What is the value of x Triangle with sides 10 6 x-6

1 answer:

5 0

Given that the triangle is a right angled triangle, to solve for x we shall use the Pythagorean theorem given by:
c^2=a^2+b^2
where:
c is the hypotenuse
a and b are the legs.
c=10
a=6
b=(x-6)
thus plugging the values in the equation and solving for x we get:
10^2=6^2+(x-6)^2
100=36+x^2-12x+36
100=x^2-12x+72
0=x^2-12x-28
factoring the above we get:
0=(x+2)(x-14)
hence
x=-2 or x=14
given that there is no negative distance then
x=14
thus the value of x is 14

You might be interested in

Characteristics of ratio

Gre4nikov [31]

It has orders and equally distanced value between units , the zero point characteristic makes it relevant or meaningful to say “ one object has twice the length of the other “ example
4:3 is a ratio

5 0

2 years ago

If f(x) = kx^3+ x^2 − kx + 2, find a number k such that the graph of f contains the point (k, -10)

Elina [12.6K]

If we write $k$ where we see $x$ in the equation and set the result equal to $-10$ , we get the result.

$f(k)=k(k)^3+k^2-k(k)+2$
$=k^4+k^2-k^2+2$
$=k^4+2=-10$
$k^4=-12$
$k_{1}=\sqrt[4]{3}(-1-i)$
$k_{2}=\sqrt[4]{3}(-1+i)$
$k_{3}=\sqrt[4]{3}(1-i)$
$k_{4}=\sqrt[4]{3}(1+i)$

4 0

8 months ago

Use slopes and y-intercepts to determine if the lines y=−x2+14 and 3x−4y=−1 are parallel.

Keith_Richards [23]

Answer: the lines are not parallel.

Explanation: if you isolate the x in 3x^2-4y=-1, the equation is y=3/4x^2+1/4

So, they are not parallel because the slope is not the same.

7 0

2 years ago

Plz help I am very confused on this

user100 [1]

Answer:

(-4, 0)

Step-by-step explanation:

(-4, 0)

8 0

2 years ago

The volume of a rectangular box is 330 cubic inches. The length on one side of the top is 11 inches, and the height of the box i

Kipish [7]