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makkiz [27]
3 years ago
14

Write the standard form of the equation of the line through the given point with the given slope. point (-1.0); slope -2/3​

Mathematics
1 answer:
VMariaS [17]3 years ago
6 0

Answer:

Step-by-step explanation:

When given a point and a slope, the best equation to use is the point-slope formula, y - k = m(x - h)

which here becomes:

y - 0 = m(x + 1), or y = (-2/3)(x + 1), or  y = (-2/3)x - 2/3

If you want this in standard form, first clear the fractions by multiplying all terms by 3:  3y = -2x - 2

Now add 2x to both sides, obtaining:  2x + 3y = -2 (in "standard form."

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Can someone please help me with these two questions ​
Anarel [89]

Answer:

  23.  0.4583 seconds

  24.  0.0107 seconds

Step-by-step explanation:

The problem statement tells you how to work it. You need to convert speed from miles per hour to feet (or inches) per second.

 90 mi/h = (90·5280 ft)/(3600 s) = 132 ft/s = (132·12 in)/s = 1584 in/s

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23. The time it takes for the ball to travel 60.5 ft is ...

  time = distance/speed

  time = (60.5 ft)/(132 ft/s) = 0.4583 s

It takes 458.3 milliseconds to reach home plate.

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24. time = distance/speed

  time = (17 in)/(1584 in/s) = 0.0107 s

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4 0
3 years ago
Simplify 7 + (−3).
Damm [24]

Answer: 4

Step-by-step explanation: 7+-3 = 4

5 0
3 years ago
Read 2 more answers
A rectangular flower bed that is 5 ft long and 4 feet wide is surrounded by a square lawn that is
Trava [24]

Answer:

124 ft2

Step-by-step explanation:

The yard is a 12ft square so the length and width would both be 12ft. You multiply the length and width of the yard to get the area of the yard so 12x12=144. You have the length and width of the flower bed so 5x4=20. Once you have the area of both you can subtract the area the flower bed takes up of the lawn. 144-20=124 ft2.

5 0
3 years ago
A+b=95<br> 4a+1.50b=267.5
Papessa [141]

9514 1404 393

Answer:

  • a=50
  • b=45

Step-by-step explanation:

We can subtract the second equation from 4 times the first:

  4(a +b) -(4a +1.5b) = 4(95) -(267.5)

  2.5b = 112.5 . . . . . simplify

  b = 45 . . . . . . . . . . divide by 2.5

  a = 95 -b = 50 . . . find 'a'

The solution is (a, b) = (50, 45).

5 0
2 years ago
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Irina-Kira [14]
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5 0
3 years ago
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