Solve the system using elimination. y – x = 13 7y + x = 11

Final answer:

To convert square feet to square meters, we multiply the number of square feet (1,420) by the conversion factor (0.092903), resulting in approximately 132 square meters as the area of the house.

Explanation:

To convert the area of a house from square feet to square meters, we use the conversion factor where 1 square foot equals 0.092903 square meters. The house in question has 1,420 square feet, so we multiply this number by the conversion factor to find the area in square meters.a

1,420 square feet  * 0.092903 square meters/square foot = 131.92186 square meters.

We can round the final result to the nearest whole number, which gives us approximately 132 square meters as the area of the house.

The only positive number that is the same as its reciprocal is 1. This is achieved by setting up the equation x = 1/x and solving it.

In mathematics, a number and its reciprocal are the same when the number is 1. If you denote the mysterious number we are looking for as 'x', then its reciprocal would be 1/x. Since the number and its reciprocal are the same, we can set up the equation x = 1/x. Solving this equation, we cross multiply to get x^2 = 1. The positive solution to this equation is x = 1, which confirms that the only positive number that is the same as its reciprocal is 1.

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Answer:

9/4 on edg

Step-by-step explanation:

Final answer:

To form a perfect square trinomial from x² + 3x + c, we find c by taking half of 3, squaring it, which gives us 9/4. Hence, the value of c is 9/4, making x² + 3x + 9/4 a perfect square trinomial.

Explanation:

To form a perfect square trinomial in the process of completing the square, you need to find the value of c that completes the square for the given quadratic expression x² + 3x + c. The process involves taking half of the coefficient of x, squaring it, and adding it as the constant term c.

Given that the coefficient of x is 3, we take half of it, which is 3/2, and then square this value to get (3/2)² = 9/4. Therefore, the value of c that makes x² + 3x + c a perfect square trinomial is 9/4.

This method is very helpful in solving quadratic equations by completing the square, and it forms a basis for the derivation of the quadratic formula.

Answer:

It is still 3.

Step-by-step explanation:

We only translated it, so we just moved it over to the side. Translating cannot take away length.

Answer:

The produced parts average each day were 370.75.

Step-by-step explanation:

We have to find the average of parts produced by day, to calculate it we have sum all the parts produced by day and divide it by the number of days (4 days). In the equation we have:

[tex]Average=\frac{345+298+452+388}{4}=\frac{1483}{4}=370.75[/tex]

The produced parts average each day were 370.75.

The next step is to use the compass to find the perpendicular bisector for side DF. Option B

The steps include;

Thus, the next step is to use the compass to find the perpendicular bisector for side DF. Option B

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We can solve this problem by first solving for the total volume of the cube. The formula for volume of cube is given as:

V cube = s^3

Where s is the length of one side which is equivalent to 2 inches. Therefore:

V cube = (2 inches)^3

V cube = 8 cubic inch

Assuming that all the pebble fills the cube without any spaces, then the total weight of the pebbles in the cube would simply be:

Total weight = 0.5 lb per cubic inch * 8 cubic inch

Total weight = 4 lb

Therefore, the total weight of the pebbles in the cube is 4 lbs.

The words that came from the same ancestral language and originated from the same word are called COGNATE WORDS.

In the historical linguistics tree model, a protolanguage is a hypothetical ancestral language from which several documented languages are thought to have evolved, constituting a language family. In most cases, protolanguages are unattested or, at most, only partially attested.

The languages of Norway, Sweden, Denmark, and Iceland descend from Old Norse. Numerous Indian languages, including Bengali, Hindi, Marathi, and Urdu, have their roots in Sanskrit. Each of these ancestral languages had a single common progenitor further back in time.

The term "cognates" in linguistics refers to words with the same etymological background. These are words that have the same pronunciation, spelling, and meaning in two different languages. For instance, Spanish has many words that are similar to English words.

Therefore, Words that came from the same ancestral language and originated from the same word are called COGNATE WORDS.

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Answer: 5.7

I just did the test and got it correct

The discriminant of [tex]3x^2-10x=-2[/tex] is 76

To find the discriminant of [tex]3x^2-10x=-2[/tex], we have to recall the quadratic formula.

The formula of the quadratic equation can be expressed as [tex]ax^2+bx+c=0[/tex] and discriminant also expressed as [tex]D=b^2-4ac[/tex]

Using the quadratic formula, the given question can be expressed as:

[tex]3x^2-10x+2=0[/tex]

Where a = 3, b = -10, and c = 2

If we substitute the values, then the discriminant would be:

Recall the discriminant is [tex]D=b^2-4ac[/tex]

Therefore, we have

[tex]D=(-10)^2-4(3)(2)[/tex]

[tex]D=100-24[/tex]

[tex]D=76[/tex]

Thus, the discriminant of [tex]3x^2-10x=-2[/tex] is 76.

Discriminant is very helpful in quadratic equation as it helps reveals the number of real solutions to a given quadratic equation. In other words, it helps you to solve quadratic equation.  

While discriminant only tells only reveals the number of real solutions, it doesn’t reveal what the solutions are. The determinant would only give you hint as regards the number of real solution to look for.

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Answer:

3/2x+3

Step-by-step explanation:

To solve this problem, let us first remember that the formula for rate is:

rate = f (n) = A (r)^(n-1)

Where,

A = the 1st term

r = fractional rate of evaporation

n = number of terms

Now let us calculate for the fraction rate of evaporation, r. Since it is stated that the evaporation is happening at a fixed rate, therefore we can use any two given f (n) values to find for r. In this case, let us use when n=1 and 2.

r = 27 / 54

r = 0.5

The first term in the series is when n = 1 and that is:

A = 54

Therefore substituting all known values to the equation:

f (n) = 54 (0.5)^(n-1)                       (ANSWER)

Answer:

Step-by-step explanation: