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AlekseyPX
3 years ago
14

Complete the point-slope equation of the line through (3,6)(3,6) (3,6) left parenthesis, 3, comma, 6, right parenthesis and (5,−

8)(5,-8) (5,−8) left parenthesis, 5, comma, minus, 8, right parenthesis .
Mathematics
1 answer:
Elanso [62]3 years ago
3 0

Answer:

y = -7x + 27 is the point slope equation that passes through the two points

Step-by-step explanation:

Here, we want to write the equation of the line between (3,6) and (5,-8)

Mathematically, the equation of the line that passes through both points can be represented by ;

y = mx + c

where m is the slope and c is the y-intercept

Let’s find the slope m first;

Mathematically;

slope m = y2-y1/x2-x1

where (x1,y1) = (3,6) and (x2,y2) = (5,-8)

Substitute these values in the slope equation , we have the following;

m = (-8-6)/(5-3) = -14/2 = -7

So the equation becomes;

y = -7x + c

we still need the value of c

To get this, we can substitute any of the points in the equation, where x is the x coordinate of the point and y is the coordinate of the point.

Let’s use (3,6)

Thus we have;

6 = -7(3) + c

c = 6 + 21

c = 27

So the equation becomes;

y = -7x + 27

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Justin is saving money to buy a stereo. He has $25 saved in the bank right now. He earns $40 each week delivering newspapers.
mafiozo [28]

Answer:

y = 25 + 40x

Step-by-step explanation:

Let

y = the total amount of money Justin has

x = number of weeks

Amount Justin has in the bank = $25

Amount Justin earns per week = $40

Equation for how much money Justin has (including the amount he has in the bank) in x weeks

the total amount of money Justin has = Amount Justin has in the bank + (Amount Justin earns per week * number of weeks)

y = 25 + (40 * x)

y = 25 + 40x

The equation is

y = 25 + 40x

7 0
2 years ago
In a kitchen there are three containers that can hold different quantities of water, as shown in the figure below:
elena55 [62]

Answer:

3x-15

Step-by-step explanation:

(x-10)+(x-5)+(x)=3x-15

3 0
2 years ago
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a meat pie contains chicken and turkey in the ratio 4:1. The pie contains 200g of Chicken. How much turkey is in the pie?​
kogti [31]

Answer:

50 grams

Step-by-step explanation:

From the above question:

Chicken : Turkey

= 4:1

Sum Proportions = 4 + 1 = 5

We have to find the weight in grams of the entire pie

Let us represent the weight in grams of the entire pie = x.

The pie contains 200g of Chicken.

Hence:

4/5 × x = 200g

4x/5 = 200g

Cross Multiply

4x = 200g × 5

x = 200g × 5/4

x = 250g

The amount turkey that is in the pie is calculated as:

Total weight of pie - Amount of Chicken in the pie

= 250g - 200g

= 50 g

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2 years ago
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NemiM [27]

Answer:

4

Step-by-step explanation:

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The following equation:
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Answer:

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