The coordinates of B are (4 , -3) .
A cartesian coordinate system, which uses signed distances between two fixed perpendicular oriented lines and the point measured in the same unit of length, uniquely identifies any point in a plane by a pair of numerical coordinates.
- The origin of each reference coordinate line, known as an axis of the system or simply an axis (plural axes), is the intersection of the ordered pairs (0, 0).
- The coordinates can also be determined by looking at the locations of the perpendicular projections of the point onto the two axes, which are shown as signed distances from the origin.
Let the coordinates of B be (x, y)
As M is the mid point of AB , we know from the distance formula that the coordinates of M will be:
abscissae of M = (-2 + x) /2
or, 1 = (-2 + x) /2
or, x = 4
Ordinate of M = (5 + y)/2
or , 1 = (5 + y)/2
or, y = -3
Therefore the coordinates of B are (4 , -3)
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A
a) y+6x=5 if x= -1 then y+6(-1)=5 then y = 11
b) same thing if x = 3 then y+6(3)=5 y+18=5 subtract both sides by -18 and leave y on left then add 5+(-18)= 13 then y=13
B same as above
question (a) asks you to solve for y because x is -2
(b) asks you to solve for x because y is known
3x+2y=-6 if y = 3 you write 3x+2(3)=-6 3x+6=-6 move the +6 over to right side by subtracting 6 from both side 3x=-6 + -6 so 3x=-12 to get rid of the 3 and only leave the x you want to divide both side by 3 then x= -12/3 then the answer would be x=-4
Answer:
Equation: 6f = 5
Result: 6/5 cup of flour is needed for each batch of bread
Step-by-step explanation:
Given
6 cups of flour makes 5 batches of bread
Required
His much flour is needed for each batch.
Let f represent a cup of flour.
The statement "total of 6 cups of flour to make 5 batches of bread." means that
f + f + f + f + f + f = 5 batches of bread
f * 6 = 5
6f = 5
The above equation will give the number of cup needed for 1 batch of bread.
To do that, we simply divide both sides by 5
6f/5 = 5/5
6f/5 = 1
Hence,
The equation is represented by: 6f = 5
And the result is: 6/5 cup of flour is needed for each batch of bread
First one (ignore22222323333333)
Answer:
the answer would be .5 miles
Step-by-step explanation:
