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Alex73 [517]
3 years ago
12

If the following system of equations was written as a matrix equation in the form AX=C , and matrix A was expressed in the form

Mathematics
2 answers:
cluponka [151]3 years ago
8 0
Its -5

because a=4, b=5, c=2, d=-6
BlackZzzverrR [31]3 years ago
8 0

The given system of equations are :

4x + 2y=7

5x-6y=9

a   c       we have   4     2

b     d                       5      -6.

Comparing the two matrix we have a=4,b=5,c=2,d=-6

The question is asking us to find the value of a-b+c+d

Substituting the values of a,b,c,d we have:

a-b+c+d=4+(-5)+2+(--6)

=4-5+2-6=-11.






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A playstation 5 is $900 and costs $50 per game. A xbox is $400 and costs $60 per game. How many games will it take for both cons
belka [17]

Answer:

It would take a PlayStation 5 and 2 games to equal an Xbox and 10 games.

Step-by-step explanation:

I made a list that increase in the increments of the game price.

Something like this:

900—400~consoles alone

950—460~1 game

1000–520~2 games

1050—580~3 games

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Left side is PlayStation 5 and right side is Xbox. The first row is the price of the consoles alone and then each row after that is the price of the console with an additional game. As you can see, the third row down on the left, the PlayStation 5 with 2 games is $1,000. If you look at the eleventh row on the right, you can see that Xbox with 10 games is also $1,000

3 0
2 years ago
Evaluate (x + y)^0 for x = -3 and y = 5.<br><br> 0<br> -1/2<br> 2<br> 1
marysya [2.9K]

Answer:

The answer is 1.

Step-by-step explanation:

You need to evaluate the expression inside the parentheses.

(-3 + 5)⁰

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= 1

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5 0
3 years ago
Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with
yan [13]

Answer:

<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>

<em></em>

Step-by-step explanation:

Given:

Two square pyramids A and B.

Side Length of A, s_A = 12 inches

Height of A, h_A = 8 inches

Side Length of B, s_B = 48 inches

Height of B, h_B = 32 inches

To find:

How many times bigger is the volume of pyramid B than pyramid A?

OR

V_B is how many times bigger than V_A ?

Solution:

First of all, let us have a look at the formula for volume of a pyramid:

V=\dfrac{1}{3} \times \text{Area of Base} \times \text{Height}

Here, base is square, so:

V=\dfrac{1}{3} \times s^2 \times h

Volume of pyramid A:

V_A=\dfrac{1}{3} \times s_A^2 \times h_A

\Rightarrow V_A=\dfrac{1}{3} \times 12^2 \times 8 = 384\ inch^3

Volume of pyramid B:

V_B=\dfrac{1}{3} \times s_B^2 \times h_B

\Rightarrow V_B=\dfrac{1}{3} \times 48^2 \times 32 \\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 4^2 \times 4\\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 64\\\Rightarrow V_B= 24576\ inch^3 = 384\times 64\ inch^3\\\Rightarrow V_B = V_A\times 64\ inch^3

<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>

3 0
3 years ago
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