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Ilya [14]
3 years ago
12

Write down the roots of quadratic equation Ax2-bx=0

Mathematics
1 answer:
IgorC [24]3 years ago
4 0

Answer:

x = 0, x = \frac{b}{a}

Step-by-step explanation:

Given

ax² - bx = 0 ← factor out x from each term

x(ax - b) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

ax - b = 0 ⇒ ax = b ⇒ x = \frac{b}{a}

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when asked to factor the x^2 - 100, a student gives the answer (x -10) (x-10). what is wrong with this answer?
aalyn [17]

x^2-100\\\\=x^2-10^2\\\\=(x+10)(x-10)\\\\\text{The difference of two  squares formula is}~ a^2 -b^2 =(a+b)(a-b),\\\\\text{So, the student did not apply it properly}

3 0
2 years ago
Does the line passing through the points (−1,−5) and (2,1) intersect the line passing through the points (−1,−6) and (1,2)?
Serggg [28]

Answer:

Yes

Step-by-step explanation:

As long as the slopes of these two lines are not the same, they will intersect.

Given two points on a line, we can find the slope by taking the difference in the y coordinates and dividing it by the difference in the x coordinates.

Slope of 1st line: \frac{-5-1}{-1-2} =\frac{-6}{-3} =\frac{1}{2}

Slope of 2nd line: \frac{-6-2}{-1-1} =\frac{-8}{-2}=4

The slopes are not equal, therefore the lines intersect.

5 0
2 years ago
How to solve it&&&&&&&&&&&
Dimas [21]

Answer:

y = 4 and x = 12

Step-by-step explanation:

Step by step explanation in the pic. Atleast the way I did it.

8 0
2 years ago
True or False? A secant is a line or segment that passes through a point on the circle and the center of the circle.
Musya8 [376]
Thr answer is False
That line is called diameter
6 0
3 years ago
Read 2 more answers
Identify the coordinates of the vertex of f(x) = 3x2 + 12x − 8, and identify whether it is an absolute minimum or absolute maxim
DaniilM [7]

The vertex of f(x) = 3x^2 + 12x − 8 is (2,28) absolute minimum

<h3>How to determine the vertex?</h3>

The equation is given as:

f(x) = 3x^2 + 12x − 8

Differentiate the function

f'(x) = 6x + 12

Set to 0

6x + 12 = 0


Divide through by 6

x + 2 = 0

Solve for x

x = -2

Substitute x = -2 in f(x) = 3x^2 + 12x − 8

f(2) = 3 *2^2 + 12 *2 − 8

Evaluate

f(2) = 28

This means that the vertex is (2,28)

A quadratic function is represented as:

f(x) =ax^2 + bx + c

When a is positive, then the vertex of the function is an absolute minimum.

This means that f(x) = 3x^2 + 12x − 8 has an absolute minimum vertex because 3 is positive


Read more about quadratic functions at:

brainly.com/question/18797214

#SPJ1

7 0
2 years ago
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