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Gwar [14]
3 years ago
13

X^2 -9X = 0. Factor and use the Zero property to solve

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0
The first step of factoring is to try to factor out a common factor.
The terms x^2 and -9x have the factor x in common.
Factor out x from both terms.

x^2 - 9x = 0

x(x - 9) = 0

Now you have a product of fully factored terms equaling zero, so you can apply the zero product property to solve.

x = 0   or   x - 9 = 0

x = 0   or   x = 9

Answer: x = 0 or x = 9
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4 0
3 years ago
What is the volume of a cylindrical bucket that is 35 cm tall and has a base with a diameter of 21 cm? Use pi= 22/7 and round yo
Nadya [2.5K]
Hello!

Formula for the volume of a cylinder: V =  \pi  r^{2}h

Plug in the values and solve12,127.5 =  \frac{22}{7} * 10.5^2 * 35




The answer is 12,127.5. Hope I helped!


5 0
3 years ago
Find the sum of the first nine terms 100,−40,16
erica [24]

9514 1404 393

Answer:

  71.447296

Step-by-step explanation:

The sequence is geometric with first term 100 and common ratio -0.4. Then the sum of n terms is ...

  Sn = 100(1 -(-0.4)^n)/(1 -(-0.4))

and the sum of 9 terms is ...

  S9 = 100(1 -(-0.4^9))/(1.4) = 71.447296

8 0
3 years ago
4. The Monster is a roller coaster that uses a design
Blababa [14]

Answer:

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Step-by-step explanation:dsadsdasz

7 0
3 years ago
What postulate or theorem can be used to prove that these two triangles are congruent?
kati45 [8]

Answer:

AAS postulate can be used to prove that these two triangles are congruent

Step-by-step explanation:

Let us revise the cases of congruence  

  1. SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
  2. SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
  3. ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
  4. AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
  5. HL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right Δ  

In the given figure

∵ There is a pair of vertically opposite angles

∵ The vertically opposite angles are congruent ⇒ (1)

∵ There are two angles have the same mark

∴ These marked angles are congruent ⇒ (2)

∵ There are two sides have the same mark

∴ These two marked sides are congruent ⇒ (3)

→ From (1), (2), and (3)

∴ The two triangles have 2 angles and 1 side congruent

→ By using case 4 above

∴ The two triangles are congruent by the AAS postulate of congruency.

AAS postulate can be used to prove that these two triangles are congruent

5 0
3 years ago
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