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3 years ago

Which ordered pair makes the equation true? 4x – 9y = –5 (–5, –2) (–1, 1) (10, 5) (20, 4)

Mathematics

1 answer:

mihalych1998 [28]3 years ago

8 0

(10,5) would make the equation correct

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Diagram 5 shows a triangle ABD such that AD = 17 cm, AB = 10 cm and BD = 21 cm. The straight line AC is perpendicular to the str

OlgaM077 [116]

Answer:

Step-by-step explanation:

100 = x^2 + AC^2

17^2 = AC^2 + (21 - x)^2

289 = AC^2 + 21^2 + x^2 - 2*21*x

289 = AC^2 + 441 + x^2 - 42x

from 1st equation AC^2 + x^2 = 100

289 = 441 + 100 - 42x

289 = 541 - 42x

42x = 541 - 289 = 252

x = 252/42 = 6

so AC^2 = 100 - 6^2 = 100 - 36 = 64

AC = 8

7 0

2 years ago

A water tank holds 18000 gallons. How long will it take for the water level to reach 6000 gallons if the water is used at anaver

kkurt [141]

It should take approximately 27 days using the water at an average of. 450 gallons per day

5 0

3 years ago

6. A number j increased by 8 *

e-lub [12.9K]

Answer:

6. b. j+ 8

7. b. n - 2

8. a. Addition

9. d. y ÷ -5

10. c. 18 - 19

11. a. 10 + 6

12. b. Divided by

13. a. three added to 5

14. b. 9

15. b. 75

8 0

2 years ago

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:

Calculus

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

Need help on writing a proof.

viva [34]

Answer: Congruent

Step-by-step explanation:

Line BC is reflexive to itself

AB is congruent to CD, and that's given

Line AC is congruent to BC, using these prior proofs

Angle EDC and Angle FAB are congruent, and that's a given.

You can conclude that they are congruent by AAS

5 0

3 years ago