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3 years ago

Find the value of the variables. If your answer is not an integer, leave it in simplest radical form.

Mathematics

1 answer:

stepladder [879]3 years ago

4 0

We know that we can use trigonometry to solve for x here.

If we use tangent, we can solve for x directly:

$tan(theta)=\frac{opposite}{adjacent}$

$tan(60)=\frac{x}{6}$

$6*tan(60)=x$

$x=6\sqrt{3}$

So therefore we have solve for x, which is D) $6\sqrt{3}$ .

You might be interested in

What is 57 divided by 3591

lbvjy [14]

57/ 3591
= (57/57) / (3591/57)
= 1/63

The final answer is 1/63~

7 0

3 years ago

F(x)=4x+2 and g(x)=4(x−9)+2. What transformation occurs from function f to function g? a translation 9 units right a horizontal

marishachu [46]

Answer:

A translation 9 units right

Step-by-step explanation:

Given

$f(x) = 4x + 2$

$g(x) = 4(x -9)+ 2$

Required

Translation of f(x) to g(x)

To do this, we take the options one after the other.

A translation 9 units right

When an original function f(x) is translated to the right by h points, the resulting function g(x) is

$g(x) = f(x - h)$

So, we have that:

$f(x) = 4x + 2$

When translated to the right by 9 points,

$g(x) = 4(x - 9) + 2$

<em>Hence, option A answers the question</em>

5 0

3 years ago

Which equation has the same solution as 2x^2+16-10=0

Nastasia [14]

2x^2 + 16x - 10 = 0
2(x^2 + 8x) - 10 = 0
2 [(x + 4)^2 - 16 ]- 10 = 0
[(x + 4)^2 - 16 - 5 = 0
(x + 4)^2 - 21 = 0
(x + 4)^2 = 21

3 0

3 years ago

For number 8 how do you factor the common factor out of the expression

kari74 [83]

You do the same as with number you take out the largest allowed amount. For example for 8 you could take out x^2 and y^2 along with the normal factors, So once you factor everything out you would be left with 27x^2y^2(y^3-3x)

5 0

3 years ago

The product of a number and 8 less than the number is –15. Find the number. and plz explain

blondinia [14]

Answer:

It can be 5 or 3

Step-by-step explanation:

let x = that number

x * (x - 8) = -15

xx - 8x + 15 = 0

xx - 3x - 5x + 15 = 0

x(x - 3) - 5(x - 3) = 0

(x - 5)(x - 3) = 0

then x = 5 or x = 3

4 0

3 years ago