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sergiy2304 [10]
3 years ago
10

Find the equation of the line that passes through (9,-4) and (-1,-8).

Mathematics
1 answer:
Xelga [282]3 years ago
7 0

Answer:

y =  \frac{2}{5} x - 7 \frac{3}{5}

Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

y= mx +c, where m is the gradient and c is the y-intercept.

\boxed{gradient =  \frac{y1 - y2}{x1 - x2} }

Gradient

=  \frac{ - 4 - ( - 8)}{9 - ( - 1)}

=  \frac{ - 4 + 8}{9 + 1}

=  \frac{4}{10}

=  \frac{2}{5}

Substitute the value of the gradient into the equation:

y =  \frac{2}{5} x + c

To find the value of the y-intercept, substitute a pair of coordinates.

When x= -1, y= -8,

- 8 =  \frac{2}{5} ( - 1) + c

- 8 =  -  \frac{2}{5}  + c

c =  - 8 +  \frac{2}{5}

c =  - 7 \frac{3}{5}

Thus the equation of the line is y =   \frac{2}{5} x - 7 \frac{3}{5}.

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boyakko [2]

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54) \angle YDA and \angle YDF are supplementary, so m\angle YDA=180^{\circ}-121^{\circ}=59^{\circ}

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56) This is a geometric sequence where the next term is obtained by multiplying the previous term by -2, so the next two numbers are 16, -32

8 0
2 years ago
The width of a kitchen is 4.2 metres.
Svetradugi [14.3K]

Given:

The width of a kitchen is 4.2 metres.

Kitchen cupboard widths are 60 cm.

To find:

The number of kitchen cupboard that will fit in 4.2 metres.

Solution:

Let x be the number of kitchen cupboard that will fit in 4.2 metres.

Width of 1 cupboard = 60 cm

Width of x cupboards = 60x cm

We know that, 1 m = 100 cm.

Width of a kitchen = 4.2 metres

                              = 4.2×100 cm

                              = 420 cm

Now, the width of the x cupboards is equal to width of the kitchen.

60x=420

x=\dfrac{420}{60}

x=7

Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.

5 0
3 years ago
Miguel e nádia trabalham num escritório de contabilidade. A cada 45 minutos miguel vai á sala de café para relaxar um pouco, enq
Kazeer [188]

Responder:

3 horas

Explicação passo a passo:

Dado :

Miguel a cada 45 minutos

Nádia a cada 60 minutos

Número de horas que eles vão se ver no mesmo lugar:

Para fazer isso ;

Obtenha o menor múltiplo comum de 60 e 45

Múltiplos de:

45: 45, 90, 135, 180, 225.

60: 60, 120, 180, 240, 300.

O menor múltiplo comum de 45 e 60 é 180

° Assim, eles se verão no mesmo lugar após 180 minutos;

Número de horas = 180/60 = 3 horas

6 0
2 years ago
Is i5.71 a whole number
S_A_V [24]
No. 5 or 6 would be, though.
8 0
3 years ago
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In the following image, AB is parallel to DC, and BC is a transversal intersecting both parallel lines.
professor190 [17]
Yea sir thanks buddy thanks again
6 0
3 years ago
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