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Katyanochek1 [597]
3 years ago
14

ABCD. If AB=5x and CD=3x + 10, find CD A. 25 B. 2 C. 5 D. 20

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
4 0

Answer:

c

Step-by-step explanation:

cestrela7 [59]3 years ago
3 0

Answer:

A.25

Step-by-step explanation:

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Write a recursive formula and an explicit formula for the following arithmetic sequence.
xenn [34]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

11, 13, 15, 17, 19, ...

Determining the Recursive formula:

We know that a recursive formula is termed as a formula that specifies each term of the given sequence using the preceding terms.

From the given sequence it is clear that every term can be obtained by adding two to the previous term.

i.e. 13 = 11+2, 15 = 13+2, 17 = 15+2, 19 = 17+2

so

aₙ₊₁ = aₙ+2, for n ≥1

Therefore, a recursive formula is:

  • aₙ₊₁ = aₙ+2, for n ≥1

Determining the Explicit formula:

Given the sequence

11, 13, 15, 17, 19, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

3-11=2,\:\quad \:15-13=2,\:\quad \:17-15=2,\:\quad \:19-17=2

The difference between all the adjacent terms is the same and equal to

d=2

also

a_1=11

so substituting d=2, a_1=11 in the nth terms

a_n=a_1+\left(n-1\right)d

a_n=2\left(n-1\right)+11

a_n=2n+9

Therefore, the Explicit formula is:

a_n=2n+9

4 0
3 years ago
The formula a=46c gives the floor area a in square meters that can be wired using c circuit
kramer
a=46c
\\
\\c= \frac{a}{46} 
\\
\\
\\a=322
\\
\\c= \frac{322}{46} 
\\
\\c=7
6 0
3 years ago
F(x) = 3x + 12, g(x) = 3x - 1;<br> =<br> =<br> Find (fºg)(x).
MissTica

\text{Given that,}\\\\f(x) = 3x +12, ~ ~ g(x) = 3x -1\\\\(f \circ g)(x)\\\\=f(g(x))\\\\=f(3x-1)\\\\=3(3x-1) +12\\\\=9x - 3 +12\\\\=9x +9\\\\=9(x+1)

3 0
2 years ago
Find the x- and y-intercepts for the linear equation.<br> – 3x + 5y = 15
Paladinen [302]

Answer:

x-intercept: (-5,0)

y-intercept: (0,3)

Step-by-step explanation:

y-intercept: when x = 0

-3(0) + 5y = 15

5y = 15

y = 3

x-intercept: when y = 0

-3x + 5(0) = 15

-3x = 15

x = -5

6 0
3 years ago
Read 2 more answers
Which number line shows 1.5 graphed?
Mamont248 [21]

Answer:

The third one down

Step-by-step explanation:

6 0
2 years ago
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