Answer:
x(6 + 8x²) or 6x + 8x³.
Step-by-step explanation:
"The square of x" can be represented by x² and 8 times that would be 8 * x² or 8x². The sum of 6 and 8x² can be represented by 6 + x² and the product of x and 6 + x² can be represented by x * (6 + 8x²) or x(6 + 8x²) which simplifies to 6x + 8x³.
The length of he altitude to the hypotenuse is the square root of 108
Answer:
<h3><u>x < 1.975</u></h3>
Explanation:
-12.4x + 8x > -0.4x - 5.2 - 2.7
<em>Add similar elements: -12.4x + 8x = -4.4x</em>
-4.4x > -0.4x - 5.2 - 2.7
<em>Subtract -5.2 - 2.7: -7.9</em>
-4.4x > -0.4x - 7.9
<em>Multiply both sides by 10</em>
-4.4x · 10 > -0.4x - 7.9 · 10
<em>Refine</em>
-44x > -4x - 79
<em>Add 4x to both sides</em>
-44x + 4x > -4x - 79 + 4x
<em>Simplify</em>
-40x > -79
<em>Multiply both sides by -1 (Reverse the inequality)</em>
-40x (-1) > -79 (-1)
<em>Simplify</em>
40x < 79
Divide both sides by 40
40x / 40 < 79 / 40
<em>Simplify</em>
x < ⁷⁹⁄₄₀
<em>Turn the fraction into a decimal</em>
<h3><u>x < 1.975</u></h3>
Answer:
If a quadrilateral is a parallelogram, then each intersects the other ________________________ at its ______________________. Because this is so, we can say that the_____________________ of a ________________ also ______________________ each other.