be : (-8,3)
I hope this helps !
7 0
3 years ago
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