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babunello [35]
3 years ago
14

Write an equation that passes through a minimum point of (-3,-2) and a y-intercept at (0,25)

Mathematics
1 answer:
liubo4ka [24]3 years ago
6 0

Answer:  y= 9x+ 25

Step-by-step explanation:

to calculate the slope, rise/run   rise is difference in y-values 25 -(-2) =27

run is difference in x-values  0-(-3) = 3 .  27/3 = 9

b= y-intercept   Given: 25

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b

Step-by-step explanation:

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PLS HELP FOR 44 POINTS
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3 years ago
What is the equation of the line that is perpendicular to y, =, 1 over 3 x, 4. And contains the point negative 2, negative 5,?.
Anit [1.1K]

The equation of the line is, \rm y = 3x + 1.

Given that,

The equation of the line is,

\rm y = \dfrac{1}{3} x+4\\

And contains the point (-2, -5).

We have to determine,

What is the equation of the line that is perpendicular to the given line?

According to the question,

The equation of the line is,

\rm = \dfrac{1}{3}x + 4\\

On comparing with the standard equation of the line y = mx +c.

The slope of the line m_1 is 1/3.

When two lines are perpendicular the relation between these slopes is,

\rm m_1\times m_1 = {-1}\\\\\dfrac{-1}{3} \times m_2 = -1\\\\-1 \times m_2 = -1 \times 3\\\\-m_2 = -3\\\\m_2 = 3

And line contains the point (-2, -5).

Then,

\rm y = mx +c \\\\-5 = 3 (-2) + c\\\\-5 = -6+c \\\\c = 6-5 \\\\c = 1

Therefore,

The equation of the line that is perpendicular to the given line and contains the point (-2, -5) is,

\rm y = mx +c \\\\y = 3x +1

Hence, The required equation of the line is, \rm y = 3x + 1.

For more details refer to the link given below.

brainly.com/question/14388443

7 0
2 years ago
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
zalisa [80]

Answer:

5 pigs

Step-by-step explanation:

A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?

Let us represent:

Number of pigs = x

Number of ducks = y

Our system of equations is given as:

A farmhouse shelters 16 animals, some are pigs, and some are ducks.

x + y = 16...... Equation 1

x = 16 - y

Altogether there are 42 legs.

Ducks have 2 legs(feet) , pigs have 4 legs,

4x + 2y = 42..... Equation 2

We substitute

16 - y for x in Equation 2

Hence:

4(16 - y) + 2y = 42

64 - 4y + 2y = 42

Collect like terms

- 4y + 2y = 42 - 64

-2y =- 22

y = -22/-2

y = 11 ducks

Solving for x.

x = 16 - y

x = 16 - 11

x = 5 pigs

Therefore, we have 5 pigs

7 0
2 years ago
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