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MrRissso [65]
3 years ago
11

1. What domain restrictions apply to this rational expression? show work x2 +10x+9/ x2-9

Mathematics
1 answer:
seropon [69]3 years ago
7 0

9514 1404 393

Answer:

  x ≠ -3, x ≠ 3

Step-by-step explanation:

As with any rational function, the denominator cannot be zero. Here that means we cannot have x such that ...

  x² -9 = 0

  (x -3)(x +3) = 0

  x = 3 or -3 . . . . . . . values not allowed in the domain

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1/2 times 2/3 divided by 1/4 times 1/2
Flauer [41]

Answer:

.66 (repeating) or the rounded answer is .67

Step-by-step explanation:

1/2 times 2/3 = .33(repeating)

.33(repeating divided by 1/4 = 1.33(repeating)

1.33(repeating) times 1/2 = .66(repeating)

3 0
3 years ago
An airplane flies 390 miles in 3/4 hour. what is its average speed in miles per hour
pishuonlain [190]

Answer:

1,560mi/h

Step-by-step explanation:

390 miles in 15 minutes

X miles in 60 minutes

(Cross multiplication)

(390*60)/15 = 1560

8 0
3 years ago
On a parallelogram, the vector from one vertex to another vertex is (9,-2). What is the length of the side?
sertanlavr [38]

Answer:  Second Option is correct.

Step-by-step explanation:

Since we have given that

In a parallelogram, the vector from one vertex to another vertex is (9,-2)

So, the co-ordinate of first vertex will be (9,0).

And the coordinate of second vertex will be (0,-2).

As we know the formula for "Distance between two coordinates":

So, The length of the side is given by

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\Distance=\sqrt{(9-0)^2+(0-(-2))^2}\\\\Distance=\sqrt{9^2+2^2}\\\\Distance=\sqrt{81+4}\\\\Distance=\sqrt{85}

Hence, Second Option is correct.

6 0
4 years ago
Read 2 more answers
What two numbers add up to 6 but multiply to 1
ra1l [238]
The two numbers (rounded) are

<em>5.84823</em> and <em>0.17157</em>
6 0
3 years ago
How to solve this equation <br> 8(4-x)= 7x+2
Andrews [41]
8 ( 4 - x ) = 7x + 2
32 - 8x = 7x + 2
      -7x     -7x
--------------------------
32 - 15x = 2
-32           -32
----------------------------
-15x = -30
/-15      /-15

x = 2.
3 0
3 years ago
Read 2 more answers
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