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3 years ago

How to work it and solve the problem

Mathematics

1 answer:

jeka943 years ago

8 0

It's quite difficult, almost impossible to write all steps to solve a 3x3 matrix.

However, I will give you te answer that is determinant (Matrix)=54

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Numerals in a number which are either nonzero, or are zeros which do not serve merely as placeholders are called ___ digits.

AnnyKZ [126]

Significant would be the answer.

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4 years ago

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Please I'm in urgent need of help. what must be added to make (1/4)x^2-(2/3)xy a perfect square?.

Ipatiy [6.2K]

Answer:

$\bigg(\frac{2}{3} {y} \bigg)^{2}$

STEP BY STEP EXPLANATION

$\frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy \\ \\ = \bigg(\frac{1}{2} {x} \bigg)^{2} - 2. \bigg(\frac{1}{2} {x} \bigg)\bigg( \frac{2}{3} y \bigg ) + \bigg(\frac{2}{3} {y} \bigg)^{2} \\ \\ = \bigg(\frac{1}{2} {x} - \frac{2}{3} y\bigg)^{2} \\$

To make $\red{\bold{\frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy}}$ a perfect square we should add $\purple{\bold{\bigg(\frac{2}{3} {y} \bigg)^{2}}}$

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2 years ago

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Here is a list of numbers:

ehidna [41]

Answer:

put the numbers in order from least to greatest and then cross them out til you get to the center number

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3 years ago

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Diego’s dog weighs more than 8 kilograms and less than 12 kilograms. Select all the inequalities that MUST be true if w is the w

masha68 [24]

Answer:

4 less kilgrams than previous weight

Step-by-step explanation:

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3 years ago

Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo

Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

Solution:

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

The formula for combinations is:

$n C_{r}=\frac{n !}{r !(n-r) !}$

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

Substituting values in above formula, we get

$\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}$

For a number n, the factorial of n can be written as,

$n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1$

Therefore, we get

$7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21$

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

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3 years ago