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Mrac [35]
3 years ago
8

What is the answer ?

Mathematics
1 answer:
AleksandrR [38]3 years ago
5 0

In 2 hours, the train will cover 120 miles, in 4 hours, the train will cover 240 miles. The train covered 120 more miles in 4 hours than it did in 2 hours.

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Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If
pav-90 [236]

Answer:

Second option: One solution. Independent.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Since the equations of the system have this form, we know that they are lines.

We can identify that the y-intercept of the first equation y=-5x+1 is:

b=1

Now we need to find the x-intercept. Substitute y=0 and solve for "x":

0=-5x+1\\\\5x=1\\\\x=\frac{1}{5}=0.2

Then, we can graph the first line which passess through the points (0,1) and (0.2,0). Observe the graph attached.

The y-intercept of the second equation y=-2x-2 is:

b=-2

Now we need to find the x-intercept. Substitute y=0 and solve for "x":

0=-2x-2\\\\2x=-2\\\\x=\frac{-2}{2}=-1

Then, we can graph the second line, which passess through the points (0,-2) and (-1,0).

You can observe in the graph that the lines intersect at the point (1,-4). Therefore, that point is the solution of the system of equations.

Since the lines intersect, then there is one solution that is true for both equations. It is independent

4 0
3 years ago
5x+2y=-10<br> -3x - 2y=6<br> Solve by elimination I’m confused
Firdavs [7]
The answer is
x=-2 y=0
5 0
3 years ago
Which point lies on a circle with a radius of 5 units and center at P(6, 1)?
guapka [62]

Answer:

B.

R (2,4)

soln

center(h,k)=(6,1)

radius (r)=5units

so

eqn of circle is (x-6)^2+(y-1)^2=5^2

2 2

or, 25=x +y -12x-2y+36+1 now , only the given point (6,1)satisfies the eqn so this point lies on circle

3 0
3 years ago
Read 2 more answers
81538 ÷ 42 = _______ ( Round to four decimal places as needed) ASAP​
AfilCa [17]

Answer:

1,941.381

Step-by-step explanation: Original answer is 1,941.38095

By rounding to the fourth decimal place = 1,941.381

4 0
3 years ago
What is the average rate of change from x = −3 to x = −4?
Vika [28.1K]

Answer:

-2

Step-by-step explanation:

Since it would be immensely helpful to know the equation of this parabola, we need to figure it out before we can continue.  We have the work form of a positive upwards-opening parabola as

y=a(x-h)^2+k

where a is the leading coefficient that determines the steepness of lack thereof of the parabola, x and y are coordinates of a point on the graph, and h and k are the coordinates of the vertex.  We know the vertex: V(-3, -3), and it looks like the graph goes through the point P(-2, -1).  Now we will fill in the work form equation and solve for a:

-1=a(-2-(-3))^2-3

which simplifies a bit to

-1=a(1)^2-3

and

-1 = a(1) - 3.  Therefore, a = 2 and our parabola is

y=2(x+3)^2-3

Now that know the equation, we can find the value of y when x = -3 (which is already given in the vertex) and the value of y when x = -4.  Do this by subbing in the values of x one at a time to find y.  When x = -3, y = -3 so the coordinate of that point (aka the vertex) is (-3, -3).  When x = -4, y = -1 so the coordinate of that point is (-4, -1).  The average rate of change between those 2 points is also the slope of the line between those 2 points, so we will use the slope formula to find it:

m=\frac{-1-(-3)}{-4-(-3)} =\frac{2}{-1}=-2

And there you have it!  I'm very surprised that this question sat unanswered for so very long!  I'm sorry I didn't see it earlier!

5 0
3 years ago
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