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My name is Ann [436]
3 years ago
9

What is the equation of the line that is parallel to the line y =1/3 x + 4 and passes through the point (6, 5)?

Mathematics
1 answer:
lianna [129]3 years ago
5 0

Answer:

y = \frac{1}{3} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{3} x + 4 ← is in slope- intercept form

with slope m = \frac{1}{3}

Parallel lines have equal slopes , then

y = \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = \frac{1}{3} x + 3 ← equation of parallel line

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Solve & Discuss It!
agasfer [191]

Answer:

<u>There were 6, 9, 12 and 15 children if the number of adults at the beach were 8, 12, 16 and 20.</u>

Step-by-step explanation:

After reviewing the information given for solving the question, we notice that the ratio of adults in relation with the number of children at the beach is 4:3. In that case, for finding the number of children for every specific number of adults, we do the following calculations:

1. For 8 adults: 8/4 = 2 and using the ratio 4:3, we multiply by 2 and we get that the number of children is 6.

2.  For 12 adults: 12/4 = 3 and using the ratio 4:3, we multiply by 3 and we get that the number of children is 9.

3.  For 16 adults: 16/4 = 4 and using the ratio 4:3, we multiply by 4 and we get that the number of children is 12.

4.  For 20 adults: 20/4 = 5 and using the ratio 4:3, we multiply by 5 and we get that the number of children is 15.

<u>There were 6, 9, 12 and 15 children if the number of adults at the beach were 8, 12, 16 and 20.</u>

7 0
3 years ago
Rochelle made three $25 withdrawals and then wrote a check for $100. If she started with $200 in her account, find the total amo
antoniya [11.8K]

$25. 25 x 3 is 75. Plus the 100 is 175. 200 - 175 is $25

4 0
3 years ago
Help plz plz plz someone
Butoxors [25]

Answer:

C

Step-by-step explanation:

  1. C = 2πr
  2. 2π = 2 × 3.14 = 6.28
  3. 6.28 × 8 = 50.24 feet

I hope this helps!

7 0
3 years ago
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Please help ASAP !!!!!
zloy xaker [14]

Answer:

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Step-by-step explanation:

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3 years ago
The supplement of an angle is four times the complement of the angle find the measure of the complement
Morgarella [4.7K]

Answer:

The measure of the complement is 30°

Step-by-step explanation:

we know that

Two angles are supplementary if their sum is equal to 180 degrees

Two angles are complementary if their sum is equal to 90 degrees

Let

x -----> the measure of an angle

we know that

180°-x=4(90°-x)

Solve for x

180°-x=360°-4x

4x-x=360°-180°

3x=180°

x=60°

Find the complement

90°-x=90°-60°=30°

8 0
3 years ago
Read 2 more answers
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