Solve (x - 4)^2 = 5

What is the area of this composite shape?

ankoles [38]

Answer:

A. 132 units²

Step-by-step explanation:

The figure has already been broken into chunks, so there is no need to break it up any further.

I'll start with the top left triangle,

Formula for finding the area of triangles: (H x B) / 2

Following this formula, we take the height, 4, and multiply it by the base, 6.

4 x 6 = 24.

Now, we divide the product by 2:

24 / 2 = 12.

We now have the area for the triangle, it is time to move onto the second.

To find the height of the larger triangle, we add 4 and 4 together, giving us 8. To find the base, we subtract 6 from 15, giving us 9.

Now we multiply 8 and 9 together, then divide by 2

8 x 9 = 72

72 / 2 = 36

Now that we've found the area for both triangles, it is time to find the area of the rectangles.

Formula for finding the area of quadrilaterals such as rectangles and squares: L x W

I'll start with the smaller rectangle underneath the top left triangle:

6 x 4 = 24

Now, I'll move onto the bottom rectangle:

15 x 4 = 60

We have the areas of all the shapes in this figure, all we have left to do is to add them together:

60 + 24 + 36 + 12 = 132 units²

132 units² will be your answer.

<h2>I hope this helps!</h2>

6 0

3 years ago

Kerry drew a number line starting at 0, point a, and ending at 1, point c. Halfway between points a and c, kerry added point b.

Sholpan [36]

Answer: B) is the right answer→the distance between points a and b is equal to the distance between points b and c.

Step-by-step explanation:

As Kerry drew a number line starting at 0, point a, and ending at 1, point c and halfway between points a and c, he added point b.

.⇒ab=1/2 of ac and bc= 1/2 of ac or b is the mid point of line segment ac.

⇒ ab=bc(∵things which are equal to the same thing are equal to one another....→Euclid's first postulate)

Therefore, option B) the distance between points a and b is equal to the distance between points b and c is correct.

7 0

3 years ago

F(x) = 6X-3 - 3 What is the graph equation

TiliK225 [7]

Answer:

See attachment

Step-by-step explanation:

Assuming the equation is

$f(x) = {6}^{x - 3} - 3$

Then we have a transformed exponential function whose parent function is

$g(x) = {6}^{x}$

We can see that:

There is a transformation of the form:

$f(x) = g(x - 3) - 3$

The parent function has been shifted to the right 4 units and down 3 units.

The is shown in attachment.

6 0

3 years ago

Mark ran 2 1/3 km and Shaun ran 3 1/5 km. Find the difference in the distance that they ran.

soldier1979 [14.2K]

Answer:

7/15 km

Step-by-step explanation:

Find the least common denominator between the two fractions. The least common denominator in this case would be 15, so you have to multiply 1/3 by 5 to have a denominator of 15. Then you multiply 1/5 by 3 to have a denominator of 15. You will find that Mark ran a distance of 2 5/15 km and Shaun ran 3 3/15 km. To make it even easier, you can add the whole number back into the fraction so Mark will have ran 35/15 km and Shaun will have ran 48/15 km meaning that Shaun will have ran more. Then you set you fractions up and subtract them.

6 0

3 years ago

A town has 42,000 registered voters. A random sample of 200 voters finds that 60 voters are in favor of a new amusement park. Ho

Goryan [66]

12,600 people will probably vote.

5 0

3 years ago

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