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11111nata11111 [884]
2 years ago
9

Solve using perfect square factoring patterns. y2 + 16y + 64 = 0 {8} {0, –1} {–8} {8, –8}

Mathematics
1 answer:
lubasha [3.4K]2 years ago
7 0

Answer:

y^2 + 16y + 64 = 0

(y + 8)(y+8) = 0

y + 8 = 0

y = -8

y + 8 = 0

y = -8

Step-by-step explanation:

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3 years ago
Determine the type of transformation.
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2 years ago
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Nonamiya [84]

Answer:

PST=80

Step-by-step explanation:

So we know that angle R=130 and because this is a parallelogram we can assume angle SPQ also equals 130 and knowing that we can find that angle RQP and RSP are equal both equal to 50 and since we know that RSP=50 we know SPT is also 50 because of alternate angles. SPT is an equilateral triangle so we also know that angle T is 50 degrees. All triangles degrees equal 180 so we can set up the problem the angle SPT(50) + the angle STP(50) + The angle PST(x) = 180 50+50=100 so it is 100+x=180 -100 PST(x)=80

5 0
3 years ago
the longest side of a right-angled triangle is 13 cm. if the perimeter of the triangle is 30 cm, find the shortest side
sasho [114]

Answer:

The shortest side = 5

Step-by-step explanation:

Call one  side = a

The middle side = b

the hypotenuse = c

a^2 + b^2 = c^2

a^2 + b^2 = 13^2

a^2 + b^2 = 169

a + b + c = 30

a + b + 13 = 30

a + b = 17

b = 17 - a

a^2 + b^2 = 169

a^2 + (17 -  a)^2 = 169

a^2 + (289 - 34a + a^2) = 169

a^2 + a^2 - 34a + 289 = 169           Subtract 169 from both sides

2a^2 - 34a + 289 - 169 = 0

2a^2 - 34a + 120 = 0                      Divide by 2

a^2 - 17a + 60 = 0

This quadratic is easily factored. You need two numbers that add to - 17 and multiply to 60

(a - 5) * (a - 12) = 0    Both give you positive answers. You only want the shortest side

a - 5 = 0

a = 5                                              Is 5 the shortest side?

a - 12 = 0

a = 12                                           Yes 5 is the shortest side.

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