Given parameters:
Midpoint of AB = M(3, -1)
Coordinates of A = (5,1)
Unknown:
Coordinates of B = ?
Solution:
To find the mid point of any line, we use the expression below;
and 
where 
and 
= coordinates of the mid points = 3 and -1
x₁ = 5 and y₁ = 1
x₂ = ? and y₂ = ?
Now let us input the variables and solve,
3 = 
and -1 = 
5 + x₂ = 6 -2 = 1 + y₂
x₂ = 1 y₂ = -2 -1 = -3
The coordinates of B = 1, -3
Answer:
C) 6 feet
Step-by-step explanation:
The diagram is shown in the attachment.
Using the Pythagoras Theorem,
We take positive square root to obtain
x=5.66ft
Rounding to the nearest feet we have x=6ft
3x−x+4=4(2x−1)
Step 1: Simplify both sides of the equation.<span><span><span><span>3x</span>−x</span>+4</span>=<span>4<span>(<span><span>2x</span>−1</span>)</span></span></span><span>Simplify: (Show steps)</span><span><span><span>2x</span>+4</span>=<span><span>8x</span>−4</span></span>Step 2: Subtract 8x from both sides.<span><span><span><span>2x</span>+4</span>−<span>8x</span></span>=<span><span><span>8x</span>−4</span>−<span>8x</span></span></span><span><span><span>−<span>6x</span></span>+4</span>=<span>−4</span></span>Step 3: Subtract 4 from both sides.<span><span><span><span>−<span>6x</span></span>+4</span>−4</span>=<span><span>−4</span>−4</span></span><span><span>−<span>6x</span></span>=<span>−8</span></span>Step 4: Divide both sides by -6.<span><span><span>−<span>6x/</span></span><span>−6</span></span>=<span><span>−8/</span><span>−6</span></span></span><span>x=<span>4/3</span></span>Answer:<span>x=<span>4/<span>3</span></span></span>
Answer:
Step-by-step explanation:
The answer is B.
Use the sum-product pattern
2+3−3−9
Common factor from the two pairs
2+3−3−9x2+3x−3x−9
(+3)−3(+3)
Rewrite in factored form
(+3)−3(+3)
Solution:
(−3)(+3)
‘Hope it Helps!
