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Elanso [62]
3 years ago
13

3x^2+ 12x+ 81= 15 complete the square

Mathematics
1 answer:
ioda3 years ago
8 0

Answer:

x=−2±3i√2

Step-by-step explanation:

Use the formula ( b/2 )^2 in order to create a new term. Solve for x by using this term to complete the square.

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An orchard has 651 orange trees. The number of rows exceeds the number of trees per row by 10. How many trees are there in a row
natima [27]

Answer:

The number of trees in each row is  21.

Step-by-step explanation:

Let us assume the number of trees in each row  = m

So, the number of rows in the orchard = Number of trees in each row + 10

or, total number of trees in each row = (10 +m)

Now, Total number of Trees = Number of Rows x Number of trees in 1 row

⇒ 651  = m (m + 10)

651 = m^2 + 10m\\\implies  m^2 + 10m - 651 =0\\or,   m^2 + 31m  21m - 651 =0\\or, m(m +31) -21(m+31) =0\\\implies (m +31) (m-21) = 0

⇒ (m +31) = 0, or (m-21) = 0

⇒ m= -31, or m = 21

Now, as m = The number of trees in each row, so m ≠ -31

So, m =  21

Hence, the number of trees in each row is m = 21.

8 0
3 years ago
Please help!! Show work please!!
Nonamiya [84]

1. 3x - 2y = 8 Subtract 3x on both sides

-2y = 8 - 3x Divide by -2 on both sides to get y by itself

y = -4 + 3/2x


2. a + b / 3 = 5 Multiply 3 on both sides

a + b = 15 Subtract a on both sides to get b by itself

b = 15 - a


3. 12x - 4y = 20 Subtract -12x on both sides

-4y = 20 - 12x Divide -4 on both sides to get y by itself

y = -5 + 3x


4. y + 3 = -5(x - 2) Multiply -5 to (x-2)

y + 3 = -5x + 10 Subtract 3 on both sides to get y by itself

y = -5x + 7

7 0
2 years ago
Read 2 more answers
In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape
Ierofanga [76]

ummm well thats a good question

Step-by-step explanation: hold on let me think

g

3 0
2 years ago
Plz help me I am timed! Well mark brainliest if you are correct!
omeli [17]

Answer:

A

Step-by-step explanation:

The point Y is the center of the circle

6 0
2 years ago
Read 2 more answers
Hey you ‼️ yeah I unfortunately need your help again these are hard:(
Helga [31]

Answer:

Step-by-step explanation:

The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines

Slope of line 1:

(Yb -Ya)/(Xb - Xa) =

(-10 - (-14))/(-1 - (-3)) =

4/2 =

2

Use that slope to find the Y-intercept of line 1

y = 2x + b

-14 = 2(-3) +b

-14 = -6 + b

-8 = b

Therefore Line 1 is:

y = 2x - 8

Slope of line 2

(11 - 13)/(-1 - (-3)) =

-2/2 =

-1

Y-intercept of line 2

y = -x + b

13 = -(-3) +b

13 = 3 + b

10 = b

Therefore line 2 is

y = -x + 10

Now we have 2 equations to solve for the coordinates x and y

y = 2x - 8

y = -x + 10

Substitute y out in one of the equations

2x - 8 = -x + 10

3x = 18

x = 6

Plug x into one of the equations

y = 2(6) - 8

y = 12 - 8

y = 4

Therefore the solution is:

x=6, y=4

8 0
3 years ago
Read 2 more answers
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