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siniylev [52]
2 years ago
8

Help will mark brainliest

Mathematics
1 answer:
yan [13]2 years ago
7 0

9514 1404 393

Answer:

  y = 2/3x -20/3

Step-by-step explanation:

The perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line:

  -1/(-3/2) = 2/3

You can use the point-slope form to write the equation of that perpendicular line.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y +2 = 2/3(x -7) . . . . . the equation of the perpendicular line

__

This can be put into slope-intercept form by solving for y and simplifying.

  y +2 = 2/3x -14/3

  y = 2/3x -20/3

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In 2012, New York had a population of about 19 million people,
alexandr1967 [171]

Answer:

B(if the option is 10^7 instead of  107

Step-by-step explanation:

no. of people in New York=19000000

no. of people in Vermont =626,000

difference in populations = 19000000-626,000 =18374000

therefore, the difference in populations is 18374000

(which can also be written as 1.8374x10^7)

7 0
2 years ago
Can someone plzz help me with these 2 questions. thanks!
Deffense [45]

9514 1404 393

Answer:

  4. height: 5√3 cm; area: 25√3 cm²

  5. 30√2 ft ≈ 42.43 ft

Step-by-step explanation:

4. The height of an equilateral triangle is (√3)/2 times the side length, so is ...

  height = (√3)/2 × (10 cm) = 5√3 cm

The area is given by the formula ...

  A = 1/2bh

  A = 1/2(10 cm)(5√3 cm) = 25√3 cm²

__

5. The diagonal of a square is √2 times the side length, so the distance from 3rd to 1st base is ...

  (30 ft)√2 ≈ 42.43 ft

__

The length of the diagonal of a square is something you should be familiar with. If you're not, you can figure the distance using the Pythagorean theorem.

  d = √(30² +30²) = √1800 ≈ 42.43 . . . feet

6 0
2 years ago
75km/h compute in m/s
Vlad1618 [11]
75 * 1000/3600 = 20.8333333

You just need to multiply with 1000 to get m from km and divide by 3600 because you are converting hours in seconds.
8 0
3 years ago
PLEASE HELP I NEED HELP !!!!!!!! The graph of a line passes through the two points (-2, 1) and (2, 1). What is the equation of t
MrRissso [65]

Answer:

y - 1 = 0

Step-by-step explanation:

We know that Equation of a line is given by,

y - y₁ / x - x₁ = y₂ - y₁ / x₂ - x₁

Let A(-2,1) and B(2,1)

x₁ = -2 ; x₂ = 2 ; y₁ = 1 ; y₂ = 1

Substituting the values,

y - 1 / x - (-2) = 1 - 1 / 2 - (-2)

y - 1 / x + 2 = 0

y - 1 = 0

7 0
2 years ago
Read 2 more answers
Stephanie collected maple syrup from some of her trees. From the first set of trees, she collected 2 gallon of syrup. The second
kiruha [24]

Answer:

Part A - 8

Part B - 7

Step-by-step explanation:

Part A

She collected 8 gallons of syrup in total. Two gallons from first tree, three gallons from second tree and three gallons from third tree.

Part B

She used seven gallon of syrup for cooking.

She is left with one gallon syrup only out of total eight gallon syrup

5 0
3 years ago
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