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kap26 [50]
3 years ago
9

Jan creates a pattern using the rule "add 3". Bill creates pattern using the rule "add 6." Which describes the relationship betw

een Jan and Bill's patterns?
Mathematics
2 answers:
Maksim231197 [3]3 years ago
8 0

Answer: a. Each term in Bill's pattern is twice the value of the corresponding item in Jan's pattern.

Step-by-step explanation:

Jan created a pattern by adding 3 and Bill created a pattern by adding 6.

6 is twice the value of 3 so Bill's terms will be twice the value of Jan's corresponding terms as well.

To prove it:

12 is twice the value of 6

18 is twice the value of 9

24 is twice the value of 12

AlekseyPX3 years ago
7 0

Answer:

A

Step-by-step explanation:

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In the accompanying diagram of circle O, chords AB and CD intersect at E. If AE = 3, EB = 4, CE = x, and ED = x + 1, find. CE.
NemiM [27]

Answer:

CE = 3

Step-by-step explanation:

Given:

AE = 3

EB = 4

CE = x

ED = x + 1

Required:

CE

Solution:

First we need to determine the value of x by generating am equation as follows:

CE × ED = AE × EB (Interacting Chords Theorem)

Substitute

x × (x + 1) = 3 × 4

x² + x = 12

Subtract 12 from each side

x² + x - 12 = 12 - 12

x² + x - 12 = 0

Factorize to find the value of x

x² + 4x - 3x - 12 = 0

x(x + 4) -3(x + 4) = 0

(x - 3)(x + 4) = 0

x - 3 = 0

x = 3

Or

x + 4 = 0

x = -4

Let's use the positive value of x

CE = x = 3

8 0
4 years ago
What are the solutions of the equation x4+3x2+2=0? use u substitution to solve
sweet [91]

Answer: x = ± i , x = ±√2i are solution .

Step-by-step explanation:

Given : x^{4} +3x^{2} +2=0, use u substitution to solve.

To find : what are the solutions of the equation .

Solution : We have given that x^{4} +3x^{2} +2=0.

Let consider x^{2} = u .

Substitute u =  x^{2} in given equation .

u^{2} + 3u +2=0.

On factoring

u^{2} + 2u+1u +2=0.

Taking common

u( u+2) +1 (u+2) = 0.

On grouping

(u+1) (u+2) =0

Now, u+1 = 0 ⇒ u = -1.

         u+2 = 0 ⇒ u = -2.

In term of x, plugging x^{2} = u.

x^{2} = -1   ;  x^{2} = -2.

taking square root both side

x = ± i

x = ±√2i.

Therefore, x = ± i , x = ±√2i are solution .

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4 years ago
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