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3 years ago

Can someone help me simplify (2n + 2) + (8 + 8)

Mathematics

1 answer:

emmasim [6.3K]3 years ago

3 0

Answer:

Step-by-step explanation:

1. Lets Combine Like Terms. The only combineable terms are 8 and 8. So if we combine them they will equal 16. And we will have (2n+2)=16

2. Let's isolate the variable. We can do this by subtracting 2 from both sides. This will come out to 2n+14.

3. Let's further isolate the variable. We can do this by dividing both sides by two, which will finally come out to n=7

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The diagram above shows a rectangle inscribed in a circle AB=10 and AC =12 caculate the total surface area of the shaded part

erastova [34]

Answer:

$71.63 \: \: \mathrm{cm^2 }$

Step-by-step explanation:

Once we know the diameter of the circle, we can figure out the problem.

The diameter of the circle = The diagonal of the rectangle inscribed in the circle

To find the diagonal of the rectangle, we can use a formula.

$d=\sqrt{w^2 + l^2}$

The width is 10 cm and the length is 12 cm.

$d=\sqrt{10^2 + 12^2}$

$d \approx 15.62$

The diagonal of the rectangle inscribed in the circle is 15.62 cm.

The diameter of the circle is 15.62 cm.

Find the area of the whole circle.

$A=\pi r^2$

The $r$ is the radius of the circle, to find radius from diameter we can divide the value by 2.

$r = \frac{d}{2}$

$r=\frac{15.62}{2}$

$r=7.81$

Let’s find the area now.

$A=\pi (7.81)^2$

$A \approx 191.625$

Find the area of rectangle.

$A=lw$

Length × Width.

$A = 12 \times 10$

$A=120$

Subtract the area of the whole circle with the area of rectangle to find area of shaded part.

$191.625-120$

$71.625 \approx 71.63$

5 0

3 years ago

Which equation is equivalent to log3(x+5)=2

Lisa [10]

In exponential form: 10^2=3(x+5)
If we were to solve, x=85/3

7 0

3 years ago

Read 2 more answers

Claire is going to an amusement park. The price of admission into the park is $30, and once she is inside the park, she will hav

nydimaria [60]

Answer:

1. $66

2. 30 + 4r

Step-by-step explanation:

Let

Price of admission into the park=$30

Price of every ride in the park=$4

Number of rides =x

Total cost of going to the park= 30+4x

1. How much money would Claire have to pay in total if she goes on 9 rides

Total cost of going to the park= 30+4x

When x=9

=30+4x

= 30 + 4(9)

=30 + 36

=$66

2. How much would she have to pay if she goes on r rides?

When x=r

Total cost of going to the park= 30+4x

= 30 + 4(r)

=30 + 4r

4 0

3 years ago

Read 2 more answers

Let f(x) = 2x – 3 and g(x) = 3x – 2. Find the value.

Sholpan [36]

Answer:

Ok:

Step-by-step explanation:

So f°g . means f(g(x)). (The ° should be more center and bigger but I don't know to do that on a keyboard). f(g(x)) means that you replace the x in f(x) with the g(x) function. i.e:

if f(x) = 2x+2

and g(x) = $x^2$

f(g(x)) = $2x^2+2$ .

Similarly, in this case, we get f(x) = 2x-3 and g(x) = 3x-2.

Then, f(g(x)) or f°g(x) is 2(3x-2) - 3.

And we plug in -2 to solve:

2(3(-2)-2)-3.

and get -19.

Check if I am wrong because everyone makes mistakes but that is the way to solve this.

7 0

3 years ago

The model shown represents which of the following?

Pepsi [2]

Answer:

the answer is option four D. -8 + 3

3 0

3 years ago