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Nastasia [14]
3 years ago
7

Let x^2 +11x=3 ​.

Mathematics
2 answers:
Mashutka [201]3 years ago
5 0

We have been given an equation x^2 +11x=3. We are asked to complete the square for the given equation.

To complete the square for our given equation, we need to add the half the square of x term on both sides.

We can see that coefficient of x term is 11, so we need to add half the square of 11 on both sides.

(\frac{11}{2})^2  

Let us simplify (\frac{11}{2})^2.

\frac{11^2}{2^2}=\frac{121}{4}

Upon adding \frac{121}{4} on both sides, we will get:

x^2 +11x+\frac{121}{4}=3+\frac{121}{4}

Now we will make a common denominator for right side.

x^2 +11x+\frac{121}{4}=\frac{12}{4}+\frac{121}{4}

x^2 +11x+\frac{121}{4}=\frac{133}{4}

Therefore, our equation would be x^2 +11x+\frac{121}{4}=\frac{133}{4}.

tensa zangetsu [6.8K]3 years ago
3 0
The answer is x^2+11x+(121/4)=(143/4)

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It cost $520 to plant 4 acres of corn. How much would it cost to plant 3/5 acre of corn?
VLD [36.1K]
Importance should be given to all the informations that are already given in the question. based on those information's, the answer to the question can be easily determined.
The cost of planting 4 acres of corn = 520 dollars
Then
the cost of planting 1 acre of corn = (520/4) dollars
                                                       = 130 dollars
So
The cost of planting 3/5 acres of corn = (3/5) * 130 dollars
                                                             = 3 * 26 dollars
                                                             = 78 dollars
So the cost of planting 3/5 acre of corn is $78. I hope the procedure is clear enough for you to understand. You can always use this method in future for solving similar type of problems without requiring any help from outside.
4 0
4 years ago
Read 2 more answers
HELP PLEASE VERY HARD
kykrilka [37]

Answer:

-4, 2, 3

Step-by-step explanation:

Centre: (-4,2)

Radius: 3

(x - h)² + (y - k)² = r²

(x - -4)² + (y - 2)² = 3²

(x + 4)² + (y - 2)² = 9

3 0
3 years ago
9. At Ethan's tree Farm, the taller trees are braced by wires that extend 2 feet below the top of a tree, to a stake
Amanda [17]

Answer:

22'

Step-by-step explanation:

25^2=15^2+x^2   where x=tree height less the 2' from the top

x=20'

Add the 2' from wire connection to top of tree.

22'

7 0
3 years ago
On a drive from one city to​ another, Victor averaged 5151 mph. If he had been able to average 7575 ​mph, he would have reached
Vitek1552 [10]

Answer:

d=1.416.525 mile

Step-by-step explanation:

V1=5151m/h, t1=t, V2=7575m/h, t2=t-88h

d1=d2 Because it is same distance; V1=d1/t and V2=d2/(t-88) but d1=d2

d=V1t=V2(t-88) → 5151t=7575(t-88) → 5151t=7575t-666.600 → 7575t-5151t=666.600 → 2424t=666.600 → t=666.600/2424 → t=275h so

d=5151\frac{mile}{h}.275h =  1.416.525mile

5 0
4 years ago
Y varies directly as x times x. If y=36 when x=3, find y when x=1/2
faltersainse [42]

Answer:

6

Step-by-step explanation:

from 3 to 1/2, you divide by 6. That means you have to divide 36 (the y) by 6, too. 36/6 is 6.

4 0
4 years ago
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