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3 years ago

75a ²c– 45a ²d - 30bc + 18bd

Mathematics

1 answer:

telo118 [61]3 years ago

8 0

Answer:

(25a2c - 15a2d - 10cb + 6db)

Step-by-step explanation:

Equation at the end of step 1: (((75•(a2))•c)-((32•5a2)•d))-30cb)+18db

STEP 2:Equation at the end of step2: ((((3•52a2) • c) - (32•5a2d)) - 30cb) + 18db

STEP3:

STEP 4:Pulling out like terms

4.1 Pull out like factors :

75a2c - 45a2d - 30cb + 18db =

3 • (25a2c - 15a2d - 10cb + 6db)

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Write a recursive formula for each explicit formula

Crazy boy [7]

Answer:

38. $a_1=107,\ a_n=a_{n-1}-1$

40. $a_1=87,\ a_n=a_{n-1}+52$

Step-by-step explanation:

38. <u>Given explicit formula:</u>

$a_n=108-n$

When $n=1,$ then $a_1=108-1=107$

When $n=2,$ then $a_2=108-2=106$

When $n=3,$ then $a_3=108-3=105$

When $n=4,$ then $a_4=108-4=104$

and so on

You can see that each next number is 1 less than previous number, so the recursive formula is

$a_n=a_{n-1}-1$

40. <u>Given explicit formula:</u>

$a_n=35+52n$

When $n=1,$ then $a_1=35+52\cdot 1=87$

When $n=2,$ then $a_2=35+52\cdot 2=139$

When $n=3,$ then $a_3=35+52\cdot 3=191$

When $n=4,$ then $a_4=35+52\cdot 4=243$

and so on

You can see that each next number is 52 more than previous number, so the recursive formula is

$a_n=a_{n-1}+52$

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3 years ago

How come my shirt smells like bleach even tho i just took a massive dump

Nonamiya [84]

Answer:

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3 years ago

Зp + 8 = 14 what does negative equal

aleksklad [387]

Answer:

p=2

Step-by-step explanation:

14-8=6

3p=6

6/3=2

p=2

8 0

3 years ago

Line AB has endpoints A(-4,5) and B(3,5). What is the x-coordinate of a point C such that B is the midpoint of line AC

Ipatiy [6.2K]

Easy peasy

the midpoint between $(x_1,y_1)$ and $(x_2,y_2)$ is
$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$
just average them

so given that (3,5) is the midpoint of (-4,5) and (x,y)
$(\frac{-4+x}{2},\frac{5+y}{2})=(3,5)$
so by logic
$\frac{-4+x}{2}=3$ and $\frac{5+y}{2}=5$
times both sides by 2 for everybody
-4+x=6 and 5+y=10
add 4 to both sides for left one and minus 5 from both sides for right
x=10 and y=5

the coordinate of point C is (10,5)
the x coordinate is 10

7 0

4 years ago

Solve the problems from 4-6

lara31 [8.8K]

4. B

5. B

6. D

Step-by-step explanation:

4. The radius is 3 units (3 boxes). So you do pi*r^2 = 3.14*9

5. You want the area of the box minus the area of the two circles.

Height of the box is 8 (bottom of circle to the top is two times the radius). Width of the box is 16 (left end of the left circle to the right end of the right circle) so 4 times the radius of the circles. Area of box is 128

Area of each circle is 3.14*(16). So you do 128 - 2*3.14*16.

6. Just plug in the radius 9 to the area of a circle formula: pi*radius^2 = 81*pi

4 0

3 years ago