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Serggg [28]
3 years ago
15

If two cars are 492.5 miles apart, the first car left at 1:00 at a constant rate of 55 mph and the second car left an hour later

and moving at a constant speed of 70 mph. What time will the two cars pass each other?
Mathematics
1 answer:
Mama L [17]3 years ago
8 0

Answer:

I don't know, need points

Step-by-step explanation:

Use keys on your computer maybe.

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On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).
Valentin [98]

9514 1404 393

Answer:

  (b)  x +2y = 8

Step-by-step explanation:

The only offered line that includes the given point is ...

  x +2y = 8

__

We can check the other choices:

  x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)

  2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice

_____

<em>Getting there from scratch</em>

The standard form equation for a line can be written from ...

  (y2 -y1)x -(x2 -x1)y = constant

  (-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)

  -4x -8y = constant

For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.

  x +2y = constant

The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...

 x +2y = (2) +2(3) = constant = 8

The desired line has the equation ...

  x +2y = 8

8 0
3 years ago
Read 2 more answers
You lean a 30 foot ladder against your house and it reaches exactly to the top. The ladder makes a 24 degree angle with the grou
Furkat [3]
Sin 24 = h/30 

<span>h = 30 sin 24 = 12.2 ft </span>
5 0
3 years ago
Solve for x: −1 &lt; x + 3 &lt; 5
MA_775_DIABLO [31]

Answer:

B

Step-by-step explanation:

Subtract 3 from all sides.

-4 < x < 2

6 0
3 years ago
How do you solve each system of equations?
stiv31 [10]

Answer:

x=1,y=3,z=1

Step-by-step explanation:

4x-4y+4z=-4

4x=-4+4y-4z

x=-1+y-z

Substitute  x=-1+y-z into second equation:

4\left(-1+y-z\right)+y-2z=5

-4+4y-4z+y-2z=5

5y-6z-4=5

y=\frac{6z+9}{5}

Substitute x=-1+y-z and y=\frac{6z+9}{5} into the third equation:

\frac{-41z-54}{5}+3=-16

-41z-54=-95

z=1

Substitute z=1 into y=\frac{6z+9}{5}:

y=3

Plug in y and z values into x=-1+y-z:

x=1

4 0
3 years ago
Find the area of this triangle
Dahasolnce [82]
A. 48 is the answer because 8x6
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