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Advocard [28]
4 years ago
9

14. Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,1) E (7,1) and F(1,5). Show your work.

Mathematics
1 answer:
dimulka [17.4K]4 years ago
4 0
The centroid C divides the length of each median PY, ZQ, and XR into the ratio of 2:1 as shown in the diagram below

a) CY = 10
    PC = 2×10 = 20
    PY = 20+10 = 30

b) QC =10
    ZC = 10÷2 = 5
    ZQ = 10+5 = 15

c) PX = 20
    PQ = 2×20 = 40

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4x - 9x + 3 = -32<br> A: -7<br> B: -35/13<br> C: -29/5<br> D: 7
baherus [9]

Answer:

D.) x = 7

Step-by-step explanation:

4x - 9x + 3 = -32

The first thing we do is combine like terms which means to add or subtract or multiply or divide any numbers that are known. Here in this equation we have 4x and - 9x

4x - 9x + 3 = -32

- 5x + 3 = - 32

Now what we do is subtract the common numeral from the side where the x value is.

- 5x + 3 = - 32

- 3. - 3

- 5x = - 35

Lastly, we divide here we take the value next to x and divide both numbers, here we will divide by - 5.

- 5x = - 35

- 5x / - 5 = x

- 35 / - 5 = 7

Now we take are two solutions and create are final solution.

x = 7

8 0
4 years ago
2^5*5^2*(-6)^4<br> ___________<br> (-6)^2*2^3*5^2 simplify
gulaghasi [49]

Answer:

The answer is 144

Step-by-step explanation:

\frac{ {2}^{5}  \times  {5}^{2}  \times   { - 6}^{4} }{  {2}^{3}  \times  {5}^{2} \times  { - 6}^{2}  }

{2}^{2}  \times  {6}^{2}  =  \\ 4 \times 36 = 144

5 0
3 years ago
The area of a rectangular garden is given by the trinomial x2 + x – 42. What are the possible dimensions of the rectangle? Use f
Murrr4er [49]

Answer:

Step-by-step explanation:

Hello, please consider the following.

x^2+x-42\\\\\text{The sum of the zeroes is -1=-7+6 and the product is -42=-7*6.}\\\\\text{So, we can factorise.}\\\\x^2+x-42\\\\=x^2+7x-6x-42\\\\=x(x+7)-6(x+7)\\\\=(x+7)(x-6)

So, the possible dimensions of the rectangle are (x+7) and (x-6).

Thank you.

3 0
4 years ago
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What number is 264% of 25?
Evgen [1.6K]

Answer:

9.47

Step-by-step explanation:

8 0
3 years ago
Is this a function or no
Elena L [17]
I believe this is not a function(pleaseee give me a like)
6 0
3 years ago
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