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ElenaW [278]
3 years ago
6

Which of the following equations represents the line with a slope of 2/3 and a y-intercept of 9?

Mathematics
1 answer:
Olegator [25]3 years ago
4 0

y = mx + b where m = slope and b = y intercept

In this case, it's given a slope of 2/3 and a y-intercept of 9

So equation y = 2/3 x + 9

Answer

y = 2/3 x + 9

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A​ ​piece​ ​of​ ​rope​ ​94.2​ ​inches​ ​long​ ​will​ ​enclose​ ​a​ ​circular​ ​child’s​ ​wading pool. What​ ​is​ ​the​ ​diameter
Elis [28]
The circumference of a circle is pi times D. So, 94.2/pi = 29.98 or about 30 in
4 0
3 years ago
Last week, there were 420 new subscribers to a Web site. This week, the number of new subscribers decreased by 5%. How many new
zlopas [31]

Answer:

x = 399 new subscribers

Step-by-step explanation:

Let 420 = 100%

          x = 95%

420*95 = 100x

x = 420*95/100

x = 399 new subscribers

3 0
3 years ago
Do diagonals of a rhombus bisect the vertex angles???
katrin [286]

Answer:

Yes, one of a rhombus's properties is that the diagonals bisect vertex angles.


7 0
3 years ago
1. You are given the 3rd and 5th term of an arithmetic sequence. Describe in words how to determine the general term.
kozerog [31]

Step-by-step explanation:

1. In an arithmetic sequence, the general term can be written as

xₙ = y + d(a-1), where xₐ represents the ath term, y is the first value, and d is the common difference.

Given the third term and the fifth term, and knowing that the difference between each term is d, we can say that the 4th term is x₃+d and the fifth term is the fourth term plus d, or (x₃+d)+d =

x₃+2d. =x₅ Given x₃ and x₅, we can subtract x₃ from both sides to get

x₅-x₃ = 2d

divide by 2 to isolate d

(x₅-x₃)/2 = d

This lets us solve for d. Given d, we can say that

x₃ = y+d(2)

subtract 2*d from both sides to isolate the y

x₃ -2*d = y

Therefore, because we know x₃ and d at this point, we can solve for y, letting us plug y and d into our original equation of

xₙ = y + d(a-1)

2.

Given the third and fifth term, with a common ratio of r, we can say that the fourth term is x₃ * r. Then, the fifth term is

x₃* r * r

= x₃*r² = x₅

divide both sides by x₃ to isolate the r²

x₅/x₃ = r²

square root both sides

√(x₅/x₃) = ±r

One thing that is important to note is that we don't know whether r is positive or negative. For example, if x₃ = 4 and x₅ = 16, regardless of whether r is equal to 2 or -2, 4*r² = 16. I will be assuming that r is positive for this question.

Given the common ratio, we can find x₆ as x₅ * r, x₇ as x₅*r², and all the way up to x₁₀ = x₅*r⁵. We don't know the general term, but can still find the tenth term of the sequence

8 0
3 years ago
What is the surface area of this square pyramid
JulsSmile [24]

Answer:

Surface area of square pyramid shown in picture:

A = area of 4 triangles + area of square

  = 4 x 4 x 3 x (1/2) + 3 x 3

  = 33 (ft)

=> Option 4 (last one) is correct

Hope this helps!

:)

3 0
3 years ago
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