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kupik [55]
3 years ago
14

What is an equation of the line that passes through the points (4,1) and (8,-3)?

Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0

Answer:

y=-x+5

Step-by-step explanation:

(4,1)

(8,-3)

1)a slope of a line is (y2-y1)/(x2-x1)

  so (-3-1)/(8-4)

  -4/4=>m=-1

2)to find y-int replace any points in the equation by x and y

so    1=-1(4)+b

        1=-4+b

        1+4=b

so b= 5

therefore the equation is  y=-x+5   so d

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Use the grouping method to factor the polynomial below x^3 -4x^2+3x-12
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x^2(x-4) + 3(x-4)

(x^2 + 3)(x-4)

Step-by-step explanation:

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Heather has a bag with 9 marbles, 9 tennis balls, 10 apples, and 2 books. What is the ratio of books to tennis balls?
sveticcg [70]

Answer:

Option A, (2/9) or 2:9

Step-by-step explanation:

<u>Amount of books:</u>  2 books

<u>Amount of tennis balls:</u>  9 tennis balls

Books : Tennis Balls

<em>2 : 9</em>

<em />

Answer:  Option A, (2/9) or 2:9

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3 years ago
Find the geometric mean between 8 and 18. Write answer as a simplified radical. No Decimals!!!!
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Step-by-step explanation:

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b and e


Step-by-step explanation:


6 0
3 years ago
34
Vadim26 [7]

Answer:

They are similar by the definition of similarity in terms of a dilation

Step-by-step explanation:

The given vertices of triangle ΔABC are;

A(1, 5), B(3, 9), and C(5, 3)

The vertices of triangle ΔDEF are;

D(-3, 3), E(-2, 5), and F(-1, 2)

Therefore, we get;

The length of segment, \overline{AB} = √((9 - 5)² + (3 - 1)²) = 2·√5

The length of segment, \overline{BC} = √((9 - 3)² + (3 - 5)²) = 2·√10

The length of segment, \overline{AC} = √((5 - 3)² + (1 - 5)²) = 2·√5

The length of segment, \overline{DE} = √((5 - 3)² + (-2 - (-3))²) = √5

The length of segment, \overline{EF} = √((2 - 5)² + (-1 - (-2))²) = √10

The length of segment, \overline{DF} = √((2 - 3)² + (-1 - (-3))²) = √5

∴ \overline{AB}/\overline{DE} = 2·√5/(√5) = 2

\overline{BC}/\overline{EF} = 2·√10/(√10) = 2

\overline{AC}/\overline{DF} = 2·√5/(√5) = 2

The ratio of their corresponding sides are equal and therefore;

ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.

4 0
3 years ago
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