Help! Geometry question!! Photo attached!

Mathematics

1 answer:

jonny [76]4 years ago

3 0

The triangles are not the same size so a dilation made the original one smaller and a translation moved it to map ABC to A'B'C'.

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What are the solutions of the equation x^4 + 95x^2 - 500= 0? Use factoring to solve

Artist 52 [7]

1) given x^4 + 95x^2 - 500

2) split in two factors with common factor term x^2: (x^2 + )(x^2 - )

3) find two numbers that add up 95 and their product is - 500:

=> 100*(-5) = - 500 and 100 - 5 = 95

=> (x^2 + 100)(x^2 - 5)

4) factor x^2 - 5 = (x + √5) (x - √5)

5) write the prime factors: (x^2 + 100) (x + √5) (x -√5)

6) find the solutions:

x^2 + 100 = 0 => not possible

x + √5 = 0 => x = - √5

x - √5 = 0 => x = √5

Answer: x = √5 and x = - √5

4 0

3 years ago

Madelyn is in a hot air balloon that has just taken off and is floating above its launching point. Eddie is standing on the grou

Morgarella [4.7K]

Answer:

8.9 meters

Step-by-step explanation:

this seems like a problem where you can use the pythagorean theorem:

you know one of the two legs (6m) and the hypotenuse (9m), you must find the other leg

a^2 + 6^2 = 9^2

a^2 + 36 = 81

a^2 = 45