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atroni [7]
3 years ago
10

Write a related subtraction fact for 9 + 3 = 12. Explain how the two facts are related.

Mathematics
1 answer:
Mademuasel [1]3 years ago
8 0
12-9=3
3+9=12

Fact Family
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The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i
Hunter-Best [27]

Answer:

(x+3)^2+(y+11)^2=121

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

  • Blue line is given by y = 4x + 1.
  • Point B is the center of the circle.
  • Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

(x-h)^2+(y-k)^2=r^2

then with h = -3, k = -11 and r= 11, the equation of our circle is

(x+3)^2+(y+11)^2=121

5 0
3 years ago
A distribution is positively skewed if which of these statements is true about
oee [108]
B is the answer to this question
8 0
2 years ago
*20 POINTS PLEASE HELP*
Softa [21]

Answer:

upper right 31 middle right 24, bottom right 55

upper middle 10, center box 7, lower middle 17

upper left 41, middle left 31, bottom left 72

Step-by-step explanation:

cat and dog is the overlapping part of th diagram, 31 people like both.

dog and not cat is the left side of the

diagram, 24 people only like dogs

the total of people who like dogs is adding the left number with the the center number and 55 people all like dogs

dislikes dogs likes cats is the right side of the diagram, 10 people

not dog not cat, those who want neither are outside both bubbles, 7

the total of people who would not get a dog is 17

the total of people who like cats is the middle of the chart and the right added together 31+10 is 41

the total of people who dont like cats is the left side and the number of people who dont like anything 24+7 is 31

the total number of all the people could be gotten by adding all the number on the display together 24+31+10+7=72

or by adding the other bottom totals 55+17= 72, or by adding the other left totals together 41+31=72

3 0
3 years ago
The product of two consecutive negative even integers is 24. What is the smaller of the two numbers?
Karo-lina-s [1.5K]

Answer:

The smaller one is -6, the bigger one is -4.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the solution to this equation? 2x+4=16
AlekseyPX

2x+4=16\\\\2x=12\\\\x=6

3 0
3 years ago
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