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spin [16.1K]
2 years ago
13

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
goldenfox [79]2 years ago
6 0

Answer:

x = 5\sqrt{2}

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = \frac{1}{\sqrt{2} } , then

cos45° = \frac{adjacent}{hypotenuse} = \frac{5}{x} = \frac{1}{\sqrt{2} } ( cross- multiply )

x = 5\sqrt{2}

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Rewrite the equation 8x + 6x2 - 7= in standard form and identify a, b, and c.
Andru [333]

Answer:

a = 6

b = 8

c = -7

Step-by-step explanation:

In standard form, we have ;

y = ax^2 + bx + c

Here, we have;

6x^2 + 8x - 7

a is the coefficient of x^2 which is 6 in this case

b is the coefficient of x which is 8

c is the last number which is -7

So we have;

a = 6

b = 8

c = -7

8 0
3 years ago
What are the coordinates of the point on the directed line segment from (- 10, - 10) to (6, - 2) that partitions the segment int
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Answer:

Denote:

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vector AB(6 - -10, -2 - -10) = (16, 8)

(3/5)vector AB = (16 x 3/5, 8 x 3/5) = (9.6, 4.8)

=> Point M that partitions the directed line segment AB into a ratio of 3 to 5:

M = A + (3/5)vector AB = (-10 + 9,6, -10 + 4.8) = (-0.4, -5.2)

Hope this helps!

:)

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3 years ago
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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 18 N acts on
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Answer:

the force is pull

Step-by-step explanation:

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Answer:

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