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amid [387]
4 years ago
15

Place these numbers on the number line. 1/4, 2/3, 3/4, 6/8

Mathematics
1 answer:
Lelu [443]4 years ago
4 0
The best way to put them into a number line is to make sure that they've all got the same denominator, which in this case, will be 24, as this is the lowest common multiple of 3,4 and 8. You will then need to multiply these fractions accordingly. The first one (1/4) will need to be multiplied by 6 to get a denominator of 24, so this will then give you a result of 6/24. The second one (2/3), will need to be multiplied by 8, which will then give you a result of 16/24. The third one (3/4)will also need to be multiplied by 6, giving you 18/24. The final one (6/8) will need to be multiplied by 3, giving you 18/24. You will then need to put these in order, which will be- 1/4, 2/3, 3/4, and 6/8. The alternative method is to turn these into decimals- 1/4 is equivalent to 25%, which is equal to 0.25. 2/3 is equivalent to 66.66%, which is equivalent to 0.66. 3/4 is equivalent to 75%, which is equal to 0.75. 6/8 is also equivalent to 75%, which is equal to 0.75, you can then easily line them up this way. Hope this has been able to help you
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7 0
3 years ago
Identify the center and radius for the circle with the following equation; (x+5)^2+y^2+12y=3
rosijanka [135]
Center: (-5,-6)
Radius: 39
How to do it

Complete the square for
y
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y
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(
y
+
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)
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Substitute
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
for
y
2
+
12
y
y
2
+
12
y
in the equation
(
x
+
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)
2
+
y
2
+
12
y
=
3
(
x
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y
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y
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3
.
(
x
+
5
)
2
+
(
y
+
6
)
2
−
36
=
3
(
x
+
5
)
2
+
(
y
+
6
)
2
-
36
=
3
Move
−
36
-
36
to the right side of the equation by adding
36
36
to both sides.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
Add
3
3
and
36
36
.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
This is the form of a circle. Use this form to determine the center and radius of the circle.
4 0
3 years ago
What is six less than three raised to the third power?
Nataliya [291]

Answer:

21

Step-by-step explanation:

Three raise to third power can be written as 3^3. In this three is the base which is raised to third power.

3^3 = 3*3*3 = 27

Next we need to subtract 6 from Three raise to third power(i.e from 27)

which can be written mathematically as

3^3 - 6 = 3*3*3 - 6 \\=> 27 - 6 = 21

Hence 6 less  than three raised to the third power is 21 as explained above.

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3 years ago
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5 0
3 years ago
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Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(7.5, 4
Oksana_A [137]
Hello,

To find the scale factor, we have to look at what's going on in the problem. 

In point A, we are converting from (5, 3) to (7.5, 4.5).

We can write and solve equation to find the change (scale factor)

5x = 7.5  and 3x = 4.5

If you solve either equation, you will find the scale factor is 1.5.

Good luck,
MrEQ
8 0
4 years ago
Read 2 more answers
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