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AfilCa [17]
3 years ago
15

-12+x-34=60 If you like this question please rate this five stars! Thank you!

Mathematics
1 answer:
natulia [17]3 years ago
8 0

Answer:

x=106

Step-by-step explanation:

Let's solve your equation step-by-step.

−12+x−34=60

Step 1: Simplify both sides of the equation.

−12+x−34=60

−12+x+−34=60

(x)+(−12+−34)=60(Combine Like Terms)

x+−46=60

x−46=60

Step 2: Add 46 to both sides.

x−46+46=60+46

x=106

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Which function has a range limited to only negative numbers?
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The function that has a range limited to only negative numbers is Square Root.

<h3>Can one has the range of a function to be negative?</h3>

The function of this kind is known to be a kind of radical function that is said to have even index e.g. a square root.  and thus, this radicand  is one that can have a negative value for some or for the  values of x.

Note therefore, that The function that has a range limited to only negative numbers is Square Root and thus it is correct.

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Answers:

Equation is (x+1)^2 + (y+2)^2 = 25

Center is (-1, -2)

Radius = 5

===========================================

Work Shown:

x^2+2x+y^2+4y=20\\\\(x^2+2x)+(y^2+4y)=20\\\\(x^2+2x+1)+(y^2+4y)=20+1\\\\(x^2+2x+1)+(y^2+4y+4)=20+1+4\\\\(x+1)^2 + (y+2)^2 = 25\\\\

center = (h,k) = (-1,-2)

radius = 5

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

Explanation:

I grouped up the x and y terms separately. Then I added 1 to both sides to complete the square for the x terms. I cut the 2 from 2x in half, then squared it to get 1. In the next step, I cut the 4 from 4y in half to get 2, which squares to 4. So that's why I added 4 to both sides to complete the square for the y terms.

Each piece is factored using the perfect squares factoring rule which is a^2+2ab+b^2 = (a+b)^2

The last equation is in the form (x-h)^2 + (y-k)^2 = r^2

We can think of x+1 as x - (-1) to show that h = -1

Similarly, y+2 = y-(-2) = y-k to show that k = -2

The center is (h,k) = (-1,-2)

The radius is r = 5 because r^2 = 5^2 = 25 is on the right hand side in the last equation above.

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