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likoan [24]
3 years ago
11

Write a equation of a line that is perpendicular to y = -2/7x+9and pass through point (4,-6)

Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0

Answer:

y = 7/2x - 20.

Step-by-step explanation:

The slope of the given line is -2/7,  therefore the slope of the line perpendicular to it is  - 1/ -2/7 = 7/2.

When x = -4, y = -6  so we substitute x1 = 4, y1 = -6 and m ( the slope) = 7/2 in the point slope form of a line:

y - y1 = m(x - x1)

y - (-6) = 7/2(x - 4)

y + 6 = 7/2x - 14

y = 7/2x - 20.

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At a dance camp, students must specialize in one style of dance. Of the 62 dancers at the
kicyunya [14]

Answer:

10/31

or

0.32

or

32%

Step-by-step explanation:

Students must specialize in one style of dance.

Last summer there was 62 dancers.

20 of the 62 specialized in modern dance.

Therefore the probability of a random chosen dancer to be a modern specification is 20/62.

The answer is:

Fraction:

10

---

31

Whole number:

0.32

Percent:

32%

7 0
3 years ago
Rewrite the expression with rational exponents as a radical expression by extending the properties of Internet exponents
Mekhanik [1.2K]

Answer:

option a

Step-by-step explanation:

y^7/8 / y^1/4

First we will accommodate the fractions

1/4 = 2/8

y^7/8 / y^2/8

Then we will subtract the exponents of the powers since they have the same base and are dividing

7/8 - 2/8 = 5/8

y^5/8

Finally we pass the 8 as radical root

8√y^5

4 0
3 years ago
Collins was 7 years 3 months old when he joined school. Today he is 13 years and 2 months. For how long has he been in school?
ivann1987 [24]

Answer:

He is about 6 years old (5 years 11 months)

Step-by-step explanation:

13 - 7 and 3 - 2

4 0
3 years ago
the senior class has 225 members. there are 55 more boys in the class than girls. how many boys and girls are there
Natasha_Volkova [10]

Answer:

85 girls and 140 boys

Step-by-step explanation:

6 0
3 years ago
There are 188 people on the trip and their total cost for the bike tour was $5040. There were twelve more adults than seniors on
zavuch27 [327]

Answer:

The answer to your question is there were 88 children

Step-by-step explanation:

Data

Total number of people = 188

total cost = $5040

12 more adults than seniors

number of children = ?

adults = a

children = c

Process

1.- Write equations that help to solve this problem

             a + c = 188              Equation l

             a = c + 12                 Equation ll

2.- Solve by substitution. Substitute equation equation ll in equation l

           (c + 12) + c = 188

-Solve for c

            c + 12 + c = 188

            2c + 12 = 188

            2c = 188 - 12

            2c = 176

              c = 176 / 2

              c = 88

3.- Conclusion

There were 88 children

       

5 0
3 years ago
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