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3 years ago

What is y=-x-20 and y=x+17 point of intersection

Mathematics

1 answer:

Alenkasestr [34]3 years ago

8 0

Answer:

$Point\ of\ intersection\ is\ (-\frac{37}{2},-\frac{3}{2}).$

Step-by-step explanation:

Point of intersection: The point which satisfies both the equations is the point of intersection

$y=-x-20\\\\y=x+17\\\\add\ these\ two\ equations\\\\y+y=-x-20+x+17\\\\2y=-3\\\\y=-\frac{3}{2}\\\\y=x+17\\\\x=y-17\\\\x=-\frac{3}{2}-17\\\\x=-\frac{37}{2}\\\\Point\ of\ intersection\ is\ (-\frac{37}{2},-\frac{3}{2}).$

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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

Its -20 but how? pls helppp. ill give brainliest

MissTica

w-10=2(w+5)

w-10=2w+10

w-2w=10+10

-w=20

w=-20

4 0

2 years ago

Read 2 more answers

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Semenov [28]

= 9 * 10^5 * 3 * 10^10

= 27 * 10^5 * 10^10

= 27 * 10^15

= 2.7 * 10^16 - The best selection appears to be the first option.

Good luck :)

4 0

3 years ago

Can someone help me ?

aliina [53]

Hola User_______________

Here IS YOUR Answer...!!!

_______________________

A.) 5.) 2/3 × 2/3 × 2/3 = (2/3)^3

6.) 4 × 4 × 4 = (4)^3

B.) 8.) (0.25) × (0.25) × (0.25)

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11.)3^3 = 9 and 4^3 = 64

12.)(4)^6 miles = 4096 miles

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3 years ago

Read 2 more answers

Andrei has a job in the circus walking on stilts. Andrei is 11/10 meters tall. The foot supports of his stilts are 23/10 meters

vovangra [49]

First, add. 11/10 + 23/10 = 34/10
You can then simplify by finding the greatest common factor (2)
34/2, 10/2 = 17/5, or 3 and 2/5
Andrei is 3 and 2/5 meters tall

3 0

3 years ago