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2 years ago

Match the two numbers with their least common multiple (LCM).

Mathematics

2 answers:

astra-53 [7]2 years ago

7 0

Answer:

Step-by-step explanation:

6 and 4 : LCM is 12

6 and 8: LCM is 24

6 and 10 LCM is 30.

Dima020 [189]2 years ago

4 0

6&4: option C
6&8: optionA
6&10: option B

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Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar

Brrunno [24]

The distance between the two points is $d=8.6m$

The polar coordinate of A is $\left(4.47,296.57\right)$

The polar coordinate of B is $\left(4.24,135\right)$

Explanation:

The two points are $A(2,-4)$ and $B(-3,3)$

The distance between two points is given by,

$d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6$

Thus, the distance between the two points is $d=8.6m$

The polar coordinates of A can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $A(2,-4)$ , we get,

Distance = $\sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43$

To make the angle positive, let us add 360,

$\theta=360-63.43=296.57$

The polar coordinate of A is $\left(4.47,296.57\right)$

Similarly, The polar coordinate of B can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $B(-3,3)$ , we get,

Distance = $\sqrt{(3)^{2}+(3)^{2}}=4.24$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45$

To make the angle positive, let us add 360,

$\theta=180-45=135^{\circ}$

The polar coordinate of B is $\left(4.24,135\right)$

5 0

3 years ago

Subtract - 8 from 18. The answer is

marissa [1.9K]

Answer:

Step-by-step explanation:

18-8=10

3 0

3 years ago

What’s the coordinates for Y-3>2x+2 on a graph?

seropon [69]

Hmm the answer would be Yx3-10=43

5 0

2 years ago

You design the wooden picture frame and paint the front surface.

Hitman42 [59]

Answer:

a) 8x + 28
b) 68 in²

Step-by-step explanation:

Area of the frame with picture:

A = lw
A₁ = (x + 4)(x + 7) = x² + 11x + 28

Area of the picture:

A₂ = x(x + 3) = x² + 3x

Area of the wooden frame is the difference of the above values:

A₃ = A₁ - A₂
A₃ = x² + 11x + 28 - x² - 3x
= 8x + 28

When x = 5, the picture frame area is:

A₃ = 8*5 + 28 = 40 + 28 = 68 in²

4 0

2 years ago

Read 2 more answers

X = 1/2at^2 Solve for t. 1. 2. 3. 4.

mash [69]

Answer:

sqrt(2x/a) = t

Step-by-step explanation:

X = 1/2at^2

Multiply by 2 on each side

2x = 2*1/2at^2

2x =at^2

Divide by a

2x/a=a/a t^2

2x/a =t^2

Take the square root of each side

sqrt(2x/a) =sqrt(t^2)

sqrt(2x/a) = t

4 0

3 years ago