The answer is 2sqrt2

Mathematics

1 answer:

vladimir1956 [14]2 years ago

3 0

Answer:

Step-by-step explanation:

The triangle is isosceles. That means that the unmarked side is also x

The Pythagorean Theorem applies

x^2 + x^2 = 4^2

2x^2 = 16 Divide by 2

2x^2/2 = 16/2

x^2 = 8

x^2 = 2 * 2 * 2

sqrt(x^2) = sqrt(2 * 2 * 2)

The rule is take one of a pair of factors out of the root sign and through the other member of the pair away. The third 2 stays under the root sign.

x = 2sqrt(2)

You might be interested in

What is the solution to the following system of equations 2x+3y=3 and -3x-2y=8

SpyIntel [72]

2x+3y=3
-3x-2y=8

3y=3-2x
-2y = 8+3x

y = 1 - 2x/3
y = -4 - 3x/2

1 - 2x/3 = -4 - 3x/2

5 = - 3x/2 + 2x/3

5 = -9x/6 + 4x/6

5 = -5x/6

x = 5 * 6/-5

x = -6

No plug it in.

2x+3y=3 ; x = -6

-12 + 3y = 3

3y=3+12

3y=15

y = 5

So x = -6 and y = 5

3 0

3 years ago

Help im just doing this for my brother :C

cluponka [151]

Answer:

578

Step-by-step explanation:

118 + 560 = 678

678 - 100 = 578

578 is your answer

5 0

2 years ago

Read 2 more answers

The function h(t) = −16t2 + 18t models the height, in feet, reached by a leopard t seconds after it jumps. What is the approxima

S_A_V [24]

9514 1404 393

Answer:

5 1/16 ft

Step-by-step explanation:

h(t) = -16t(t -18/16) . . . . put in intercept form

The function describes a parabola that opens downward. It has zeros at t=0 and t=9/8. The maximum height will be found at the vertex of the parabola, halfway between these zeros.

f(9/16) = (-16)(9/16)² +18(9/16) = 81/16 = 5 1/16 . . . . feet

The approximate maximum height of the leopard is 5 1/16 feet.