1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oksana_A [137]
2 years ago
9

Does anyone know the answer to both these questions ???

Mathematics
1 answer:
gavmur [86]2 years ago
5 0

answer for 9 is 6cm not sure about 10

You might be interested in
#4
Solnce55 [7]
............15n+12b
5 0
3 years ago
Prove that 2n^3 + 3n^2 + n is divisible by 6 for every integer n > 1 by mathematical induction. (7 marks)
notka56 [123]

Answer:

The answer is True

Step-by-step explanation:

A <em>mathematical induction</em> consists in only 2 steps:  

<u>First step</u>: Show the proposition is true for the first one valid integer number.

<u>Second step</u>: Show that if any one is true then the next one is true  

Finally, if first step and second step are true, then the complete proposition is true.

So, given 2*n^3+3*n^2+n

First step: using and replacing n=2 (the first valid integer number >1)

2*(2)^3 +3*(2)^2+2=30

\frac{30}{6} =5

As the result is an integer number, so the first step is true.

Second step: using any next number, n+1, let it replace

2*(n+1)^3+3*(n+1)^2+(n+1)\\2*(n^3+3*n^2+3*n+1)+3*(n^2+2*n+1)^2+(n+1)\\2*n^3+6*n^2+6*n+2+3*n^2+6*n+3+n+1\\(2*n^3+3*n^2+n)+(6*n^2+12*n+6)

As the First step is true, we know that

2*n^3+3*n^2+n=6*k,

So let it replace in the previous expression

6*k+6*(n^2+2*n+1)\\6*[k+(n^2+2*n+1)]

Finally

\frac{6*[k+(n^2+2*n+1)]}{6} =k+(n^2+2*n+1)

where the last expression is an integer number

So the second step is true, and the complete proposition is True

5 0
3 years ago
Line segment C X is an altitude in triangle ABC. Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn fro
Alenkinab [10]

Answer:

i. ΔAXC ~ ΔCXB

ii. ΔBCX Is-congruent-to ΔACX

Step-by-step explanation:

From the given ΔABC, CX is the altitude of ΔABC; and also an angle bisector of <ACB.

So that:

m<AXC = m<BXC (right angle property)

m<ACX = m<BCX (congruent property)

m<ACX + m<AXC + m<CAX = 180^{o} (sum of angles in a triangle)

m<BCX + m<BXC + m<CBX = 180^{o} (sum of angles in a triangle)

Therefore, from the figure it can be deduced that;

i. ΔAXC ~ ΔCXB (Angle-Angle-Side, AAS, property)

ii. ΔBCX Is-congruent-to ΔACX (Angle-Angle-Side, AAS, property)

5 0
3 years ago
Read 2 more answers
How to convert the mixed number to a fraction<br> 6 and 1 over 7?
pogonyaev

Answer:

43/7

Step-by-step explanation:

6  1/7

First, you need to multiply 6 by 7, then add 1

43/7

4 0
3 years ago
Read 2 more answers
En una PA cuya razón es 16, el término que ocupa el lugar 4 es 61. Si el último término es 173, ¿cuántos términos tiene la progr
Lisa [10]

Answer:

djijdjaklkd

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • A recipe calls for 1/2 cup of milk. Express the number of cups of milk as a decimal
    13·1 answer
  • A grocery store has 367 cans of vegetables on each of 4 shelves. Which expression can be used to find how many cans of vegetable
    11·2 answers
  • Aeen is drinking a beverage that has a pH of 3.3.
    10·2 answers
  • Can anyone help me please?
    7·1 answer
  • An actor was paid $2.1 x 10^6 (this an exponent) to star in a movie. If the
    5·1 answer
  • Rancho Middle School has an average of 23 3/8
    7·1 answer
  • Find the area of the figure below.
    5·2 answers
  • The difference between two numbers is 8. Twice the number is 4 more than the larger number. What is the smaller number?
    9·1 answer
  • Reflect points please help me
    5·2 answers
  • Melissa ran "m" meters per second, and jasmine ran "j" meters per second. They ran for "t" seconds. The expression t(m-j) descri
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!