All categories

2 years ago

What is the value of x?

Mathematics

1 answer:

Juli2301 [7.4K]2 years ago

3 0

Answer:

x = 3 sqrt 2

Step-by-step explanation:

We know that this is a 45, 45m 90 special right triangle. In this special right triangle the side lengths are x, x and the hypotenuse is x sqrt 2 (we can prove this using pythagoreans theorem). 6 is the hypotenuse, meaning that it is equal to x sqrt 2:

6 = x sqrt 2

x = 6/sqrt 2

Rationalize the denominator:

x = (6 sqrt 2)/2

x = 3 sqrt 2

You might be interested in

An object is launched vertically upward from a 25 foot platform and is modeled by the function s(t)=−16t2+11t+25.

ch4aika [34]

Correct option:

d. 1.64

<h2>Explanation:</h2>

An object is launched vertically upward from a 25 foot platform and is modeled by the following function:

$s(t)=-16t^2+11t+25$

So this is the equation of a parabola because the object is a projectile so it follows the Projectile Motion.

The object fall back to the ground when $s(t)=0$ so:

$-16t^2+11t+25=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ t_{12}=\frac{-b\pm \sqrt{b^2-4ac}}{2a} \\ \\ a=-16 \\ \\ b=11 \\ \\ c=25 \\ \\ \\ t_{12}=\frac{-11\pm \sqrt{11^2-4(-16)(25)}}{2(-16)} \\ \\ t_{12}=\frac{-11\pm 41.48}{-32} \\ \\ t_{1}=\frac{-11+ 41.48}{-32}=-0.95s \\ \\ t_{2}=\frac{-11- 41.48}{-32}=1.64s$

Since time can't be negative, we only choose the positive value. therefore:

<em>The object fall back to the ground after 1.64 seconds</em>

<h2>Learn more:</h2>

Projectile motion: brainly.com/question/12554459

#LearnWithbrainly

4 0

2 years ago

Using the elimination method to solve <br> 2 x-y=8<br> x + y = 20

Pepsi [2]

Step-by-step explanation:

2x-y=8

x+y=20

------------

3x=28

×=28÷3=9.3

9.3+y=20

y=20-9.3

y=20.7

7 0

2 years ago

Megan reads 2 pages of a book each morning

Makovka662 [10]

It’s A because 2+3=5 and 5x7=35

8 0

2 years ago

Find the solution of this system of equations<br> 4x - 5y = -12<br> -X + 5y = 18

Natalka [10]

4x - 5y = -12

-x + 5y = 18

Add the equations together:

4x + -x = 3x

-5y + 5y = 0

-12 + 18 = 6

So now you have:

3x = 6

Divide both sides by 3:

X = 2

Now you have the value of x, replace x with 2 in one of the equations and solve for y:

4(2) -5y = -12

8 -5y = -12

Subtract 8 from both sides:

-5y = -20

Divide both sides by -5:

Y = 4

The solution is x = 2 and y = 4 which is written as (2,4)

7 0

2 years ago

Sandy is driving cross country. She has covered 200 miles from the east coast towards the west coast. She has driven this distan

lilavasa [31]

Okay so here it is

the answer is M=100D + 200

Why?

because 200miles divided by 2 days is 100 so every day she drives 100 miles which means you would times the days by 100 miles and since you have already gone 200 miles it would be

m=100d+ 200

hope this helps

7 0

2 years ago