All categories

2 years ago

Which of the following represents the length of a diagonal of this trapezoid?

Mathematics

1 answer:

seropon [69]2 years ago

5 0

Answer:

(D)

Step-by-step explanation:

Given ABCD is a trapezoid.Join the points A and C of the trapezoid together to form a diagonal of the trapezoid.Thus, Points A and C have coordinates (-a,0) and (b,c).

Using the distance formula on AC, we have

AC= $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

= $\sqrt{(b+a)^{2}+(c-0)^{2}}$

= $\sqrt{(a+b)^{2}+c^{2}}$

which is the required length of the diagonal of the trapezoid.

You might be interested in

Which of the following is an improper integral?

guapka [62]

Answer:

A) $\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx$

General Formulas and Concepts:

<u>Calculus</u>

Discontinuities

Removable (Hole)
Jump
Infinite (Asymptote)

Integration

Integrals
Definite Integrals
Integration Constant C
Improper Integrals

Step-by-step explanation:

Let's define our answer choices:

A) $\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx$

B) $\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx$

C) $\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx$

D) None of these

We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.

Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.

∴ our answer is A.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

6 0

3 years ago

To rent a certain meeting room, a college charges a reservation fee of $41 and an additional fee of $7.90 per hour. The chemistr

Lemur [1.5K]

Answer:

Step-by-step explanation:

Rounding

Your cost just for the room is 41

You pay 7.90 for Your hours of being there

And your Budget is 96.30

the equation wants you for figure how many hours would you be there at the establishment that you would pay your full budget 96.30 or closer and You would only pay 41.00