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trasher [3.6K]
3 years ago
10

It takes 90 pounds of seed to completely plant an 11 -acre field.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0
1.)convert into equation: 90=11x
2.)simplify and solve: x=8.18 lbs

8.18 lbs
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Find the slope of the line that passes through these two points: (- 1, 0) and (4, - 2) .
I am Lyosha [343]
Slope is vertical change over horizontal change. Since coordinates conveniently give both the horizontal and vertical coordinates of a points, we can use the coordinates of both points to differentiate, or find the change horizontally and the change vertically between the two points.
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3 years ago
Consider the equation 5x^2-10x+c=0. What values of c result in the equation having a complex solutions? Represent your answer on
stiv31 [10]

Answer:

When we have a quadratic equation:

a*x^2 + b*x + c = 0

There is something called the determinant, and this is:

D = b^2 - 4*a*c

If D < 0, then the we will have complex solutions.

In our case, we have

5*x^2 - 10*x + c = 0

Then the determinant is:

D = (-10)^2 - 4*5*c = 100 - 4*5*c

And we want this to be smaller than zero, then let's find the value of c such that the determinant is exactly zero:

D = 0 = 100 - 4*5*c

    4*5*c = 100  

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            c = 100/20 = 5

As c is multiplicating the negative term in the equation, if c increases, then we will have that D < 0.

This means that c must be larger than 5 if we want to have complex solutions,

c > 5.

I can not represent this in your number line, but this would be represented with a white dot in the five, that extends infinitely to the right, something like the image below:

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The radius of the larger circle is 10 cm. The radius of the smaller circle is 3 cm. What is the approximate area of the shaded r
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The quotient of 9.2 x 10 6 and 2.3 x 10 2 expressed in scientific notation is
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What we know:
quotient 9.2 x 10^6/ 2.3 x 10²
in quotients exponents are subtracted of they have the same base, for example 10^6 and 10² have the same base of 10

What we need to find: quotient 9.2 x 10^6/ 2.3 x 10²
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Here in this problem I divided 9.2 by 2.3 and got 4, since the solution was simple and clean meaning no repeated decimals I went ahead and divided the 10^6 by 10^2 and got 10^4.


Another method would be to expand both numbers then divide and do scientific notation again.
Remember to change to normal notation you move the decimal to the right using the number of the exponent.

9.2 x 10^6= 9200000
2.3 x 10²= 230

920000/230=40000

40000= 4 x 10^4 scientific notation

Use the method that is best for you or just know you can use either method to check your work.

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At high noon, you can feel warm air coming from inland. During noon, especially in spring and summer, the radiation caused by the Sun warms the land surface more compared to the sea surface. This is because heat is directly applied on the land surface compared to the ocean.

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