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9966 [12]
3 years ago
11

Anyone know how the graph is suppose to go?

Mathematics
1 answer:
zheka24 [161]3 years ago
5 0
Remark
You have given the second best answer. Your answer is |x|<1. You should have open circles at 1 and - 1. 

Solution
I have enclosed a graph that is not a number line. You could confine yourself to a number line just by tracing out the blue solution (which is the answer you want)

The red solution is what you did.
The blue solution does not include x = 1 nor does it include x = - 1. The number line would show 1 < x < ∞ and  -∞ < x < -1  

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Complete the square for x^2+12x-5.
Setler [38]

Answer:

x^2+12x-5=(x+6)^2-41

Step-by-step explanation:

The given expression is x^2+12x-5

Comparing to ax^2+bx+c, we have a=1,b=12,c=-5

We add and subtract (\frac{b}{2a})^2

x^2+12x+6^2-6^2-5

This implies that:

\boxed{x^2+6x+36}-36-5

The expression in the rectangle is a perfect square

(x+6)^2-41

Therefore x^2+12x-5=(x+6)^2-41

3 0
3 years ago
Part A: Plot the points A(-8,7) and B(6,-9). Mark the halfway point on AB and label it point M. What are the coordinates of M? P
vredina [299]

Answer:

a. M(x,y) = (-1,-1)

b. D(-4,-9)

Step-by-step explanation:

Given

A(-8,7) and B(6,-9).

Solving (a):

Determine the Midpoint M;

This is calculated as follows;

M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Where

(x_1,y_1) = (-8,7)

(x_2,y_2) = (6,-9)

Substitute these values in the formula

M(x,y) = (\frac{-8+6}{2},\frac{7-9}{2})

M(x,y) = (\frac{-2}{2},\frac{-2}{2})

M(x,y) = (-1,-1)

<em>Hence; the midpoint is (-1,-1)</em>

Solving (a):

Here, we have

C = (2,7)

M; Midpoint = (-1,-1)

Required: Determine D

This is calculated as follows;

M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Where

(x_1,y_1) = (2,7)

(x,y) = (-1,-1)

Substitute these values in the formula

(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})

Solving for x2

-1 = \frac{2 + x_2}{2}

Multiply both sides by 2

-2 = 2 + x_2

Subtract 2 from both sides

x_2 = -2 - 2

x_2 = -4

Solving for y2

-1 = \frac{7 + y_2}{2}

Multiply both sides by 2

-2 = 7 + y_2

Subtract 7 from both sides

y_2 = -2 - 7

y_2 = -9

Hence, the coordinates of D is

D(-4,-9)

7 0
4 years ago
Factorise 16x2 + 4y2 + 9z2 – 16xy + 12yz – 24zx using standard algebraic identities.​
Zigmanuir [339]

Step-by-step explanation:

16x2 + 4y2 + 9z2 – 16xy + 12yz – 24zx

(-4x)²+(2y)²+(3z)²+2(-4x)(2y)+2(2y)(3z)+2(-4x)(3z)

So,

(-4x+2y+3z)²

or

(-4x+2y+3z).(-4x+2y+3z)

4 0
3 years ago
a plane flies with 54% of its seats empty. if 81 seats are empty what is the total number of seats on the plane
ivanzaharov [21]
Answer=150 seats were on the plane total

  54      81
____=____
 100      x

cross multiply

54x=8100
x=150 seats
6 0
4 years ago
Read 2 more answers
Give a polynomial of degree 3 that has zeros of 18, 10i, and -10i and has a value of -3434 when x = 1. Write the polynomial in s
Blizzard [7]

Answer:

nice answer I think so so keep doing what you are doing

6 0
3 years ago
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