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3 years ago

Find the equation of the line passing through the points (7,20) and (-2,11)

Mathematics

2 answers:

Citrus2011 [14]3 years ago

5 0

Answer:

Step-by-step explanation:

Given points ( 7 , 20) and ( -2 ,11)

First calculating slope

Slope (m)

= ( y2 - y1)/ (x2 - x1)

= ( 20 - 11) / ( 7 + 2)

= 9/9

= 1

Now the equation of line is given by

y - y1 = m( x - x1)

y - 11 = 1( x + 2)

y - 11 = x + 2

x - y = - 11 - 2

x - y = - 13

x - y + 13 = 0

Hope it will help :)

Bad White [126]3 years ago

3 0

Answer:

Step-by-step explanation:

y-20=(11-20)/(-2-7)(x-7)

y-20=-9/-9 (x-7)

y-20=x-7

y=x-7+20

or y=x+13

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e-lub [12.9K]

If I understood the task, then here are the answers: 1/2=2/4 or 0.5=1/2

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3 years ago

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The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: I = -425x^2 + 45,5

lord [1]

We are given

The average income, I, in dollars is

$I=-425x^2+45500x-650000$

(a)

now, we are given

average income is $275000

so, $I=275000$

now, we can set them equal

and then we can solve for x

$275000=-425x^2+45500x-650000$

$-425x^2+45500x-925000=0$

we will have to use quadratic formula

$x=\frac{-45500+\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{-\sqrt{45500^2-1572500000}+45500}{850}$

$x=\frac{-45500-\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{\sqrt{45500^2-1572500000}+45500}{850}$

we get

$x=27.28199$

$x=79.776$

we need to find youngest age

It means that we need to choose smallest value

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$x=27$ ............Answer

(b)

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x=40

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6 0

3 years ago

HELPPPP THIS IS 7TH GRADE MATH AND IM CONFUSEDDDD

irga5000 [103]

Answer:

n-p for the first, p-n for the second

Step-by-step explanation:

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2 years ago

In a basketball game, Team A defeated Team B with a score of 97 to 63. Team A won by scoring a combination of two-point baskets,

-BARSIC- [3]

Answer:

14 free throw baskets , 25 two point baskets and 11 three point baskets

Step-by-step explanation:

Let n₁ represent the number of free-throw baskets, n₂ represent the number of two point baskets and n₃ represent the number of three point baskets.

Now, from the question, the number of two point baskets, n₂ is greater than the free throw baskets by 11. This is written as n₂ = n₁ + 11. Also, the number of three point baskets n₃ is three less than the number of free point baskets. This is written as n₃ = n₂ - 3. Since our total number of points equals 97, it follows that, sum of number of points multiplied by each point equals 97. So, ∑(number of points × each point) = 97. Thus,

n₁ + 2n₂ + 3n₃ = 97. Substituting n₂ and n₃ from above, we have n₁ +2(n₁ + 11) + 3(n₁ - 3) = 97.

Expanding the brackets, we have, n₁ + 2n₁ + 22 + 3n₁ - 9 = 97

collecting like terms, we have 6n₁ + 13 = 97

6n₁ = 97 - 13

6n₁ = 84

dividing through by n₁ we have, n₁ = 84/6 =14

so n₁ our free throw baskets equals 14. Substituting this into n₂ our number of two point baskets equals n₂ = n₁ + 11 = 14 + 11 = 25. Our number of three point baskets n₃ = n₁ - 3. So, n₃ = 14 -3 = 11.

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3 years ago

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harkovskaia [24]

Answer:

Step-by-step explanation:

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