Answer:
None of the answers provided are equivalent
Step-by-step explanation:
To solve it would be best to simplify each of the expressions you have listed by combining like terms all the x^2 terms have been bolded, the x terms italicized, and the constant terms are underlined
(<em>4x</em> <u>+ 1.2</u>) + (2x ^ 2 <em>- 6x</em> <u>+ 5</u>) = 2x ^ 2 <em>- 6x</em> <u>+ 6.2</u>
(x ^ 2 <em>- 5x</em> +<u> 13</u>) + (x ^ 2 <em>+ 3x </em><u>- 6</u>) = 2x^2 <em>-2x </em><u>+7</u>
(4x ^ 2<em> - 6x</em> <u>+ 11</u>) + (2x ^ 2<em> - 4x</em><u><em> </em></u><u>+ 4</u>) = 6x^2 -<em>10x </em><u>+15</u>
(5x ^ 2 <em>- 8x</em> <u>+ 120</u>) + (- 3x ^ 2 <em>+ 10x</em> <u>- 13</u>) = 2x^2 <em>+ 2x</em> <u>+ 107</u>
Answer:
A.) 0.9cm, 1.2cm, 1.5cm
Step-by-step explanation:
The side ratios of the offered answers are ...
A — 3:4:5 . . . . . . obviously a right triangle
B — 3:5:5 . . . . . . isosceles, but not a right triangle
C — 3:4:6 . . . . . . an obtuse triangle
D — 3:2:5 . . . . . . not even a triangle (just a line segment)
_____
<em>Comment on 3:4:5</em>
This set of small integers appears often in problems involving right triangles. It is the smallest "Pythagorean triple" — a set of integers that satisfies the relationship of the Pythagorean theorem — and it is the only Pythagorean triple that is an arithmetic sequence (differences between the numbers are the same).
When you see a triangle with sides in these ratios, you know it is a right triangle. When you see a right triangle with two of the sides having a ratio of 3:4, 3:5, or 4:5 (where "5" is the hypotenuse), then you know the length of the remaining side.
A^2 + b^2 = c^2
40^2 + x^2 = 48^2
1,600 + x^2 = 2,304
-1,600 -1,600
x^2 = 704
(square both)
x = 26.53....
So the mattress is about 26.5 inches off the ground.
Hope this helps!
Answer:
a
Step-by-step explanation:
Answer:
12.........…....….................