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2 years ago

If the area of the outer square is 4x2, then the area of the inner square is

1 answer:

6 0

Answered by the following sums - Outer square area = 4x^2 side of the square = 2x which is equal to diameter of circle == diameter of inner square. radius of circle = x diameter of outer square = 2*sqrt(2)*x consider side of inner square = a so a^2 + a^2 = (2x)^2 2a^2 = 4x^2 a = x*sqrt(2) So area of inner square will be = 2x^2

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Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (6, 1280)(6,1280).

Phoenix [80]

Answer:

$y=20(2)^x$

Step-by-step explanation:

We want to write an exponential function that goes through the points (0, 20) and (6, 1280).

The standard exponential function is given by:

$y=ab^x$

The point (0, 20) tells us that y = 20 when x = 0. Hence:

$20=a(b)^0$

Simplify:

$20=a(1)\Rightarrow a=20$

So, our exponential function is now:

$y=20(b)^x$

Next, the point (6, 1280) tells us that y = 1280 when x = 6. Thus:

$1280=20(b)^6$

Solve for b. Divide both sides by 20:

$64=b^6$

Therefore:

$b=\sqrt[6]{64}=2$

Hence, our function is:

$y=20(2)^x$

8 0

2 years ago

A teacher has threee pieces of wood that measure 2 ft , 3 ft, and 6 ft, respectively. The teacher asks

raketka [301]

Yo the anwser is uploaded on

8 0

2 years ago

Find the magnitude of the vector <−4, −6>. 8 7.2 10 6.4

PolarNik [594]

The magnitude of the vectors is 7.2

The magnitude of a vector is resolved by using a formula

<h3>Magnitude of a Vector</h3>

This is the displacement between two vectors and can be calculated as

$x^2 = y^2 + z^2\\x = \sqrt{y^2 + z^2} \\$

where x is the magnitude of displacement between y and z.

In this question, the vectors are

-4
-6

Let's find the magnitude of this vector

$x = \sqrt{(-4)^2+(-6)^2}\\x = \sqrt{16+36}\\x = \sqrt{52}\\x = 7.2$

The magnitude of the vectors is 7.2

Learn more on magnitude of vectors here;

brainly.com/question/3184914

brainly.com/question/8536161

4 0

1 year ago

Line Passing through (4,5) and perpendicular to Equation y= -2x+3

DENIUS [597]

Answer:

1/2x+3

Step-by-step explanation:

I graphed it

3 0

2 years ago

Does the given equation of line form parallel lines or not

malfutka [58]

$k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1\cdot m_2=-1\\\\k\ ||\ l\iff m_1=m_2$

$k:x+4y=10\ \ \ |-x\\\\4y=-x+10\ \ \ \ |:4\\\\y=-\dfrac{1}{4}x+\dfrac{10}{4}\to m_1=-\dfrac{1}{4}\\\\l:3x-2y=5\ \ \ \ |-3x\\\\-2y=-3x+5\ \ \ \ |:(-2)\\\\y=\dfrac{3}{2}x-\dfrac{5}{2}\to m_2=\dfrac{3}{2}$

$m_1\neq m_2\to\text{ no parallel}\\\\m_1\cdot m_2=-\dfrac{1}{4}\cdot\dfrac{3}{2}\neq-1\to\text{ no perpendicular}$

Answer: NOT PARALLEL

5 0

2 years ago