All categories

2 years ago

Find the determinant of the matrix.

Mathematics

1 answer:

Natalka [10]2 years ago

8 0

Answer:

Step-by-step explanation:

$\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc$

0(4)-4(0) = 0

You might be interested in

HELP ME PLZZZZZZZZZZZZ

Llana [10]

Answer:

157.5 square feet

Step-by-step explanation:

If an inch is 3 feet, then

3.5 inches = 10.5 feet (3.5*3)

5 inches = 15 feet (5*3)

The area of a rectangle is length times width so...

10.5*15 = 157.5

3 0

2 years ago

Read 2 more answers

Find the amount of time. I = $60, P= $400, r = 5% Find how many years

Keith_Richards [23]

I=PRT

$60= 400 ×.05 × t

$60= 20× t

t= 60/20

3=t

4 0

2 years ago

Please help and explain how to do this

Mnenie [13.5K]

Answer:

4√3

Step-by-step explanation:

The distance formula applies. It tells you ...

distance = √((x2 -x1)² +(y2 -y1)²)

Filling in the given values, you have ...

distance = √((-√32 -(-4√2))² +(2√3 -(-√12))²)

= √((-4√2+4√2)² +(2√3 +2√3)²)

= √(0 + (4√3)²)

distance = 4√3

___

We make use of the fact that ...

$a\sqrt{b}=\sqrt{a^2b}\\\\\sqrt{32}=\sqrt{16\cdot 2}=4\sqrt{2}\\\\2\sqrt{3}=\sqrt{2^2\cdot 3}=\sqrt{12}$

3 0

2 years ago

Triangle ABC has vertices A(–1, 0), B(4, 0), and C(2, 6). If ΔABC is translated using the function rule (x, y) → (x – 6, y – 5)

Elina [12.6K]

Answer:

b. A''(7, 5), B''(2, 5), C''(4, –1)

Step-by-step explanation:

Given vertices of ΔABC:

A = (-1, 0)
B = (4, 0)
C = (2, 6)

Translation mapping rule:

(x, y) → (x – 6, y – 5)

Therefore:

A' = (-1 - 6, 0 - 5) = (-7, -5)
B' = (4 - 6, 0 - 5) = (-2, -5)
C' = (2 - 6, 6 - 5) = (-4, 1)

Rotation of 180° clockwise rule:

(x, y) → (-x, -y)

Therefore:

A'' = (-7, -5) = (7, 5)
B'' = (-2, -5) = (2, 5)
C'' = (-4, 1) = (4, -1)

Learn more about transformations here:

brainly.com/question/28354239

brainly.com/question/27743837

5 0

1 year ago

Question 1: find the volume of a cube whose total surface area is 486cm^2

lapo4ka [179]

<h3>The volume of cube is 729 cubic centimeter</h3>

Solution:

The surface area of cube is given as:

$Surface\ area = 6a^2$

Where, "a" is the length of side of cube

Given that, surface area = 486 square centimeter

$486 = 6a^2\\\\a^2 = \frac{486}{6}\\\\a^2 = 81\\\\a = 9$

Find the volume of cube:

$volume\ of\ cube = a^3\\\\volume\ of\ cube = 9^3\\\\volume\ of\ cube = 9 \times 9 \times 9\\\\volume\ of\ cube = 729$

Thus volume of cube is 729 cubic centimeter

8 0

2 years ago