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FinnZ [79.3K]
3 years ago
11

Help with this please

Mathematics
1 answer:
Paha777 [63]3 years ago
6 0
I think it is B 
hope this helps

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Write an expression in simplest form the perimeter of the figure ?
kondor19780726 [428]

Answer:

4+11a+8b

Step-by-step explanation:

1) 4+3a+2b+6b+5a+3a

2) 3a+3a+5a=11a. 2b+6b=8b

5 0
3 years ago
A rectangle has its base on the x axis and its upper two vertices on the parabola y = 9 − x2. (a) Draw a graph of this problem.
gtnhenbr [62]

Answer:

  • (a) see attached
  • (b) width: 2x; height: y = 9-x²
  • (c) A=2x(9-x²) . . . 0 ≤ x ≤ 3
  • (d) dA/dx = -6x² +18; x=±√3
  • (e) 12√3 units²

Step-by-step explanation:

(a) The attachment shows the graph of the parabola in blue. It also shows an inscribed rectangle in black.

(b) The upper right point of the rectangle is shown in the attachment as (x, y). The dimension y is the height of the rectangle. The x-dimension is half the width of the rectangle, which is symmetrical about the y-axis. Hence the width is 2x.

(c) As with any rectangle, the area is the product of length and width:

... A = (2x)(9 -x²) . . . . . the attachment shows a graph of this

... A = -2x³ +18x . . . . . expanded form suitable for differentiation

A suitable domain for A is where both x and A are non-negative: 0 ≤ x ≤ 3.

(d) The derivative of A with respect to x is ...

... A' = -6x² +18

This is defined everywhere, so the critical values will be where A' = 0.

... 0 = -6x² +18

... 3 = x² . . . . . . . divide by -6, add 3

... √3 = x . . . . . . . -√3 is also a solution, but is not in the domain of A

(e) The rectangle will have its largest area where x=√3. That area is ...

... A = 2x(9 -x²) = 2√3(9 -(√3)²) = 2√3(6)

... A = 12√3 . . . . square units . . . . ≈ 20.785 units²

7 0
3 years ago
PWEASE HELP IF YOUBARE GOOD AT MATH
Novosadov [1.4K]
<h3>Answer: 2</h3>

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

Explanation:

The function f(x) = -4x+1 is the same as y = -4x+1 where y = f(x)

Compare this to y = mx+b and we see the slope here is m = -4

---------

Now let's find the slope of g(x)

use the slope formula with any two rows you want. I'll pick on the last two rows.

m = (y2-y1)/(x2-x1)

m = (21-9)/(3-1)

m = 12/2

m = 6 is the slope of g(x)

---------

From here, we add the two slope values

(slope of f)+(slope of g) = -4+6 = 2

3 0
3 years ago
Please solve the table correctly.
Hitman42 [59]

Answer:

See below.

Step-by-step explanation:

No. Triangles       Perimeter

 1                                  14

2                                  18

3                                  22

We see from the table, after the first  perimeter  (= 14),  with  each increase of 1 in the number of triangles,  the perimeter increases by 4.

As an equation it is  P = 14 + 4(n - 1)  where P = perimeter and n = number of triangles.

4 0
3 years ago
Nancy walked 2 kilometers from her house to the library, how many decimeter did she walk
Colt1911 [192]
That would be 2000 decimated beacuse 1kilometere = 1000 decimeters
5 0
3 years ago
Read 2 more answers
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