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zhuklara [117]
3 years ago
8

P=−4b 2 +6b−9 Q=7b 2 −2b−5 ​P−Q= Your answer should be a polynomial in standard form.

Mathematics
1 answer:
shepuryov [24]3 years ago
3 0

Answer:

−11b^2+8b−4

Step-by-step explanation:

−4b2+6b−9−7b2+2b+5

Simplify by adding terms.

11b2+8b−4

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Help!!!!!! Will give Brainlist answer!!!! 3 parts pls thank you so much
wariber [46]
Part A
The small red arcs indicate that angles PQS and RQS are congruent.

13x - 1 = 2(6x + 4)

13x - 1 = 12x + 8

x = 9

m<PQR = 13x - 1 = 116

m<RQS = 6x + 4 = 6(9) + 4 = 58

m<PQS = 116 - 58 = 58

Part B

12^2 + (OH)^2 = 13^2

144 + (OH)^2 = 169

(OH)^2 = 25

OH = 5

r = OH = 5

Part C

WZ/ZY = WX/XY

24/12 = 30/XY

2 = 30/XY

2(XY) = 30

XY = 15
6 0
3 years ago
A poster is to have an area of 240 in^2 with 1 inch margins at the bottom and sides and a 2 inch margin at the top. Find the exa
Vsevolod [243]

Answer:

  4√10 inches wide by 6√10 inches tall

Step-by-step explanation:

"Poster area" problems have an interesting general solution. The "printed area" is maximized, or the "poster area" is minimized, when the ratio of poster dimensions is equal to the ratio of margin dimensions.

Here, the top/bottom margins total 3 inches, and the side/side margins total 2 inches. That is, the printed area will be maximized when the poster has a width : height aspect ratio of 2 : 3. If w represents the width, then the total area is ...

  (w)(3/2w) = 240 . . . . square inches

  w^2 = 160

  w = √160 = 4√10 . . . . width in inches

Then the height is ...

  height = (3/2)w = (3/2)(4√10) = 6√10 . . . . height, inches

_____

<em>Graphical solution</em>

A graphing calculator gives the same result for x=width. Poster width is about 12.649 inches (=4√10), and printed area is a maximum of about 170.1 square inches.

_____

<em>Calculus solution</em>

Let x represent the width of the poster. Then x-2 is the width of the printed area. The height of the poster will be 240/x, and the height of the printed area will be (240/x)-3. We want to maximize the printed area ...

  a = (x -2)(240/x -3)

which means we want to find the value of x where the area derivative is zero.

  a = 240 -480/x -3x +6

  da/dx = 0 = 480/x^2 -3

Solving for x, we get ...

  x^2 = 480/3 = 160

  x = √160 = 4√10 . . . . . poster width, as above

3 0
3 years ago
I will give points to those who send me friend requests<br> Like me and give requests
Genrish500 [490]

Alright! Same here!!

5 0
3 years ago
Fill in the blank. Give O below, you can conclude that DF is congruent to _____.
lakkis [162]

Answer:

B. BC

Step-by-step explanation:

4 0
3 years ago
What are common factors of 18 roses and 30 what do they represent
VashaNatasha [74]

The common factors of the numbers 18 and 30 is 6

<h3>How to determine the common factors of the numbers?</h3>

The numbers are given as

18 and 30


Express 18 and 30 as a product of its factors

So, we have

18 = 2 * 3 * 3

30 = 2 * 3 * 5

Multiply the common factors in the above expression

Common factors = 2 * 3

Evaluate the product

So, we have

Common factors = 6

Hence, the common factors of the numbers 18 and 30 is 6

Read more about common factors at

brainly.com/question/219464

#SPJ1

3 0
1 year ago
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