I)
The Midpoint M of the line segment AB is found using the Midpoint formula:
ii)
the slope of the line through A and B is found by the slope formula:
iii)
the product of the slopes of 2 perpendicular lines is -1, so the slope of the line perpendicular to the line through A and B is -1/(-1)=1
iv)
the equation of the line with slope 1, which contains point M(3, 9) is found by the slope point form equation of a line:
y-9=1(x-3)
y-9=x-3
y=x+6
Answer: y=x+6
Answer:
(x,y)=(-13,-12)
Step-by-step explanation:
5x - 7y = 19
7x - 7y = -7 Multiply both sides of the equation by -1
Which then gives you :
5x-7y=19 Sum the equations vertically to eliminate
-7x+7y=7 at least on variable
-2x=26 Divide both sides of the equation by -2
X=-13 Substitute the given value of x into the equation 7x - 7y =-7
7 x(-13)-7y=-7 solve the equation for y
y=-12
Thus gives you (-13,-12)
Hope this was useful!!! Sorry if it's wrong.
The number of pieces of 1/3 foot tall to make a 6 feet skyscraper is 18 pieces.
The model of a skyscraper comes in pieces and each piece is 1/3 feet tall.
After all the pieces are put together the skyscraper is 6 feet tall.
We have to calculate how many pieces were put together to make the 6 feet skyscraper.
Let X be the number of pieces put together to make a 6 feet skyscraper.
Now,
Each piece = 1/3 feet tall.
Since all the pieces together make 6 feet tall, we can write the number of pieces needed to make 6 feet tall as:
X x (1/3) = 6
X = 6 x 3 = 18
Thus, we need 18 pieces of 1/3 foot tall to make a 6 feet skyscraper.
Learn more about multiplication word problems here:
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The other leg will be LN² = 33² - 11². Then the correct option is A.
<h3>What is a Pythagoras theorem?</h3>
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The hypotenuse is 33 units and one leg is 11 units.
Then the other leg will be
33² = LN² + 11²
LN² = 33² - 11²
Then the correct option is A.
More about the Pythagoras theorem link is given below.
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First you find a common denominator, which is 12 ( as 4,3 and 6 all go into 12). So 2/4 becomes 6/12, as 4 multiplied by 3 is 12 and whatever you do to the denominator you must do to the numerator. Then 2/3 becomes 8/12. And 2/6 becomes 4/12. If you put these in order the answer is:
2/6, 2/4, 2/3
