⇒ Solution
1) Simplify
<span>4x−20−8=−28+6x
2) </span>Simplify 4x−20−8 to 4x−28
<span>4x−28=−28+6x
3) G</span>roup all terms
<span>4x−28=6x−28
4) </span>Cancel −28 from eachside
<span>4x=6x
5) </span>Move all of the terms to one side
<span>4x−6x=0
6) </span>Simplify equation 4x−6x to −2x
<span>−2x=0
</span>7) Divide each side by <span><span>−2</span></span>
<span><span>x=0</span></span>
Let x represent the shorter leg. Then the Pythagorean theorem tells us
x^2 +(x +17)^2 = 25^2
2x^2 +34x +289 = 625
x^2 +17x -168 = 0
(x -7)(x +24) = 0 . . . . . the zero product rule tells you x=7 is the solution
The shorter leg is 7 cm; the longer one is 24 cm.
We are given that the passenger's jet is flying at a speed of 185 miles per hour, with a direction of 36 degrees, and the wind speed being 47 mph with a direction of 120 degrees. From this, you could create a diagram is shown in the attachment.
[ 185 cos 36, 185 sin 36 ]
+ [ 47 cos 120, 47 sin 120 ]
_______________________
[ 185 cos 36 + 47 cos 120, 185 sin 36 + 47 sin 120 ]
√( 4263 + 33988 )^2
= ( About ) √38251 = 195.57 mph
<u><em>Solution = 195.6 mph, 069° </em></u>
Base area = 12 x 12 = 144 unit²
Volume of the pyramid = 1/3 x 144 x 8 = 384 unit³
Answer: 384 unit³ (Answer B)
