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maksim [4K]
3 years ago
9

Ling created an arithmetic sequence that starts with 5 and then adds 8. find the 6th term in this sequence.

Mathematics
1 answer:
Anni [7]3 years ago
4 0
a_1=5\\d=8\\\\a_n=a_1+(n-1)d\\\\a_n=5+(n-1)\cdot8=5+8n-8=8n-3\\\\a_6=8\cdot6-3=48-3=45
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If the area of a rectangular garden is 45x^2−12x square meters, and it has a length of 3x meters, what is its width?
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8 0
3 years ago
Question 5 30 points
IRINA_888 [86]

Answer:

y = 1/2x + 2

Explanation:

The line intercepts the y-axis at 2, so that would be "b" using the slope-intercept formula y = mx + b. (I won't explain the slope as I am tired now.)

5 0
3 years ago
-3(-3x-7)=48 please show work
nlexa [21]

<u>Answer:</u>

  • x = 3

<u>Step-by-step explanation:</u>

  • -3(-3x - 7) = 48
  • => 9x + 21 = 48
  • => 9x = 48 - 21
  • => 9x = 27
  • => x = 3

<u>Conclusion: </u>

Therefore, the answer is 'x = 3'.

Hoped this helped

BrainiacUser1357

4 0
3 years ago
Read 2 more answers
Rectangle A has one side which is 6cm long and the other is (x+2)cm long. Rectangle Y has sides of length (2x+1) and 3cm, If the
gregori [183]
Hello, 

Rectangle A:           6cm                  (x+2)cm
Rectangle B:           3cm                  (2x+1)cm

The formula for the perimeter of a rectangle is: P=2(base+height)

Then:

P_A=2(b+h) \\ P_A=2*[6+(x+2)] \\ P_A=2*(x+8) \\ P_A=2x+16 \\  \\  \\ P_B=2(b+h) \\ P_B=2*[3+(2x+1)] \\ P_B=2*(2x+4) \\ P_B=4x+8&#10;

But we know that the perimeters are the same, so:

P_A=P_B \\ 2x+16=4x+8 \\ 8=2x \\ \boxed{x=4} \\  \\ Replacing:  \\  \\ Lenght\,\,of\,\,A=(x+2)cm\\ Lenght\,\,of\,\,A=(4+2)cm\\ \boxed{Lenght\,\,of\,\,A=6cm}\\  \\ Lenght\,\,of\,\,B=(2x+1)cm\\ Lenght\,\,of\,\,B=(2*4+1)cm\\ \boxed{Lenght\,\,of\,\,B=9cm}

With the answer of A, we realize that this figure is actually a square.
4 0
4 years ago
5. A magic kit regularly priced at $15.30 is 70% off the regular price. What is the DISCOUNT?
densk [106]

Answer:

B. $10.71

Step-by-step explanation:

15.30 x 0.7 = 10.71

4 0
3 years ago
Read 2 more answers
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