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3 years ago

Find the determinant of the following matrix. [1 -2] [3 4]

Mathematics

1 answer:

Andrew [12]3 years ago

8 0

Answer:

Step-by-step explanation:

[1 -2]

[3 4]

We can obtain the determinant of the above matrix by doing the following:

Determinant =(1 × 4) – (3 × –2)

Determinant = 4 – – 6

Determinant = 4 + 6

Determinant = 10

Thus, the determinant of the above matrix is 10

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ABCD is a parallelogram. Find the indicated measure:

uranmaximum [27]

Answer:

12 12 12 12 12 12 12 12 12 1 2 12 12

7 0

3 years ago

Can someone please help me with these two please I'll appreciate it :)

s344n2d4d5 [400]

4.

$\sqrt{64}=8\\\\8\dfrac17=8.14285714...\\\\8.\overline{14}=8.14141414...\\\\ \dfrac{15}2=7,5\\\\\\ \boxed{\ \dfrac{15}2\ \ \textless \ \ \sqrt{64}\ \ \textless \ \ 8.\overline{14}\ \ \textless \ \ 8\dfrac17\ }$

5.

$\sqrt{18}$ doesn't belong with the other three because it is irrational number
The other three can be expressed as a ratio between two integers.

$-\dfrac{10}2=\dfrac{-10\ }2\\\\-13.4=-13\frac4{10}=\frac{-134}{\ 10}\\\\ 22.\overline7=22\frac79=\frac{205}9\\\\\\ \sqrt{18}=\sqrt{9\cdot2}=\sqrt9\cdot\sqrt2=3\sqrt2$

7 0

4 years ago

A rectangular room is 5 meters longer than it is wide, and its perimeter is 26 meters. Find the dimension of the room.

amid [387]

Answer:

l=×+5

w=×

p=2(×+5+×)

=2(2×+5)

26=4×+10

26-10=4×

16=4×

×=4

length=5+4=9

width=4

4 0

3 years ago

What is the slope / rate of change for 2, 5 and -3, 7

Nady [450]

Answer:

$\displaystyle m=\frac{-2}{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS 

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (2, 5)

Point (-3, 7)

Step 2: Identify

x₁ = 2, y₁ = 5

x₂ = -3, y₂ = 7

Step 3: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{7-5}{-3-2}$
[Slope] [Fraction] Subtract: $\displaystyle m=\frac{2}{-5}$
[Slope] [Fraction] Rewrite: $\displaystyle m=\frac{-2}{5}$

4 0

3 years ago

The cars (seats) of a Ferris wheel are positioned 74 feet from its center. If the Ferris wheel makes 4 revolutions every 4 minut

Nataliya [291]

The linear speed of one of the cars is 7.75 feet per second

The cars (seats) of a Ferris wheel are positioned 74 feet from its center.

The radius, r = 74 feet

The Ferris wheel makes 4 revolutions every 4 minutes

Number of revolutions per minute = 1

Angular speed, w = 1 rev/min

Angular speed, w = 0.10472 rad/sec

The relationship between the linear speed (v), and the angular speed (w) is:

v = wr

Substitute w = 0.10472 and r = 74 feet into the formula:

v = 0.10472 x 74

v = 7.75 feet per second

The linear speed of one of the cars is 7.75 feet per second

Learn more on linear speed here: brainly.com/question/4357151

7 0

3 years ago

Find the determinant of the following matrix. [1 -2] [3 4]​

Find the determinant of the following matrix. [1 -2] [3 4]