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aliina [53]
3 years ago
13

Which of the following equations vould u solve by first adding six. and divided by -3

Mathematics
1 answer:
Reil [10]3 years ago
6 0
Which equations? I think you forgot to post a picture.
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What are the roots of the polynomial equation?<br><br> x2−14x−32=0
Dmitry [639]

We are given the quadratic equation :

x^{2} -14x-32=0

Now let us use AC method to factorise it.

Step 1:

Find product of A and C

A=1 and C =-32

A*C =-32

Step 2:

Find factors of -32 such that they add up to give -14.

Factors of -32 that add up to give -14 are -16 and 2.

Step 3:

Rewrite the equation using factors found in step 2.

x^{2} -16x +2x -32 =0

Step 4:

Factoring by grouping.

x(x-16) +2(x -16) =0

(x-16) (x+2) =0

Step 5:

Find roots.

x-16=0 gives x=16

x+2=0 gives x=-2

Answer : Roots of the given Polynomial equation are 16 and -2.


8 0
3 years ago
Read 3 more answers
Use the method of symmetry to find the extreme value of each quadratic function and the value of x for which it occurs.
-BARSIC- [3]

Answer:

  • See below

Step-by-step explanation:

The x-intercepts are the points with y- coordinate of 0

  • (x - 3)(x + 8) = 0
  • x - 3 = 0 or x + 8 = 0
  • x = 3 or x = - 8

a) x-intercepts are

  • 3 and - 8

b) midpoint of x-intercepts is

  • (3 - 8)/2 = - 5/2 = - 2.5

c) The extheme value has x- coordinate of - 2.5 and y- coordinate

  • (-2.5 - 3)(- 2.5 + 8) = (-5.5)(5.5) = - 30.25

d) f(- 2.5) = - 30.25

3 0
2 years ago
Find the initial point P of a vector u with terminal point Q(2,0,2), such that:9Fdhe iiial point P of a vector iu with terminal
denpristay [2]

Answer:

  a)  P = (-3, 4, 3)

  b)  P = (7, 4, 1)

Step-by-step explanation:

a) You want Q-P = (5, 4, -1) where Q = (2, 0, 2). Solving for P, we get ...

  P = Q - (5, 4, -1) = (2-5, 4-0, 2-(-1))

  P = (-3, 4, 3)

__

b) The vector in the opposite direction of the one given is the given one multiplied by -1.

  P = Q - (-1)(5, 4, -1) = (2+5, 0+4, 2-1)

  P = (7, 4, 1)

3 0
3 years ago
How to find if an equation is parallel perpendicular or neither?
iren [92.7K]
Look at the gradient of both the equations (the x multiplier, usually known as m), and there are a couple of rules:

Parallel: The gradients are identical
Perpendicular: Look at the gradients as fractions. To get the perpendicular to a gradient you flip the fraction and change the sign. If this is the case for the two gradients, then they are perpendicular.
6 0
3 years ago
Tom likes to go over to his friend's house almost every night to play video games. They usually spend 3 hours a night playing th
gulaghasi [49]

Answer:

it is 10

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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