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2 years ago

What is the area of the parallelogram shown?

Mathematics

2 answers:

hram777 [196]2 years ago

8 0

Answer:

312

Step-by-step explanation:

I jus multiplied base X height

Delvig [45]2 years ago

7 0

312 have a great day the answer is 312

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Can somebody prove this mathmatical induction?

Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

$\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2$

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

3 step:

Check for n=k+1 whether the statement

$\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)$

is true.

Start with the left side:

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)$

According to the 2nd step,

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

Substitute it into the $\ast$

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)$

So, you have proved the initial statement

4 0

3 years ago

Find the midpoint of the segment with the following endpoints.

Damm [24]

Answer:

(6, 8)

Step-by-step explanation:

$\left(\frac{10+2}{2}, \frac{10+6}{2} \right)=(6, 8)$

4 0

1 year ago

Could I have some help please

Contact [7]

Sure what’s the question

6 0

2 years ago

Need helppppppp<br> Factored form

olchik [2.2K]

(x+8)(x-3) have a great day

4 0

2 years ago

Describe the relationship between the values of the independent and dependent variables (plz help)

Vadim26 [7]

Dependent variable is the variable that changes due to the independent variable, independent variable is the variable that scientists change on purpose.

5 0

2 years ago