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masha68 [24]
3 years ago
12

Which expression gives the length of the transverse axis of the hyperbola

Mathematics
1 answer:
klio [65]3 years ago
7 0

Answer:

Option (B)

Step-by-step explanation:

From the picture attached,

F1 and F2 are the focii of the hyperbola.

Point P(x, y) is x units distant from F1 and y units distant from the other focus F2.

By the definition of a hyperbola,

"Difference between the distances of a point from the focii is always constant and equals to the measure of transverse axis."

Difference in the distances of point P from focii F1 and F2 = (x - y) units

This distance is equal to the length of the transverse axis = (x - y) units

Therefore, Option (B) will be the answer.

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A police officer wears a belt that carries an extra 10 pounds on their waistline. The police officer weighs p pounds.
Lelechka [254]

Answer: T = 10p

Step-by-step explanation: Since we don't know what is the total weight, we put the an variable, T to represent the total weight. The 10p means that the poilce officer gained 10 Pounds.

3 0
3 years ago
Scott bought a 5lb bag of cookies at the bakery. He ate 2/5 of the bag and his sister ate 2/9 of the bag. What fraction of the b
satela [25.4K]

Answer:  Fraction they both eat = \dfrac{28}{45}.

Fraction of bag remains =  \dfrac{17}{45}

Step-by-step explanation:

Given: Part of cookies eaten by  Scott = \dfrac25

Part of cookies eaten by sister = \dfrac{2}{9}

Fraction they both eat = \dfrac25+\dfrac29=\dfrac{9\times2+5\times2}{5\times9}

=\dfrac{18+10}{45}\\\\=\dfrac{28}{45}

Fraction of the bag remain = 1-\dfrac{28}{45}=\dfrac{45-28}{45}=\dfrac{17}{45}

[Taking fraction of whole bag =1]

Hence, Fraction they both eat = \dfrac{28}{45}.

Fraction of bag remains =  \dfrac{17}{45}

4 0
3 years ago
I need help with # 8,10,12,14,16,18
zheka24 [161]

8) 81 has diploma

9)54

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5 0
3 years ago
Is the following relation a function?<br><br><br> x y<br> 1 4<br> −1 −2<br> 3 10<br> 5 16
Sergio [31]
No , because it doesn’t have a pattern . For example put the numbers in a chart 1+3 = 4 , -1+3 =2 , 3+7=10 , 5+11=16 , there’s no pattern
3 0
3 years ago
g A shopping center includes a grocery store and a drug store. One%E2%80%8B afternoon, a total of 200 people visited the shoppin
QveST [7]

Answer:

a) 179 people shopped at the grocery store or the drug store.

b) 21 people shopped at neither the grocery store nor the drug store

Step-by-step explanation:

I am going to treat these events as Venn sets.

I am going to say that:

Set A: Shopped at the grocery store

Set B: Shoped at the drug store.

121 shopped at the grocery store:

This means that A = 121

91 shopped at the drug store:

This means that B = 91

33 shopped at both businesses.

This means that A \cap B = 33

a) How many people shopped at the grocery store or the drug store?

This is

A \cup B = A + B - (A \cap B)

With the values given in the exercise.

A \cup B = A + B - (A \cap B) = 121 + 91 - 33 = 179

179 people shopped at the grocery store or the drug store.

b) How many people shopped at neither the grocery store nor the drug store?

179 of 200 shopped in at least one. So 200 - 179 = 21 shopped at neither.

21 people shopped at neither the grocery store nor the drug store

8 0
2 years ago
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