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Lostsunrise [7]
3 years ago
8

Match the equations of the lines with their graphs.

Mathematics
1 answer:
nika2105 [10]3 years ago
5 0

Answer:1. y = 2x - 3

2. y= 2x + 3

3. y = -2x + 3

4. y = -2x - 3

Step-by-step explanation:

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Fatima paid for 5 pallets of grass to be delivered.
slava [35]
Fatima paid for 5 pallets of grass to be delivered.
• Each pallet of grass cost $129.95.
• Fatima paid $76.20 for delivery.
What is the total amount Fatima paid?
A $725.95
B $649.75
C $581.95
D $1,030.75
Answer:
A $725.95
Step-by-step explanation:
Given:
Number of Pallets = 5
Cost of each pallet = $129.95
Total amount spend on Pallets = Number of Pallets × Cost of each pallet =
Also given;
Amount spend on Delivery = $76.20
Total Amount Paid by Fatima = Total amount spend on Pallets + Amount spend on Delivery =
Hence Fatima paid a total amount of $725.95.
5 0
3 years ago
Use calculus to find the area of the triangle with the vertices (0, 5), (2, -2), and (5, 1).
guajiro [1.7K]

The area of the triangle with the vertices (0, 5), (2, -2), and (5, 1) by using the calculus is  21 square unit.

We need to find the equation among all possible pairs and then integrate the equations from one co-ordinate to another co-ordinate

Equation of line passing through (0,5) and (2,-2) is

y-5 = [(-2-5)/(2-0)](x-0)

=>y-5 = (-7) /2x

=>y= (-7/2x)+5 -------(eq1)

Equation of line passing through (0,5) and (5,1) is

y-5 = [(1-5) / (5-0)](x-0)

=>y-5 = (-4/5)x

=>y = (-4/5)x+5-------(eq2)

Equation of line passing from (2,-2) and (5,1) is

y-(-2) = [[1 - (-2)] / (5-2)] / (x-2)

=>y+2=(3/3)(x-2)

=>y=x-4--------(eq3)

Now, we use definite integration to find the area between the different equation of line.

So, area enclosed between the equations is given by the

area =\int\limits^5_2[(-4/5)x+5 - (-7/2)x + 5)dx  + \int\limits^5_1[(-4/5)x+5 -(x-4)]dx

=>area=\int\limits^5_2(7/2-4/5)x dx + \int\limits^5_1((-9/5)x+9)dx

Using properties of integration,\int\limits x\, dx=x^{2}/2

=>area=\int\limits^5_2(27/10)x dx + \int\limits^5_1(-9/5)x+9)dx

=>area=([27/10)×[5² - 2²])/2 + [ (-9/5)×(5²-1²) ]/2 +9×(5-1)

=>area=(27/20)×(25-4) + (-9/5)×24+9×4

=>area = (27×21)/20 + (-216)/5+ 36

=>area=(567/20) - (216/5) + 36

=>area= [(567-261×4)+(36×20)]/20

=>area=[(567-864)+720]/20

=>area=423/20

=>area=21 square unit.

Hence, area of triangle is 21 square unit.

To know more about area of triangle, visit here:

brainly.com/question/19305981

#SPJ4

4 0
1 year ago
Solve the systems equations for x and y and check:<br> y=2x+10<br> x=3y
andriy [413]
For Y=2x+10 X=y/2 -5. Second x/3
6 0
2 years ago
IM Not too sure on this. can someone please help me out?
DENIUS [597]
All it is asking is to plug the given x values into the equation (which are 0, 2, 4) and see what you get for y.
4y - 2x =16

4y - 2 (0) = 16
4y = 16
y = 4

4y - 2 (2) = 16
4y - 4 = 16
4y = 20
y = 5

4y - 2 (4) = 16
4y - 8 = 16
4y = 24
y = 6

so D
5 0
3 years ago
Help with this -4+13
finlep [7]

Answer:

it is becuse you do 13-4 which would give you nine.

6 0
3 years ago
Read 2 more answers
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