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Hunter-Best [27]
3 years ago
12

10x + 10y = −10 9x + 10y = −18

Mathematics
2 answers:
Anna71 [15]3 years ago
6 0

Answer:

(8,-9)

Step-by-step explanation:

andreev551 [17]3 years ago
5 0

Answer:

Step-by-step explanation:

10x+10y=-10

9x+10y=18

= 10x+10y=-10

-9x-10y=18

= x=8

step two is to find y:

10x+10y=-10

10(8)+10y=-10

80+10y=-10

10y=-90

y=-9

your answer:

(x,y)= (8,-9)

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For what value(s) of k will the relation not be a function?<br> A = {(3k−4, 16), (4k, 32)}
KiRa [710]

We won't have a function if for same value of x in (x,y) we get different values y.

So first step: figure out k so that the first coordinate (x) is the same:

3k-4=4k    | solve for k

k = -4

no check the values y for the elements of the relation

x = 3k-4 = -12-4=-16

so at -16 we get (-16,16) and (-16, 32), which mean for k=-4 the relation is not a function.

Let me know if you have any questions.


7 0
3 years ago
Read 2 more answers
The expression 3^2*3^3*3^4 is equivalent to?<br> Show all your work please
loris [4]
Cool! So OK I'll take you through it.
You just need to take everything 1 step at a time, as you might already know.

First
3 to the second is 9

Second
The first part included like this 9*(3 to the third) which is 243

Third
The second part is included into the question like 243*(3 to the fourth) which is 243*81

Fourth
243*81 = 19,683

Your Answer
(3^2)*(3^3)*3^4) = 19,693

Hope That Helps and Correct Me If I'm Wrong!

3 0
3 years ago
Read 2 more answers
Order the side lengths from least to greatest
Liula [17]

Answer:

BC < CE < BE < ED < BD

Step-by-step explanation:

In the triangle BCE,

m∠BEC + m∠BCE + m∠CBE = 180°

m∠BEC + 81° + 54° = 180°

m∠BEC = 180 -  135

m∠BEC = 45°

Order of the angles from least to greatest,

m∠BEC < m∠CBE > mBCE

Sides opposite to these sides will be in the same ratio,

BC < CE < BE ----------(1)

Now in ΔBED,

m∠BEC + m∠BED = 180°

m∠BED = 180 - 45

             = 135°

Now, m∠BDE + m∠BED + DBE = 180°

11° + 135°+ m∠DBE = 180°

m∠DBE = 180 - 146

             = 34°

Order of the angles from least to greatest will be,

∠BDE < ∠DBE < ∠BED

Sides opposite to these angles will be in the same order.

BE < ED < BD ----------(2)

From relation (1) and (2),

BC < CE < BE < ED < BD

7 0
3 years ago
Consider the sequence 3, 6, 12, 24, 48, .... (a) Write a recursive rule to represent the sequence. (b) Write an explicit rule to
saveliy_v [14]

Answer:

  a. a[1] = 3; a[n] = 2a[n-1]

  b. a[n] = 3·2^(n-1)

  c. a[15] = 49,152

Step-by-step explanation:

Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.

The first term is 3, and the common ratio is 2.

<h3>(a)</h3>

The recursive rule is ...

  a[1] = 3

  a[n] = 2×a[n-1]

__

<h3>(b)</h3>

The explicit rule is ...

  a[n] = a[1]×r^(n-1)

  a[n] = 3×2^(n-1)

__

<h3>(c)</h3>

The 15th term is ...

  a[15] = 3×2^(15-1) = 3×2^14

  a[15] = 49,152

5 0
3 years ago
Find the number of combinations for choosing two people from six.
Talja [164]
Number of combinations = (6x5) ÷ 2 = 15

Answer:There are 15 combinations
7 0
3 years ago
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