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DedPeter [7]
3 years ago
13

How to factor a trinomial x^2+11x+19

Mathematics
1 answer:
Tresset [83]3 years ago
4 0

Answer:

this trinomial is prime, and cannot be factored.

Step-by-step explanation:

when expanding the equation, you multiply the last term by the first term's coefficient, and then find two factors that multiply to that product, and sum to the middle coefficient.

1 * 19 = 19

there are no factors that will multiply to 19 and sum to 11. thus, this polynomial is prime.

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Find the midpoint of the line segment joining the points P1 and P2.
Karolina [17]

Answer:

M= (1, 7/2)

Step-by-step explanation:

M = midpoint

M= ((x1+x2)/2) , ((y1+y2)/2)

we have:

P1 = (4,2)

P2 = (-2,5)

x1= 4  y1= 2

x2= -2   y2= 5

we have:

M= ((4-2)/2) , ((2+5)/2)

M= (2/2 , 7/2)

M= (1, 7/2)

5 0
3 years ago
Read 2 more answers
Just part c please thanks
Dovator [93]
Unfortunately the portion of the graph shown does not show the locations of points A and B, nor does it show sufficient parts of the curve.

Fortunately, to do part C, it is not necessary to use the graph of the function, nor the locations of points A & B, since we know that t=-1 at A.

The solution is as follows:
We know that the tangent line has the equation
l : 2x -5y -9 = 0 ...................(1)
and that the parametric equation is
x = t^3 -8t;  y = t^2 ..............(2)

We can obtain the intersections of the tangent line (1) with the original curve (2) by substituting (2) in (1), giving
f(t) = 2*(t^3-8*t) -5*(t^2)-9 = 0
or on simplification,
f(t) = 2t^3 -5t^2 -16t -9 = 0 ....................(3) parametric equation of intersection points
Solution of which gives t=9/2 or t=-1.

Since t=-1 is the given tangent point, we conclude that t=9/2 is point B.

Translating into rectangular coordinates for t=9/2, we get
x=t^3-8t=(9/2)^3-8(9/2)= 441/8 = 55.125
y=t^2=(9/2)^2= 81/4 = 20.25

Therefore the coordinates of B:
t=9/2, or (55.125, 20.25)

Attached is the graphics of f(t), showing that t=-1 is a tangent line, and that the solutions are t=-1, or t=9/2.

8 0
2 years ago
In a seventh grade class, 14 out of 30 students are boys. In simplest terms, what is the ratio of the number of boys to the numb
Tanya [424]

Answer:

C

Step-by-step explanation:

14 : 16

7 : 8

boys : girls

3 0
2 years ago
Read 2 more answers
PLEASE HELP with these math questions (Please don't answer if you don't know all of them)
Leona [35]
Sqrt (53) = 10 * sqrt (0.53)

0.53 = 64/121
sqrt (0.53) = sqrt (64)/ sqrt (121) = 8/11 = 0.7273
Therefore sqrt (53) = 10 * 0.7273 = 7.27

sqrt (108) = 10 * sqrt (1.08)
sqrt (1.08) = sqrt (676/625) = 26/25 = 1.04
Therefore sqrt (108) = 10 * 1.04 = 10.4

sqrt (128) = 10 * sqrt (1.28)
sqrt (1.28) = sqrt (289/225) = 17/15 = 1.133
Therefore sqrt (108) = 10 * 1.133 = 11.33

5 0
3 years ago
What is an algebraic expression for this word phrase?
snow_lady [41]
The first choice, 5+7n.
3 0
2 years ago
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