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Darina [25.2K]
2 years ago
10

In the diagram, R, S, and T are all points of tangency. What is the perimeter of Triangle XYZ?

Mathematics
1 answer:
Molodets [167]2 years ago
7 0

Answer:

54 cm

Step-by-step explanation:

Perimeter = TZ + TX + RX + RY + SY + SZ

TZ = 5 cm

TX = 13 cm

RY = 9 cm

RX = TX = 13 cm (tangents drawn from and external point)

SY = RY = 9 cm (tangents drawn from and external point)

SZ = TZ = 5 cm (tangents drawn from and external point)

Plug in the values:

Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm

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the point D can shift left 2 units which would be at that point
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Which equation represents the graphed function?
Neporo4naja [7]

Answer:

y=1/4x-2

Step-by-step explanation:

the first y axis number it touches is -2 and the slope is 1/4.

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2 years ago
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Given the relation y = 7x2 + 3, if the input is 4, what is the output? (4 points)
aivan3 [116]
I'm assuming that you meant: 
y = 7x² + 3 

Remember! Inputs are always x values (unless stated otherwise). Meaning the problem says: 
x = 4 

y = 7(4)² + 3 

The square only applies to the 4. The 7 is not going to be squared! (To be exact it only applies to whatever the value of x is. 

4² = 4·4 = 16

Remember: 
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Follow PEMDAS from left to right (or in the case above from top to bottom).

7·16 + 3 = ? 

16·7 = 10·7 + 6·7 = 70 + 42 = 112
(All I did to multiply was break it up into parts. If it confuses you don't worry about it, and just multiply it out like normal or use a calculator if you are allowed to)

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4 0
3 years ago
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Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 eac
Vikki [24]

Answer:

All are correct.

Step-by-step explanation:

Let x be the number of movies and y be the number of newly released video games.

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 each.

20x+50y\leq 400

Larry must purchase at least nine items.

x+y\geq 9

Check both inequalities of all given ordered pairs.

For (5,6),

20(5)+50(6)\leq 400\Rightarrow 400\leq 400

5+6\geq 9\Rightarrow 16\geq 9

Point (5,6) satisfy both inequalities.

For (10,4),

20(10)+50(4)\leq 400\Rightarrow 400\leq 400

10+4\geq 9\Rightarrow 14\geq 9

Point (10,4) satisfy both inequalities.

For (20,0),

20(20)+50(0)\leq 400\Rightarrow 400\leq 400

20+0\geq 9\Rightarrow 20\geq 9

Point (20,0) satisfy both inequalities.

For (15,2),

20(15)+50(2)\leq 400\Rightarrow 400\leq 400

15+2\geq 9\Rightarrow 17\geq 9

Point (15,2) satisfy both inequalities.

Therefore, all combination of movies and newly released video games Larry could purchase using his gift card.

4 0
3 years ago
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