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Kazeer [188]
3 years ago
8

The value of 7m−3 is half as big as the value of 12m+1

Mathematics
2 answers:
shutvik [7]3 years ago
6 0
2(7m-3) = 12m+1
14m-6 = 12m+1
2m = 7
m = 7/2
Ksenya-84 [330]3 years ago
4 0

Answer: m = 3\frac{1}{2}

Step-by-step explanation:

the value of 7m−3 is half as big as the value of 12m+1 implies that

7m - 3 = \frac{1}{2} ( 12m + 1)

cross multiplying, we have

2(7m-3) = 12m + 1

Expanding the L.H.S , we have

14m - 6 = 12m + 1

collecting the like terms ,we have

14m - 12m = 1 + 6

2m = 7

Dividing through by 2

m = 7/2

m = 3\frac{1}{2}

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Identify the center and radius for the circle with the following equation; (x+5)^2+y^2+12y=3
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Center: (-5,-6)
Radius: 39
How to do it

Complete the square for
y
2
+
12
y
y
2
+
12
y
.

(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
Substitute
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
for
y
2
+
12
y
y
2
+
12
y
in the equation
(
x
+
5
)
2
+
y
2
+
12
y
=
3
(
x
+
5
)
2
+
y
2
+
12
y
=
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
+
(
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+
6
)
2
=
3
+
36
Add
3
3
and
36
36
.
(
x
+
5
)
2
+
(
y
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=
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(
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=
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7 0
3 years ago
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