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Scilla [17]
3 years ago
6

Simplify 3(x - 6) - 4(x + 3)

Mathematics
1 answer:
kodGreya [7K]3 years ago
7 0

Answer:

x - 30

Step-by-step explanation:

3(x - 6) - 4(x + 3)

3x - 18 - 4x - 12

x - 30

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ZanzabumX [31]

Answer: The answer should be 3.

Step-by-step explanation: You plug in 2 instead of X and that’s it. Then you calculate your equation, and receive your answer.

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8x-6y=54 in slope intercept form please!!
NikAS [45]

Answer: y= 4/3x-9

Step-by-step explanation:

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Given a circle with an area of 25 pi in^2 <br> What is the exact circumference?
Taya2010 [7]

Answer:

31.4

Step-by-step explanation:

C = 2πr OR C = πd

But, we need to find r first.

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3 years ago
Select the correct answer from each drop-down menu. A parabola is given by the equation y = x2 − 2x − 3. The directrix of the pa
choli [55]

Answer:

Part 1) The directrix of the parabola is y=-4.25

Part 2) The focus of the parabola is F(1,-3.75)

Step-by-step explanation:

we have

y=x^{2}-2x-3

This is a vertical parabola open upward

we know that

If a parabola has a vertical axis, the standard form of the equation of the parabola is

(x - h)^{2}=4p(y - k)

where

p≠ 0

The vertex of this parabola is at (h, k).

The focus is at (h, k + p).

The directrix is the line y = k - p.

The axis is the line x = h.

step 1

Convert the equation of the parabola in standard form

y=x^{2}-2x-3

y+3=x^{2}-2x

y+3+1=x^{2}-2x+1

y+4=x^{2}-2x+1

y+4=(x-1)^{2}

so

(x-1)^{2}=(y+4) ----> equation in standard form

The vertex is the point (1,-4)

4p=1 ------> p=1/4

step 2

Find the directrix of the parabola

The directrix is the line y = k - p

we have

k=-4

p=1/4

substitute the values

y = k - p

y=-4-(1/4)=-17/4

y=-4.25

step 3

Find the focus of the parabola

we know that

The focus is at (h, k + p).

we have

h=1

k=-4

p=1/4

substitute

F(1,-4+1/4)

F(1,-3.75)

4 0
3 years ago
Base =____ Inches ^2
Inga [223]

Answer:

For only the rectangle (that I've coloured in with red) I assume it would be 9 inches squared. However, when adding on the triangles on the side, it would be 9+3+3 = 15

Step-by-step explanation:

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