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Marrrta [24]
3 years ago
6

Write the equation of a line with a slope of 5/2 and passes through the point (2,3)

Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0

Answer:

         y - 3 = ⁵/₂(x - 2)     {the point-slope form of the equation}

         y = ⁵/₂x - 2            {the slope-intercept form of the equation}

         5x - 2y = 4           {the standard form of the equation}

Step-by-step explanation:

The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.

m = ⁵/₂

(2, 3)    ⇒   x₀ = 2,  y₀ = 3

So, the point-slope form of the equation:

y - 3 = ⁵/₂(x - 2)

Therefore:

y - 3 =  ⁵/₂x - 5         {add 3 to both sides}

y = ⁵/₂x - 2              ←  the slope-intercept form of the equation

-⁵/₂x + y = - 2           {multiply both sides by (-2)}

5x - 2y = 4              ←  the standard form of the equation

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According to data from the U.S. Bureau of the Census, the approximate population y (in millions) of Los Angeles between 1950 and
dmitriy555 [2]

Answer:

The year in which the population of Los Angeles reached 2.6 million is 1965.

Step-by-step explanation:

We are given the approximate population y (in millions) of Los Angeles between 1950 and  2000 is given by:

y = 0.0000113x^3-0.000922x^2 +0.0538x + 1.97

y = Population(in millions)

We are supposed to find the year in which the population of Los Angeles reached 2.6 million.

Substitute y = 2.6

2.6 = 0.0000113x^3-0.000922x^2 +0.0538x + 1.97\\2.6-1.97=0.0000113x^3-0.000922x^2 +0.0538x\\0.63=0.0000113x^3-0.000922x^2 +0.0538x

The real solution is x=14.77≈15

We are given that 0 corresponds to 1950.

So, 15 corresponds to 1965

Hence the year in which the population of Los Angeles reached 2.6 million is 1965.

7 0
3 years ago
What is the solution set of x2 + y2 = 26 and x − y = 6
jok3333 [9.3K]
The solution set is (9.5, 3.5). Explanation: 9.5(2)+3.5(2) is the same as 19+7 which equals 26. These same numbers are used for x-y=6, which is 9.5-3.5=6.
8 0
4 years ago
A rectangular lot is 85 yards wide and 125 yards long. Give the length and width of another rectangular lot that has the same pe
BlackZzzverrR [31]
Perimeter = 2 * 85 + 2 * 125 = 420

85 * 125 = 10,625 area

70 by 140 = 420 perimeter

70 * 140 = 9,800 area

7 0
4 years ago
A box contains cards number 1-10. A card is drawn at random, then replaced, and a second card is drawn. What is the probability
aliina [53]
You would solve this by determining how many numbers from 1-10 can be multiples of 5.  That's obviously 5 and 10.  So that's 2/10 or reduced to 1/5.  Now the second question you have to find how many numbers from 1-10 are prime.  Prime is a number that can only be divided by 1 and itself.  So that would leave you with 1, 3, 5, 7.  I think where the trick comes into play is if you drew a 5 or 10 the first time, then you didn't place those cards back in the box, you couldn't draw them again.  So the answer would 4/10 or 2/5 if you could draw the 5 again.  Or I supposed if you had drew the 10 the first time and not the 5.  I assume however, they want you to exclude 5 and 10 because it was part of the first section of this equation.  So that would mean only 1, 3, and 7 or 3/10.
5 0
3 years ago
What are the values for x and y?
Reil [10]
By similar triangles:-

2 / x = x / 4

x^2 = 8

x = sqrt 8 = 2.83

y^2 = 4^2 + x^2
      =  16 + 8

y =  sqrt24 =  4.90




5 0
3 years ago
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