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natali 33 [55]
3 years ago
15

Write the equation of the line passing through the points (6,16) and (9,25).

Mathematics
1 answer:
forsale [732]3 years ago
6 0

Answer:

y = 3x - 2

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1), where (x1, y1 ) and (x2, y2) are points on the line.

Plug in the 2 points:

(y2 - y1) / (x2 - x1)

(25 - 16) / (9 - 6)

9 / 3

= 3

So, the slope is 3. Plug this and a point into y = mx + b to find b:

y = mx + b

16 = 3(6) + b

16 = 18 + b

-2 = b

Then, plug in b and the slope into the equation:

y = mx + b

y = 3x - 2 is the equation of the line

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3 years ago
Slove this for me please​
Alborosie

Answer:

-10

Step-by-step explanation:

divide both sides by -4

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3 years ago
A game designer must decide how to color five buildings that are in a row. Using only the colors yellow, green, red, and blue, e
earnstyle [38]

Answer:

The total of ways the buildings can be painted are  = 4 \times 3  \times 2  \times 2  \times 1 = 48 ways.

Step-by-step explanation:

i) color five buildings that are in a row.

ii) any two neighboring buildings must be different colors

iii) the first third and fifth buildings must be different colors.

iv) the number of ways to paint the fist building are 4.

v) the number of ways to paint the second building are 3.

vi) the number of ways to paint the third building are 2.

vii) the number of ways to paint the fourth building are 2.

viii) the number of ways to paint the last building are 1.

ix) therefore the total of ways the buildings can be painted are

   = 4 \times 3  \times 2  \times 2  \times 1 = 48 ways.

4 0
3 years ago
What value is equivalent to 8 − 4 + 9 × 12? A) −148 B) −60 C) 112 D) 168
yawa3891 [41]

Answer:

112

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8 − 4 + 9 × 12

Using PEMDAS, we multiply first

8 − 4 + 108

Add and subtract from left to right

4+108

112

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4 years ago
Read 2 more answers
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9514 1404 393

Answer:

  x = 2 m

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Step-by-step explanation:

The side lengths of ΔDEF are 3/9 = 1/3 of those of ΔABC.

  x = DF = 1/3(AB) = (1/3)(6 m)

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Angle measures of ΔDEF are the same as those of the corresponding angles of ΔABC.

  y = ∠B = ∠E = 30°

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3 years ago
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