Which angle is the smallest? 12 10 D

System of conics help

ZanzabumX [31]

Answer:

Solutions are (6,3) and (-2,3).

Step-by-step explanation:

From the first equation given we can write:

$(x-2)^{2} = 16-(y-3)^{2}\\$

substituting for $(x-2)^{2}$ in the second equation given we get

$\frac{16-(y-3)^{2}}{16} + \frac{(y-3)^{2}}{64} = 1$

$\frac{-(y-3)^{2}}{16} + \frac{(y-3)^{2}}{64} =0$

∴ y=3

Putting y=3 in the first equation we get

$(x-2)^{2} = 16$

x-2 = ±4

Hence x=6 or x=-2.

7 0

3 years ago

state the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation

erma4kov [3.2K]

Answer:

domain (-∞, ∞)
range (-∞, 4]
increasing (-∞, 0)
decreasing (0, ∞)
constant (only at x=0, not on any interval)

Step-by-step explanation:

The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).

The vertical extent of the graph includes y=4 and all numbers less than that:

range: (-∞, 4]

The graph is increasing to the left of its vertex at x=0, decreasing to the right.

increasing (-∞, 0); decreasing (0, ∞)

There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.

8 0

3 years ago

There were 100 pizzas sold at Romeo's Pizzeria on Tuesday. A large pizza costs $16 and a small pizza costs $11. If $1,550 worth

Blizzard [7]

Answer:

10 small pizzas sold

Step-by-step explanation:

Let number of large pizzas be l and number of small be s.

Then we have equations:

l + s = 100
16l + 11s = 1550

From the first equation, we get l = 100 - s and substitute in the second equation:

16(100 - s) + 11s = 1550
1600 - 16s + 11s = 1550
5s = 1600 - 1550
5s = 50
s = 10

Number of small pizzas is 10

7 0

3 years ago

John is buying food for his cat, Fluffy. Fluffy LOVES a fancy wet food which costs $1.50 per day. Fluffy will also tolerate dry

Vedmedyk [2.9K]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of days that fluffy eats wet food in a week and y represents the number of days that fluffy eats dry food in a week.

Hence:

x + y = 7 (1)

Also, John wants to spend at most $9.00 on cat food each week. Hence:

1.5x + 0.75y ≤ 9 (2)

The list of possible points after solving graphically are:

(0,7), (6,0), (0,12) and (5, 2). If x,y > 0, then the point that satisfies the inequality is:

(5, 2) i.e. 5 wet food and 2 dry food

5 0

2 years ago

Emma needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 5

nika2105 [10]

Answer:

115

Step-by-step explanation: trust me twin

6 0

2 years ago