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Simora [160]
2 years ago
9

The endpoints of EF are E(xE , yE) and F(xF , yF). What are the coordinates of the midpoint of EF?

Mathematics
2 answers:
tatyana61 [14]2 years ago
7 0

Answer:

The coordinates of the midpoint of EF is equal to

(\frac{xE+xF}{2},\frac{yE+yF}{2})

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

M=(\frac{x1+x2}{2},\frac{y1+y2}{2})

In this problem we have

(x1,y1)=(xE,yE)

(x2,y2)=(xF,yF)

Substitute the values in the formula

M=(\frac{xE+xF}{2},\frac{yE+yF}{2})


baherus [9]2 years ago
7 0
I guess you are looking for a general way of writing a midpoint in coordinate system.
we have the following:
E(xe, ye) and F(xf,yf)
then mind point is as follows
((xe+xf)/2, (ye+yf)/2)
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A fence is guarding off a vegetable garden in the form of a rectangle. It has one side that is 10m greater than the other side.
DanielleElmas [232]

Answer:

The length of the fence needed to surround this garden is 188 meters.

Step-by-step explanation:

Given : A fence is guarding off a vegetable garden in the form of a rectangle. It has one side that is 10 m greater than the other side.

To find : The length of the fence needed to surround this garden if the area of the vegetable garden is 2184 m² ?

Solution :

Let the one side of rectangle be 'x'.

Then the other side is 'x+10'.

The area of the rectangle is 2184 m²,

i.e. x(x+10)=2184

x^2+10x-2184=0

Solve by middle term split,

x^2+52x-42x-2184=0

x(x+52)-42(x+52)=0

(x+52)(x-42)=0

x=-52,42

Reject negative value,

The side of the rectangle is 42 m.

The other side is 42+10=52 m

The perimeter of the rectangle is P=2(l+b)

P=2(42+52)

P=2(94)

P=188

Therefore, the length of the fence needed to surround this garden is 188 meter.

5 0
1 year ago
Determine the slope of the line 3x − 5y − 6 = 0
ivolga24 [154]

Answer:

slope   3/5

Step-by-step explanation:

3x − 5y − 6 = 0

To find the slope, we want to solve for y

(y = mx+b   slope intercept form of the equation(

Add 5y to each side

3x − 5y+5y − 6 = 0+5y

3x-6 = 5y

Divide by 5

3/5x -6/5 = 5y/5

3/5 x -6/5 = y

The slope is 3/5 and the y intercept is -6/5

3 0
2 years ago
Read 2 more answers
How much Greater is the amount Jason paid than amount he charged
Andreyy89

Hello,

I think the answer is D) 102.92

Hope this helps!!!! :)

8 0
2 years ago
You invested a total of $12,000 at 4.5 percent and 5 percent simple interest. During one year, the two accounts earned $570. How
Luda [366]

Answer: You invested $6000 in both accounts.

Step-by-step explanation:

Let x represent the amount invested in the account earning 4.5% interest.

Let y represent the amount invested in the account earning 5% interest.

You invested a total of $12,000 at 4.5 percent and 5 percent simple interest. This means that

x + y = 12000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 4.5%

I = (x × 4.5 × 1)/100 = 0.045x

Considering the account earning 5%

I = (y × 5 × 1)/100 = 0.05y

During one year, the two accounts earned $570. . This means that

0.045x + 0.05y = 570 - - - - - - - - - - 1

Substituting x = 12000 - y into equation 1, it becomes

0.045(12000 - y) + 0.05y = 570

540 - 0.045y + 0.05y = 570

- 0.045y + 0.05y = 570 - 540

0.005y = 30

y = 30/0.005 = 6000

x = 12000 - y = 12000 - 6000

x = $6000

6 0
2 years ago
Write the multiple regression equation for miles per gallon as the response variable. Use weight and horsepower as predictor var
Naily [24]

Answer:

Step-by-step explanation:

Response Variable: Miles per gallon

Predictor Variables: Weight, Horsepower

The multiple regression equation would be: M = aW + bH + c

where M = miles per gallon

a = slope of the graph of W on M OR rate of change in M due to change in W

W = weight

b = slope of the graph of H on M OR rate of change in M due to change in H

H = horsepower

c = intercept of M on the y-axis OR constant variable

How might the car rental company use this model?

The car rental company might use the regression model to determine the following:

- Effect of weight (of car) on miles run per gallon (of premium motor spirit)

- Effect of horsepower on miles per gallon; etc.

8 0
2 years ago
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