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asambeis [7]
3 years ago
14

What is the constant of variation for the relationship f(x)=30x

Mathematics
2 answers:
gregori [183]3 years ago
7 0

Since the equation can be written in the form  y = kx ,  y  varies directly with  x  and  k . The constant of variation,  k , is  30 .

30

elixir [45]3 years ago
3 0
B)30.................
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What is the area of a circle if half of it is 22 inches
Kobotan [32]

Answer: <em>The answer is 44.</em>

Step-by-step explanation:<em> </em><em>The answer is 44 because if half the area of the circle is 22 all you have to do is 22+22 or 22*2.</em>

<em />

<em>22+22=44  22*2=44</em>

3 0
3 years ago
Convert decimal 7.79 miles into mixed number milesnow
Kryger [21]
7 and 79/100 miles that is the answer
8 0
2 years ago
If the area of a rectangle in terms of x is x2 + 15x + 26 / 6x2 and its width is x2 - 3x - 10 / 30x3 Find the length of the rect
Veseljchak [2.6K]

Answer:

The length of the rectangle is;

5x(x+13)/(x-5)

Step-by-step explanation:

Mathematically, we know that the area of a rectangle is the product of the length and width of the triangle

To find the length of the rectangle, we will have to divide the area by the width

we have this as;

(x^2 + 15x + 26)/6x^2 divided by (x^2-3x-10)/30x^3

thus, we have ;

(x^2 + 15x + 26)/6x^2 * 30x^3/(x^2-3x-10)

= (x^2+15x+ 26)/(x^2-3x-10) * 5x

But;

(x^2 + 15x + 26) = (x+ 2)(x+ 13)

(x^2-3x-10) = (x+2)(x-5)

Substituting the linear products in place of the trinomials, we have;

(x+2)(x+13)/(x+2)(x-5) * 5x

= 5x(x+13)/(x-5)

4 0
2 years ago
Two boats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads
Maksim231197 [3]

Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

Distance = Speed \times Time

Distance\ OA = 10 \times 2.5 = 25\ km

Distance\ OB = 16 \times 2.5 = 40\ km

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled \triangle AOB.

According to Pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km

The speed at which distance is increasing between the two boats is given as:

\dfrac{47.17}{2.5} \approx 18.87\ km/hr

4 0
2 years ago
Please help me!! Also if you can show the steps, I’d appreciate it. Thank you very much
natita [175]
-3x=2x+19
-19 -19
-3x-19=2x
+3x +3x
-19=5x
/5 /5
x=19/5


3 0
3 years ago
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