This polynomial does not factor so you have to complete the square or use Quadratic formula.
x^2 + 6x + 7 = 0
Using completing the square, subtract 7 from both sides.
x^2 + 6x = -7
divide 6 by 2 = 3, square 3 = 9, add 9 to both sides.
x^2 + 6x + 9 = 2
(x + 3)^2 = 2
Take the sqrt of both sides
x + 3 = + - sqrt 2
subtract 3 from both sides
x = - 3 + - sqrt 2
This is not an answer choice but it is the correct answer. You either typed the choices incorrectly or the equation incorrectly.
Answer: choice c. GT
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Explanation:
A median is a segment that runs from a vertex point to the midpoint of the opposite side. Segment GT starts at the vertex G and goes to the midpoint T. We know that T is a midpoint since FT and TH are both 3 units long
since FT = TH, we know that FT is half as long as FH; or put another way, FH is twice as long as FT.
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Extra info
* Segment HS is an angle bisector: it cuts angle GHF in half.
* If you have two median lines, then you can find the centroid of the triangle.
You have ti distribute the 5n into the brackets.
so then youll have 15n^2 + 40n.
Answer:
y=69
Step-by-step explanation:
first step:when y=26 and x=21
c=y-x
c=26-21
c=5
second step: when y is unknown and x=64
To find y we simply add the value of c to x
y=x+c
y=64+5
y=69
Answer: p = 6
Step-by-step explanation:
HI !
px + 3y - ( p-3)=0
a₁ = p , b₁ = 3 , c₁ = - (p-3)
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12x + py - p=0
a₂ = 12 , b₂ = p , c₂ = -p
since , the equations have infinite solutions ,
a₁/a₂ = b₁/b₂ = c₁/c₂
p/12 = 3/p = p-3/p
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p/12 = 3/p
cross multiply ,
p² = 36
p = √36
p = 6
for the value of p = 6 , the equations will have infinitely many solutions