Y=2x-4 and x+2y=10 substitute y in the second equation. what is the resulting equation
2 answers:
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x = 37.5 (or)
Solution:
Given
AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x
To find the value of x:
Property of similar triangles:
If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.
Do cross multiplication, we get
Subtract 30x from both sides of the equation.
Divide by 20 on both sides of the equation, we get
x = 37.5 (or)
Hence the value of x is 37.5 or .
(a) Linear Equation:
(b) x-intercept : (10,0)
(c) y-intercept : (0,200)
(d) Domain : {0,1,2,3,4,5,6,7,8,9,10}
Range : {0,1,2,...,200}
Step-by-step explanation:
Step 1: As we can see in graph, money in Carla is decreasing in multiples of 20 can be referred as 20x.
Every week $20 is getting deducted from the total amount of $200.
Step 2: (a) So we can quote it in equation as,
where x represents number of weeks
Step 3: (b) x-intercept is where value of y becomes 0.
So, referring graph we can determine x intercept as x = 10. Point (10,0). which also means no money left in account.
Step 4: (c) y-intercept is where value of x becomes 0.
So, referring graph we can determine y intercept as y = 200. Point (0,200). which is starting value of money in account.
Step 5: (d) Domain : {0,1,2,3,4,5,6,7,8,9,10}
Range : {0,1,2,...,200}
