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stira [4]
2 years ago
7

Find mZKJL. K 7x (3x + 16)0M mZKJL =

Mathematics
1 answer:
galina1969 [7]2 years ago
7 0

Answer:

The answer is 28.

Step-by-step explanation:

Ok.

☆7x and 3x + 16 are congruent, meaning they equal the same.

☆Since they are equal, we can make an equation out of then.

7x = 3x + 16

☆Then we just solve.

\:  \:  \:  \:  \:  \:  \:  \:  \: 7x = 3x + 16 \\   \frac{- 3x =  - 3x}{4x = 16}  \\  \\  \frac{4x}{4}  =  \frac{16}{4}  \\  \\ x = 4

☆Therefore, x equals 4.

☆We are solving for m<KJL so all we need to do is plug in.

7x \\ 7(4) \\ 28

☆You answer is 28.

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2 years ago
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g 1.32 Two points on a sphere of radius 3 are given as P1(3,0,30) and P2(3,45,45): (a) Find the position vectors of P1 and P2. (
Rama09 [41]

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a) P.V  of is OP₁ = [ 1.5i + 0j + 2.6k ],   P.V  of is OP₂ = [ 1.5i + 1.5j + 2.12k ]

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c) cylindrical coordinates are (1.5, π/2, 0.48)

Step-by-step explanation:

Given that;

r = 3

P₁ ( 3, 0°, 30° ),   P₂ ( 3, 45°, 45° )

a)

P.V of P₁

x = rcos∅sin∅ = 3(cos0°) ( sin30°) = (3 × 1 × 0.5) = 1.5

y = rsin∅sin∅  = 3(sin0°) (sin30°)   = (3 × 0 × 0.5) = 0

z = rcos∅        = 3(cos30°)             = ( 3 × 0.866)  = 2.6

∴ P.V  of is OP₁ = [ 1.5i + 0j + 2.6k ]

P.V of P₂

x = rcos∅sin∅ = 3(cos45°) ( sin45°) = (3 × 0.7071 × 0.7071) = 1.5

y = rsin∅sin∅  = 3(sin45°) (sin45°)   = (3 × 0.7071 × 0.7071) = 1.5

z = rcos∅        = 3(cos45°)                 = ( 3 × 0.7071)            = 2.12

∴ P.V  of is OP₂ = [ 1.5i + 1.5j + 2.12k ]

b)

Vector connecting P₁ to P₂ is given by

OP₂ - OP₁ = [ 1.5i + 1.5j + 2.12k ] - [ 1.5i + 0j + 2.6k ]

= [ 0i + 1.5j + 0.48k ]  

c)

P₁P₂ → = [ 0i + 1.5j + 0.48k ]  = [ 1.5j + 0.48k ]  

so in a cylindrical coordinate, it should be

r = √(o² + 1.5²) = 1.5

∅ = tan⁻¹[y/π] = π/2

z = 0.48

cylindrical coordinates are (1.5, π/2, 0.48)

5 0
3 years ago
Eight times a number increased by 9 exceeds 7 times the number by 15. Find the number.
Alborosie
Turn it into math terms bit by bit. let x be "a number"

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by 15 is =15

now we put it together.

8 \times x + 9 - 7 \times x = 15
solve
8x + 9 - 7x = 15 \\ x + 9 = 15 \\ x = 6
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