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3 years ago

In the matrix equation below, what are the values of x and y?

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

4 0

Answer:

The value of x = 5 and y = 2

The correct answer is last option

Step-by-step explanation:

From the figure we can see that, subtraction of two matrices.

The resultant matrix shows the corresponding terms difference.

To find the value of x

1/2(x + 3) - (3*(-1)) = 7

x/2 + 3/2 +3 = 7

x/2 +3/2 = 7 - 3 = 4

x + 3 = 8

x = 8 - 3 = 5

x = 5

To find the value of y

8/2 -3 (y +1) = -5

4 - 3(y +1)/ = -5

3(y +1) = 4 + 5 = 9

y + 1 = 9 / 3 = 3

y = 3 - 1 = 2

Therefore the value of x = 5 and y = 2

The correct answer is last option

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Help please solve for x.

Sedbober [7]

Answer:

$x=\frac{60}{7}\ units$ or $x=8\frac{4}{7}\ units$

Step-by-step explanation:

The correct question is

The two rectangles show are similar. Find the value of x

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

$\frac{20}{14}=\frac{x}{6}$

solve for x

$x=\frac{20}{14}(6)$

$x=\frac{120}{14}\ units$

simplify

$x=\frac{60}{7}\ units$

convert to mixed number

$x=\frac{60}{7}\ units=\frac{56}{7}+\frac{4}{7}=8\frac{4}{7}\ units$

4 0

3 years ago

Solve 70=-2.5x (one-step equation)

Lapatulllka [165]

Answer:

-28

Step-by-step explanation

70/-2.5=-2.5x/-2.5 divide

-28=x

7 0

2 years ago

Y=x² - 6x + 7 in quadratic vertex form (no need to show work)

ioda

Just use a calculator

5 0

3 years ago

I want someone please who are really good in algebra so he/she can stays with me while my quiz just 5 min please help meee!!!!!!

Vlad [161]

Answer:

I think I can help, whats your quiz over in algebra?

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3 years ago

What is Permutations and Combinations?

marissa [1.9K]

Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

Permutation can be expressed in math as:

$\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }$

where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

$\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}$

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

ABC - 1

ACB - 2

BAC - 3

BCA - 4

CAB - 5

CBA - 6

Notice that if you do visually, you'll get the same answer as the calculation of permutation!

----

Combination can be expressed mathematically as:

$\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }$

The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.

Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:

Since there are 3 letters total and 3 selected letters:

$\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}$

Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

5 0

2 years ago