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HACTEHA [7]
3 years ago
15

Indicate in standard form the equation of the line passing through the given points. X(0, 6), Y(5, 6)

Mathematics
1 answer:
Olegator [25]3 years ago
8 0
(0,6)(5,6)
notice how the y values are they same.....this means u have a horizontal line with a 0 slope.

y = 0x + 6...slope intercept form
0x + y = 6 <==== standard form
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If p q r is prime numbers such that pq+r=73, what is the least possible value of p+q+r
Jobisdone [24]
The answer to this question would be: p+q+r = 2 + 17 + 39= 58

In this question, p q r is a prime number. Most of the prime number is an odd number. If p q r all odd number, it wouldn't be possible to get 73 since
odd x odd + odd= odd + odd = even
Since 73 is an odd number, it is clear that one of the p q r needs to be an even number. 

There is only one odd prime number which is 2. If you put 2 in the r the result would be:
pq+2= 73
pq= 71
There will be no solution for pq since 71 is prime number. That mean 2 must be either p or q. Let say that 2 is p, then the equation would be: 2q + r= 73

The least possible value of p+q+r would be achieved by founding the highest q since its coefficient is 2 times r. Maximum q would be 73/2= 36.5 so you can try backward from that. Since q= 31, q=29, q=23 and q=19 wouldn't result in a prime number r, the least result would be q=17
r= 73-2q
r= 73- 2(17)
r= 73-34=39

p+q+r = 2 + 17 + 39= 58
6 0
3 years ago
Read 2 more answers
Helppp plzz will mark brainleast
Klio2033 [76]
What is the height!
5 0
3 years ago
Sebastian swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In th
lord [1]

Answer:

\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}

Step-by-step explanation:

Please consider the complete question.

Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?    

Let us convert time taken into hours as:

\text{Days}=5\times 12=60

\text{Minutes}=60\times 45

1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

\text{Hours}=\frac{60\times 45}{60}=45

Now, we will divide 1800 by 45 to find average rate in laps per hour as:

\text{Average rate}=\frac{\text{1800 laps}}{\text{45 hours}}

\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}

Therefore, Sebastian's average rate is 40 laps per hour.

6 0
3 years ago
A lifeguard is in a look out chair and sees a person in distress. The eye level of the lifeguard is 15 feet above the ground. Th
faltersainse [42]

Answer:

Horizontal distance between lifeguard and the person is 22 feet.

Step-by-step explanation:

Given: A lifeguard sees a person in distress.The eye level of the lifeguard is 15 feet above the ground. Angle of depression is 34°.

To find: Horizontal distance between lifeguard and the person.

Solution : If we draw a triangle then tan∅ = \frac{height}{base}

               Here base is the horizontal distance.

               Now we put the values in the formula.

               tan 34° = \frac{15}{base}

              Or Base = \frac{15}{tan34}

                             = \frac{15}{0.675} = 22.22 feet

So the answer is 22 feet.

7 0
3 years ago
What is 58.65 with a 15% tip?
11111nata11111 [884]
X/58.65 = 15/100

(58.65*15)/100 = tip
6 0
3 years ago
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