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inna [77]
3 years ago
13

Choose the equation that represents the line that passes through the point (6, −3) and has a slope of one half.

Mathematics
2 answers:
Goshia [24]3 years ago
7 0

Answer:

y+3=\frac{1}{2} \left(x-6)

Step-by-step explanation:

Point slope form:

y-y_1=m\left(x-x_1\right)

<em>Note: </em>

  • <em>m represents the slope</em>
  • <em>(x1,y1) represents the coordinate point</em>

Our answer would be y+3=\frac{1}{2} \left(x-6)

levacccp [35]3 years ago
3 0

Answer:  Our equation will take the form of a linear equation, this is: Y = A*X +B passes through the point (6,-3)

this means that -3 = A*6 + B, and also the slope is 1/2, so A =1/2.

So we only need to know the value of B.

then if :

-3 = 1/2*6 - B = 3 + B

B = - 3 - 3 = -6

So our equation is: Y = 1/2*X - 6

         

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A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s
Setler [38]

Answer:

310\text{ feet and }210\text{ feet}

Step-by-step explanation:

GIVEN: A farmer has 520 \text{ feet} of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is 310 \text{ feet}.

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be x and y

perimeter of rectangular pen =2(x+y)=520\text{ feet}

                                                x+y=260

                                               y=260-x

area of rectangular pen =\text{length}\times\text{width}

                                       =xy

putting value of y

=x(260-x)

=260x-x^2

to maximize \frac{d \text{(area)}}{dx}=0

260-2x=0

x=130\text{ feet}

y=390\text{ feet}

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen =310\text{ feet}

                              width of rectangular pen =210\text{ feet}

Maximum area of rectangular pen =310\times210=65100\text{ feet}^2

Hence maximum area of rectangular pen is 65100\text{ feet}^2 and dimensions are 310\text{ feet and }210\text{ feet}

5 0
3 years ago
Three friends went to the movies. Each movie ticket cost $8.50. Each person ordered a drink for $4.75. Two friends also bought p
vfiekz [6]

Answer:

P = $7.00

Step-by-step explanation:

Movie tickets = $8.50

Drink = $4.75

Two friends also bought popcorn

Total spent by the group = $53.75

Given equation:

3(8.50 + 4.75) + 2p = 53.75

Where,

P = cost of one order of popcorn

3(8.50 + 4.75) + 2p = 53.75

25.50 + 14.25 + 2p = 53.75

39.75 + 2p = 53.75

2p = 53.75 - 39.75

2p = 14

p = 14 / 2

p = 7

p = $7.00

8 0
3 years ago
Simplify these expressions: 12x - 3x​
kkurt [141]

Answer:

12x-3x

= 9x

Step-by-step explanation:

Hope it is helpful....

4 0
3 years ago
At the end of the camping trip there were
Blababa [14]

Answer:

3 1/2

Step-by-step explanation:

Quarter bag plus three quarter bag=1 bag

2 half bags is one bag

2 three quarters full is 1 1/2 bag :)

7 0
2 years ago
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What is 8+5+9+2+4+5+8+41+/8
Pavel [41]
The answer is 46.125 hope this helped :)
7 0
3 years ago
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