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kvv77 [185]
2 years ago
8

Please Help Keep getting 6.4

Mathematics
2 answers:
elixir [45]2 years ago
8 0

Answer:

r = 3

Step-by-step explanation:

x^2 + 6x + y^2 - 8y = - 16

Take half the linear term and square it.

x^2 + 6x + (3)^2 + y^2 - 8y + (-4)^2 = - 16

Add the squared amounts to the right.

x^2 + 6x + 9 + y^2 - 8y + 16 = - 16 + 9 + 16  

Combine on the right.

x^2 + 6x + 9 + y^2 - 8y + 16 = 9

Represent the 2 quadratics as perfect squares.

(x + 3)^2 + y - 4)^2 = 9

The radius is the square root of 9 which is 3

cestrela7 [59]2 years ago
8 0

Answer:

radius=3

Step-by-step explanation:

Given:

x^2 +6x +y^2 - 8y=-16

completing the squares

: x^2 +6x +9 = (x+3)^2

:y^2-8y+16 = (y-4)^2

(x+3)^2 + (y-4)^2 -9-16=-16

(x+3)^2 + (y-4)^2=-16+9+16

(x+3)^2 + (y-4)^2=9

Now comparing with standard equation of circle i.e. (x-h)^2 + (y-k)^2=r^2, we get

origin(h,k)= (-3,4)

r=3 !

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Veronika [31]
(9, -2) translated (x + 5, y - 3) => (14, -5)
(14, -5) reflected across the y-axis =>
(- 14, - 5)
6 0
3 years ago
A) Work out the value of (square root of 5)^2 x (square root of 3)^2?
gulaghasi [49]

Answer:

15

Step-by-step explanation:

Square root of 5=√5

Square of the square root=(√5)^2

=5

Square root of 3=√3

Square of the square root=(√3)^2

=3

So (square root of 5)^2×(square root of 3)^2

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15

Therefore the final answer is 15

6 0
2 years ago
Please help me with this problem, The answer is 192 but how do you solve it??
AnnZ [28]

Answer:

192

Step-by-step explanation:

You can form a rectangle from sides 15 and 3, another rectangle with dimensions 10 and 9, another rectangle with dimensions 6 and 5, and a triangle with sides 9 and 6 (all formed by extending lines inside the figure, don't want to go into detail). Add all the areas and the answer would be 192:

15*3 =45

10*9=90

6*5=30

0.5*9*6=27;

45 + 90 +30 + 27 = 192 units squared

3 0
3 years ago
A right triangle has one angle that measures 22 degrees. What is the measure of the other acute angle?
sesenic [268]

Answer:

68 degrees

Step-by-step explanation:

If they tell you it's a right triangle, you automatically know one angle is 90 degrees. Since they've told you another angle is 22 degrees, the total number of degrees you have out of 180 is 112. Meaning, whatever's left is your third angle.

180 - 90 - 22

= 180 - 112

= 68 degrees

I hope this helps!

4 0
2 years ago
I need help on this PLEASE!!
Rama09 [41]

Answer:

I can't solve this completely for you, but I'll help you figure it out.

Step-by-step explanation:

All you need to do is choose a number to plug in for x, I'd start with zero and work my way up. Do this for all equations to solve for solutions to your problem.

6 0
2 years ago
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