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Gennadij [26K]
3 years ago
12

Write an equation in slope intercept form thag passes through (4,-4) and is parallel to 3+4x=2y-9

Mathematics
2 answers:
uysha [10]3 years ago
7 0

The original line is

4x - 2y = -12

The parallel lines will all be

4x - 2y = constant

and the constant is given by the point directly:

4x - 2y = 4(4) - 2(-4) = 24

2y = 4x - 24

y = 2x - 12

Answer: y = 2x - 12


sashaice [31]3 years ago
4 0

Let's deal with the slope first: we know that our line is parallel to the given line, and two lines are parallel if and only if their slopes are the same.

So, if we find the slope of the given line, we also have the slope of our line.

When a line is written in the form y=mx+q, the slope is the coefficient m.

So, we can rearrange the expression of the given line as follows:

3+4x=2y-9 \iff 4x+12 = 2y \iff y = 2x+6

and so the slope is 2.

Now, when you know the slope m and a point (x_0,y_0) belonging to a line, you can write the equation of the line as

y-y_0 = m(x-x_0)

if you substitute your values, you have

y-(-4) = 2(x-4) \iff y+4 = 2x-8 \iff y = 2x-12

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The product of a rational number multiplied by itself is called as a perfect square.,we can easily find out the square root for a number which is a imperfect square

Step-by-step explanation:

using the following formula we can find a square root for a number which is a imperfect square

X = Non perfect square

√x = (square root of nearest lower perfect square +(x - perfect square)÷2×(√perfect square )

√x = (square root of nearest lower perfect square +(x - perfect square)÷2×(√perfect square )Example

√38

the nearest perfect root is 36

36 (√36=6)

so √38 = √36 + (38-36)/2√36

= 6 + 2/12

=6 + 1/6 = 6.166 (answer)

√38 the nearest perfect root is 36 36 (√36=6)so √38 = √36 + (38-36)/2√36 = 6 + 2/12=6 + 1/6 = 6.166 (answer)

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3 years ago
. 1<br> Find f<br> for the function f.<br> f(x) = 3x² + 3, x &gt; 0<br> And find the domain
konstantin123 [22]

Answer:

y = \sqrt{\frac{x-3}{3} }

Domain = [3, infinity)

Step-by-step explanation:

x = 3y^2 + 3

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2 years ago
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Sonja [21]

Answer:

Yeah with that type of problem

Step-by-step explanation:

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kolbaska11 [484]

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Answer:

  D.  Henry's started farther, went faster

Step-by-step explanation:

Henry's balloon traveled 18 additional miles (from 30 to 48) in 2 hours, so had a speed of 18mi/(2h) = 9 mi/h. The equation for his position could be ...

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Comparing this to Tasha's position function, we see her balloon started 20 miles from town and traveled 8 miles per hour.

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2 years ago
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