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Georgia [21]
3 years ago
13

What is the equation for each line?​

Mathematics
1 answer:
galina1969 [7]3 years ago
8 0
Red: y= 2x
Black: y= 2x
Yellow: y= -3x
Green: zero slope
Blue: undefined slope
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Consider a circle with radius 5 and another circle with radius 3. Let d represent the distance between the two centers.We want t
ElenaW [278]

Answer:

If d<2, there is no intersection

If d=2, there is one intersection

If 2<d<8, there are two intersections

If d=8, there is one intersection

if d>8, there is no intersection

Step-by-step explanation:

If d<2 (the difference between both radius is 2), the little circle is inside the big one. Thus there is no intersection.

If d=2, the little circle is inside but tangent to the big one. There is one intersection then.

If 2<d<8, there are two intersections since the little circle has a portion outside the big one, and another portion inside.

If d=8, the little circle is tangent to the big one from outside. There is one intersection then.

if d>8, the little circle is completely exterior to the big one. Thus, there is no intersection.

Please find attached the figure for d = 10. The big circle is centered and the other is offset by 10.

4 0
3 years ago
A study of consumer smoking habits includes A people in the 18-22 age bracket (B of whom smoke), C people in the 23-30 age brack
madreJ [45]

The correct question is:

A study of consumer smoking habits includes 167 people in the 18-22 age bracket (59 of whom smoke), 148 people in the 23-30 age bracket (31 of whom smoke), and 85 people in the 31-40 age bracket (23 of whom smoke). If one person is randomly selected from this sample, find the probability of getting someone who is age 23-30 or smokes

Answer:

The probability of getting someone who is age 23-30 or smokes = 0.575

Step-by-step explanation:

We are given;

Number consumers of age 18 - 22 = 167

Number of consumers of ages 22 - 30 = 148

Number of consumers of ages 31 - 40 = 85

Thus,total number of consumers in the survey = 167 + 148 + 85 = 400

We are also given;

Number consumers of age 18 - 22 who smoke = 59

Number of consumers of ages 22 - 30 who smoke = 31

Number of consumers of ages 31 - 40 who smoke = 23

Total number of people who smoke = 59 + 31 + 23 = 113

Let event A = someone of age 23-30 and event B = someone who smokes. Thus;

P(A) = 148/400

P(B) = 113/400

P(A & B) = 31/400

Now, from addition rule in sets which is given by;

P(A or B) = P (A) + P (B) – P (A and B)

We can now solve the question.

Thus;

P(A or B) = (148/400) + (113/400) - (31/400)

P(A or B) = 230/400 = 0.575

4 0
3 years ago
How many pieces of wood, each 2/5 meters long can be cut from a plank 200m long?
olga2289 [7]

Answer:

2/5= 0.4

200/0.4= 500 pieces of wood can be cut from the plank!

Hope this helps :)

Step-by-step explanation:

4 0
3 years ago
Anyone know what 13+(x+8) is
babymother [125]
Answer:
13 + x + 8
= x + 21
6 0
3 years ago
Simplify. Rewrite the expression in the form 5^n <br> 5^2*5^5
alexdok [17]

Answer:

5^10

Step-by-step explanation:

3 0
3 years ago
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