I need help filling out the boxes because I'm not understand the pattern going on.

Answers

Answer 1

Answer: ΔRST: R(-2, -3)
S(0, 2)
T(2, -3)

ΔR'S'T': R'(-6, -9)
S'(0, 6)
T'(6, -9)

S' = 3S
T' = 3T

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I need help on another one 17

The factors of m2 + 12m + 35 are ( ) and ( ). NextReset

Answers

The answer is (m+5) (m+7).

Answer:

(m+7) and (m+5)

Step-by-step explanation:

Just had this on a test

At Southwest HS, the number of student in band is 1 3/4 times the number in orchestra. If 56 students are in orchestra, how many are in band?

Answers

It is important to take note of all the information's that are given in the question. It would be easy to solve the problem based on the information's given in the question.
Number of students in orchestra = 56
The number of students in band is = 1 3/4 times that are in orchestra
Then
Total number of students in band = (7/4) * 56
= 7 * 14
= 98
So 98 students are there playing in the band. I hope the answer and the procedure is clear to you. In future you can use this procedure to solve similar kind of problems without requiring any help from outside.

56 students* (1 3/4)= 98 students.

There are 98 students in the band~

Evaluate the expression 8/d + 3 when d=4

Answers

Answer: 5,

Step-by-step explanation: I got it right, and I hope this helps you! ✨

Answer:

the evaluation of the equation is 5

Step-by-step explanation:

To add fractions, find the LCD and then combine.

If 21 and 22 are complementary angles, and m/1 = 74°; find m22.

Answers

Answer:

The measure of angle 22 is 16 degrees.

Step-by-step explanation:

Complementary angles are angles that add to 90 degrees.

m21 + m22 = 90

74+ m22 = 90

m22 = 90-74

m22 = 16

The measure of angle 22 is 16 degrees.

Factor completely 9r^3-72r^2

Answers

Answer:

9r²(r - 8)

Step-by-step explanation:

Step 1: Write expression

9r³ - 72r²

Step 2: Factor out 9

9(r³ - 8r²)

Step 3: Factor out r²

9r²(r - 8)

A ball is dropped form a height of 100 inches. The ball bounces, each time reaching a lower and lower height. The height of each bounce is 75% of the previous bounce. What height will the ball reach after bouncing four times? How many bounces does it take for the ball to reach a height of less than one inch?

Answers

After the 'n'th bounce, the ball returns to a maximum height of

   (100) times (0.75)^n .

-- After 4 bounces, the maximum height is (100) (0.75)^4 = 31.64 inches.

-- To look for the maximum height of 1 inch,    (100) (0.75)^x = 1

Let's take the log of each side: log(100) + x log(0.75) = 0

Subtract log(100) from each side: x log(0.75) = -log(100)

Divide each side by log(0.75) :     x = -log(100) / log(0.75).

log(100) = 2 . So ... x = -2 / log(0.75) = -2 / -0.124939 = 16.00785

So the ball returns to a slim hair more than 1 inch high on the 16th bounce,
and returns to definitely less than 1 inch high on the 17th bounce.

75% of a number is as much as 3/4 of the same number, so:

1st bounce: 3/4 * 100 = 75
2nd bounce: 3/4 * 75 = 56,25
3rd bounce: 3/4 * 56,25 = 42,1875
4th bounce: 3/4 * 42,1875 = 31,640625
5th bounce: 3/4 * 31,640625 = 23,73046875
6th bounce: 3/4 * 23,73046875 = 17,7978515625
7th bounce: 3/4 * 17,7978515625 = 13,348388671875
8th bounce: 3/4 * 13,348388671875 = 10,01129150390625
9th bounce: 3/4 * 10,01129150390625 = 7,508468627929688
10th bounce: 3/4 * 7,508468627929688 = 5,631351470947266
11th bounce: 3/4 * 5,631351470947266 = 4,223513603210449
12th bounce: 3/4 * 4,223513603210449 = 3,167635202407837
13th bounce: 3/4 * 3,167635202407837 = 2,375726401805878
14th bounce: 3/4 * 2,375726401805878 = 1,781794801354408
15th bounce: 3/4 * 1,781794801354408 = 1,336346101015806
16th bounce: 3/4 * 1,336346101015806 = 1,002259575761855
17th bounce: 3/4 * 1,002259575761855 = 0,7516946818213909

Answers:

After bouncing four times, the ball will reach a height of 31,640625 inches.
The ball will reach a height of less than one inch after 17 bounces.

PS: I know it's kind of a walk-around, by it still gives us the answer :)

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