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lora16 [44]
3 years ago
15

What is an expression with a negative exponent that has a value between 0 and 1/2

Mathematics
1 answer:
melisa1 [442]3 years ago
4 0
-1, -1/2, -2 so solve it like this on the numberline
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What is the coordinate?
faltersainse [42]
Remember that the equation of a circle is:
(x - h)^{2} + (y - k)^{2} =  r^{2}
Where (h, k) is the center and r is the radius.
We need to get the equation into that form, and find k.

x^{2} - 6x +  y^{2} - 10y = 56

Complete the square. We must do this for x² - 6x and y² - 10y separately.

x² - 6x
Divide -6 by 2 to get -3.
Square -3 to get 9. Add 9,
x² - 6x + 9

Because we've added 9 on one side of the equation, we have to remember to do the same on the other side.

x^{2} - 6x + 9 + y^{2} - 10y = 65

Now factor x² - 6x + 9 to get (x - 3)² and do the same thing with y² - 10y.

y² - 10y
Divide -10 by 2 to get -5.
Square -5 to get 25.
Add 25 on both sides.

(x - 3)^{2}+ y^{2} - 10y + 25= 90

Factor y² - 10y + 25 to get (y - 5)²

(x - 3)^{2}+ (y - 5)^{2} = 90

Now our equation is in the correct form. We can easily see that h is 3 and k is 5. (not negative because the original equation has -h and -k so you must multiply -1 to it)

Since (h, k) represents the center, (3, 5) is the center and 5 is the y-coordinate of the center.
7 0
3 years ago
The cost of 3 movie rentals and 7 boxes is 16:50.the cost of 5 movie rentals and 2 boxes of candy is 13 how much does 1 box of c
Zigmanuir [339]
One box of candy costs $1.50. A movie rental costs $2.
7 0
3 years ago
−6x + 14 < −28 OR 9x + 15 ≤ −12. solve for x.
sasho [114]

Answer:

x>7 or x ≤ -3

Step-by-step explanation:

Solving the 1st inequality

-6x +14 < -28 --------------- (Collect like terms)

-6x < -28 - 14

-6x < - 42 -------------------- (Divide both sides by -6)

Note: If you decide an inequality expression by a negative value, the inequality sign changes)

-6x/-6 > -42/-6

x > 7

Solving the 2nd inequality

9x + 15 ≤ −12 ----------- (Collect like terms)

9x ≤ −12 - 15

9x ≤ −27 ------------------(Divide both sides by 9)

9

9x/9 ≤ −27/9

x ≤ -3

Bring both results together, we get

x>7 or x ≤ -3

The final result is complex (i.e. can't be combined together).

4 0
3 years ago
Two cars leave the same place at the same time, but drive in opposite directions along a straight road. one car averages 35 mi/h
Goshia [24]

As we do not know the other cars avg speed we can not tell the answer. Please repeat the question.

6 0
3 years ago
write three ratios that are equilvalent to the one given:18 right-handed students for every 4 left handed students
galina1969 [7]
Well, your ratio given is 18 to 4. so multiply both numbers (18 and 4) by some number and you will have an equivalent ratio. 
example: if you had 2 times as many people, then an equivalent ratio would be 18*2 to 4*2 = 36 to 8
7 0
3 years ago
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