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kaheart [24]
3 years ago
9

I just need help on this problem please. Thanks :)

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0
All of them are the correct answer.
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Given the quadratic equation ax²-5b+4a=0, where a and b are constants has two real an equal roots,find a:b​
sergiy2304 [10]

Answer:

Therefore either a:b = 5:4 or a:b=-5:4

Step-by-step explanation:

ax²-5bx+4a=0

Since the quadratic equation has two real root.

Then b²-4ac>0

Here a= a , b= -5b and c=4a

∴(-5b)²-4.a.4a=0

⇔25b²=16a²

⇔5b=±4a

\Leftrightarrow \frac{a}{b} =\pm\frac{5}{4}

Therefore either a:b = 5:4 or a:b=-5:4

5 0
3 years ago
How many solutions does the linear system 3×+5y=8 and 3×+5y=1have ​
MrRa [10]

Answer:

No solution

Step-by-step explanation:

When put in a graphing calculator, the lines are parallel and will never intersect, therefore there is no solution.

3 0
3 years ago
What is true when a system of equations has no solution?
ValentinkaMS [17]

Answer:

D. This is impossible

Step-by-step explanation:

In math, when you solve an answer and you’re given no solution, it means that whatever equation you just did cannot be solved, and is therefore, impossible; there is no answer.

Side note: If you have any further questions feel free to let me know.

5 0
1 year ago
20pts<br><br> Divide algebraic fraction pls<br><br><br> 12a2/18b2÷4a/3b
KonstantinChe [14]

Answer:

3a/6b

Step-by-step explanation:

12a^2/4a

= 12/4 * a^2/a

= 3a

18b^2/3b

= 18/3 * b^2/b

= 6b

Hence, the answer is 3a/6b.

Hope this helped!

5 0
3 years ago
Which equation describes a line with a slope of -8 and includes the point (-4, 7)?
timurjin [86]
Such an equation would be y + 8x = - 25 (standard form) OR y = -8x - 25 (y-intercept form)
 
Deriving The Answer:

By using the point-slope form of the equation of a line, by knowing the gradient of that line and a point on that line, the equation of this line can be derived.

Now, the point-slope form exists as y - y₁ = m ( x - x₁)

since slope = -8 and the point on the line = (-4 , 7)

Then m = - 8
          x₁ = - 4
          y₁ =  7
                              ⇒  y - 7 = -8 ( x - (-4))

                              ⇒ y - 7 = -8x - 32

                              ⇒ y + 8x = - 25
                   


3 0
3 years ago
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