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kipiarov [429]
3 years ago
9

Add the polynomials: (-5 - 7x^2); (5 + 7x^3) *

Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0

Answer:

- 7 {x}^{2}  + 7 {x}^{3}

Step-by-step explanation:

( - 5 - 7 {x}^{2} ) + (5 + 7 {x}^{3} ) \\  =  - 5 - 7 {x}^{2}  + 5 + 7 {x}^{3}  \\  = - 7 {x}^{2}  + 7 {x}^{3}

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Solve using the appropriate method a-3b=33 <br> b+6=2a
Varvara68 [4.7K]

Answer:

1= -6b=a

Step-by-step explanation:

a-3b=33b+6=2a

+3b  +3b

a=36b+6=2a

-6         -6

a -6=36b=2a

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

 -6    -6

a= -6b=2a

This is the work and the answer

6 0
3 years ago
Which equation represents a parabola that has a focus of (0, 0) and a directrix of y = 4?
Ray Of Light [21]

Answer:

x2=−8(y−2)

Step-by-step explanation:

Parabola is a locus of a point which moves at the same distance from a fixed point called the focus and a given line called the directrix.

Let P(x,y) be the moving point on the parabola with  

focus at S(h,k)= S(0,0)  

& directrix at y= 4

Now,  

|PS| = √(x-h)2 + (y-k)2

|PS| = √(x-0)2 + (y-0)2

|PS| = √ x2 + y2

Let ‘d’ be the distance of the moving point P(x,y) to directrix y- 4=0

  •   d= |ax +by + c|/ √a2 + b2
  •   d= |y-4|/ √0 + 1
  •   d= |y-4| units.

equation of parabola is:  

  • |PS| = d
  • √ x2 + y2 = |y-4|

Squaring on both sides, we get:  

  • x2 + y2 = (y-4)2
  • x2 + y2 = y2 -8y + 16
  • x2 = - 8y + 16
  • x2 = -8 ( y - 2)  

This is the required equation of the parabola with focus at (0,0) and directrix at y= 4.

8 0
2 years ago
Read 2 more answers
Suppose y varies directly as x and y equals 21 when x = 3 find x when y = 42
pentagon [3]
<span>y = kx find k

21 = k*3
k = 7

Equation:
y = 7x
Find x when y = 42
42 = 7x
x = 42/7
x = 6

answer: </span><span>x = 6  when y = 42</span>
7 0
3 years ago
Read 2 more answers
Which expression is equivalent to (5x^3) (4x) ^3?
jenyasd209 [6]
(5x^3)(4x)^3
(5x^3)(2^2)^3 x^3
320x^6
5 0
3 years ago
Read 2 more answers
If the expression below has a negative value, which inequality represents all possible values of n in the expression?
Ray Of Light [21]

Answer: B

Step-by-step explanation:

We know N cannot be 0 as the value would not be negative.
We know N cannot be negative as that would make the expression positive.
B is the only answer that works.

8 0
1 year ago
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