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Vesnalui [34]
2 years ago
7

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

Mathematics
1 answer:
Hitman42 [59]2 years ago
6 0

Answer:

x =\sqrt 2

Step-by-step explanation:

  • Given is a 30° - 60° - 90° triangle.

  • side x lie opposite to 30° angle

  • \implies x = \frac{1}{2}\times \sqrt 8

  • \implies x = \frac{1}{2}\times 2\sqrt 2

  • \implies x =\sqrt 2
You might be interested in
Which equation is perpendicular to 3x - y = 9 and goes through the point (6,6)
Lelechka [254]

Answer:

y = - \frac{1}{3} x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x - y = 9 into this form by subtracting 3x from both sides

- y = - 3x + 9 ( divide all terms by - 1 )

y = 3x - 9 ← in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{3}, thus

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 6) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = - \frac{1}{3} x + 8 ← equation of perpendicular line

6 0
3 years ago
Show work / explain it ​
aivan3 [116]
Answer:
X 1 = -4,X 2 =12

EXPLANATION:

Determine the defined range
X+6/x=6/x-8,x#0,x#8

Simplify the equation using cross-multiplication
(X+6) x (x-8)=6x

Move variable to the left-hand side and change its sign
(X-6)x(x-8)-6x=0

Multiply the parentheses
X^2-8x+6x-48-6x=0

Since two opposites add up to zero, remove them from the expression
X^2-8x-48=0

Write -8x as a difference
X^2+4x-12x-48=0

Factor out x from the expression
Xx(x+4)-12x-48=0

Factor out -12 from the expression
Xx(x+4)-12(x+4)=0

Factor out from the expression
(x+4)x(x-12)=0

When the product of factors equals 0, at least one factor is 0
x+4=0
x-12=0

Solve the equation for x
X=-4
X-12=0
X=-4,x#0,x#8

Check if the solution is in the defined range
X=-4
x=12

The equation has 2 solutions

X 1 = -4,X 2 =12

Hope this helps


3 0
3 years ago
In 1997 there were 11,012 licensed drivers over age 55 involved in fatal crashes. There
san4es73 [151]

Answer:

Step-by-step explanation:

No because there could simply be more older drivers on the road.

8 0
3 years ago
Why do non STEM majors detest taking algebraic courses at the collegiate level?
yKpoI14uk [10]

Answer:

Because they find it hard to pass in the past.

Step-by-step explanation:

Non-STEM majors detest taking algebraic courses at the collegiate level because based on their past experiences in high school, whereby they probably do not excel in algebra, numbers, or mathematical subjects in general, the thought of going through advanced numbers and equations can be overwhelming.

Nobody wants to have or at least start college with poor grades. Hence, because non-STEM students find algebraic courses hard to pass in the past, they detest taking the course that has to do with it at the college level.

7 0
2 years ago
PLEASE HELP <br> IS IT LINEAR OR EXPONENTIAL
prohojiy [21]

Answer:

Linear

Step-by-step explanation:

If it were exponential it would have a small number one the right of the x

8 0
2 years ago
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