Answer:
Midpoint (-2,4)
distance nearest tenth = 8.9
The approximate distance = 9
Step-by-step explanation:
Formulas
PQ midpoint = (x2 + x1)/2, (y2 + y1)/2
distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = -4
x1 = 0
y2 = 1
y1 = 7
Solution
M(PQ) = (-4+0)/2, (1 + 7)/2
M(PQ) = -2, 4
The midpoint is -2,4
The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )
The distance = sqrt(16 + 64)
The distance = sqrt(80)
The distance = 4√5 exactly
The distance = 8.94
The distance = 8.9 To the nearest tenth
Question 2
The distance is rounded to the nearest whole number which is 9.
Step-by-step explanation:
height = √6.5² - 2.5² = 6ft
Answer:
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Step-by-step explanation:


Solve the equation for y by moving 'x' to R.H.S and changing its sign


Substitute the given value of y into the equation 5x + y = 28

Solve the equation for x
Collect like terms

Move constant to R.H.S and change its sign

Subtract the numbers

Divide both sides of the equation by 4

Calculate

Reduce the numbers with 2

Now, substitute the given value of x into the equation y = 2 - x

Solve the equation for y

The possible solution of the system is the ordered pair ( x , y )
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Let's check if the given ordered pair is the solution of the system of equation:
plug the value of x and y in both equation


Simplify the equalities


Since , all of the equalities are true, the ordered pair is the solution of the system.

Hope this helps....
Best regards!!
Formula:
1 yard = 3 feet
x yards = 48 feet
Equation:
48 / 3 = x