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irina [24]
3 years ago
14

Put this equation into slope intercept form 6x+12y=9

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
8 0

y = - \frac{1}{2} x + \frac{3}{4}

The equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 6x + 12y = 9 into this form

subtract 6x from both sides

12y = - 6x + 9 ( divide all terms by 12 )

y = - \frac{6}{12} x + \frac{9}{12} ( which simplifies to )

y = - \frac{1}{2} x + \frac{3}{4}


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AC if TC = 20q + 10q^2?
Alexus [3.1K]

Answer:

AC = (20+ 10q)

Step-by-step explanation:

Given that,

Total cost, TC = 20q + 10q²

We need to find AC i.e. average cost.

It can be solved as follows :

AC=\dfrac{TC}{q}\\\\AC=\dfrac{20q + 10q^2}{q}\\\\AC=\dfrac{q(20+ 10q)}{q}\\\\AC={(20+ 10q)}

So, the value of AC is (20+ 10q).

4 0
3 years ago
In XYZ, what is the cosine ratio of X?
Wittaler [7]

Answer:

c) 12/15 = 4/5

Step-by-step explanation:

imagine we mirror the triangle up, so that Z is on top.

then you can clearly see that 6 is cos(X) times r (and r is then 7.5).

XY is sin(X)×7.5

and again, 7.5 is r (the line making the X angle).

so, the cosine ratio of X is

6 = cos(X)×7.5

cos(X) = 6/7.5 or then 12/15. or simplified 4/5.

4 0
2 years ago
Read 2 more answers
The diagonals of quadrilateral EFGH intersect at D(?3,4). EFGH has vertices at E(3,7) and F(?4,5). What must be the coordinates
Katen [24]

Answer:

  G(3, 1), H(2, 3)

Step-by-step explanation:

When D is the midpoint of EG, it means ...

  D = (E + G)/2

or

  G = 2D -E = 2(3,4) -(3,7) = (2·3-3, 2·4-7) = (3, 1)

Likewise, H is ...

  H = 2D -F = 2(3,4) -(4,5) = (2·3-4, 2·4-5) = (2, 3)

5 0
3 years ago
A 13-ft ladder is leaning against a house. The distance from the bottom of the ladder to the house is 7-ft less than the distanc
Olin [163]

Answer:

12 feet

Step-by-step explanation:

As a  ladder is leaning against a house, it forms right angle triangle. And for right angleΔ, we use Pythagoras theorem.i.e

P²+B²= H²

Where,

'P' is perpendicular i.e the distance  from the top of the ladder to the ground

'B' is base i.e be the distance from the bottom of the ladder to the house

'H' is hypotenuse i.e 13

considering 'x' as perpendicular

So, base would be 'x-7'

Applying Pythagoras theorem,

x² + (x-7)²= 13²

x² +x² -14x +49 =169

2x² -14x -120= 0

x² -7x -60=0 ----> solving the quadratic equation

x² + 5x -12x-60=0

x(x+5) -12(x+5)=0

Either : x+5=0 => x=-5

OR: x-12=0 => x=12

We'll choose the positive length.

therefore , The distance from the bottom of the ladder to the house is 12 feet

6 0
3 years ago
Someone please help me!! I'll give brainliest
MariettaO [177]

Answer:

sorry to answer late but..

Step-by-step explanation:

\frac{1}{75} cm = \frac{scale }{real}

the wings of the real plane are 12 meters or 1200 cm

we want to solve for the scale, sooo do the algebra...get scale by it self..

real * \frac{1}{75} = scale

1200 * \frac{1}{75} = 16

The scale model wings are 16 cm   2.54 cm is one inch so the wings are approx.  6.3 inches

4 0
2 years ago
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