13
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3
+
2
i
Multiply by
−
3
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2
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−
3
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2
i
to make the denominator of
13
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3
+
2
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real.
13
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3
+
2
i
−
3
−
2
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−
3
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2
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Combine.
13
(
−
3
−
2
i
)
(
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3
+
2
i
)
(
−
3
−
2
i
)
Expand
(
−
3
+
2
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)
(
−
3
−
2
i
)
using the FOIL Method.
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13
(
−
3
−
2
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)
−
3
⋅
−
3
−
3
(
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2
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)
+
2
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⋅
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3
+
2
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(
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2
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)
Simplify.
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13
(
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3
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2
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)
9
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4
i
2
Simplify each term.
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13
(
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3
−
2
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)
9
+
4
Reduce the expression by cancelling the common factors.
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3
−
2
i
Answer: y = -2x + 4
Step-by-step explanation: In slope-intercept form or y = mx + b form,
the y is isolated or by itself on the left side of the equation.
So start by subtracting 4x from both sides.
That gives us -2y = 4x - 8.
Notice I put the x term first because in y = mx + b form,
the x term comes first on the left side of the equation.
From here, we divide both sides by -2 to get y = -2x + 4.
Answer:
67
Step-by-step explanation:
<span>For the answer to the question above,
4 shovels of sand are used for every 5 shovels of gravel
4s : 5g
How many shovels of gravel are needed for 64 shovels of sand?
64s : Xg
We need to calculate the value of X
4s : 5g
</span><span>64s : Xg
4s.Xg = 5g.64s
X = (5g*64s)/4sg
= 5*64/4
= 5*16
= 80
80 shovels of gravel are needed.</span>
