Answer:
x ≈ 25.1
Step-by-step explanation:
Using the sine ratio in the right triangle
sin26° =
=
( multiply both sides by x )
x × sin26° = 11 ( divide both sides by sin26° )
x =
≈ 25.1 ( to 1 dec. place )
The equation for the point-slope form is y - y1= m(x-x1), where m is the slope. Using the coordinates and slope given, y - 9 = -5(x-(-4)), which simplifies to
y - 9 = -5(x + 4)
Answer:
The equation of the line would be y = -5/2x - 1
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.
5x + 2y = 12
2y = -5x + 12
y = -5/2x + 6
Now that we have a slope of -5/2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = -5/2(x + 2)
y - 4 = -5/2x - 5
y = -5/2x - 1
Answer:
We see that the only complete time-distance pair indicates that she walked 6.4 miles in 2 hours. If she walked at a constant speed, we can conclude that girl walked 3.2 miles in 1 hour. Using this speed, we can find the remaining values in the table. The easier entry to complete is finding out how far she walked in 5 hours: 5 hours⋅3.2 miles/hour=16 miles. To find out how long it took to walk 8 hours we can either notice that 8 is half of 16, so it took half the time to walk half the distance or we can divide 8 miles by 3.2 miles per hour to find that it took 2.5 hours
Step-by-step explanation: