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Makovka662 [10]
3 years ago
14

Verify (a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca With the observation answer

Mathematics
1 answer:
balu736 [363]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

(a + b + c)² = (a + b + c)(a + b + c)

Each term in the second factor is multiplied by each term in the firs factor, that is

a(a + b + c) + b(a + b + c) + c(a + b + c) ← distribute all 3 parenthesis

= a² + ab + ac + ab + b² + bc + ac + bc + c² ←  collect like terms

= a² + b² + c² + 2ab + 2bc + 2ac

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What's one fifth of 45
pishuonlain [190]
1 /5 = 0 . 2 
45 * . 2 = 9
Hope this helped :)
3 0
3 years ago
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A plant costs p dollars and a bush costs b dollars. Ana buys 2 plants and 4 bushes for $42. Paola buys 7 plants and 9 bushes for
gregori [183]

Answer:

p = 5 and b = 8

Step-by-step explanation:

First, create a system of equations:

2p + 4b = 42

7p + 9b = 107

Solve by elimination by multiplying the top equation by -7 and the bottom equation by 2:

-14p - 28b = -294

14p + 18b = 214

Add these together, and solve for b:

-10b = -80

b = 8

Plug in 8 as b into one of the equations, and solve for p:

2p + 4b = 42

2p + 4(8) = 42

2p + 32 = 42

2p = 10

p = 5

So, p = 5 and b = 8

4 0
2 years ago
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Can someone help? Please explain how you got your answer.
frez [133]
The tablecloth has 42" diameter.
Add 8" at each end of the diameter to get 42" + 8" + 8" = 58".
The tablecloth has 58" diameter.
The radius is half the diameter.
Radius = diameter/2 = 58"/2 = 29".
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3 0
3 years ago
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Question 6 of 10
nataly862011 [7]
Table B and Graph B is the correct answer
3 0
3 years ago
Identify the triangle PQR as isosceles​ (two sides of equal​ length), equilateral​ (three sides of equal​ length), or a scalene
Ipatiy [6.2K]

Answer:

Isosceles

Step-by-step explanation:

In order to figure what type of triangle this is out, we need to start by plotting the given points. That will help us visualize the triangle better and see if our conclusions make sense. (See attached picture).

Once we got the triangle, the strategy to follow is to use the distance between two points formula to see what the measurement of each side of the triangle is. This will help us determine if 2, 3 or none of the sides of the tirangle are the same.

The distance formula is the following:

distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

so now we can find the desired distances, let's start with the distance between P and Q:

|PQ|=\sqrt{(-4-0)^{2}+(9-8)^{2}}

which yields:

|PQ|=\sqrt{17}

next, let's find the distance between P and R:

|PR|=\sqrt{(-4-(-3))^{2}+(9-5)^{2}}

which yields:

|PR|=\sqrt{17}

and finally the distance between Q and R:

|QR|=\sqrt{(0-(-3))^{2}+(8-5)^{2}}

which yields:

|QR|=3\sqrt{2}

As you  may see from the result, only two of the three sides are the same, |PQ| and |PR|, so this will be an Isosceles triangle.

6 0
3 years ago
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