Answer:
Step-by-step explanation:
The point-slope formula is 
. When knowing the slope of a line and a point it intersects, we can write its equation with that formula. Substitute 
, 
, and 
for real values.
1) First, find , or the slope. Use the slope formula 
and substitute the x and y values of the given points. Then, solve:
Therefore, the slope of the line is -10.
2) Now, substitute the needed real values into the point-slope formula, . Since represents the slope, substitute -10 in its place. Since and represent the x and y values of a point the line crosses, choose any of the points given and substitute its values into the formula. (Either one is fine, they both equal the same thing. I chose (2,3).) This will give the following answer and equation:
Answer:
BC=√7
Step-by-step explanation:
AC=4
AC=AH+HC
=3HC+HC
=4HC
HC=1/4AC=1/4×4=1
AH=3HC=3×1=3
BH⊥ AC
AB=AC=4
The total number of possible combinations from flipping a coin 10 times is 2^10 = 1024.
Answer: The answer is P'(7, 17.5) and Q'(7, 3.5).
Step-by-step explanation: Given that a line segment PQ is dilated with a scale factor of 3.5 where origin is the centre of dilation.
The end points of segment PQ are P(2, 5) and Q(2, 1).
Therefore, after dilation, the coordinates of the end points become
Thus, the coordinates of P' are (7, 17.5) and the co-ordinates of Q' are (7, 3.5).
