The sum of two numbers is 46 and the difference is 12 what are the numbers?

Answer:

the answer is 1

hpoe this helps

The regular polygon with an interior angle of 140 degrees has 9 sides. This conclusion can be reached by using the formula for the interior angle of a polygon, which is (n-2)*180/n, where 'n' represents the number of sides.

The number of sides in a regular polygon can be determined using the formula for the interior angle of a polygon, which is (n-2)*180/n, where 'n' represents the number of sides. This formula comes from the fact that a polygon can be divided into (n-2) triangles, each of which has angles summing up to 180 degrees.

In this particular case, an interior angle of 140 degrees is given. So we will set up an equation: 140 = (n-2)*180/n. Solving for 'n', we get a value of 9.

Therefore, the regular polygon with an interior angle of 140 degrees has 9 sides.

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The distance Margarita covers in [tex]\( \frac{s-5}{4} \)[/tex]hours is  [tex]\( \frac{1}{4} \)[/tex] miles.

Given that Margarita is driving at the speed of [tex]\( \frac{s-4}{s^2 - 9s + 20} \)[/tex] miles per hour, we can express the distance function as:

[tex]\[ d(s) = \text{speed} \times \text{time} = \left( \frac{s-4}{s^2 - 9s + 20} \right) \times s \][/tex]

[tex]\[ d\left(\frac{s-5}{4}\right) = \left( \frac{s-4}{s^2 - 9s + 20} \right) \times \frac{s-5}{4} \][/tex]

Let's simplify this expression:

[tex]\[ d\left(\frac{s-5}{4}\right) = \frac{(s-4)(s-5)}{4(s^2 - 9s + 20)} \][/tex]

[tex]\[ d\left(\frac{s-5}{4}\right) = \frac{s^2 - 9s + 20}{4(s^2 - 9s + 20)} \][/tex]

[tex]\[ d\left(\frac{s-5}{4}\right) = \frac{1}{4} \][/tex]

Answer:

x = 5

Step-by-step explanation:

We need to remember that vertical angles are opposite to each other when two lines cross. The vertical angles that result from two lines crossing have the same measure.

In this problem we have angle E which measures 8x + 8 and angle F which measure 2x + 38.

Since they are vertical angles, we know that they have the same measure and therefore we can equal them both and solve for x:

[tex]8x+8=2x+38\\8x-2x=38-8\\6x=30\\x=5[/tex]

Therefore, x = 5 (and ∠E = ∠F = 48)

4 = 3/4m -6

 add 6 to both sides

10 = 3/4m

 divide both sides by 3/4

m = 10 / 3/4 =  10 *4 = 40 /3 = 13 1/3

I used associative property  and the product of 20 x 9 x 5 is 900.

"The associative property states that when an expression has three terms, they can be grouped in any way to solve that expression. The grouping of numbers will never change the result of their operation. The associative property is true for the cases of addition and multiplication. Neither the sum nor the product of the expression changes."

For the given product of 20 x 9 x 5

I am using the associative property.

(20 x 9) x 5 = 900

First multiply 20 x 9, which gives 180

(180) x 5 = 900

Next multiply 180 x 5, which gives 900.

Hence, I used associative property  and the product of 20 x 9 x 5 is 900.

Learn more about associative property here

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Answer:

Find out the what percentage discount is seller offering you .

To prove

Formula

[tex]Discouunt\ percentage = \frac{Discount\times 100}{Marked\ price}[/tex]

Discount = Marked price - Selling price

As given

You are offered an item for $17.85. If the seller states he normally sells the same item for $19.95 .

Here

Marked price = $19.95

Selling price = $17.85

Discount = 19.95 - 17.85

               = $2.1

Put in the formula

[tex]Discouunt\ percentage = \frac{2.1\times 100}{19.95}[/tex]

[tex]Discouunt\ percentage = \frac{210}{19.95}[/tex]

Discount percentage = 10.5% (Approx)

Therefore the discount is seller offering you is 10.5 % .

The quotient and remainder for the provided polynomial divisions are as follows: 1) 2x^2−9x−44, 2) x^2−2x+4+1/x+2, 3) Remainder 1, 4) Remainder 0.

The process of dividing polynomials is similar to the long division method used in arithmetic. For your first question, the result of dividing 2x^3−3x^2−17x+30 by x + 3 comes out to be 2x^2−9x−44.

For the second question, when x^3−7 is divided by x + 2, the result is x^2−2x+4+1/x+2.

Coming to your third question, when the polynomial 6x^2+11x−3 is divided by 2x−1, the remainder is 1.

Lastly, when the polynomial 5x^2+10x−15 is divided by x + 5, the remainder is 0.

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The distance formula is simply a variation of the theorem. The method is the same with the Pythagorean however we are now dealing with 2 sets of points instead of 2 lengths. 

In the distance formula, the lengths are derived from the (x1,y1)->(x2,y2) coordinate points and the formula simplified. We still square the difference of x’s and difference of y’s to get our two squares then square root the sum to give our length. While the Pythagorean theorem is directly the sum of the square of the other two sides. 

Nevertheless, both formulas work on the same principle.

Answer:

Both formulas can be used to find the distance between two points on the coordinate plane. The vertical leg of the right triangle represents the difference in the y values of the two points. The horizontal leg of the right triangle represents the difference in the x values of the two points. The hypotenuse of the right triangle represents the distance between the two points.

Step-by-step explanation:

x = 3 weeks

Growth: 5(2)(3) = 30 flies in 3 weeks

eaten: 3(3) +2 = 9+2 =11 flies eaten in 3 weeks

30-11 = 19 flies ( population after 3 weeks)