All categories

3 years ago

Find the third side in simplest radical form:

Mathematics

1 answer:

leonid [27]3 years ago

8 0

Answer:

The third side is 8

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse

a^2 + 15^2 = 17^2

a^2 +225 = 289

Subtract 225 from each side

a^2 +225-225=289-225

a^2 = 64

Take the square root of each side

sqrt(a^2) = sqrt(64)

a= 8

You might be interested in

Please help me solve #6 and #8<br> Also explain

Vesna [10]

Transitive property

4 0

3 years ago

jane and eric decide to drive to kansas city, as they leave home in columbia, they notice the car odometer reads 22,745 miles. W

Ksju [112]

118 miles hope it hleps

5 0

3 years ago

Find the slopes of line j and line k. Are they parallel? IF U ANSWER RIGHT I WILL MARK BRAINLIEST PLEASE ANSWER NEED ANSWER FAST

zloy xaker [14]

Answer:

The lines are certainly not parallel!

Step-by-step explanation:

The slope of line J is 3/2, while the slope of line k is exactly 1 :)

5 0

3 years ago

Read 2 more answers

Can someone PLEASE help me solve this equation ? due soon

RideAnS [48]

$\sf{Given : 3tanx + 7 = \dfrac{2}{(1 - sinx)(1 + sinx)}}$

We know that : (a - b)(a + b) = a² - b²

$\implies \sf{3tanx + 7 = \dfrac{2}{1 - sin^2x}}$

We know that : 1 - sin²x = cos²x

$\implies \sf{3tanx + 7 = \dfrac{2}{cos^2x}}$

$\sf{\bigstar \ \ We \ know \ that : \boxed{\sf{\dfrac{1}{cos^2x} = sec^2x}}}$

$\implies \sf{3tanx + 7 = 2sec^2x}$

We know that : sec²x = 1 + tan²x

$\implies \sf{3tanx + 7 =2(1 + tan^2x)}$

$\implies \sf{2 + 2tan^2x - 3 tanx - 7 = 0}$

$\implies \sf{2tan^2x - 3 tanx - 5 = 0}$

$\implies \sf{2tan^2x - 5tanx + 2tanx - 5 = 0}$

$\implies \sf{2tanx(tanx + 1) - 5(tanx + 1) = 0}$

$\implies \sf{(tanx + 1)(2tanx - 5) = 0}$

$\implies \sf{tanx = -1 \ (or) \ tanx = \dfrac{5}{2} }$

8 0

3 years ago

If f(x)=3x+2, find f(f^-1(14))

krek1111 [17]

F(x) = 3x + 2x = 3f-1(x) + 2x - 2 = 3f-1(x)(x - 2)/3 = f-1(x)(14 - 2)/3 = f-1(14)12/3 = f-1(14)4 = f-1(14) f(f-1(14)) = f(4)f(4) = 3(4) + 2f(4) = 12 + 2f(4) = 14 A function and its inverse are inverse operations, like addition and subtraction. They undo each other. f(f-1(x) = x

6 0

3 years ago

Read 2 more answers

Find the third side in simplest radical form:​

Find the third side in simplest radical form: