Answer:
2 13/14 feet
Step-by-step explanation:
The remaining length is the difference between the starting length and the amount cut off:
5 3/7 - 2 1/2 = (5 -2) +(3/7 -1/2) = 3 +((3·2-7·1)/(7·2)) = 3 -1/14
= 2 13/14 . . . feet remaining
_____
<em>Additional comment</em>
Addition and subtraction of fractions can be accomplished using a formula that does not rely on finding a least common denominator. In this case, the denominators have no common factors, so their product is, in fact, the least common denominator.
Answer:
-29+7i
Step-by-step explanation:
(5+2i)(-3+i)
-15+5i-6i+2i²
i²=-1
Simplify
-17-i
Add c
c=4i(2+3i)
=8i+12i²
=8i-12
-17-i+8i-12
-29+7i
Answer:
y=2/3x
Step-by-step explanation:
2/3 is greater than 1/2. It doesn't matter if one of the slopes are negative.
In the parallelogram ABCD, diagonals AC and BD intersect at point E.
According to the definition of parallelogram, opposite sides are equal and parallel to each other. That means, AB = DC
Now as AB and DC are parallel, so according to the property of Alternate Interior Angles, we will get:
∠EAB = ∠ECD and ∠EBA = ∠EDC
Thus , in two triangles ΔABE and ΔDCE, two angles and one side are equal. So, ΔABE and ΔDCE are congruent to each other.
That means, AE = CE and BE = DE
So, AE is congruent to CE and BE is congruent to DE
Answer:
The value of your expression is 7/12x +1.
Step-by-step explanation:
1/4x + 3 - 1/3x + -2 First, positive and negative is negative
= 1/4x + 3 - 1/3x -2 Combine like terms, 1/4x and 1/3x
= 7/12x + 3 - 2 Combine like terms, +3 and -2
= 7/12x +1
Like terms are when a number have similar exponents bases, variables or just plain numbers.
3x, 4x, 5x
1.02x^2, 1.02x^3
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