Answer:
8 units
Step-by-step explanation:
so there is something called Pythagorean thereon and it states that a^2+b^2=c^2
and 6 is either a or b
and c is ten so
6^2+b^2=10^2
36+b^2=100
b^2=64
here you need to find the square root in order to delete the power so
b=8
or
x=8
Answer:
The equation is 4
+
(
−
3
x
)
=
8
+
(
−
4
x
) and the answer is x=4
Explanation:
Let us call the number
x
and write our condition as:
4
+
(
−
3
x
)
=
8
+
(
−
4
x
)
rearranging:
4
x
−
3
x
=
8
−
4
x
=
4
Answer:
I think it's the first one... but I'm not pretty sure.
Answer:
SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.
The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4
The hypotenuse is 8inches longer than the shorter leg: c = a + 8
Use the Pythagorean Theorem:
a2 + b2 = c2
a2 + (a+4)2 = (a+8)2
a2 + a2 + 8a + 16 = a2 + 16a + 64
a2 - 8a - 48 = 0
Factors to:
(a-12)(a+4) = 0
a = 12, -4
Since we can't have a side of -4, a = 12
Shorter Leg = 12 inches
Longer Leg = 12 + 4 = 16 inches
Hypotenuse = 12 + 8 = 20 inches
Is this a right triangle or not? If it's a right triangle, you could use the Pythagorean Theorem to find the length of the 3rd side, which would be the hypotenuse. Thus, 14^2 + 4^2 = c^2, where c is the length of the hypot.
Then 196 + 16 = 212, and this is c^2. Then c, the length of the hypotenuse, is sqrt 212, or approx. 14.6 inches.
This does not agree with any of the four possible answers. Thus, you must look at each of these possible answers and eliminate any that could not be correct.
for example: if you take 10 inches and add 4 inches, you get 14 inches. The result would not be a triangle, but rather a straight line.
Check out the others similarly.
