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bekas [8.4K]
3 years ago
14

I don’t know how to solve for p.

Mathematics
1 answer:
kumpel [21]3 years ago
4 0

Answer:

p=12

Step-by-step explanation:

DBC = 180

ABE = 180

ABC + DBA = 180

ABC = (5p -28)

DBA + (12p -4)

CBD = ABC + DBA = 180

-------------------------------------------------

180 = (5p - 28) + (12p + 4)

180 = 17p - 24

204 = 17p

12 = p

p = 12

------------------------------------------------------

180 = (5(12) - 28) + (12(12) +4)

180 = 60 - 28 + 144 +4

180 = 180

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Yuri [45]

Answer:

Step-by-step explanation:

y=-1

7 0
2 years ago
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I need help on this. & I'll give brainlyest to anyone who can solve it for me. Thank's!!!!
Olegator [25]

Answer:

I can helpyou with that but im not sure with it

6 0
2 years ago
What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
telo118 [61]

Answer:

f(x)=-\frac{1}{8}(x-3)^2+3

Step-by-step explanation:

We want to find the equation of the parabola with a focus of (3,1) and directrix y=5.

Considering the directrix, the quadratic graph must open downwards.


The equation of this parabola is given by the formula,

(x-h)^2=4p(y-k), where (h,k) is the vertex of the parabola.


The axis of this parabola meets the directrix at (3,5).

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,


h=\frac{3+3}{2}=3 and k=\frac{5+1}{2}=3.


The equation of the parabola now becomes,


(x-3)^2=4p(y-3).


Also |p| is the distance between the vertex and the directrix.


|p|=2


This implies that p=-2\:or\:2.


Since the parabola turns downwards,


p=-2.



Our equation now becomes,


(x-3)^2=4(-2)(y-3).


(x-3)^2=-8(y-3).


We make y the subject to get,

y=-\frac{1}{8}(x-3)^2+3).


This is the same as

f(x)=-\frac{1}{8}(x-3)^2+3).









4 0
3 years ago
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konstantin123 [22]

Answer:

x = -22

Step-by-step explanation:

2(5– x)3 – 11 = 151

(10 - 2x)3 - 11 = 151

30 - 6x = 162

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x = -22

5 0
3 years ago
Determine the given point is a solution to the equation. Show all work.<br> 1) 3x-7y=4; (1,-1)
marusya05 [52]

Answer:

  NOT a solution

Step-by-step explanation:

Substitute the values of x and y and see if the equation is satisfied:

  3(1) -7(-1) = 3 +7 = 10 ≠ 4 . . . . . . the given point is not on the line

(1, -1) is not a solution to the equation.

_____

(-1, 1) is a solution

6 0
3 years ago
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