Answer:
Therefore, the point P (-3.5, 1.25) is the point 3/4 distance of A to B from A.
Step-by-step explanation:
The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. ... In an ordered pair, such as (x, y), the first value is called the x-coordinate and the second value is the y-coordinate.
Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x
Answer:
322
Step-by-step explanation:
We have,
a^3+b^3=(a+b)^3-3ab(a+b)
p+1/p=7
Now,
p^3+1/p^3=(p+1/p)^3-3*p*1/p(p+1/p)
=7^3-3(7)=343-21=322
Step-by-step explanation:
Given,
AC=AD and ang CBA = ang BAD
To prove : Triangle ABC is congruent to Triangle ABD
Proof
Statements Reasons
1. In triangle ABC and 1.
Triangle ABD
i) AC = AD (S) i) Given
ii)ang CAB=ang BAD (A) ii) Given
iii) AB = AB (S) iii)common sides
2. Triangle ABC is
Congurent to triangle
ABD
2. From SAS fact
Answer:
Hope this helps :)
Step-by-step explanation:
