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2 years ago

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!!

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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

$4+2=6$

5 0

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

4 0

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