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Semmy [17]
4 years ago
9

A plane flew for 4 hours heading south and for 6 hours heading east. If the total distance traveled was 3,370 miles, and the pla

ne traveled 45 miles per hour faster heading south, at what speed was the plane traveling east?
Mathematics
1 answer:
matrenka [14]4 years ago
7 0
We know the total distance and individual times, so we can sum and equate total distance.

Let
E=speed heading east
E+45=speed heading south
then
4(E+45)+6E=3370 miles
Solve for E:
4E+180+6E=3370
10E=3370-180=3190 mph
E=319 mph.
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4 years ago
What is the inverse of y = x+3/4 ?<br><br> a. y=x-3/4<br> b. y=4x-3<br> c. y=4x+3<br> d. y= x-3/-4
viva [34]
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3 years ago
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8 0
3 years ago
Lydia graphed ΔXYZ at the coordinates X (0, −4), Y (2, −3), and Z (2, −6). She thinks ΔXYZ is a right triangle. Is Lydia's asser
katrin [286]

Answer:

Option (4)

Step-by-step explanation:

Vertices of the triangle are X(0, -4), Y(2, -3) and Z(2, -6).

Slope of XY (m_{1}) = \frac{y-y'}{x-x'}

                            = \frac{-3+4}{2-0}

                     (m_{1}) = \frac{1}{2}

Similarly, slope of XZ (m_{2}) = \frac{-6+4}{2-0}          

                                   (m_{2}) = (-1)

m_{1}\times m_{2}=-\frac{1}{2}

Which should be (-1) if XY and XZ are perpendicular to each other.

Now we can say that XY and XZ are not perpendicular.

Therefore, Lydia's assertion that ΔXYZ is a right triangle is not correct.

Option (4) will be the answer.

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3 years ago
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