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maks197457 [2]
3 years ago
14

What is the solution to the system of equations below?

Mathematics
1 answer:
Natali [406]3 years ago
6 0

\left\{\begin{array}{ccc}y=-3x+5\\y=4x-2\end{array}\right\Rightarrow4x-2=-3x+5\\\\4x-2=-3x+5\ \ \ |+2\\\\4x=-3x+7\ \ \ |+3x\\\\7x=7\ \ \ \ |:7\\\boxed{x=1}\\\text{substitute the value of x to the first equation}\\y=-3(1)+5=-3+5=2\to\boxed{y=2}\\\\Answer:\ x=1;\ y=2\to(1;\ 2)

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This pentagonal right pyramid has a base area of 30 m. 5 m 7 m 8 m What is the volume of the figure?​
arsen [322]

Answer: 50

Step-by-step explanation: V= 1/3 x base x height

V= 1/3 (30)(5)

V=1/3(150)

V=50

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3 years ago
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What is the inverse of the function f(x) = 4x - 12
tensa zangetsu [6.8K]

Answer:

y=x+12/4

Step-by-step explanation:

y=4x-12

x=4y-12 (then make y the subject)

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Graph a line that contains the point (-5,-3) and has a slope of -2
Tpy6a [65]

Answer:

-->

Step-by-step explanation:

Graph (-5,-3) and use the slope, -2, to find another point. -2 can also be written as -\frac{2}{1}

\frac{rise}{run} =\frac{-2}{1} and  \frac{rise}{run} =\frac{2}{-1} **

Use both. This works because either way, they will lie on the same line with the same slope. So, starting at (-5,-3), go down two points (-)* and to the left 1 (+)*, then, starting at (-5,-3) again, go up two points (+)* then to the right 1 point (-)*.

* If the number is negative, you either go down or to the right. If the number is positive, you go up and to the left.

**Rise over run refers to the change in the y-axis and the change in the x-axis: \frac{rise}{run} =\frac{y-axis}{x-axis}. Only one number is negative because, if both were negative, that would make a positive number, but the slope is -2, not 2.

Another way you could do this is by finding points first. All you need to do is turn the slope into a "point". Remember, 2 is the y and 1 is the x:

-2=-\frac{2}{1} = (1,-2) and (-1,2)

Then, using (-5,-3) and your new points, add them separately:

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(-4,-5) is one point

(-5,-3)+(-1,2)\\(-5+(-1),-3+2)\\(-5-1,-3+2)\\(-6,-1)

(-6,-1) is another point. Connect the three points. You can check your work on the graph:

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3 years ago
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All three is correct
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