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katrin2010 [14]

2 years ago

6

The product of a number and the number decreased by 4 is 60. write a quadratic equation that models the verbal sentence. let n r

epresent the number find the number

1 answer:

USPshnik [31]2 years ago

6 0

Answer:

n = 2 + (60/2)

Step-by-step explanation:

You might be interested in

Which are the solutions of x^2 = –11x + 4?

strojnjashka [21]

This is a quadratic equation, i.e. an equation involving a polynomial of degree 2. To solve them, you must rearrange them first, so that all terms are on the same side, so we get

$x^2 + 11x - 4 = 0$

i.e. now we're looking for the roots of the polynomial. To find them, we can use the following formula:

$x_{1,2} = \frac{-b\pm\sqrt{b^2-4ac}}{2}$

where $x_{1,2}$ is a compact way to indicate both solutions $x_1$ and $x_2$ , while $a,b,c$ are the coefficients of the quadratic equation, i.e. we consider the polynomial $ax^2+bx+c$ .

So, in your case, we have $a=1,\ \ b=11,\ \ c=-4$

Plug those values into the formula to get

$x_{1,2} = \frac{-11\pm\sqrt{121+16}}{2} = \frac{-11\pm\sqrt{137}}{2}$

So, the two solutions are

$x_1 = \frac{-11+\sqrt{137}}{2}$

$x_2 = \frac{-11-\sqrt{137}}{2}$

3 0

3 years ago

A hemisphere fake stone made of clay has a diameter of 16 inches. The density of clay is 0.0035 pounds per cubic inch. The clay

Rufina [12.5K]

Answer:

$137.82

Step-by-step explanation:

The volume of a hemisphere stone is given by the volume of a half-sphere:

Volume = (2/3) * pi * radius^3

If the diameter is 16 inches, the radius is 16/2 = 8 inches, so the volume is:

Volume = (2/3) * pi * 8^3 = 1072.33 in3

We need a total of 8 stones, so the total volume is:

Total Volume = 8 * 1072.33 = 8578.64 in3

The density of clay is 0.0035 pounds per cubic inch, so the total weight of the 8 stones is:

Weight = Total Volume * density = 8578.63 * 0.0035 = 30.0252 pounds

Finally, if the price of each pound of clay if $4,59, the final price is:

Price = 30.0252 * 4.59 = $137.82

8 0

3 years ago

The measure of the second angle of a triangle is twice as large as the measure of the first measure of the third angle is 30° le

Alex777 [14]

Applying the triangle sum theorem, we have:

First angle measure = 35°

Second angle = 70°

Third angle = 75°

<h3>What is the Triangle Sum Theorem?</h3>

According to the triangle sum theorem, all angles in a triangle will give a sum of 180 degrees.

First angle measure = x

Second angle = 2x

Third angle = (2x + x) - 30 = 3x - 30

x + 2x + 3x - 30 = 180 [triangle sum theorem]

6x - 30 = 180

6x = 180 + 30

6x = 210

x = 210/6

x = 35

First angle measure = x = 35°

Second angle = 2x = 2(35) = 70°

Third angle = 3x - 30 = 3(35) - 30 = 75°

Learn more about the triangle sum theorem on:

brainly.com/question/7696843

#SPJ1

4 0

1 year ago

In a circle, area and circumference can be found using the formulas A=(pi)r^2 and C=2(pi)r, respectively, Write a formula for A

AURORKA [14]

Answer:

$A = \dfrac{C^2}{4\pi}$

Step-by-step explanation:

Given that

Area of a circle $A=\pi r^2$

Circumference of the circle $C = 2 \pi r$

Let us re-write the equation of area of circle:

$A=\pi r^2$

$A = \pi \times r \times r$

Multiplying and dividing with 2:

$A = \dfrac{2\pi r}{2} \times r\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C}{2} \times r\\\text{Multiplying and dividing by } 2\pi:\\\Rightarrow A = \dfrac{C}{2} \times \dfrac{2\pi r}{2\pi}\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C \times C}{4 \pi}\\\Rightarrow A = \dfrac{C^2}{4 \pi}$

Hence, <em>A</em> in terms of <em>C</em> can be represented as:

$A = \dfrac{C^2}{4\pi}$

4 0

3 years ago

Subtract. <br> 7x-(3+5x) pleaz

mario62 [17]

7x - 3 - 5x = 2x - 3

8 0

3 years ago