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yaroslaw [1]
3 years ago
11

What is 3/x+6=x/9 ? add

Mathematics
1 answer:
Mkey [24]3 years ago
4 0

Let's solve your equation step-by-step.

3x+6=x9

Step 1: Cross-multiply.

3x+6=x9

(3)*(9)=x*(x+6)

27=x2+6x

Step 2: Subtract x^2+6x from both sides.

27−(x2+6x)=x2+6x−(x2+6x)

−x2−6x+27=0

Step 3: Factor left side of equation.

(−x+3)(x+9)=0

Step 4: Set factors equal to 0.

−x+3=0 or x+9=0

x=3 or x=−9

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Answer is 55mph.....
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Find the perimeter of triangle ABC, with coordinates A(-3, 0), B(0, 4), and C(3, 0).
madreJ [45]
The perimeter is the sum of the lengths of all sides.
Find the lengths of the sides using the distance formula:
d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ \\
A=(-3,0), B=(0,4), C=(3,0) \\ \\
|AB|=\sqrt{(0-(-3))^2+(4-0)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5 \\ \\
|AC|=\sqrt{(3-(-3))^2+(0-0)^2}=\sqrt{6^2+0^2}=\sqrt{6^2}=6 \\ \\
|BC|=\sqrt{(3-0)^2+(0-4)^2}=\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5 \\ \\
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4 years ago
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Water is launched straight up out of a fountain so that the water droplets return to the ground after about 6 s. What is the ini
Reptile [31]

Answer:

The initial velocity is 314.88 ft/s

The maximum height reached is 144 meter.

Step-by-step explanation:

The total time period is 6 seconds for the raindrop.

Using the equation of motion by differentiating h(t) to give v(t),

<em>v(t) = -32(t) + 96</em>

<em>at t=0, v(0) = 96 m/sec = 314.88 ft/sec</em>

It is given that,

h(t) = (-16)(t^{2}) + 96t

differentiating we get

<em>v(t) = -32(t) + 96</em>

at highest point, v=0;

thus gives us highest point achieved at t=3 seconds.

Height at t=3 seconds is,

<em>h(t) = (-16)(t^{2}) + 96t =  (-16)(3^{2}) + 96(3) = 144 m</em>

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3 years ago
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horrorfan [7]

Answer:

(6, - 9 )

Step-by-step explanation:

Given the 2 equations

6x + 2y = 18 → (1)

- 4x - 2y = - 6 → (2)

Adding the 2 equations term by term will eliminate the y- term, that is

2x + 0 = 12

2x = 12 ( divide both sides by 2 )

x = 6

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Substituting into (1)

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solution is (6, - 9 )

4 0
3 years ago
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