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3 years ago

12

Please help which one is the answer

1 answer:

drek231 [11]3 years ago

6 0

Answer:

The second bubble

Explanation

You need to make your exponents equal the other side so to do this;

Distribute the 3 in the exponent "3(x-2)"

Which is 3x-6

And since multiplying exponents adds them, you need a -6 to make the two equal.

So your exponent should equal -6 to make that statement true

You might be interested in

Given: ∆ABC, m∠C = 90° CB = 8, m∠B = 38º Find the area of a circumscribed circle. Find the area of the inscribed circle.

vitfil [10]

Answer:

Circumscribed circle: Around 80.95

Inscribed circle: Around 3.298

Step-by-step explanation:

Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:

$\cos 38= \dfrac{8}{AB} \\\\\\AB=\dfrac{8}{\cos 38}\approx 10.152$

To find the area of the circumscribed circle:

$r=\dfrac{AB}{2}\approx 5.076 \\\\\\A=\pi r^2\approx 80.95$

To find the area of the inscribed circle, you need the length of AC, which you can find with the Pythagorean Theorem:

$AC=\sqrt{10.152^2-8^2}\approx 6.25$

The area of the triangle is:

$A=\dfrac{bh}{2}=\dfrac{8\cdot 6.25}{2}=25$

The semiperimeter of the triangle is:

$\dfrac{10.152+6.25+8}{2}\approx 24.4$

The radius of the circle is therefore $\dfrac{25}{24.4}\approx 1.025$

The area of the inscribed circle then is $\pi\cdot (1.025)^2\approx 3.298$ .

Hope this helps!

6 0

3 years ago

What is the number in scientific notation ? <br><br> 0.000000000093

yaroslaw [1]

0.000000000093 in scientific notation is 9.3 x 10 ^ -11

4 0

3 years ago

Read 2 more answers

What is the simplified form of the quantity of x plus 7, all over the quantity of x plus 3 + the quantity of x minus 4, all over

enyata [817]

Break down the words into an equation:
(x+7)/(x+3) + (x-4)/3

3 0

3 years ago

Y varies inversely with x. When x = 3 then y = 5. Write a function to represent this relationship.

Mariulka [41]

Answer:

<em>The function to represent this relationship will be: $y= \frac{15}{x}$ </em>

Step-by-step explanation:

$y$ varies inversely with $x$ . That means......

$y= \frac{k}{x}..............................(1)$

where $k$ is a proportional constant.

Given that, when $x=3$ , then $y=5$

Plugging these values into the above equation, we will get.....

$5=\frac{k}{3}\\ \\ 5(3)=\frac{k}{3}(3)\\ \\ 15=k$

Now plugging this $k=15$ into equation (1).....

$y= \frac{15}{x}$

So, the function to represent this relationship will be: $y= \frac{15}{x}$

8 0

3 years ago

In a certain residential suburb, 60% of all households get Internet service from the local cable company, 80% get television ser

Serggg [28]

Answer:

a) 0.900

b) 0.400

Step-by-step explanation:

Let I = households getting internet

T = households getting television

Then I = 60%

and T = 80%

$I\cap T = 50\%$ (Households that get both services)

a) Households getting at least one service, $I\cup T = I + T - I\cap T= 60+80-50 =90\%=0.900$

b) Those getting internet only = $I - I\cap T = 60 - 50 = 10\% = 0.1$

Those getting television only = $T - I\cap T = 80- 50=30\%=0.3$

Probability of getting exactly one service = 0.1 + 0.3 = 0.400

6 0

3 years ago