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kozerog [31]
4 years ago
7

What is the distance between points (12, 4) and (12, –10) on the coordinate plane?

Mathematics
2 answers:
Kipish [7]4 years ago
5 0
<span>the distance between points (12, 4) and (12, –10) on the coordinate plane  is 14 units.

</span>
Kamila [148]4 years ago
3 0
The distance between the two points is 14 units
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Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22
madam [21]

The equation x^{2} +y^{2} +z^{2} +2x-4y-6z=22  in standard form looks like (x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}.

Given equation of sphere be x^{2} +y^{2} +z^{2} +2x-4y-6z=22.

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like  x^{2} +y^{2} +z^{2} =r^{2}.

The given equation is x^{2} +y^{2} +z^{2} +2x-4y-6z=22.

We have to break 22 which is in right side into various parts according to the left side of the equation.

x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36

x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36

x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36

x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36

(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}

Hence the equation x^{2} +y^{2} +z^{2} +2x-4y-6z=22  in standard form looks like (x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}.

Learn more about equations at brainly.com/question/2972832

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7 0
1 year ago
Oil prices are projected to increase by 50% by next March. A quart of oil currently costs $1.85. What is the projected cost of a
Zolol [24]

Answer:

$11.10 per gallon.

Step-by-step explanation:

There are 4 quarts in a gallon so the cost of a gallon of oil currently is 1.85×4=$7.40

If the gallon price of oil goes up 50% then our answer is: 7.40×\frac{3}{2}=\frac{22.2}{2}=11.1

The price of oil in March will be $11.10 per gallon.

6 0
3 years ago
if there are 2040 seats in a section of a stadium, 20 seats in the first row, and 4 more seats in each row, how many rows are th
Lorico [155]


2040 = n/2(20+(n-1)4)

4080 = n(20+4n-4)

4080= 20n +4n^2 -4n

1020 = 4n + n^2

n^2 +4n -1020 =0

use common formula (can't write out so just look at answers. sorry)

which gives answers of n=-34 and n=30. since n can only be positive, n=30 so there are 30 rows. I liked that challenge

5 0
3 years ago
Read 2 more answers
In the figure, VW || YZ. Find the value of x, and the measure of YA and WA.
svetoff [14.1K]

Step-by-step explanation:

because VW || YZ, the 2 triangles are similar.

this is given by the rules of equal angles of intersecting lines with parallel lines. Z to V and Y to W would be such intersecting lines.

and therefore, the angle at W is the angle at Y, the angle at V is the angle at Z. and therefore both angles at A are equal.

so, for similar triangles the scaling factor between corresponding pairs of sides is the same for all sides.

e.g. the same scaling factor that converts 7.2 to 12, converts then also x to x+4.

7.2 × f = 12

f = 12/7.2 = 12/ 72/10 = 120/72 = 10/6 = 5/3

x × 5/3 = x + 4

5x = 3x + 12

2x = 12

x = 6

A to Y = x = 6

W to A = x + 4 = 6 + 4 = 10

5 0
2 years ago
Use the expression you found above to find the total number of baseballs and tennis balls if the manager bought 9 boxes of each
Amiraneli [1.4K]
The answer is 9 boxes of each
5 0
3 years ago
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