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Alisiya [41]
3 years ago
9

How far from the line 3x+2y=5 is the point of intersection of x+y=5 and x–y=3?

Mathematics
1 answer:
Ray Of Light [21]3 years ago
7 0

Answer:

(9sqrt13)/13

Step-by-step explanation:

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Find all real solutions of the equation by completing the square. (Enter your answers as a comma-separated list.) x2 − 4x − 8 =
Nat2105 [25]

Answer:

After completing the square the expression is (x-2)^2 -12 =0 and real solution are x = 5.46 and x = -1.46

Step-by-step explanation:

We need to complete the square:

x^2 − 4x − 8 = 0

x^2 -2(x)(2)+(2)^2 -8 -4 =0

(x^2 -4x +4) - 12 = 0

(x-2)^2 -12 =0

Now, finding the value of x

(x-2)^2 -12 =0

(x-2)^2 = 12

taking square root on both sides

\sqrt{(x-2)^2}= \sqrt{12} \\(x-2) = \pm\sqrt{12} \\x = \pm\sqrt{12} +2\\x = \sqrt{12}+2 \,\,and\,\,x=-\sqrt{12}+2\\x= 3.46+2 \,\,and\,\,x=-3.46+2\\x =5.46\,\,and\,\,x=-1.46

So, After completing the square the expression is (x-2)^2 -12 =0 and real solution are x = 5.46 and x = -1.46

5 0
3 years ago
A rectangle is 9ft long and 40 in wide what is its area in square feet?
Irina-Kira [14]
The answer is 360 sqft

6 0
2 years ago
I need help finding Sin B, Cos B, and Tan A for a geometry problem. please help meee
Scilla [17]

Answer:

Sin B = 5/13

Cos B = 12/13

tan A = 12/5

Step-by-step explanation:

Sin B = opposite side/ hypotenuse

Sin B = 5/13

Cos B = adjacent side / hypotenuse

         = 12/13

tan A = opposite side /adjacent side

          = 12/5

6 0
3 years ago
...determina las distintas posibilidades que tiene un agricultor al sembrar 115 arboles en filas de igual numero de arboles ...
Vedmedyk [2.9K]
23 lines × 5 trees= 115 tree. or. 5 lines × 23 trees = 115 trees
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The circle graph shows a family budgets it’s annual income.if the total annual income is 140,000, what amount is budgeted for au
emmasim [6.3K]

Answer: The amount budgeted for Auto Expenses is $18,200

Step-by-step explanation:

13 Percent of $140,000 is $18,200

0.13 times 140,000 :-)

5 0
2 years ago
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