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4 years ago

DISTANCE FORMULA PRACTICE 1-3

Mathematics

1 answer:

Svetllana [295]4 years ago

8 0

Answer:

1. 12 units

2. 8.9 units

3. 10

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steps

1.√ ( − 3 − 9 ) ^2 + ( 5 − 5 ) ^2

√ ( − 12 ) ^2 + 0

√ 144

√ 144 ≈ 12

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2. √ ( 7 − (− 1) ) ^2 + ( 10 − 6 ) ^2

√ ( 7 + 1 )^ 2 + ( 10 − 6 ) ^2

√ ( 8 )^ 2 + ( 4 ) ^2

√ 64 + 16

√ 80 ≈ 8.94427190999916

round up to 8.9

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3. √ ( 6 − 0 ) ^2 + ( 0 − 8 ) ^2

√ ( 6 ) ^2 + ( − 8 ) ^2

√ 36 + 64

√ 100 ≈ 10

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A toll collector on a highway receives $8 for trucks and $7 for cars. At the end of a 33-hour period, she collected $296. H

frosja888 [35]

Answer:

The required list is: 0 car and 37 truck; 8 car and 30 truck; 16 car and 23 truck; 24 car and 16 truck; 32 car and 9 truck;

Step-by-step explanation:

Consider the provided information.

A toll collector on a highway receives $8 for trucks and $7 for cars, at the end she collected $296.

Let t represents the number of trucks and c represents the number of cars pass through highway.

$8t+7c=296$

$8t=296-7c$

$t=37-\frac{7c}{8}$

The number of trucks should be natural number.

Substitute c=0 in $t=37-\frac{7c}{8}$

$t=37-\frac{7(0)}{8}$

$t=37$

Substitute c=8 in $t=37-\frac{7c}{8}$

$t=37-\frac{7(8)}{8}$

$t=37-7$

$t=30$

Substitute c=16 in $t=37-\frac{7c}{8}$

$t=37-\frac{7(16)}{8}$

$t=37-14$

$t=23$

Substitute c=24 in $t=37-\frac{7c}{8}$

$t=37-\frac{7(24)}{8}$

$t=37-21$

$t=16$

Substitute c=32 in $t=37-\frac{7c}{8}$

$t=37-\frac{7(32)}{8}$

$t=37-28$

$t=9$

Hence, the required list is: 0 car and 37 truck; 8 car and 30 truck; 16 car and 23 truck; 24 car and 16 truck; 32 car and 9 truck;

8 0

3 years ago

Consider the sequence of numbers 3/8,3/4, 1 1/8,1 7/8 Which statement is a description of the sequence?

adoni [48]

The complete question in the attached figure

Let
for n=1
f(1)=3/8

for n=2
f(2)=3/4

for n=3
f(3)=1 1/8

for n=4
f(4)=1 1/2

for n=5
f(5)=1 7/8

we know that
f(2)-f(1)=3/4-3/8=3/8------> f(2)=f(1)+3/8

f(3)-f(2)=1 1/8-3/4----> 9/8-6/8----> 3/8-----> f(3)=f(2)+3/8

f(4)-f(3)=1 1/2-1 1/8-----> 12/8-9/8----> 3/8-----> f(4)=f(3)+3/8

f(5)-f(4)=1 7/8-1 1/2-----> 15/8-12/8---> 3/8-----> f(5)=f(4)+3/8

therefore

the answer is the option
The sequence is recursive and can be represented by the function f(n + 1) = f(n) + 3/8