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slega [8]
3 years ago
8

Consider the line 6x-7y = 7.

Mathematics
1 answer:
Maurinko [17]3 years ago
8 0

Answer:

Consider the line 6x-7y = 7.

What is the slope of a line parallel to this line?

What is the slope of a line perpendicular to this line?

Step-by-step explanation:

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Ben and Josh went to the roof of their 40-foot tall high school to throw their math books off the edge.
krok68 [10]

Answer:

  • Josh's book lands first
  • Ben's lands about 0.648 seconds later

Step-by-step explanation:

Using the given equation for v=60 and s=40, the height of Ben's book is ...

  h(t) = -16t² +60t +40

We want to find t when h(t) = 0, so we're looking for the solution to ....

  0 = -16t² +60t +40

Using the quadratic formula, we find the positive value of t to be ...

  t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277

__

Similarly, the height of Josh's book is ...

  0 = -16t² +48t +40

  t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794

__

The time before Josh's book lands is shorter by ...

  4.3277 -3.6794 ≈ 0.6482 . . . . . seconds

Josh's book reaches the ground first, by about 0.648 seconds.

3 0
3 years ago
matthew drove 252 miles to his familys vacation spot his father drove twice as many miles and then thy arrived at their hotel ho
soldi70 [24.7K]
I’m not sure if it’s right but this is what i got

252
252x2 =504
504+252
756 miles?
7 0
2 years ago
Help please!!!!!!!!!
Triss [41]
The answer is -4, hope this helped
8 0
3 years ago
An airplane pilot over the Pacific sights an atoll at an angle of depression of 10°. At this time, the horizontal distance from
Alex17521 [72]
The question was posted incomplete.

This is the part missing:

<span>What is the height of the plane to the nearest meter?

Answer:  559 m.

Explanation:

1) The horizontal distance between the plane and tha atoll makes a right triangle with the height, with the depression angle between the two legs.

2) Therefore, you can use the tangent trigonometric ratio:

tan(10°) = opposite-leg / adyacent-leg = height / horizontal distance

⇒ height = horizontal distance × tan (10°)

⇒ height = 3,172 m × tan(10°) = 559.31 m, which rounded to the nearest m is 559
</span>
6 0
3 years ago
A right triangle has a leg b of length 7 and a hypotenuse of length 11 what is the length of the other leg a?
N76 [4]
A^2 + b^2 = c^2
a^2 + 7^2 = 11^2
49= 121
121 - 49 = 72

Square root(72) = 8.49
or you can just keep the square root symbol with 72 under it
6 0
4 years ago
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