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castortr0y [4]
3 years ago
15

Complete the square for x^2 + 6x + ? to form a perfect square trinomial

Mathematics
1 answer:
Georgia [21]3 years ago
8 0
To complete the square, or finding the c constant of this trinomial to make it factor evenly, use this formula to find the c constant (as according to the quadratic equation ax^2+bx+c):
(b/2)^2

When you plug in the b value, 6, you should get this:
(6/2)^2

Then, when you simplify, you get a result of 9 which would be the missing constant to fill in your trinomial. When you plug it in, you should get this as your final trinomial:

x^2+6x+9
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viva [34]
The answer is A) 59

9/5(15)+32 =59
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4 years ago
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Scott burned 20 calories per minute jogging for x minutes and 5 calories per minute for biking for y minutes. He spent a total o
stiv31 [10]

Answer:

x = 112

Step-by-step explanation:

We can create two equations 1. one that calculates calories burned and 2.another that calculates minutes:

20*x + 5*y = 1200

x + y = 120

Then we can solve for x

x = 120 - y

then we can plug that into the top equation:

20(120 - y) + 5y = 1200

divide by 5:

4(120 - y) + y = 240

distribute:

480 - 4y + y = 240

and then do all that combining like factors what not and simplify and solve:

480 - 3y = 240

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y = 8

NOW WE CAN JUST PLUG IN THE ANSWER FOR Y TO FIND X

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7 0
3 years ago
How do I solve the equation 2x-5x+6.3=-14.4
Serga [27]
-3x+6.3=-14.4
-6.3=-6.3
-<u>3x</u>=-<u>20.7</u>
-3      -3
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7 0
3 years ago
What is the midpoint and distance between points P(3,5) and Q(7,5)
storchak [24]

The formula of a midpoint:

M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

The formula of a distance between two points:

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We have the points P(3, 5) and Q(7, 5). Substitute:

x=\dfrac{3+7}{2}=\dfrac{10}{2}=5\\\\y=\dfrac{5+5}{2}=\dfrac{10}{2}=5

<h3>M(5, 5)</h3>

d=\sqrt{(5-5)^2+(7-3)^2}=\sqrt{0^2+4^2}=\sqrt{4^2}=4

<h3>Answer:</h3><h3>Midpoint = (5, 5)</h3><h3>Distance = 4</h3>
4 0
3 years ago
The balance in Bryce’s account is $16. Jada’s account is $5 overdrawn. What is the difference between their balances?
Triss [41]
The difference between there balances is 11
8 0
3 years ago
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