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Alja [10]
2 years ago
6

A line passes through the point (-4,9) and has a slope of -3/2. Write an equation in slope intercept form for this line

Mathematics
1 answer:
Yuri [45]2 years ago
7 0

Answer:

y = -3/2x + 3

Step-by-step explanation:

slope-intercept form: y - y₁ = m (x - x₁)

y - 9 = -3/2 ( x + 4)

y = -3/2 x - 6 + 9

y = -3/2x + 3

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

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The sum of the squares of two consecutive positive even integers is 52.Find the integers
ankoles [38]

Answer:

The two consecutive positive integers are 4 and 6.

Step-by-step explanation:

Let x be an even integer, then the next even integer is (x+2).


The sum of the squares of these even integers is 52.


We can write the following equation and solve for x.


x^2+(x+2)^2=52.

We expand to get,

x^2+x^2+4x+4=52.

We simplify to get,

2x^2+4x+4-52=0.


This gives us,

2x^2+4x-48=0


We divide through by 2 to get,

x^2+2x-24=0.

This is now a quadratic trinomial

We split the middle term to get,


x^2+6x-4x-24=0.


We factor to obtain,

x(x+6)-4(x+6)=0


\Rightarrow (x+6)(x-4)=0


\Rightarrow (x+6)=0 or (x-4)=0


\Rightarrow x=-6 or x=4


We discard x=-6 since it is not a positive integer.

\therefore x=4


Hence the two consecutive positive even integers are,

4

and

4+2=6








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3 years ago
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Tyler’s brother works in a shoe store. The store was selling a pair of shoes for $80. They now are on sale for $50. What is the
Sedbober [7]

Answer:

0.3%

Step-by-step explanation:

80-50=30

30÷100

=0.3%

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3 years ago
Yoo wassup who here cuz they dont pa
klemol [59]

Answer:

i also dont pa

Step-by-step explanation:

                                    .

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2 years ago
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409,821,735,673 value of the digit 4 in this number.
gulaghasi [49]
409,821,735,673.....the value of the 4 in this number is 400 billion
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3 years ago
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Need help on this guys, help pls.
marusya05 [52]

Answer:

1,740 261

20+3

Final answer 23

Step-by-step explanation:

Sorry If I am wrong.

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3 years ago
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