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Likurg_2 [28]
3 years ago
5

Which number in the set {6, 12, 18, 36} satisfies the equation below? 6x - 18 = 54

Mathematics
1 answer:
svp [43]3 years ago
4 0

Answer:

12

Step-by-step explanation:

Solving the equation would be the easiest way to find out which number fits.

6x - 18 = 54

6x = 72

x = 12

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Area of a rectangular field is 2c^3-c^2+6 square units. If the length of the field is c-2 units, what is its width ?
Tema [17]
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6 0
3 years ago
What is the measure of Zc<br>​
maks197457 [2]

Answer: 56 degrees

Step-by-step explanation:

We know that angle between b and c is 90 degrees. Because there is a line dividing angles a and b from 124 and c, we also know that each side is 180 degrees (a and b add to 180, and 124 and c add to 180).

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3 0
3 years ago
What is a common factor?
dybincka [34]
Factors are the numbers you multiply together to get another number. When you find the factors of two or more numbers, and then find some factors are the same ("common"), then they are the "common factors<span>"

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• The factors of 30 are: 1, 2, 3, 5, 6, 10, 15 and 30
<span>So the common factors of 12 and 30 are: 1, 2, 3 and 6
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7 0
3 years ago
Write the standard form equation of the ellipse shown in the graph, and identify the foci.
vlada-n [284]

Answer option A

From the given graph is a Vertical ellipse

Center of ellipse = (-2,-3)

Vertices are (-2,3)  and (-2,-9)

Co vertices are (-6,-3) and (2,-3)

The distance between center and vertices = 6, so a= 6

The distance between center and covertices = 4 , so b= 4

The general equation of vertical ellipse is

\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2}=1

(h,k) is the center

we know center is (-2,-3)

h= -2, k = -3 , a= 6  and b = 4

The standard equation  becomes

\frac{(x+2)^2}{4^2} + \frac{(y+3)^2}{6^2}=1

\frac{(x+2)^2}{16} + \frac{(y+3)^2}{36}=1

Foci  are (h,k+c)  and (h,k-c)

c=\sqrt{a^2-b^2}

Plug in the a=6  and b=4

c=\sqrt{6^2-4^2}

 c=\sqrt{20}

  c=2\sqrt{5}, we know h=-2  and k=-3

Foci  are   (-2,-3+2\sqrt{5})  and  (-2,-3-2\sqrt{5})

Option A is correct

6 0
4 years ago
If a segment has an<br> endpoint of (-2,9) and a<br> midpoint (3,-2), find the other<br> endpoint.
Alik [6]

Answer: (8, -13)

Step-by-step explanation:

-2 is 5 away from 3, and 9 is 11 away from -2. so add 5 to 3 which is 8, and add -11 to -2 which is -13.

5+3=8 (x)

-11+(-2)=-13 (y)

There for the correct answer is (8, -13) when (x, y).

Please Rate!! It helps me know if I'm explaining it well enough!! Thank you!<3

5 0
3 years ago
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