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Rashid [163]
3 years ago
12

The sum of the ages of two siblings is 29. The brother is eleven more than half the age of his sister. How old is each sibling

Mathematics
2 answers:
blagie [28]3 years ago
6 0
The sister is 9 and the brother is 20
mina [271]3 years ago
3 0

Answer: the brother is 20 and the sister is 9

Step-by-step explanation:

29 - 11 = 18  18 divided by 2 is 9

9+11 is 20 the brothers age so the sister is 9

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3 years ago
Derive the equation of the parabola with a focus of (-5,-5) and a directrix of y=7.
adoni [48]

Answer:

y=-\frac{1}{24}(x+5)^2+1

Step-by-step explanation:

The given parabola has its focus at (-5,-5) and the directrix is at: y=7.

The equation of such parabola is given by the formula:

(x-h)^2=-4p(y-k)

The vertex of the parabola is the midpoint of (-5,-5) and (-5,7).

(\frac{-5+-5}{2},\frac{-5+7}{2} )=(-5,1)

The value of p is the distance from the (-5,-5) to (-5,1).

p=|1--5|=6

We substitute the values of the vertex and p into the equation to get;

(x--5)^2=-4(6)(y-1)

(x+5)^2=-24(y-1)

Or

y=-\frac{1}{24}(x+5)^2+1

3 0
3 years ago
If FHG ≅ WXY, what are the corresponding parts?
juin [17]

Answer:

see below

Step-by-step explanation:

FHG ≅ WXY

This means the angles are congruent and the sides are congruent.  We keep the letters in the same order

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<H ≅ <X

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5 0
3 years ago
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Romashka-Z-Leto [24]

The correct answers are a,b,e,f

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4 years ago
Which of the following are equal to the expression below? check all that apply
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