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Tasya [4]
2 years ago
12

Find the diameter of circle N if PQ = 14 and PR is congruent to RQ. NR is 5. Round the answer to the tenths place.

Mathematics
2 answers:
Arlecino [84]2 years ago
8 0
Radius = sqrt(7^2 - 5^2) = sqrt(49 - 25) = sqrt(24) = 4.90
diameter = 2 * radius = 2(4.90) = 9.8
ICE Princess25 [194]2 years ago
5 0
I hope this helps you

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Given PQR is congruent to STU, find the value of x​
lukranit [14]

Answer:X=15 Y=4

Step-by-step explanation:

1. PR=US or 3y=12 divide 3y by 3 and cancel 3 out then divide 12 and get Y=4.

2. QR=TU or 2x=30, divide 2x by 2 and cancel out 2, then divide 30 by 2 and get X=15.

3. PQ=ST or 64=4x+y or 64=4(15)+4 and get 64=64

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2 years ago
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4 0
3 years ago
4 - (-8) =<br> What is the answer
lianna [129]

Answer:

12

Step-by-step explanation:

When you subtract a negative number, the two negatives make a plus sign.

4 - (-8)

= 4 + 8

= 12

5 0
3 years ago
Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software,
vichka [17]

Answer:

A(-1,0) is a local maximum point.

B(-1,0)  is a saddle point

C(3,0)  is a saddle point

D(3,2) is a local minimum point.

Step-by-step explanation:

The given function is  

f(x,y)=x^3+y^3-3x^2-3y^2-9x

The first partial derivative with respect to x is  

f_x=3x^2-6x-9

The first partial derivative with respect to y is  

f_y=3y^2-6y

We now set each equation to zero to obtain the system of equations;

3x^2-6x-9=0

3y^2-6y=0

Solving the two equations simultaneously, gives;

x=-1,x=3  and y=0,y=2

The critical points are

A(-1,0), B(-1,2),C(3,0),and D(3,2).

Now, we need to calculate the discriminant,

D=f_{xx}(x,y)f_{yy}(x,y)-(f_{xy}(x,y))^2

But, we would have to calculate the second partial derivatives first.

f_{xx}=6x-6

f_{yy}=6y-6

f_{xy}=0

\Rightarrow D=(6x-6)(6y-6)-0^2

\Rightarrow D=(6x-6)(6y-6)

At A(-1,0),

D=(6(-1)-6)(6(0)-6)=72\:>\:0 and f_{xx}=6(-1)-6=-18\:

Hence A(-1,0) is a local maximum point.

See graph

At B(-1,2);

D=(6(-1)-6)(6(2)-6)=-72\:

Hence, B(-1,0) is neither a local maximum or a local minimum point.

This is a saddle point.

At C(3,0)

D=(6(3)-6)(6(0)-6)=-72\:

Hence, C(3,0) is neither a local minimum or maximum point. It is a saddle point.

At D(3,2),

D=(6(3)-6)(6(2)-6)=72\:>\:0 and f_{xx}=6(3)-6=12\:>\:0

Hence D(3,2) is a local minimum point.

See graph in attachment.

3 0
3 years ago
Find the solution set for the following equation. <img src="https://tex.z-dn.net/?f=-%5Csqrt%28x%29%3D5" id="TexFormula1" title=
andrey2020 [161]

Answer:

Solution set = {25}

Step-by-step explanation:

=> -\sqrt{x} =5

Dividing both sides by -1

=> \sqrt{x} = -5

Taking square on both sides

=> x = 25

<em><u>Solution set = {25}</u></em>

3 0
2 years ago
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