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3 years ago

A plant grows at a constant rate. Lokesh records the height of the plant each

Mathematics

1 answer:

irga5000 [103]3 years ago

4 0

Answer:

The constant of proportionality is 1/2

Step-by-step explanation:

The plants grow 1/2 in per week

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Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

3 years ago

1 inch on a map represents 2 miles what is the scale ratio

bazaltina [42]

Answer:

1 inch

______

2 miles

7 0

3 years ago

Read 2 more answers

0. Completa:<br>4.520.389 = 4__ +5CM + __+__+__+__+__<br>

stira [4]

Answer:

Step-by-step explanation:

In this proble, we defined:

D represents tens.
C represents hundreds.
M represents millions.
U is units.

So, the given number is 4,520,389, where we need to state the proper variable according to the position of each digit and its value.

4,520,389 = 4M + 5CM + 2DM + 3C + 8D + 9U

In words, the first term represents 4 millions, the second term represents 5 hundred thousands, the third term represents twenty thousands, the fourth term represents three hundreds, the fifth term represents eighty and the las term represents 9 units.

4 0

3 years ago

Please solve these questions on the topic of exponents

galina1969 [7]

Answer/Step-by-step explanation:

Recall: $x^{-a} = \frac{1}{x^a}$