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Sophie [7]
4 years ago
15

In the coordinate plane, Point B is 1 unit directly above Point A. When Points A and B are reflected about a horizontal line, th

eir images are A' and B', respectively. If the coordinates of A' are (r, s), what are the coordinates of B' in terms of r and s?
(r,s-1)
(r,s+1)
(r-1,s)
Mathematics
1 answer:
BabaBlast [244]4 years ago
6 0
If <span>Point B is 1 unit directly above Point A. When Points A and B are reflected about a horizontal line, the point B' will be 1 unit directly below Point A', then If the coordinates of A' are (r,s), the coordinates of B' are (r,s-1)

Answer: First option: (r, s-1)</span>
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what is the mean round to the nearest tenth if needed value 1 2 3 4 5 frequency 7 1 3 2 2 please help?
Blizzard [7]

1 * 7 + 2 * 1 + 3 * 3 + 4 * 2 + 5 * 2 =

7 + 2 + 9 + 8 + 10 =

36

Now we need to divide 36 by the total frequency: 7+1+3+2+2=15

36 / 15 = 2.4

6 0
4 years ago
He made a queen-sized quilt that was 8 feet long. its area was 64 feet. what is its perimeter
SOVA2 [1]
Depends on the shape we are talking here. I believe you are taking about a square, so:
The equation for area for a square is: s^2, s representing the length of 1 of the squares sides (a square is even all the way around, so 1 side is the same as all)
8^2=64, so I can assume this is a square by this. Knowing it's a square, and that one of the sides is equal to 8, and the other 3 sides are the same length, I can do 8*4, which equals 24.
The perimeter is 24

4 0
4 years ago
A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation
bearhunter [10]

Answer:

<em>It will take 26.34 minutes for the population to reach 5 times its initial value</em>

Step-by-step explanation:

<u>Exponential Growing</u>

The population of bacteria grows at a rate expressed by the equation:

f(t)=256e^{0.06111t}

Where t is in minutes.

We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

f(0)=256e^{0.06111\cdot 0}=256\cdot 1=256

Now we find the time when the population is 5*256=1,280. The equation to solve is:

1,280=256e^{0.06111t}

Dividing by 256:

e^{0.06111t}=1,280/256=5

Taking natural logarithms:

ln\left(e^{0.06111t}\right)=ln5

Applying the logarithm properties:

0.06111t=ln5

Solving for t:

t=ln5/0.06111=26.34

It will take 26.34 minutes for the population to reach 5 times its initial value

6 0
4 years ago
An arrow is launched upward with a velocity of
anyanavicka [17]

Answer:

Step-by-step explanation:

The velocity of the arrow when it was launched upwards is 320 feet per second. The height of the platform from which it was launched is 50 ft

This means that the arrow is already 50 feets from the ground before moving upwards.

The height that it attains on moving from 50 feets will be determined by Newton's formula of motion.

v^2 = u^2 + 2as

u = initial velocity = 320 feet per second.

1 feet per second = 0.305 meters per second

320 feet per second = 320× 0.305

= 97.6 feets per second

a = acceleration due to gravity =

- 32.17405 feet/second^2 because the arrow is moving upwards)

s =maximum height of the arrow

v = final velocity = 0 feet/second

Substituting into the equation,

0^2 = 97.6^2 + 2×- 32.17405 × s

0 = 9525.76 - 64.3481s

64.3481s = 9525.76

s = 9525.76/64.3481 = 148.03 feets

Total height from the ground would be

148.03 + 50 = 198.03 feets

5 0
3 years ago
Factor by grouping m(2a+b)-n(2a+b)+2n(2a+b)
lys-0071 [83]

The factored expression of m(2a+b)-n(2a+b)+2n(2a+b) is (m + n)(2a + b)

<h3>How to factor the expression?</h3>

The expression is given as:

m(2a+b)-n(2a+b)+2n(2a+b)

Factor out 2a + b

m(2a+b)-n(2a+b)+2n(2a+b) = (m - n + 2n)(2a + b)

Evaluate the like terms

m(2a+b)-n(2a+b)+2n(2a+b) = (m + n)(2a + b)

Hence, the factored expression of m(2a+b)-n(2a+b)+2n(2a+b) is (m + n)(2a + b)

Read more about factored expressions at:

brainly.com/question/723406

#SPJ1

5 0
3 years ago
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