Answer:
B. 21.2
Step-by-step explanation:
Perimeter of ∆ABC = AB + BC + AC
A(-4, 1)
B(-2, 3)
C(3, -4)
✔️Distance between A(-4, 1) and B(-2, 3):




AB = 4 units
✔️Distance between B(-2, 3) and C(3, -4):




BC = 8.6 units (nearest tenth)
✔️Distance between A(-4, 1) and C(3, -4):




AC = 8.6 units (nearest tenth)
Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units
By decomposing the figure in simpler shapes, we will see that the total area is:
a = 180 cm²
<h3>
How to find the area of the composite figure?</h3>
Remember that the area of a rectangle of width W and length L is:
A = L*W
And the area of a triangle with base B and height H is:
A = B*H/2.
Then, the upper part can be seen as a rectangle of length of 6cm and width of 6 cm, with two triangles on the sides, such that each triangle has a base of 3cm and a height of 6cm.
So the area of that part is:
A = 6cm*6cm + 2*(3cm*6cm/2) = 54cm²
Now, the bottom triangle has a base of 12 cm, and a height of:
15cm - 6cm = 9cm
Then its area is:
A' = 12cm*9cm/2 = 54cm²
This means that the total area of the figure is:
total area = 54cm² + 54cm² = 108cm²
If you want to learn more about area:
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By definition of cubic roots and power properties, we conclude that the domain of the cubic root function is the set of all real numbers.
<h3>What is the domain of the function?</h3>
The domain of the function is the set of all values of x such that the function exists.
In this problem we find a cubic root function, whose domain comprise the set of all real numbers based on the properties of power with negative bases, which shows that a power up to an odd exponent always brings out a negative result.
<h3>Remark</h3>
The statement is poorly formatted. Correct form is shown below:
<em>¿What is the domain of the function </em>
<em>?</em>
<em />
To learn more on domain and range of functions: brainly.com/question/28135761
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If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.
<h3>
Number of hardcover bought</h3>
Let h represent hard cover
Let p represent paperbacks
Formulate an equation
h + p= 8.......(1)
4h + 2p= 26......(2)
Multiply equation (1) by -2
-2h + -2p = -16
<u> 4h + 2p = 26</u>
2h + 0p =10
2h = 10
Divide both side by 2h
h=10/2
h =5 hard covers
Paper backs
P=5-2
P=3 paper backs
Therefore If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.
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It would be 151/100 it ant be symplified anymore so