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4 years ago

Dont rip me off for points, if you dont know the answer dont say anything

Mathematics

1 answer:

VashaNatasha [74]4 years ago

7 0

Answer:

AB = 2 root 13

AC = 4 root 5

Step-by-step explanation:

AB = sqrt[(-4-2)² + (3-7)²]

AB = sqrt(36 + 16)

AB = sqrt(52)

AB = 2sqrt(13)

AC = sqrt[(-8-0)² + (7-3)²]

AC = sqrt(64+16)

AC = sqrt(80)

AC = 4sqrt(5)

sqrt: square root

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For which values of the parameter B the following system admits a unique solution [ 1 b 1-b 2 2 0 2–2B 4 0] [x y z] = [1 2 0]

photoshop1234 [79]

Answer: β ≠ ±1

Step-by-step explanation: For a system of equations to have an unique solution, its determinant must be different from 0: det |A| ≠ 0. So,

det $\left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right]$ ≠ 0

Determinant of a 3x3 matrix is calculated by:

det $\left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right]\left[\begin{array}{ccc}1&\beta\\2&2\\2-2\beta&4\end{array}\right]$

$8(1-\beta)-[2(2-2\beta)(1-\beta)]$

$8-8\beta-4+8\beta-4\beta^{2}$

$-4\beta^{2}+4\neq 0$

$\beta^{2}\neq 1$

$\beta \neq \sqrt{1}$

β ≠ ±1

For the system to have only one solution, β ≠ 1 or β ≠ -1.

7 0

4 years ago

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?

Luden [163]

Given:

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.

To find:

The volume of the figure.

Solution:

Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.

Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.

If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.

Volume of a cone is

$V=\dfrac{1}{3}\pi r^2h$

where, r is radius of the base and h is vertical height of the cone.

Putting r=6 and h=9, we get

$V=\dfrac{1}{3}\pi (6)^2(9)$

$V=\pi (36)(3)$

$V=108\pi$

Therefore, the volume of the figure is $108\pi$ sq. units.

7 0

3 years ago

Simplify. 32 + 5 × 2 − 8 A) −84 B) 8 C) 11 D) 20

navik [9.2K]

32 + 5 × 2 − 8

32+10-8

42-8= 34

The answer should be 34 but I don't see it up there

4 0

3 years ago

Read 2 more answers

Please help. It’s a picture

Korolek [52]

$260

I don’t know what model/formula you are supposed to be using.

But what I did first was calculated what 30% of 2700$ is.
2700 x .3 = 810

So it depreciates $810 per year.

$810 x. 3 years = 2430

2700 - 2430 = 260

In three years, the laptop will be worth $260

6 0

3 years ago

Dave kicked a ball 42 feet. The

LenaWriter [7]

42 divided by 6 pls give me brainlyliest

5 0

3 years ago