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Mila [183]
3 years ago
5

When constructing a prependicular bisector why must the compass opening be greater than 1/2 the length of the segment ?

Mathematics
1 answer:
Tomtit [17]3 years ago
5 0

Because otherwise the two circles you build wouldn't have any intersection!

You have to draw two circles, centered at the endpoints of the segment, and connect their intersection.

If the radii are less than half the length of the circle, the circles will have no interserction.

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How would the expression x^2-4 be rewritten using Difference of Squares?
Anna [14]
<span>a2 – b2 = (a + b)(a – b) or (a – b)(a + b).
This is the 'Difference of Squares' formula we can use to factor the expression.

In order to use the </span><span>'Difference of Squares' formula to factor a binomial, the binomial must contain two perfect squares that are separated by a subtraction symbol.

</span><span>x^2 - 4 fits this, because x^2 and 4 are both perfect squares, and they are separated by a subtraction symbol.
All you do here to factor, is take the square root of each term.

√x^2 = x
√4 = 2

Now that we have our square roots, x and 2, we substitute these numbers into the form (a + b)(a - b).
</span>
<span>(a + b)(a - b)
(x + 2)(x - 2)

Our answer is final </span><span>(x + 2)(x - 2), which can also be written as (x - 2)(x + 2), it doesn't make a difference which order you put it in.

Anyway, Hope this helps!!
Let me know if you need help understanding anything and I'll try to explain as best I can.</span>
3 0
3 years ago
32.54 = 4.313805 + 0.3012446(x)
Ghella [55]

32.54=4.313805+0.3012446(x)

x=

\frac{32.54 - 4.313805}{0.3012446}

x= 93.698592439499

7 0
3 years ago
Lydia sells intricately shaped holiday soaps for $9 each. After each holiday, she marks the related soap down to $6.75. What per
mote1985 [20]

Need to find the amount of the discount first

(9 - 6.75)  = 2.25$

then find the %                                                            

(2.25/9) * 100 = 225/9 = 25%

             

7 0
3 years ago
How do I solve 15 x 18 + 12 ÷ 3 + 9
Effectus [21]
So this is a BIDMAS question so first you do the division and multiplication so you do (15 x 18) + (12/3) + 9 and get 270 + 4 + 9 which you just add to get 283. Hope this helps :)
5 0
3 years ago
Read 2 more answers
At a supermarket the price of a carton of blueberries varies directly with its weight. A carton that weighs 0.5 lb cost $4.25. W
IRISSAK [1]
It is $6.375.
0.5lb:$4.25
0.75lb:$6.375
This is because 0.75lb is 1.5 times greater than 0.5, so you do 4.25*1.5, which is $6.375
6 0
3 years ago
Read 2 more answers
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