During a professional baseball game, every
1 answer:
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Answer:
76.5 cm²
Step-by-step explanation:
Given the triangles are similar , then
ratio of sides = a : b , so
ratio of areas = a² : b²
Here ratio of sides = 9 : 13.5 = 2 : 3
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ DEF and using proportion
=
( cross- multiply )
4x = 306 ( divide both sides by 4 )
x = 76.5
The area of Δ DEF = 76.5 cm²
To solve this system of linear equations we need a little trick called elimination steps are below
we are given the following system of equations
if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so
simplify and we get
now we can combine like terms on each side with the x's cancelling and get
now divide off -35
great now we can go back to our original system and pick a equation and substitute y back in to find x lets use
so now we substitute y and get
now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)
we are given the following system of equations
if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so
simplify and we get
now we can combine like terms on each side with the x's cancelling and get
now divide off -35
great now we can go back to our original system and pick a equation and substitute y back in to find x lets use
so now we substitute y and get
now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)