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Sergeeva-Olga [200]
3 years ago
10

Write an equation in slope intercept form given the following slope and point M=-3 (6,-9)​

Mathematics
1 answer:
Kitty [74]3 years ago
5 0

Answer:

y = -3x + -9/6

-9/6 simplified as -3/2

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Which lines are perpendicular?
makkiz [27]

Given:

Line A: y=\frac{1}{2} x+2

Line B: y=\frac{-1}{2} x+7

Line C: y=2 x+4

Line D: y=\frac{1}{2} x+\frac{5}{4}

To find:

Which lines are perpendicular

Solution:

General equation of a line:

y = mx + c

where m is the slope and c is the y-intercept.

Slope of line A = \frac{1}{2}

Slope of line B = \frac{-1}{2}

Slope of line C = 2

Slope of line D = \frac{1}{2}

<em>Two lines are perpendicular if their slopes are negative reciprocal of one another.</em>

$\Rightarrow m_1=\frac{-1}{m_2}

$\frac{-1}{2}=-(-2)=2

Negative reciprocal of \frac{-1}{2} is 2.

Therefore line B and line C are perpendicular lines.

6 0
4 years ago
It is 3/5 mile from Elaine's home to her school. It is 1/10 mile from her home to the library. How much farther is Elaine's home
Kipish [7]
3/5 is equivalent to 6/10

the school is 6/10 miles away
the library is 1/10 miles away

6/10-1/10=5/10

From her home to her school is 5/10 or 1/2 a mile farther than from her home to the library
6 0
3 years ago
18. El equipo de docentes del Área de Formación Humanística decide repartir 195 ejemplares de libros de lectura a 4 estudiantes
irina [24]

Answer:

Each of the students absent for 1, 2, 4 and 5 days get 57, 53, 45 and 40 copies of the the reading books respectively.

Step-by-step explanation:

English Translation

The team of teachers from the Humanistic Training Area decides to distribute 195 copies of reading books to 4 students previously classified on their own merits. But the distribution will be made taking into account absences from classes during the first cycle. How many books does each student receive if their absences have been 1; two; 4 and 5 days, respectively?

Solution

Because the more the number of days absent, the less the number of books each of the 4 students deserve, we have to employ an elaborate scheme.

If 195 copies are distributed equally between 4 People, each person gets 48.75 copies of the books.

Now, if we add another 48.75 copies of books to the total number of books, each person gets 60.9375 books.

But, we can then divide 48.75 extra books on top according to the number of days absent and subtract each person's number from the assumed 60.9375 books, with an extra 48.75 books.

Total number of days absent = 1 + 2 + 4 +5 = 12

(48.75/12) = -4.0625 copies for each absent day.

The student with only 1 absent day gets 60.9375 - 4.0625 = 56.875 copies = 57 copies

The student with 2 absent days, gets = 60.9375 - (2×4.0625) = 52.8125 copies = 53 copies

The student with 4 absent days, gets = 60.9375 - (4×4.0625) = 44.6875 copies = 45 copies

The student with 5 absent days, gets = 60.9375 - (5×4.0625) = 40.425 copies = 40 copies

Hence, each of the students absent for 1, 2, 4 and 5 days get 57, 53, 45 and 40 copies of the the reading books respectively.

Hope this Helps!!!

6 0
3 years ago
HELPPPPP RNNN PLEASEEEE
Veseljchak [2.6K]
I will help if you mark me brainlyest
6 0
3 years ago
Find the area of the shaded region
Maksim231197 [3]

Answer: 40

Step-by-step explanation:

7 0
3 years ago
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