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WINSTONCH [101]
3 years ago
9

The net below depicts a triangular prism. What is the total surface area of the prism?

Mathematics
2 answers:
Illusion [34]3 years ago
8 0

Answer:

c

Step-by-step explanation:

maria [59]3 years ago
5 0

Answer:

312

Step-by-step explanation:

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Find the distance between the points ( – 9, – 4) and ( – 4,8).
Dmitriy789 [7]

Answer:

Distance=13\ units

Step-by-step explanation:

<u><em>Distance between two points:</em></u> Distance between two pints (x_1,y_1)\ and\ (x_2,y_2) is given by

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between (-9,-4)\ and\ (-4,8).

d=\sqrt{(-4-(-9))^2+(8-(-4))^2}\\\\d=\sqrt{(-4+9)^2+(8+4)^2}\\\\d=\sqrt{(5)^2+(12)^2}=\sqrt{25+144}\\\\d=\sqrt{169}\\\\d=13

6 0
3 years ago
A mother has two children whose ages differ by 5 years. The sum of the squares of their ages is 97. The square of the​ mother's
svetoff [14.1K]

Answer:

41 years old.

Step-by-step explanation:

Let x represent age of younger child.

We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be x+5.

The sum of the squares of their ages is 97. We can represent this information in an equation as:

x^2+(x+5)^2=97

Let us solve for x.

x^2+x^2+10x+25=97

2x^2+10x+25-97=0

2x^2+10x-72=0

Divide both sides by 2:

x^2+5x-36=0

x^2+9x-4x-36=0

x(x+9)-4(x+9)=0

(x+9)(x-4)=0

(x+9)=0 ; (x-4)=0

x=-9 ; x=4

Since age cannot be negative, therefore, age of younger child is 4 years.

Age of older child would be x+5\Rightarrow4+5=9

Therefore, the age of older child would be 9 years.

We have been given that the square of the​ mother's age can be found by writing the squares of the​ children's ages one after the other as a​ four-digit number.

Square of 4: 4^2=16

Square of 9: 9^2=81.

Square of mother's age: 1681

To find mother's age, we need to take positive square root of 1681 as:

\sqrt{1681}=41

Therefore, the mother is 41 years old.

4 0
3 years ago
Suppose that g(x) = KX-6) - 3. Which statement best compares the graph
sukhopar [10]

Answer:

C

Step-by-step explanation:

Since g(x) =f(x-horizontal shift) - vertical shift.

So it will shift on the x-axis - 6 units so 6 units to the left and on the y-axis - 3 units so 3 units down.

4 0
3 years ago
(X^3+3x^2-x+8)/(x-1)
ki77a [65]
Here is all of the work:

8 0
4 years ago
I'm not sure how to solve this. please help​
zepelin [54]

Answer:

The awnser is 2 and 3!!!!!!

8 0
3 years ago
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