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4 years ago

Write an equation of the line passing through the given point (3, -6) and having the given

Mathematics

1 answer:

MrRa [10]4 years ago

4 0

Answer:

y= -9x +21

Step-by-step explanation:

eqn is:

y-(-6) = -9 * (x-3)

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Which are the solutions of the quadratic equation x^2=-5x-3

frutty [35]

The correct answer would be $\frac{-5 +/- \sqrt{13} }{2}$

In order to solve for this you must first get the equation equal to 0.

x^2=-5x-3 ----> add 5x to both sides.
x^2 + 5x = -3 ----> add 3 to both sides.
x^2 + 5x + 3 = 0

Now knowing this we can use the coefficients of each one in descending order of power as a, b and c.

a = 1 (because it is the coefficient to x^2)
b = 5 (because it is the coefficient to x)
c = 3 (because it is the end number)

Now we can plug these values into the quadratic equation.

$\frac{-b +/- \sqrt{b^{2} - 4ac } }{2a}$

$\frac{-5 +/- \sqrt{5^{2} - 4(3)(1) } }{2(1)}$

$\frac{-5 +/- \sqrt{13} }{2}$

And those would be your two answers.

5 0

4 years ago

A quart of paint covers about 85 square feet. About how many quarts would you need to cover a fence with an area of 3,817 square

Vikentia [17]

Answer:

you would need 45 quarts of paint

Step-by-step explanation:

if you divide 3,817 by 85 you would get 44.905882 but you need to only use whole number and if you chose 44 you would not have enough so you would round up to 45

6 0

3 years ago

Which of the following equations is equivalent to y=logx?

ElenaW [278]

Remember
$log_xn=y$ means $x^y=n$

so
assuming that when no base is stated, the base is 10
y=logx means
$y^{10}=x$

answer is A

8 0

3 years ago

Read 2 more answers

Describe the three base materials in soil in terms of porosity and permeability.

777dan777 [17]

Porosity:

Porosity is an intrinsic property of every material.
It refers to the amount of empty space within a given material.
In a soil or rock the porosity (empty space) exists between the grains of minerals.
The amount of water a material can hold is directly related to the porosity since water will try and fill the empty spaces in a material.
We measure porosity by the percentage of empty space that exists within a particular porous media.

Permeability:

Permeability is another intrinsic property of all materials and is closely related to porosity.
Permeability refers to how connected pore spaces are to one another.
If the material has high permeability than pore spaces are connected to one another allowing water to flow from one to another, however, if there is low permeability then the pore spaces are isolated and water is trapped within them.

7 0

3 years ago

Find the dimensions of a rectangle with perimeter 108 m whose area is as large as possible. (If both values are the same number,

V125BC [204]

Answer:

27 by 27

Step-by-step explanation:

Let the sides be x and y. The problem is essentially asking:

Given 2(x+y)=108, maximize xy.

We know that x+y=54. By the Arithmetic Mean - Geometric Mean inequality, we can see that $\frac{x+y}{2} \ge \sqrt{xy$ . Substituting in x+y=54, we get $27\ge\sqrt{xy}$ , meaning that $729 \ge xy$ . Equality will only be obtained when x=y (in this case it will generate the maximum for xy), so setting x = y, we can see that x = y = 27. Hence, 27 is the answer you are looking for.

5 0

3 years ago