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maks197457 [2]
3 years ago
14

A line passes through the point (-3, -3) and has a slope of 1/2. What is the equation of the line? A y= 1/2x + 3/2 B y= 1/2x -3/

2 C y= 1/2x -1/2 D y= -1/2x -3/2
Mathematics
2 answers:
garik1379 [7]3 years ago
8 0

Answer:

(B.) y= 1/2x -3/2

Step-by-step explanation:

(-3, -3) = (x_1,y_1)\\m = 1/2\\\\y-y_1=m(x-x_1)\\\\y -(-3)=\frac{1}{2} (x -(-3)\\\\y+3 = \frac{1}{2}(x+3)\\\\ y+3 = \frac{1}{2} x+\frac{3}{2}\\\\ y = \frac{1}{2} x +\frac{3}{2} -3\\\\y = \frac{1}{2} x - \frac{3}{2}

Gnesinka [82]3 years ago
8 0

Answer:

\Large \boxed{\mathrm{Option \ B}}

Step-by-step explanation:

y = mx + b

(slope intercept form of a line)

m = slope

b = y-intercept

y = 1/2x + b

Only three options have a slope of 1/2.

y= 1/2x + 3/2

y= 1/2x - 3/2

y= 1/2x - 1/2

The line crosses the point (-3, -3), x = -3 and y = -3.

-3= 1/2(-3) + 3/2

-3= -3/2 + 3/2

-3 = 0

This is false.

-3= 1/2(-3) - 3/2

-3 = -3/2 - 3/2

-3 = -6/2

-3 = -3

This is true.

-3= 1/2(-3) - 1/2

-3 = -3/2 - 1/2

-3 = -2

This is false.

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32 cm by 18 cm

16 cm by 36 cm,

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Step-by-step explanation:

<u><em>The complete question is</em></u>

A boy wants to build rectangular cages. He wants all the sides on the base of his cages to beat least 10 cm long.he also wants the base area to equal 576 cm2. The boy needs help to find all the possible lengths and widths for the base of the cages. He used only whole centimeters, with no fractional parts.what are all the possible dimensions for the rectangular base?

we know that

The number 576 decompose in prime factors is the same that write

576=(2^6)(3^2)

To find out possible side lengths, multiply different combinations of these prime numbers together (make sure each pair adds up to 10)

3x3=9cm                  2x2x2x2x2x2= 64cm  ----> is not a combination (one side is not greater than 10)

3x3x2= 18cm            2x2x2x2x2= 32cm

3x3x2x2= 36cm        2x2x2x2= 16cm

3x2x2= 12cm             3x2x2x2x2= 48cm

3x2x2x2= 24cm         3x2x2x2= 24cm

therefore

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16 cm by 36 cm,

48 cm by 12 cm

24 cm by 24 cm

3 0
3 years ago
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