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3 years ago

Someone please help me with this question

Mathematics

1 answer:

zubka84 [21]3 years ago

8 0

You can use pythagorean theorem and square 1.5 and 6 and those added together is the hypotenuse (the slope) squared. the answer is approximately 6.2

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How to prove that a shape is a square on the coordinate plane?

Goshia [24]

If a quadrilateral has four congruent sides and four right angles, then it's a square, and also If two consecutive sides of a rectangle are congruent, then it's a square.

Glad I could help, Have a great day!

5 0

3 years ago

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Write an expression for the 12th partial sum of the series 3/2+7/3+19/6+... using summation notation

lapo4ka [179]

Answer:

$S_{12}=\sum_{i=1}^{12} [\frac{3}{2}+(i-1)\times \frac{5}{6}]$

$S_{12}=73$

Step-by-step explanation:

$First\ term\ of\ the\ series(a_1)=\frac{3}{2}\\\\Second\ term\ of\ the\ series(a_2)=\frac{7}{3}\\\\Third\ term\ of\ the\ series(a_3)=\frac{19}{6}\\\\a_2-a_1=\frac{7}{3}-\frac{3}{2}=\frac{5}{6}\\\\a_3-a_2=\frac{19}{6}-\frac{7}{3}=\frac{5}{6}\\\\Hence\ it\ is\ an\ Arithmetic\ Series\ with\ first\ term=\frac{3}{2}\ and\ constant\ difference=\frac{5}{6}$

$a_1=\frac{3}{2}+0\times \frac{5}{6}\\\\a_2=\frac{3}{2}+1\times \frac{5}{6}\\\\a_3=\frac{3}{2}+2\times \frac{5}{6}\\\\.\\.\\.\\a_n=\frac{3}{2}+(n-1)\times \frac{5}{6}\\\\S_n=a_1+a_2+a_3+......+a_n\\\\S_n=(\frac{3}{2}+0\times \frac{5}{6})+(\frac{3}{2}+1\times \frac{5}{6})+(\frac{3}{2}+2\times \frac{5}{6})+....+(\frac{3}{2}+[n-1]\times \frac{5}{6})\\\\S_n=\sum_{i=1}^n [\frac{3}{2}+(i-1)\times \frac{5}{6}]\\\\S_n=(\frac{3}{2}+\frac{3}{2}+\frac{3}{2}+...n\ times)+\frac{5}{6}(1+2+3+4+...+(n-1))\\\\$

$S_n=\frac{3}{2}\times n+\frac{5}{6}\times \frac{n(n-1)}{2}\\\\$

$S_{12}=\sum_{i=1}^{12} [\frac{3}{2}+(i-1)\times \frac{5}{6}]$

$S_{12}=\frac{3}{2}\times 12+\frac{5}{6}\times \frac{(12)(12-1)}{2}\\\\S_{12}=18+55\\\\S_{12}=73$

5 0

3 years ago

Which item is NOT printed on the bottom of a check?

FromTheMoon [43]

Answer: d. Date

Step-by-step explanation:

Some of the information printed on the bottom of a check include the check number which is typically a security measure that is used in the identification of payment so as to prevent fraud.

The routing number also informs the bank where the funds for the check can be found.

The account number informs the person that collects the check about the account that the money is coming from.

We should note that the date is at the top of the check and one has to fill it himself or herself before giving the check to the recipient.

6 0

2 years ago

What is the value of the expression below?

anygoal [31]

Answer:

0.8

Step-by-step explanation

took the test

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3 years ago

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An equation is shown below: −2(4x − 1) − 7 = 5 Which statement shows a correct next step in solving the equation? (1 point)

Paha777 [63]

Answer:

Step-by-step explanation:

Add both sides of the equation by 7, which satisfies the definition of the addition property of equality.

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3 years ago