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Mandarinka [93]
3 years ago
12

Equation of a circle

Mathematics
1 answer:
pogonyaev3 years ago
7 0
Equation of a circle it’s (x-h)^2+(y-k^2)=r^2
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30. What is the solution to the system of equations? (1 point)
sesenic [268]

Answer:

Option B) (-1,7,5) is correct.

The solution to the given system of equation is (-1,7,5)

Step-by-step explanation:

Given system of equations are

-7x-2y+z=-2\hfill (1)

6x-y-z=-18\hfill (2)

5x+4y-z=18\hfill (3)

To find the solution of the given system of equations by using Elimination method:

Now adding equations (1) and (2)

-7x-2y+z=-2

6x-y-z=-18

_________________

-x-3y=-20

________________

-x-3y=-20

-(x+3y)=-20

x+3y=20\hfill (4)  (since "-" getting cancelled)

Now adding equations (1) and (3)

-7x-2y+z=-2

5x+4y-z=18

_________________

-2x+2y=16

________________

-2x+2y=16

2(-x+y)=16

-x+y=8\hfill (5)

Now adding equations (4) and (5)

x+3y=20

-x+y=8

_________________

4y=28

________________

y=\frac{28}{4}

Therefore y=7

Substituting y=7 in equation (4)

x+3y=20

x+3(7)=20

x+21=20

x=20-21

Therefore x=-1

Now substituting the values x=-1 and y=7 in equation (1) we get

-7x-2y+z=-2

-7(-1)-2(7)+z=-2

7-14+z=-2

z=-2+7

Therefore z=5

Therefore the solution to the given system of equation is (-1,7,5)

Therefore Option B) (-1,7,5) is correct.

8 0
3 years ago
4. What is the total cost of 400 square feet of land if it sells for<br> $110 per square foot?
zvonat [6]

The total cost of 400 square feet of land if it sells for $110 per square foot is $ 44,000.

<h3>what is Area?</h3>

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Here, Total area = 400 sq. units

          Cost per square foot = $ 110

  Total Cost = Total area X Cost per unit area

     TC = 400 X 110

      TC = 44,000

Thus, the total cost of 400 square feet of land if it sells for $110 per square foot is $ 44,000.

Learn more about Area from:

brainly.com/question/27683633

#SPJ1

8 0
2 years ago
Hi! Can someone help, please with a cherry on top?
Angelina_Jolie [31]

Answer:

b bbb bbhdixbxidndidjd

6 0
3 years ago
Please i need help with this. please dont scam, worth 20 points
andre [41]

Answer:

B and D are the answers

Step-by-step explanation:

4 0
3 years ago
Construct a line from A perpendicular to the x-axis, determine the distance from A to the x-axis along this perpendicular line,
Vaselesa [24]

Step-by-step explanation:

To determine distances, we need to use this formula: d=\sqrt{(y_{2}-y_{1} ) ^{2} +(x_{2}-x_{1})  ^{2} }

To apply that formula we need to use the coordinates of point, but in this case will be calculated generally, due to the lack of specific values.

So, Point A have the coordinates (x_{1};y_{1})

Let's call Point P the one that's on the x-axis, its coordinates are (p_{1};q_{1})

Applying the formula, the distance between this two points will be:

d=\sqrt{(q_{1}-y_{1} ) ^{2} +(p_{1}-x_{1})  ^{2} }

To find an opposite and equidistant point, we only need to use opposite values. So, let's call Point B, the opposite point, its coordinates will be:

(-x_{1};-y_{1})

And the distance will be the same, because squared values will always results positive.

3 0
3 years ago
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