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r-ruslan [8.4K]
3 years ago
6

Plese help me answer the questions

Mathematics
2 answers:
iogann1982 [59]3 years ago
8 0
The answer should be the Commutative property of multiplication
svlad2 [7]3 years ago
5 0
Hey! 
For 3, I got A because in Commutative, the C and O can stand for change order. That's what the property means, you can change the order of the variables and number but the answer will stay the same. 
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Triangles abc, dbe, and fbg are all symmetric about the y-axis. what are the coordinates of the centroid?
Drupady [299]

Answer:

The coordinates of the centroid are (0, 5)

Step-by-step explanation:

The coordinates of the centroid of a triangle whose vertices (x1, y1), (x2, y2), and (x3, y3) are (\frac{x1+x2+x3}{3} , \frac{y1+y2+y3}{3})

In Δ ABC

∵ A = (-20, 0), B = (0, 15), C = (20, 0)

∴ x1 = -20, x2 = 0, x3 = 20

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = (\frac{-20+0+20}{3} , \frac{0+15+0}{3}) = (\frac{0}{3} , \frac{15}{3}) = (0, 5)

∴ The coordinates of the centroid of Δ ABC are (0, 5)

In Δ DBE

∵ D = (-15, 0), B = (0, 15), E = (15, 0)

∴ x1 = -15, x2 = 0, x3 = 15

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = (\frac{-15+0+15}{3} , \frac{0+15+0}{3}) = (\frac{0}{3} , \frac{15}{3}) = (0, 5)

∴ The coordinates of the centroid of Δ DBE are (0, 5)

In Δ FBG

∵ F = (-5, 0), B = (0, 15), G = (5, 0)

∴ x1 = -5, x2 = 0, x3 = 5

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = (\frac{-5+0+5}{3} , \frac{0+15+0}{3}) = (\frac{0}{3} , \frac{15}{3}) = (0, 5)

∴ The coordinates of the centroid of Δ FBG are (0, 5)

∵ The three triangles are symmetric about the y-axis

→ That means they have the same centroid and it lies on the y-axis

∴ The coordinates of the centroid are (0, 5)

8 0
2 years ago
X is directly proportional with the square root of Y. If X=128 and Y=16 find: X when Y=36 B) Y when X=48 ( HELP ASAP!)
Tems11 [23]

x = sqrt{y}k

K is the constant of proportionality.

128 = sqrt{16}k

128 = 4k

128/4 = k

32 = k

x = sqrt{y}k

x = sqrt{36}•32

x = 6 • 32

x = 192

Find y when x = 48.

x = sqrt{y}k

48 = sqrt{y}32

48/32 = sqrt{y}

(48/32)^2 = [sqrt{y}]^2

2.25 = y

7 0
3 years ago
Plz help me ith this one
garri49 [273]

Answer:

There Equal

Step-by-step explanation:

Because a 0 behind a significant number has no value and if it has no value then you can keep adding zeros behind it and it would still be equal because like i said the zeros behind the important numbers has no value

3 0
3 years ago
The scale drawing of a 10 foot long minivan has a scale factor 2 inches = 1 foot. how long is the minivan on the scale drawing?
kicyunya [14]

Answer:

20in

Step-by-step explanation:

Length = 10*\frac{2in}{1ft} =20in

4 0
2 years ago
Read 2 more answers
You order two servings of pancakes and a fruit cup. The cost of the fruit cup is $1.50. You leave a 15% tip. Your total bill is
lesantik [10]

Let us assume cost of one serving of pancakes = $x

So, the cost of two serving of pancakes = 2 times of x = $2x.

Given cost of the fruit cup = $1.50

Ordered two servings of pancakes and a fruit cup.

Total billed amount = $11.50.

We can setup an equation now,

Cost of two serving of pancakes + cost of the fruit cup + 15%tip = $11.50.

2x + 1.50 + 15% of (2x+1.50) = 11.50.

2x+1.50 + 0.15*(2x+1.50) =11.50

2x+1.50 +0.30x + 0.225 =11.50

Combining like terms

2.30x + 1.725 =11.50

Subtracting 1.725 from both sides

2.30x + 1.725-1.725 = 11.50-1.725

2.30x = 9.775

Dividing both sides by 2.30.

2.30x/2.30 = 9.775/2.30.

On simplifying we get,

x= 4.25.

Therefore, the cost of one serving of pancakes = $4.25.



5 0
3 years ago
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