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frutty [35]
4 years ago
14

Josephine's school can be represented by Point A (9,9). Point A can be translated 6 units LEFT and 5 units DOWN to create A', th

e location of Josephine's house. Which of the following can be used to find the 'd', the diagonal distance between
Point A and Point A' on the grid? Please show your work and answer correctly.
F. 6 squared + 5 squared = d squared
G. 9 squared + 4 squared = d squared
H. d squared + 5 squared = 6 squared
J. 6 squared - 5 squared = d squared
Mathematics
1 answer:
saveliy_v [14]4 years ago
6 0

Answer:

F. the distance is \sqrt{61}

Step-by-step explanation:

so this is a right triangle.

that means if the diagonal is missing, you can find it by doing a^{2} +b^{2} = c^{2}

The "rays" of a triangle are the sides that you know which is 5 and 6. luckily they meet at a right angle. therefore you can plug them in for a and b.

6^{2} + 5^{2} = d^{2}

6^2 equals 36

5^2 equals 25

36 + 25 is 61

now just add a square-root sign.

\sqrt{6} + \sqrt{5} = \sqrt{61}

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Answer:

1/2

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In the diagram below of triangle OPQ, R is the midpoint of OQ and S is
lyudmila [28]

Answer:

Measurement of OP = 12

Step-by-step explanation:

Given:

R is mid point of OQ

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RS = 18 – 4x

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Find:

Measurement of OP

Computation:

R is mid point of OQ and S is mid point of PQ;

By using mid point theorem

[1/2][OP] = RS

So,

[1/2][-9 + 7x] = [18 - 4x]

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-9 + 7x = 36 - 8x

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x = 45 / 15

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So,

OP = -9 + 7x

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8 0
3 years ago
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4 years ago
10. A 266-hp output is required for an engine. If there is a 5% loss of power, what amount of input
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Answer:

Amount of input horsepower needed is 279.3 hp.

Step-by-step explanation:

if there is a loss of power of 5% the base horsepower will need to be increased by same percentage so that same amount of power can be delivered.

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Now to deliver same amount of power we will have to add 5% of 266 hp to its actual power.

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