<span>0 = x² + 10x + 16
Subtract </span><span>x^2+10x+16 from each side
</span><span>0−<span>(<span><span>x^2+10x</span>+16</span>) </span></span>= x^2+10x+16−(<span>x^2+10x+16</span>)
<span><span>−x^2−10x</span>−16</span>=<span>0
</span>
Factor left side
<span><span>(<span>−x−2</span>)</span><span>(x+8)</span></span>=<span>0
</span>
Set all factors to equal 0
<span><span><span>−x</span>−2</span>=<span><span><span>0<span> or </span></span>x</span>+8</span></span>=<span>0
</span>
The solutions are x = -2 and x = -8
Answer:
The length of the string is 32.56 feet (Approx) .
Step-by-step explanation:
As given
A kite is 37 feet in the air and string forms an angle of 62 degrees .
Now by using the trignometric identity.
As shown in the figure given below.
Perpendicular = AB
Hypotenuse = AC = 37 feet
Put in the identity .
Put in the identity
AB = 0.88 × 37
AB = 32.56 feet (Approx)
Therefore the length of the string is 32.56 feet (Approx) .
Answer:
the perimeter of the rectangle = 2(length + width)
= 2(4x^2 + 2 feet + 5x^2 + 3x feet )
= 2(4x^2 + 5x^2 + 2+ 3x)feet
= 2(x^2(4+5) + 2+ 3x) feet
= 2(9x^2 + 3x + 2)feet
= 18x^2 + 6x +4 feet
Step-by-step explanation:
Answer: The model is 69.420 feet tall.
Step-by-step explanation: I asked my teacher.