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3 years ago

Two numbers have a sum of 32 and a difference of 60.

Mathematics

1 answer:

kogti [31]3 years ago

8 0

Answer: 46 and -14

Step-by-step explanation:

Set one of the numbers as x and the other as y.

$x + y = 32\\x - y = 60$

Add the two equations together (which removes the y variable because y - y = 0).

$2x = 92\\x = 46$

Plug that back in.

46 - y = 60

y = -14

Check for the other equation.

46 - 14 = 32

This is correct.

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Find the center, vertices, and foci for the ellipse 25x^2 + 64y^2 = 1600

Alisiya [41]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Equation 25x² + 64y² = 1600

Process

1.- Divide all the equation by 1600

25x²/1600 + 64y²/ 1600 = 1600/1600

-Simplify

x²/64 + y²/ 25 = 1

2.- Equation of a horizontal ellipse

$\frac{x^{2} }{a^{2}} + \frac{y^{2}}{b^{2}} = 1$

3.- Find a, b and c

a² = 64 a = 8

b² = 25 b = 5

-Calculate c with the Pythagorean theorem

a² = b² + c²

-Solve for c

c² = a² - b²

-Substitution

c² = 8² - 5²

-Simplification

c² = 64 - 25

c² = 39

-Result

c = √13

4.- Find the center

C = (0, 0)

5.- Find the vertices

V1 = (-8, 0) V2 = (8, 0)

6.- Find the foci

F1 = (-√13, 0) F2 = (√13, 0)

7 0

3 years ago

= Knowledge Check Carmen gave $1.39 to one friend and $2.31 to another friend. Find the total amount Carmen gave to the two frie

Anna71 [15]

Answer:

3.71

Step-by-step explanation:

Add the money.....

8 0

3 years ago

I really need this one answered, I just can’t figure it out.

Katena32 [7]

25.2 divided by 4.2 =6

4 0

3 years ago

A blind taste test will be conducted with 9 volunteers to determine whether people can taste a difference between bottled water

Aloiza [94]

Answer:

The answer is $\frac{1}{256}$

Step-by-step explanation:

If we assume that people cannot taste a difference between bottled water, then the probability of identifying tap water is 0.5

Thus, P(identify tap water)=0.5

The probability that at least 8 of the 9 people identify the tap water correctly is the sum of the probabilities

8 of 9 people identified correctly or
9 of 9 people identified correctly

Since P(identify tap water)=0.5 each probabilities are the same and equal to

$0.5^9$ = $\frac{1}{512}$

So we have $2*\frac{1}{512}$ = $\frac{1}{256}$

6 0

3 years ago

- 2 + 0.8) ÷ (- 1.3) =<br><img src="https://tex.z-dn.net/?f=%20%28%20-%202%20%2B%200.8%29%20%5Cdiv%20%28%201%7D%5E%7B2%7D%20%20-

Nookie1986 [14]

(-2 + 0.8) ÷ (1²-1.3) =

(-1.2) ÷ (1-1.3)

(-1.2) ÷ (-0.3)

= 4

6 0

3 years ago

Two numbers have a sum of 32 and a difference of 60.​

Two numbers have a sum of 32 and a difference of 60.