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Umnica [9.8K]
3 years ago
6

What is the slope of the line through (1, 9) and (–3, 16)?

Mathematics
1 answer:
Lerok [7]3 years ago
3 0

Answer:

Step-by-step explanation:

slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

=  \frac{16-9}{-3-1}

= \frac{7}{-4}

Therefore slope = -7/4

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Does this graph show a function? Explain how you know.
marin [14]
Answer is (a.)
No it is not a function fails the vertical line test .
6 0
2 years ago
Read 2 more answers
Please Help me>^<
schepotkina [342]

each term is negative and 1/4 of previous term so the nth term is the n-1 term times -1/4 so f(n)= -1/4 f(n-1)


4 0
2 years ago
Directions: Number the distances from the shortest to the longest: 1 being the shortest distance and 5 being the longest. Justif
sleet_krkn [62]

Answer: Number the distances from the shortest to the longest:

1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km


Solution:

To compare, all the distances must be in the same unit, for example feet.


a. Dallas, Texas, to Houston, Texas, is 385 km

We must transform from km to feet:

385 km * (1,000 m / 1 km) * (100 cm / 1 m) * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(385*1,000*100*1*1)/(1*1*2.54*12) feet =

38,500,000/30.48 feet =

1,263,123.359 feet =

1,263,123 feet


b. Hoboken, New Jersey, to New York City is 659,831 cm

We must transform cm to feet:

659,831 cm * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(659,831*1*1)/(2.54*12) feet =

659,831/30.48 feet =

21,647.99868 feet =

21,648 feet


c. Orlando, Florida, to Tampa, Florida, is 446,160 feet


d. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

We must transform from inches to feet:

2,521,728 inches * ( 1 feet / 12 inches) =

(2,521,728*1) / 12 feet =

2,521,728/12 feet =

210,144 feet


e. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

We must transform from yards to feet:

161,920 yards * (3 feet / 1 yard) =

(161,920*3)/1 feet =

485,763 feet


Ordering the values in feet from the shortest to the longest:

21,648 feet < 210,144 feet < 446,160 feet < 485,763 feet < 1,263,123 feet


With the original units:

659,831 cm < 2,521,728 inches < 446,160 feet < 161,920 yards < 385 km


Then the order is:


1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km

6 0
3 years ago
The heart beats 103680 per year, how many heart beats per minute?
kompoz [17]

Answer:

Step-by-step explanation:

60 sec= 1 min

60min=1hour

24hours=1day

7days=1week

52 weeks =1 year

24x7= 168hours in a week

168hours x 52 =8736 hours in a year

8736x60=524160mins

524160mins=  1 year

the heart beats 103680 in a year

the heart will beat 524160/103680=5.05555555556 in a minute

6 0
3 years ago
Use multiplication to find three ratios equivalent to 8:12
tatyana61 [14]
Ok so 8:12 can be 8 to 12, or 8\12

do that help?
4 0
2 years ago
Read 2 more answers
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