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2 years ago

The circle x2+y2=36 is translated 5 Units left and 4 units up where is the center of the new circle after the translation

1 answer:

6 0

The general equation of a circle is given by:
(x-a)^2+(x-b)^2=r^2
where:
(a,b) is the center
r is the radius

given the equation:
x^2+y^2=36
it means that the equation is centered at (0,0) with radius of 6 units. Thus a translation of 5 units to the left and 4 units up, will change the new center to
(-5,4)
thus the equation will be:
(x+5)^2+(y-4)^2=36

Answer: (x+5)^2+(y-4)^2=36

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HELPPPPPP this is due tonight!!!!

laiz [17]

Answer:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Step-by-step explanation:

We proceed to solve algebraically and explain each step:

1) $4\cdot x +1 +x + 3 = -11$ GIven

2) $4\cdot x +x +1 + 3 = -11$ Commutative property

3) $(4+1)\cdot x +4 = -11$ Distributive property/Definition of addition

4) $5\cdot x +4 = -11$ Definition of addition

5) $5\cdot x +4 -4 = -11-4$ Compatibility with addition

6) $5\cdot x = -15$ Existence of additive inverse/Modulative property

7) $\frac{1}{5}\cdot (5\cdot x)= \frac{1}{5}\cdot (-15)$ Compatibility with multiplication

8) $x = - 3$ Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Hence, we have the following answers:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

6 0

2 years ago

You owe $1,568.00 on a credit card with a limit of $2,200.00 at an interest rate of 11.3% APR. You pay $300.00/month until it is

Alika [10]

Answer: the awnser is c, if it is not, that would be weard bc i just did this one

6 0

3 years ago

Read 2 more answers

X2 +x − 4 = 0

Rus_ich [418]

Answer:

a=1
b=1
c=-4
x = (-1 ±√17)/2

Step-by-step explanation:

The coefficient of x^2 is "a". That is 1.

The coefficient of x is "b". That is 1.

The constant term is "c". That is -4.

The values of a, b, and c are 1, 1, and -4, respectively.

_____

The solution is ...

x = (-b ±√(b^2-4ac))/(2a)

Filling in the values of a, b, and c, this is ...

x = (-1 ±√(1^2 -4·1·(-4)))/(2·1)

x = (-1 ±√17)/2

3 0

3 years ago

What is the number that has 2 hundreds and the tens digit is 9 more than the ones digit?

Over [174]

The number is 290 because 2 is in the hundreds and 9 more in tens than ones place then has to be 0.

3 0

3 years ago

A bank loaned out $33,500, part of it at the rate of 12% annual interest, and the rest at 14% annual interest. The total interes

algol13

Answer:

$17,500 at 14%
$16,000 at 12%

Step-by-step explanation:

Let x represent the amount loaned at 14%. Then the total interest earned is ...

0.14x +0.12(33,500 -x) = 4,370

0.02x = 350 . . . . . . . . . . subtract 4020 and simplify

x = 17500 . . . . . . . . . divide by 0.02

The amount loaned at 12% is $33,500 -17,500 = $16,000.

$17,500 was loaned at 14%

$16,000 was loaned at 12%

3 0

2 years ago