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viktelen [127]
3 years ago
13

Write an equation in point slope form for a line that includes the origin and (9,-3)

Mathematics
1 answer:
aivan3 [116]3 years ago
3 0
So we are given two points that the line crosses, the origin and (9, -3), we can calculate the slope m of the line with these data, dividing the y segment by the x segment:
m = (-3 - 0)/(9 - 0) = -3/9
m = -1/3
then we can use the point slope line equation to find the line equation, lets use the point origin (0,0) to do so:
y - y1 = m(x - x1), where x1, y1 are the coordinates of a point that the line crosses:
y - 0 = (-1/3)(x - 0)
y = <span>(-1/3)x
so this is the equation of the line, slope  -1/3 and y intercept 0</span>
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Pls help! will mark branliest!!! :)
Ket [755]

The area of the house is the amount of space on the house.

  • The length of the addition is x + 20
  • The area of the original house is x^2 + 30x + 200

<h3>The length of the addition</h3>

The area of the addition is given as:

Area = x^2 + 10x - 200

Expand

Area = x^2 + 20x - 10x - 200

Factorize

Area = x(x + 20) - 10(x + 20)

Factor out x + 20

Area = (x -10)(x + 20)

The width of the addition is x - 10.

Hence, the length of the addition is x + 20

<h3>The area of the original house</h3>

The dimension of the original house is

x + 20 by x + 10

So, the area is:

Area =(x + 20)(x + 10)

Expand

Area =x^2 + 20x + 10x + 200

This gives

Area =x^2 + 30x + 200

Hence, the area of the original house is x^2 + 30x + 200

Read more about areas at:

brainly.com/question/24487155

8 0
2 years ago
A small bookstore sold between 5 and 8 books each day for 7 days. Tell whether the graph is continuous or discrete.
Kobotan [32]

Answer:

i think the answer is contionous

4 0
2 years ago
Evaluate 2n + t2 when n =-4 and t = -10
Tamiku [17]

Answer:

92

Step-by-step explanation:

Given

2n + t² ← substitute n = - 4 and t = - 10 into the expression

= 2(- 4) + (- 10)² = - 8 + 100 = 92

8 0
3 years ago
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ANSWER PLSSS!! Brian puts $2000 in the bank. He leaves it there for 2 years. The bank uses an interest rate of 4%. How much mone
irinina [24]

Answer:

the answer is $1920

Step-by-step explanation:

4% of $2000 is $80 so if they take 4% its just $2000 - $80 = $1920

Hope this helped! <3

3 0
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how many days will it take a 14 year old boy to clean up trash for 12.5 hours at a low temperature of 47 degrees and high temper
GuDViN [60]

Answer:

It will take half of a day

Step-by-step explanation:

Since 12.5 is roughly half of the day, no matter what temperature is, it will take you this amount of time. You also need to include the time that you will use to take breaks and eat meals.

6 0
3 years ago
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