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3 years ago

What is the sum of the expression ? (9 c − 8 d ) + ( 2 c − 6 ) + ( − d + 3 )

Mathematics

2 answers:

Dmitrij [34]3 years ago

4 0

Answer:

12c - 9d + 3

Step-by-step explanation:

(9 c − 8 d ) + ( 2 c − 6 ) + ( − d + 3 )

Combine like terms ( the d's with the d's, the c's with the c's and the numbers without the variables with the number w.out the variables)

9c - 8d + 3c - 6 - d + 3

12c - 9d + 3

That is at it's simplest form

Hope this helped!

have a supercalifragilisticexpialdocious day!

Wewaii [24]3 years ago

3 0

The answer is:
5 ( 6 r - 1 ) 6

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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

3 years ago

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3 years ago

3. Choose the correct statement below:

valina [46]

All natural numbers are whole numbers

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3 years ago

If you need to construct a dog run for your dog and the total perimeter needs to be 40 feet, and you only have enough room to ma

Natali [406]

Answer:

15 feet

Step-by-step explanation:

if the dog run is a rectangles then the formula for the perimeter is 2h+2l

if we plug in the numbers we know we get this:

2h+2(5)=40

2h+10=40

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3 years ago

Ming bought 40 pencils and Catherine bought 24. If each package of pencils sold at the store contain the same number of pencils,

sleet_krkn [62]

Answer:

8 pencils.

Step-by-step explanation:

This is a common, GCF question and the question becomes, what number is the GCF of 40 and 24.

40= 2x2x2x5

24=2x2x2x3

Both share 2x2x2, which is 8 so the largest number of pencils in each pack is 8.

5 0

3 years ago

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