For the following system, subtract the second equation from the first equation.

Mathematics

1 answer:

schepotkina [342]3 years ago

5 0

Here we multiply the 2nd eqation with -1 and then add both
and answer is
-6y=12

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An airplane is ascending at a constant rate of 15 feet per second what is the change in altitude during 10 minutes of flight

fenix001 [56]

Answer:

9000 ft

Step-by-step explanation:

Given: A airplane is ascending at a constant rate of 15 feet per second,

What we need to know: The change in altitude during 10 minutes of flight,

60 seconds = 1 minute

60 × 10

= 600 seconds

600 × 15

= 9000 ft

Therefore there was a 9000 ft change in altitude during the 10 minutes of the flight.

6 0

2 years ago

A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = y equals negative StartFractio

Natali5045456 [20]

Answer:

y=-\frac{5}{3} x+\frac{10}{3} or what is the same: $5x+3y=10$

Step-by-step explanation:

First we find the slope of the line that goes through the points (-4,10) and (-1,5) using the slope formula: $slope=\frac{10-5}{-4-(-1)} =\frac{5}{-3} =-\frac{5}{3}$

Now we use this slope in the general form of the slope- y_intercept of a line:

$y=-\frac{5}{3} x+b$

We can determine the parameter "b" by requesting the condition that the line has to go through the given points, and we can use one of them to solve for "b" (for example requesting that the point (-1,5) is on the line:

$y=-\frac{5}{3} x+b\\5=-\frac{5}{3} (-1)+b\\5=\frac{5}{3}+b\\5-\frac{5}{3}=b\\b=\frac{10}{3}$

Therefore, the equation of the line in slope y_intercept form is:

$y=-\frac{5}{3} x+\frac{10}{3}$

Notice that this equation can also be written in an equivalent form by multiplying both sides of the equal sign by "3", which allows us to write it without denominators:

$y=-\frac{5}{3} x+\frac{10}{3}\\3*y=(-\frac{5}{3} x+\frac{10}{3})*3\\3y=-5x+10\\5x+3y=10$