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3 years ago

The length of a football field including the end zones is 48 feet longer than four times the length of a tennis

Mathematics

1 answer:

Pani-rosa [81]3 years ago

7 0

Answer:

T=78 feet (Tennis court)

360 feet (Football Filed)

Step-by-step explanation:

4T+48 = T+282

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I WILL UPVOTE ALL ANSWERS

svetlana [45]

The answer is C. (5,3)

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3 years ago

The difference between two integers is 8 and their product is 65. Assume that the larger of the two numbers is x. Write a quadra

zzz [600]

A quadratic equation in standard form that can be used to determine the value of x is $x^{2}$ - 8x - 65 = 0.

The Factor of the equation from Part B is (x - 13)(x + 5) and the possible solutions to the equation is x = 13 or -5.

The value for the second number is 5

<h3>Word Problem Leading To Quadratic Equation.</h3>

The general formula for quadratic equation in a in standard form is

a $x^{2}$ + bx + c = 0

Given that the difference between two integers is 8

Let the two integers = x and y,

and their product is 65. If the larger of the two numbers is x. Then,

x - y = 8 and xy = 65

Since we are looking for the value of x, make y the subject of formula in the first equation.

y = x - 8

Substitute y in the second equation.

x(x - 8) = 65

$x^{2}$ - 8x - 65 = 0

$x^{2}$ - 13x + 5x - 65 = 0

(x - 13)(x + 5) = 0

x = 13 or -5

We will ignore -5 since x is the larger number.

To get y Substitute x in the second equation.

xy = 65

13y = 65

y = 65/13

y = 5

Therefore, a quadratic equation in standard form that can be used to determine the value of x is $x^{2}$ - 8x - 65 = 0. The Factor of the equation from Part B is (x - 13)(x + 5) and the possible solutions to the equation is x = 13 or -5. The value for the second number is 5

Learn more about Quadratic Equation here: brainly.com/question/25841119

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2 years ago

Please help asap 2 questions 55 pts

Artist 52 [7]

2x-2 must be zero or greater, since we cannot have a negative quantity under the radical sign (unless we allow for imaginary roots).

Solving 2x-2≥0, we get x-1≥0, or x≥1. x must be equal to or greater than 1.

16 - 16, so the answer to the 2nd problem is the fourth one: x=4.

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3 years ago

Which expression is equivalent to 4 over 9 (2n - 3)

AlexFokin [52]

Answer:

The result for this equation is $\frac{8}{9}n - \frac{4}{3}$ .

Step-by-step explanation:

-Solve:

$\frac{4}{9} (2n-3)$

-Multiply $2n$ and $-3$ by $\frac{4}{9}$ :

$\frac{8}{9} + \frac{-12}{9}$

-Reduce $\frac{-12}{9}$ to the lowest term by extracting and canceling out 3:

$\frac{8}{9}n - \frac{4}{3}$

-So, the result is $\frac{8}{9}n - \frac{4}{3}$ .

3 0

3 years ago

Given the following sets:

hjlf

<h3>Answer: 10</h3>

===========================================================

Explanation:

Even though your teacher doesn't want you to list the items of the set, it helps to do so.

We'll be working with these two sets

A = {b, d, f, h, j, I, n, p, r, t}

C = {d, h, I, p, t}

When we union them together, we combine the two sets together. Think of it like throwing all the letters in one bin rather than two bins.

A u C = {b, d, f, h, j, I, n, p, r, t, d, h, I, p, t }

The stuff that isn't bolded is set A, while the stuff that is bolded is set C

After we toss out the duplicates, we end up with this

A u C = {b, d, f, h, j, I, n, p, r, t}

But wait, that's just set A. Notice how everything in set C can be found in set A. This indicates set C is a subset of set A.

That's why all of the stuff in bold was tossed out (because they were duplicates of stuff already mentioned).

Once we determine what set A u C looks like, we count out the number of items in that set to determine the final answer.

There are 10 items in {b, d, f, h, j, I, n, p, r, t} which means 10 is the final answer.

----------------------------

An alternative method is to use the formula below

n(A u C) = n(A) + n(C) - n(A and C)

n(A u C) = 10 + 5 - 5

n(A u C) = 10

The notation n(A and C) counts how many items are found in both sets A and C at the same time. But as mentioned earlier, this is identical to just counting how many items are in set C. So we'll have n(C) cancel out with itself.

In short, n(A u C) = n(A) = 10

8 0

2 years ago