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inessss [21]
3 years ago
7

If x to the first power is a line, and you multiply two lines together, what do you get? Think of the the exponent.

Mathematics
2 answers:
GREYUIT [131]3 years ago
8 0

Answer: A quadratic equation (also called a parabola)

Step-by-step explanation:

A line can be written as:

f(x) = a*x + c

This is a polynomial with degree 1.

Now, of we have two lines:

f(x) = a*x + c

and:

g(x) = d*x + e

And we multiply them, we will get:

f(x)*g(x) = (a*x + c)*(d*x + e) = a*d*x^2 + a*e*x + c*d*x + c*e

We can rewrite this as:

                                           = (a*d)*x^2 + (a*e + c*d)*x + (c*e)

This is a polynomial of degree = 2, this is a quadratic equation, then if you multiply two lines together, you get a quadratic equation (or a parabola)

Yakvenalex [24]3 years ago
6 0

Answer:

ax^2+ bx + c

Step-by-step explanation:

I get a parabola, that is, an equation of the second degree

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If x = –3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the e
natita [175]

Equations don't really have x intercepts, functions or curves do. They're also known as the zeros of the function.  When we set a function equal to zero we get an equation to solve, and the zeros of the function become the solutions or roots of the equation.

If a quadratic equation only has one root, that's a repeated root corresponding to a discriminant of zero.

In this example our equation is something like 2(x+3)^2=0, or expanded

2x^2+12x + 18 = 0

The discriminant d=b^2-4ac here is

d = 12^2 - 4(2)(18) = 0 \quad\checkmark


7 0
3 years ago
Sound travels through sea water at a speed of about 1500 meters per second. At this rate, how far will sound travel in 2 minutes
Mariulka [41]

Answer:

180,000 m

Step-by-step explanation:

There are 60 seconds in a minute, so:

2 min × 60 s/min = 120 s

Distance = rate × time

d = 1500 m/s × 120 s

d = 180,000 m

8 0
3 years ago
Say if the Earth rotates 1.25 degrees in 5 mintues. But a classmate wants to find out how many degrees the Earth can rotate in 2
givi [52]

Her error was dividing them by 2 she would place 1.25 over 5 then divide by 5 to get the unit rate per minute then multiply the quotient by 2 to get the rate of degrees moved for 2 minutes which is .5  or .50 degrees every two minutes.

4 0
3 years ago
What is the slope of the line that passes through the points (2, 3) and (8, 6)
nadezda [96]

Answer:

The slope of the line that passes through the points (2, 3) and (8, 6) is \frac{1}{2}.

Step-by-step explanation:

To find the slope of two points, divide the difference between the y values by the difference between x values, you can remember this by the mnenomic "rise over run". In this case, the difference between y and x values would be 6 - 3 = 3 and 8 - 2 = 6 respectively. This means the slope between the two points (2, 3) and (8, 6) is \frac{3}{6} or \frac{1}{2}.

3 0
2 years ago
Can anybody help me please
Sliva [168]

Hello, your answer would be (-5, 5)

3 0
3 years ago
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