Match the function with the graph

Mathematics

1 answer:

Daniel [21]4 years ago

5 0

The answer is B because it’s not a straight line and x can not have an exponent of 2 bc it will make it nonlinear

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Please help me..thank you

Sergio039 [100]

Answer:

7π cm² ≈ 22.0 cm²

Step-by-step explanation:

The shaded area is the difference between the area of Circle B and the areas of Circle C and Circle O. That is, those white areas are subtracted from the area of Circle B to get the shaded area.

The formula for the area of a circle is

A = πr²

Using this, we find ...

Circle B area = π(3 cm)² = 9π cm²

Circle C area = Circle O area = π(1 cm)² = π cm²

Then the shaded area is ...

Shaded Area = Circle B area - Circle C area - Circle O area

= (9π cm²) - (π cm²) - (π cm²)

= 7π cm² ≈ 22 cm²

5 0

3 years ago

The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square kilometers, find the dimensions

Art [367]

Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
$x(2x - 6) = 2 {x}^{2} - 6x$

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

$2 {x}^{2} - 6x = 108$
Subtract 108

$2 {x}^{2} - 6x - 108 = 0$
Divide by 2.

${x}^{2} - 3x - 54$
$(x - 9)(x + 6) = 0$
Rule AB = 0, gives A is 0 or B is 0.

$x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6$

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
$x = 9$
Width
$2x - 6 = 2 \times 9- 6 = 18 - 6 = 12$

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!

6 0

3 years ago

Can someone help me with this?

Wewaii [24]

<span>3x+4=y+5, then y+5=3x+4
It is called: reflexive property

-----------------------------
</span>
<span>x = y and y = 10, then x = 10
It is called: equality substitution property
</span>