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Andrej [43]
3 years ago
10

Which ordered pair is a solution to the system?

Mathematics
1 answer:
babymother [125]3 years ago
5 0

all you have to do is see whether both variables of each point meet both contraints:

for a) 1<3 and 2>1 is true so a is a solution to the system

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Given the foci of (8,0) and the difference of the focal radii = 6, find the equation of the hyperbola
k0ka [10]

Given :

The foci of hyperbola are (8,0) and (-8,0) .

The difference of the focal radii = 6.

To Find :

The equation of the hyperbola.

Solution :

We know, distance between foci is given by :

2c = 8 - (-8)

c = 8

Also, difference between the foci or focal distance is given by :

2a = 6

a = 3

Now, we know for hyperbola :

b^2 +a^2 = c^2\\\\b^2={c^2-a^2}\\\\b^2 = 64-9\\\\b^2 = 55

General equation of hyperbola is :

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\dfrac{x^2}{9}+ \dfrac{y^2}{55}=1

Hence, this is the required solution.

3 0
3 years ago
A city has 7204 recycle bins. The city gives half of the recycle bins to it's citizens. The rest of the recycle bins are divided
Tju [1.3M]
The number of recycle bins that the city gives to citizens:
7204 : 2= 3602
The number of recycle bins is left:
7204 - 3602= 3602
The largest number of bins that can be given in each group:
3602 : 23 = 156 (residual: 14)
=> There are 14 bins left over.
4 0
3 years ago
Use the graph of f below. Assume the entire function is graphed below.<br> Find the domain
enot [183]

ANSWER

The domain of the function is

- 3 \leqslant x \leqslant 6

or

[-3,6]

EXPLANATION

The domain of a function refers to the values of x for which the function is defined.

From the graph, we can see that the function begins at (-3,6) and ends at (6,-4).

Therefore the function is defined for x=-3 to x=6.

Hence the domain of the function is

- 3 \leqslant x \leqslant 6

or

[-3,6]

5 0
3 years ago
State if the two triangles are congruent. If they are, state how you know.
telo118 [61]

Answer:

yes, by AAS there are two sides of corresponding angles

Step-by-step explanation:

HOPE this helps...

8 0
3 years ago
Read 2 more answers
Vickie made a recipe for 144 fluid ounces of scented candle wax. How many 1 cup candle molds can she fill with the recipe?
jeka57 [31]
There are 8 fluid ounces in 1 cup.  You can solve this problem using these proportions:

\frac{8}{1} = \frac{144}{x}

It states that there are 8 fluid ounces in every 1 cup and 144 fluid ounces in every <em>x </em>cups.  We have to solve for <em>x </em>using cross-multiplication:

8x = 144 \\ x=18

Vickie can fill 18 1 cup candle molds with 144 fluid ounces of scented candle wax.
6 0
3 years ago
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