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3 years ago

(a-3b)^5 expand the binomial please

1 answer:

6 0

Expand the binomial:
( a - 3 b ) ^5 =
= a^5 - 5 * a^4 * ( 3 b ) + 10 * a^3 ( 3 b ) ^2 - 10 * a^2 ( 3 b)^3 + 5 *a*( 3 b ) ^4 -
- ( 3 b )^5 =
= a^5 - 15 a^4 b + 90 a^3 b^2 - 270 a^2 b^3 + 405 a b^4 - 243 b^5

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11. Given: TQ bisects ZRTP, QS || PT RT = 30. Find QP, RS and QS

yaroslaw [1]

QP=24 cm

RS=11.25 cm

QS=18.75 cm

Explanation:

Given that TQ bisects <RTP

$therefore$ (1)

consider ΔRQS and ΔRPT

QS||PT,RP and RT are transversals

(alternate angles)(2)

comparing (1) and (2)

and triangle SQT is isocelus

Therefore SQ=ST(sides opposite to equal angles in an isocelus triangle)

Therefore <RQS=<RPT(corresponding angles)

<RSQ=<RTP(corresponding angles)

therefore by AA criterion for similarity

ΔRQS~ΔRPT

According to the property of similar triangles

$RQ/RP=RS/RT=QS/PT$ $9/RP=X/30=QS/50\\9/RP=X/30=(30-X)/50\\X/30=(30-X)/50\\50X=30(30-X)\\50X=900-30X\\50X+30X=900\\80X=900\\X=900/80=11.25\\RS=11.25 cm\\QS=30-X=30-11.25\\QS=18.75 cm\\9/RP=X/30\\9/RP=11.25/30\\9*30/11.25=RP\\RP=24 cm$

3 0

3 years ago

Kendra earns $70 per week mowing lawns. She saves 60% of the money she earns each week. How many weeks will it take Kendra to sa

katrin [286]

Answer:

5 weeks

Step-by-step explanation:

Let's find how much money she saves a week by multiplying the decimal form of 60% and $70.

To get the decimal form of a percent you have to move the decimal to the left twice, like this: 60 ---> .60

Now that we have the decimal form of the percent we can multiply it by the 70 to find how much she saves a week:

(70)(.6) = 42

Therefore, Kendra saves $42 each week.

To find how many weeks it will take Kendra to buy the game system you divide $210 by the $42. Like this:

(210)/(42) = 5

All in all, it will take Kendra 5 weeks to save enough money to buy a game system that costs $210.

I hope this helps!!

- Kay :)

4 0

3 years ago

Read 2 more answers

Two sides of a triangle have lengths 6 cm and 6cm describe the possible lengths of the third side

Rashid [163]

Answer:

0 < x < 12

Step-by-step explanation:

Since it's given that side a and side b both have a length of 6, side c has to be 0 < x < 12.

6 0

3 years ago

Find the probability of 5 successes in 9 trials of a

erik [133]

Answer:

13.8%

Step-by-step explanation:

P = nCr pʳ qⁿ⁻ʳ

P = ₉C₅ (0.37)⁵ (1−0.37)⁹⁻⁵

P ≈ 0.138

3 0

3 years ago

I need help,please.this is an interior angle problem.

natali 33 [55]

Answer:yes

Step-by-step explanation:

<BAC=<BDE

<BCA=BED

4 0

3 years ago