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aev [14]
3 years ago
6

What is the value of x?

Mathematics
2 answers:
nika2105 [10]3 years ago
8 0

AC is the hypotenuse of triangle ABC.

Because the length is 6√2 and angle A is 45 degrees, we know the length of both sides is 6.

This means AB is 6, which it the hypotenuse of triangle BCD.

Using cos(angle) = adjacent leg / hypotenuse we can find x:

cos(60) = X / 6

x = 6 * cos(60)

x = 3

exis [7]3 years ago
8 0

AC is the hypotenuse of triangle ABC.

Because the length is 6√2 and angle A is 45 degrees, we know the length of both sides is 6.

This means AB is 6, which it the hypotenuse of triangle BCD.

Using cos(angle) = adjacent leg / hypotenuse we can find x:

cos(60) = X / 6

x = 6 * cos(60)

x = 3

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What is the factored form of x2 − 4x − 5?
laiz [17]
Factored Form:
x^2 - 4x - 5
Simplifying:
x^2 +  - 4x +  - 5 = 0

Reorder the terms:
- 5 +  - 4x + x^2 = 0

Solving for variable " x":
Subproblem 1:
Set the factor ( - 1 +  - 1x) equal to Zero and attempt to solve.

Simplifying:
- 1 +  - 1x = 0

Solving:
- 1 +  - 1x = 0
Move all terms containing x to the left, all other terms to the right

Add 1 to each side of equation:
- 1 + 1 +  - 1x = 0 + 1

Combine Like Terms: 0 + 1 = 1
x =  - 1


Divide each side by - 1
x =  - 1

Simplifying:  x =  -  1


Subproblem 2: Set the factor (5 +  -  1x) equal to Zero attempt to solve

Simplifying:
5 +  - 1x = 0

Move all terms containing x to the left, all other terms to the right
Add - 5 to each side of the equation
5 +  - 5  +  - 1x = 0 + 5

Combine Like terms:  5 +  - 5 = 0
0 +  - 1x = 0 +  - 5
- 1x = 0 +  - 5

Combine Like Terms: 0 +  - 5 = - 5
- 1x =  - 5

Divide each side by - 1
x = 5

Simplifying:
x = 5

Solution:
x = { - 1,  5}





Answer when factored:
(x + 1)(x - 5)







hope that helps!!!
4 0
3 years ago
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babymother [125]

Answer:

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Step-by-step explanation:

Using the Section formula

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y_{B} = \frac{7(-2)+5(4)}{7+5} = \frac{-14+20}{12} = \frac{6}{12} = \frac{1}{2}

Thus coordinates of B = (- 4, \frac{1}{2} )

6 0
3 years ago
If I’m asked to simplify an expression does that mean I shorten it or solve it?
DochEvi [55]

Answer:

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Step-by-step explanation:

When you're asked to simplify an expression it means to solve it.

4 0
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Answer:

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