Answer:
x = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 12² = 13², so
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x =
= 5
Answer:
, ig
Step-by-step explanation:
For this problem you need to find the area.
To find area, you multiply the width by the length.
You multiply 12 1/2 by 5 1/2 and you get 31 1/4
This is how you do it::
= 25/2 × 5/2
= (25 × 5) / (2 × 2)
= 125/4
= 125/4
<span>= 31 1/4
So you know that the area is 31 1/4 yards.
In the question it asks HOW MANY FEET so we have to convert 31 1/4 yards to feet.
1 yard= 3 feet
31 1/4 *3= </span><span>93.75
<span>John need to buy 93.75 feet of fencing to enclose the area.</span></span>
To solve this polynomial equation, we first factor the left side.
To factor x² + 8x + 12 = 0, look for factors of 12 that add to 8.
These factors are 6 and 2 so we have (x + 6)(x + 2) = 0.
So either x + 6 = 0 or x + 2 = 0 and solving for
x in each equation, our answer is {-6, -2}.