All categories

2 years ago

Evaluate the determinant for the following matrix [144] [522] [155]

1 answer:

8 0

Matrix :

1    4    4

5 2    2

1    5    5

=> Determinant =

1 * (2*5 - 2*5) - 4 * (5*5 - 1*2) + 4 * ( 5*5 - 2*1)

= 1*(10 - 10) - 4*(25 - 2) + 4*(25 -2) = 1*0 + 4* 23 + 4*(25 - 2) = 0 - 4*23 + 4*23 = 0

Answer: 0

You might be interested in

How do you solve (3c)³ - (c - 4d)²; c = -2 AND d = 5

algol13

You just plug in the values.

[3*(-2)]^3 - (-2 - 4*5)^2

(-6)^3 - ( - 2 - 20)^2

-216 - (-22)^2

-216 - (484)

-216 - 484

-700

8 0

2 years ago

A rectangular poster is 5 dm long and 3 dm wide. Sara wants to paint the whole poster. Find the area of the poster in square cm.

Zina [86]

Answer:

$\boxed{1500cm^{2} }$

Step-by-step explanation:

Area = Length × Width

→ Identify the length and width

Length = 5 and Width = 3

→ Substitute in the values

Area = 5 dm × 3 dm

→ Convert into cm

Area = 50 cm × 30 cm

→ Simplify

1500 cm²

6 0

2 years ago

Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two g

Firlakuza [10]

Answers:

Ava’s graph is a vertical translation of f(x) = x^2.

Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.

Ava’s graph has a y-intercept of 4.

Given:

Ava graphs the function $h(x) = x^2 + 4$ .

Victor graphs the function $g(x) = (x + 4)^2$

To find y intercept we plug in 0 for x

$h(x) = x^2 + 4$

$h(x) = 0 + 4$ = 4

So ,Ava’s graph has a y-intercept of 4.

Ava graphs the function $h(x) = x^2 + 4$

If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.

Hence , Ava’s graph is a vertical translation of f(x) = x^2. Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.

Victor graphs the function $g(x) = (x + 4)^2$

If any number added with x then the graph will be shifted left. the graph will be shifted in negative x direction.

7 0

3 years ago

Read 2 more answers

Express the ratio 4:7 in the form n:1

Snowcat [4.5K]

Answer:

11:1

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

What is the value of x?

mel-nik [20]

Answer:

x = 24

Step-by-step explanation:

1.) put the equations together and equal them to 180

2x + 4 + 6x - 16 = 180

2.) combine like terms

8x - 12 = 180

3.) divide both sides by 8

8x = 192

4.) simplify

x = 24

7 0

2 years ago