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romanna [79]
1 year ago
10

Simplify radical expression √10z^5 - z^2 √10z

Mathematics
1 answer:
SCORPION-xisa [38]1 year ago
5 0

Answer:

√10z^3(z - 1)(z + 1).

Step-by-step explanation:

The GCF is √10z* z^2

= √10z^3

So factoring we get

√10z^3(z^2 - 1)           The expression in brackets is difference of 2 squares so:

= √10z^3(z - 1)(z + 1)

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Simplify<br> 4-3[6-2(4-3)]
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4 0
3 years ago
Find the vertices of the hyperbola. Enter the smallest coordinate first.
melisa1 [442]

Answer:

([-3], [0]), ([3], [0])

Step-by-step explanation:

The given equation of the hyperbola is presented as follows;

\dfrac{x^2}{9} - \dfrac{y^2}{49} = 1

The vertices of an hyperbola (of the form)  \dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1 are (± a, 0)

The given hyperbola can we presented in a similar form as follows;

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4 0
2 years ago
Tisha and her academic team are working to go to state finals. They must have a certain number of points to advance. They have h
Westkost [7]

Answer:

b equals T minus a minus c minus d all over 3 ⇒ 3rd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Tisha and her academic team have had three local matches

# Assume that the points of the local matches are a , c , d

- They will attend a district match

- District match points count for three times the number of points

  than local matches do

# Assume that the points of the district match is b

- T is the total points they will earned in the four matches

∵ The points in the local matches are a , c , d

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∴ T = a + c + d + 3b

* <u><em>Lets find b in terms of a , c , d , T</em></u>

∵ T = a + c + d + 3b

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- Subtract c from both sides

∴ T - a - c = d + 3b

- Subtract d from both sides

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- Divide both sides by 3

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4 0
3 years ago
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