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Aneli [31]
3 years ago
11

How are arithmetic and geometric sequences similar?

Mathematics
1 answer:
Schach [20]3 years ago
6 0
Because they both have ratio consecutive terms constant
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The height of the triangle is 3 meters longer than twice its base. Find the base and height if the area is 8 square meters. Roun
polet [3.4K]

9514 1404 393

Answer:

  • base: 2.18 m
  • height: 7.35 m

Step-by-step explanation:

Let b represent the base of the triangle in meters. Then the height is ...

  h = 3 +2b

and the area is ...

  A = 1/2bh

  8 = 1/2(b)(3 +2b)

  16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses

  2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square

  2(b +3/4)^2 = 17.125

  (b +3/4)^2 = 8.5625 . . . . . divide by 2

  b + 0.75 = √8.5625 ≈ 2.9262

  b = -0.75 +2.9262 = 2.1762

  h = 3 +2b = 7.3523

The base is about 2.18 meters and the height is about 7.35 meters.

3 0
3 years ago
Y=x^2+bx+c;(-2,3)
Maksim231197 [3]
<h3>Answer:  b = 4 and c = 7.</h3>

===============================================

Explanation:

Comparing y = x^2+bx+c to y = ax^2+bx+c, we see that a = 1.

The vertex given is (-2,3). In general, the vertex is (h,k). So h = -2 and k = 3.

Plug those three values into the vertex form below

y = a(x-h)^2 + k

y = 1(x-(-2))^2 + 3

y = (x+2)^2 + 3

Then expand everything out and simplify

y = x^2+4x+4 + 3

y = x^2+4x+7

We see that b = 4 and c = 7.

8 0
2 years ago
PLEASE HELP ;)<br> Who did it right?<br><br> Find the slope of the line perpendicular to 2x+3y=8
levacccp [35]

Answer:

Marissa.

Step-by-step explanation:

To find perpendicular slope you basically take the slope of the given line and reverse whatever sign it had previously. (If it was negative, it would become positive. If it was positive it would become negative.)

By doing -A/B it make the previous slope negative.

Brandon only flipped the fraction which would just result in the slope being slightly steeper, or in this case, less steep than the previous line, rather than making it perpendicular.

Hope this helps! Stay safe and if you have any questions feel free to ask!

6 0
3 years ago
Determine the horizontal, vertical, and slant asymptotes: y=x2+2x-3/x-7
densk [106]

Answer:

  • vertical asymptote: x = 7
  • slant asymptote: y = x+9

Step-by-step explanation:

The vertical asymptotes are found where a denominator factor is zero (and there is no corresponding numerator factor to cancel it). Here, that is at x = 7.

There is no horizontal asymptote because the numerator is of higher degree than the denominator.

When you divide the numerator by the denominator, you get ...

  y = (x +9) +60/(x -7)

Then when x gets large, the behavior is governed by the terms not having a denominator: y = x +9. This is the equation of the slant asymptote.

3 0
3 years ago
38 ONLY-Please help me answer the following Questions and will give thx or stars
Simora [160]

Answer:

8, 133, 47, 43, 90 (remember to put degree symbols!)

Step-by-step explanation:

i added all of the work and explanations in this files! if you still have questions feel free to comment or message :)

3 0
3 years ago
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