Let
x------> Cathy's<span> ages
</span>y------> Tony's ages
we know that
x+y=65-----> x=65-y-----> equation 1
y-8=(2/5)*(x-8)-----> equation 2
substitute equation 1 in equation 2
y-8=(2/5)*(65-y-8)---> y-8=22.8-0.4y----> y+0.4y=22.8+8
1.4y=30.8-----> y=22
x=65-y-----> x=65-22----> x=43
the answer is
Cathy's ages is 43 years
Tony's ages is 22 years
Answer:
(1, -3)
First option
Step-by-step explanation:
The minimum point on the graph is also the <u>vertex</u>.
The quadratic function equation is given in <u>vertex form</u>, which is 
Using this equation, the vertex is (-h, k).
Whatever number you see for "h", find its opposite negative/positive. That will be the x-coordinate of the vertex. The y-coordinate for the vertex is the same as "k", keeping the negative and positive.
In f(x) = (x - 1)² - 3 using (-h, k) is:
h = -1 => -h = 1
k = -3
Therefore the vertex is (1, -3).
Answer:
The correct option is Segment Addition Postulate
Step-by-step explanation:
The segment addition postulate states that where there are two points on a line A and C and a third point B can only be located on the line segment AB if and only if the the distances between point A and point B as well as the distance between point B and point C satisfy the equation AB + BC = AC
Therefore, given that in the figure, the point B is in between point A and point C on segment AC then AB + BC
Similarly, AD = AE + ED.
The length will equal the height since its the same 360
