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creativ13 [48]
3 years ago
10

9(2a – b)2 – 4(2a – b) – 13

Mathematics
1 answer:
elena-s [515]3 years ago
3 0
18(2a-b)-4(2a-b)-13
=36a-18b-8a+4b-13
Rearrange
=36a-8a-18b+4b-13
=28a-14b-13
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About how many inches are equivalent to 3 meters
Zielflug [23.3K]

Answer:

About 118.11

Step-by-step explanation:

7 0
3 years ago
Which statement about the figure MUST be true? Select all that apply.
olga55 [171]
<h2>○=> <u>Correct options</u> :</h2><h2>□\color{plum}\tt\bold{(C) \: SR = 27}</h2><h2>□\color{plum}\tt\bold{(D) \: QR = 54 }</h2><h3><u>Steps to derive the correct options</u> :</h3>

Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.

Which means :

▪︎Angle S = Angle S

▪︎PS = PS

▪︎QS = RS

Given :

Measure of segment QS = 6n+3

Measure of segment RS = 4n+11

Thus :

= \tt6n + 3 = 4n + 11

= \tt6n + 3 - 4n = 11

=\tt 2n + 3 = 11

= \tt2n = 11 - 3

= \tt2n = 8

=\tt n =  \frac{8}{2}

\hookrightarrow\color{plum}\tt n = 4

Thus, the value of n = 4

Measure of segment QS :

=\tt 6n + 3

= \tt6 \times 4 + 3

= \tt24 + 3

\color{plum}\tt \: \bold{QS = 6n + 3 = \tt\bold{27}}

Thus, measure of QS = 27

Measure of RS :

=\tt 4n + 11

=\tt 4 × 4 + 11

=\tt 16+11

\color{plum}\tt \: \bold{RS = 4n + 11 = \tt\bold{27}}

Measure of QR :

=\tt 27+27

\color{plum}\tt \: \bold{QR = 27+27 \tt\bold{=54}}

Thus :

▪︎QS = 27

▪︎RS = 27

▪︎QR = 54

Therefore, the correct options are :

▪︎(C) SR = 27

▪︎(D) QR = 54

7 0
3 years ago
An arithmetic sequence has this recursive formula:
horsena [70]

Answer:

\text{\bf{C.}}\quad a_n=4+(n-1)(-7)

Step-by-step explanation:

An arithmetic sequence that is described by the explicit formula ...

  a_n=a_1+(n-1)d

can also be described by the recursive formula ...

  \left \{\begin{array}{l}a_1=\text{(first term)}&a_n=a_{n-1}+d&\end{array}\right.

Matching parts of the formulas, we see that a1 = 4, d = -7. Putting these values into the explicit formula gives ...

a_n=4+(n-1)(-7)

4 0
3 years ago
Ir AB - 4x + 9. BC = 5x + 2, and AC - 56. then find the value for x, AB, BC.
tiny-mole [99]

Answer:

A B - 4 x + 9 B C = 5 x + 2 = A = 9 x/ B + 2/ B − 9 C

A C − 56 = A = 9 x /B + 2/ B − 9 C

x=A=9x/B+2x/B-9C

I hope this helps

6 0
3 years ago
Read 2 more answers
20. Solve the equation x2 - 17x + 72 = 0.
Rina8888 [55]

Answer:

x=8,9

Step-by-step explanation:

x^2-17x+72=0

(x-8)(x-9)=0

x=8,9

3 0
3 years ago
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