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Sphinxa [80]
2 years ago
3

Square BCDE with vertices B(-6,7),C(-2,6),D(-3,2), and E(-7,3) in the y-axis. find the reflection?

Mathematics
1 answer:
GarryVolchara [31]2 years ago
5 0

Answer:

The vertices of the square B'C'D'E' are B'(x, y) = (6,7), C'(x,y) = (2, 6), D'(x,y) = (3,2) and E'(x,y) = (7,3)

Step-by-step explanation:

From Geometry we notice that a reflection with axis of symmetry on y-axis is represented by the following formula:

(x',y') = (-x, y), \forall \,x,y\,\in\mathbb{R}

Thus, the vertices of the square B'C'D'E' are B'(x, y) = (6,7), C'(x,y) = (2, 6), D'(x,y) = (3,2) and E'(x,y) = (7,3)

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What two whole numbers is the quotient between 37 divided by 6
Nitella [24]

Answer:

6 and 7

Step-by-step explanation:

To do this, we need to look at the two closest numbers that are divisible by 6. These are 36 and 42.

36/6=6\\42/6=7

As 37 is between 36 and 42, the quotient must be between 6 and 7

3 0
2 years ago
The length, l cm, of a simple pendulum is directly proportional to the square of its period (time taken to complete one oscillat
Greeley [361]

Answer:

1) L \propto T^2

Using the condition given:

2.205 m = K (3)^2

K = 0.245 \approx \frac{g}{4\pi^2}

So then if we want to create an equation we need to do this:

L = K T^2

With K a constant. For this case the period of a pendulumn is given by this general expression:

T = 2\pi \sqrt{\frac{L}{g}}

Where L is the length in m and g the gravity g = 9.8 \frac{m}{s^2}.

2) T = 2\pi \sqrt{\frac{L}{g}}

If we square both sides of the equation we got:

T^2 = 4 \pi^2 \frac{L}{g}

And solving for L we got:

L = \frac{g T^2}{4 \pi^2}

Replacing we got:

L =\frac{9.8 \frac{m}{s^2} (5s)^2}{4 \pi^2} = 6.206m

3) T = 2\pi \sqrt{\frac{0.98m}{9.8\frac{m}{s^2}}}= 1.987 s

Step-by-step explanation:

Part 1

For this case we know the following info: The length, l cm, of a simple pendulum is directly proportional to the square of its period (time taken to complete one oscillation), T seconds.

L \propto T^2

Using the condition given:

2.205 m = K (3)^2

K = 0.245 \approx \frac{g}{4\pi^2}

So then if we want to create an equation we need to do this:

L = K T^2

With K a constant. For this case the period of a pendulumn is given by this general expression:

T = 2\pi \sqrt{\frac{L}{g}}

Where L is the length in m and g the gravity g = 9.8 \frac{m}{s^2}.

Part 2

For this case using the function in part a we got:

T = 2\pi \sqrt{\frac{L}{g}}

If we square both sides of the equation we got:

T^2 = 4 \pi^2 \frac{L}{g}

And solving for L we got:

L = \frac{g T^2}{4 \pi^2}

Replacing we got:

L =\frac{9.8 \frac{m}{s^2} (5s)^2}{4 \pi^2} = 6.206m

Part 3

For this case using the function in part a we got:

T = 2\pi \sqrt{\frac{L}{g}}

Replacing we got:

T = 2\pi \sqrt{\frac{0.98m}{9.8\frac{m}{s^2}}}= 1.987 s

8 0
2 years ago
It cost Naomi $7.70 to send 154 text messages. How many text messages did she send
s2008m [1.1K]

You have to find the unit rate

SO..

7.70 / 154 = 0.05

So it cost her 0.05 cents for each text.

So then you divide $ 5.25 by the unit rate to get the number of text

5.25 /0.05 = 105

so she sent 105 text

To check it you just multiply the unit rate by the number of text you got and you show come up with $ 5.25

0.05 x 105 = 5.25

4 0
2 years ago
A house on the land measures 45 feet by 38 feet,a wooded area covers 118 feet by 60 feet,and the front yard is 78 feet by 40 fee
den301095 [7]
Rectanglearea=legnth timees width
triagnlearea=1/2base times height

ok so we find volume of entier land first

we can cut into triangle an rectangle

triangle=height=650-200=450
base=600
area=1/2*600*450=135000 ft^2

rectangle=200 times 600=120000

add
135000+120000=255000ft^2


find other areas and subtract
areahouse=45*38=1710
areawooded=118*60=7080
frontyard=78*40=3120
add
1710+7080+3120=11910

minus

255000-11910=243090

how many acres are farmed

43560ft^2=1acre
divide both sides by 43560
1ft^2=1/43560 acre

multiply both sides by 243090
243090ft^2=243090/43560acre=5.5805acre=5.6acre rounded

answer is 5.6 acer


6 0
2 years ago
X - 4 = 10 A) x = 3 B) x = 6 C) x = 12 D) x = 14
hjlf

x=14


Add 4 to both sides to isolate x

7 0
2 years ago
Read 2 more answers
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