Answer:
B. -1.5x − 3.5y = -31.5
Step-by-step explanation:
You forgot to provide the reference image which is essential to answer the question, but I managed to find it... and attach it to my answer.
In the given equation for AB, if we place the y term on the left and x term on the right, we see the slope of that line is 7/3 (y = (7x - 21.5)/3 ==> 7/3x).
We see on the image that the line PQ is perpendicular to AB. That means that its slope is -3/7.
If we quickly check the slopes of each of the possible answers...
A. -3x + 4y = 3 ----> 4y = 3x - 3 ==> y = (3x-3)/4 => slope = 3/4
Not what we're looking for.
B. -1.5x - 3.5y = -31.5 ==> 3.5y = -1.5x + 31 ===> y = (-1.5x +31)/3.5
that gives us a slope of -1.5/3.5... We can simplify it... -3(0.5)/7(0.5) = -3/7
Exactly as predicted.
Since we have the point P (7,6), we can enter it in the equation to verify:
-1.5x - 3.5y = -31.5
-1.5 (7) - 3.5 (6) = -10.5 - 21 = -31.5 --- Verified
C. 2x + y = 20 ==> y = 20 - 2x ===> slope is -2, not what we want.
D. -2.25x + y = -9.75 ==> y = 2.25x - 9.75 ==> slop is 2.25 cannot be it.
Answer:
Height of shuttle at that instant = 1.17 miles
Step-by-step explanation:
Refer the given figure.
C is the position of rocket and B is the position of observer.
Here we need to find AC, that is the height of shuttle at that instant.
Using trigonometric rules on ΔABC, we have
Height of shuttle at that instant = AC = 1.17 miles
