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iogann1982 [59]
3 years ago
13

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

Mathematics
1 answer:
Andrej [43]3 years ago
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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An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that
Sphinxa [80]

Answer:

  • 71° and 71°.

⠀

Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

⠀

  • So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

⠀

We know that,

  • The sum of all angles of a triangle is 180°

⠀

So, According to the question :

⠀

{\longrightarrow \it\qquad { \ { {  38 \: }^{ \circ}   + x + x  =  180{}^{ \circ} }}}

⠀

{\longrightarrow \it\qquad { \ { {  38 \: }^{ \circ}   + 2x   =  180{}^{ \circ} }}}

⠀

{\longrightarrow \it\qquad { \ {   2x   =  180{}^{ \circ} - {  38 \: }^{ \circ}}}}

⠀

{\longrightarrow \it\qquad { \ {   2x   =  142{}^{ \circ}  }}}

⠀

{\longrightarrow \it\qquad { \ {   x   =    \dfrac{142{}^{ \circ}}{2}   }}}

⠀

{\longrightarrow \it\qquad { \pmb {   x   =  71^{ \circ}  }}}

⠀

Therefore,

  • The measure of the two other angles of the isosceles triangle are 71° and 71°.
3 0
2 years ago
The vertices of quadrilateral PQRS are listed.
Klio2033 [76]

Answer:

I think it's a rectangle. Any time you need to plot points on a graph go to desmos graph and plot them.

6 0
2 years ago
Two communications companies offer calling plans. With Company X, it costs 30¢ to connect and then
tensa zangetsu [6.8K]
<h3>Answer:  n+15</h3>

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

Explanation:

  • n = number of minutes
  • cost of company X = 3n+30
  • cost of company Y = 2n+15

To find out how much more company X charges, we subtract the two cost expressions

CompanyX - CompanyY = (3n+30)-(2n+15) = 3n+30-2n-15 = n+15 which is the final answer.

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

An example:

Let's say you talk on the phone for n = 20 minutes.

Company X would charge you 3n+30 = 3*20+30 = 90 cents

Company Y would charge you 2n+15 = 2*20+15 = 55 cents

The difference of which is 90-55 = 35 cents.

If you plugged n = 20 into the n+15 expression we got, then n+15 = 20+15 = 35 matches up with the previous 35 cents.

This example helps confirm the answer. I'll let you try out other examples.

8 0
2 years ago
Slove system of equations y=2x-3 y=x^2-2x-8
Fiesta28 [93]

Answer:

2 solutions:

x=5 and y=7

x=-1 and y=-5

Step-by-step explanation:

y=2x-3

y=x^2-2x-8

y=y   so:

2x-3=x^2-2x-8

simplifying to:

x^2-4x-5=0

factoring to:

(x-5)(x+1)=0

x=5 or x=-1

if x=5 then y=2(5)-3=7

if x=-1 then y=2(-1)-3=-5

3 0
2 years ago
Identify the remainder when x3 - 3x2 - 9x is divided by x - 6.
kiruha [24]

Let p(x) be any polynomial of degree greater than or equal to one and let 'a' be any real number. If a polynomial p(x) is divided by x - a then the remainder is p(a). Hence by the remainder theorem, 0 is the remainder when x3 + 3x2 + 3x + 1 is divided by x + 1.

8 0
2 years ago
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