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Mekhanik [1.2K]
3 years ago
6

4y - 5x = 9 x = 4y + 11

Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0

4y - 5x = 9

x = 4y + 11

We can substitute this value of x in the first equation:

4y - 5(4y+11) = 9

4y - 20y - 55 = 9

16y = -64

y = -4

x = 4y + 11

x = -16 + 11

x = -5

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3 years ago
Evaluate the discriminant of -3x2+5-4=0
krok68 [10]

Answer:

-23

Step-by-step explanation:

A quadratic equation is given to us and we are interested in finding the discriminant of the quadratic equation . As we know that ,

If the quadratic equation is in Standard form ,

\sf\longrightarrow ax^2+bx + c = 0

The discriminant is ,

\sf\longrightarrow D = b^2-4ac

The given quadratic equation is ,

\sf\longrightarrow -3x^2 +5x - 4 = 0

On comparing it with the Standard form , we have ,

  • a = (-3)
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  • c = (-4)

So that ,

\sf\longrightarrow D = (5)^2 - 4(-3)(-4)\\

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\sf\longrightarrow \bf D = -23

Also note that if D < 0 , then the roots are complex conjugates .

<h3>Hence the discriminant is (-23).</h3>

5 0
2 years ago
I need help with algebra
aalyn [17]
To find the equation of a line using two coordinate points, use the slope intercept formula, (y2-y1)/(x2-x1). Using this formula, plug in your values from the two coordinates (-5, -5) and (1, -3). This would look like this:
(-3-(-5))/(1-(-5))
When simplified, you should get 2/6 or 1/3 as your slope or m value. Now that you have your slope, now use your slope intercept equation y=mx+b and plug in your known values. Since you know the m value is 1/3 and you can use one of your set of points to plug into the x and y values, you can plug in these values and solve for b (the coordinate you use doesn't matter but I'm just using the (1,-3)). This would look like this:
-3=1/3(1)+b

When you simplify, you should get -3=1/3+b and when you subtract both sides by 1/3, you should get b=-10/3.

Now that you have your m and b values, you can conclude that your equation for the line would be y=1/3x-10/3



7 0
4 years ago
84,896 to the nearest ten thousand
never [62]

The answer would be 80,000.

3 0
3 years ago
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