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valentina_108 [34]
3 years ago
14

What is the value of z so that-9 and 9 are both solutions of x^2+z=103?

Mathematics
1 answer:
notka56 [123]3 years ago
8 0
If the sol'ns are -9 and 9, then we can use this to form our eq'n:
(x - 9)(x + 9) = 0
x^2 - 81 = 0
so...
x^2 + z - 103 = x^2 -81
z - 103 = -81
z = -81 + 103
z = 22
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mafiozo [28]

Answer:

x = 12

Step-by-step explanation:

The shape ABCDEF is an irregular polygon.  

The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).  

Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°

So to find the value of x, we need to add together all the interior angles and equal it to 720, then solve for x.

Before we do that, we need to determine angle F.

From inspection, we can see that angle F and 52° are a linear pair.  We know that a linear pair of angles add up to 180°, so F + 52 = 180  ⇒  F = 180 - 52 = 128°

Therefore:

                                           A + B + C + D + E + F = 720

(10x - 5) + 108 + (8x - 3) + (14x - 25) + 133 + 128 = 720

Collect like terms:

10x + 8x + 14x - 5 + 108 - 3 - 25 + 133 + 128 = 720

Combine like terms:

32x + 336 = 720

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Divide both sides by 32:

x = 12

8 0
2 years ago
What is mBCD. Please help. Quickly
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Answer:

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Step-by-step explanation:

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3 years ago
Blake and his brother are participating in their school’s food drive. Blake has collected 6 1/3 pounds of food and his brother h
sergejj [24]

They will need 2 5/12 more pounds to reach their goal.

<h3>Sum and difference of fractions</h3>

Given the following information as shown:

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If their goal is to collect 14 1/2 pounds of food by the end of the month, the remaining food they need to collect will be expressed as:

y =14 1/2 - (6 1/3 + 5 3/4)

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Hence they will need 2 5/12 more pounds to reach their goal.

Learn more on sum and difference of fractions here:  brainly.com/question/24205483

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