Yes they are the both equal 5.25 when divided
Let,
- Mass of the steel be 108x
- Mass of the copper be 7x
- Then, Total mass = 108x + 7x = 115x
Given,
- Total mass of the coin = 230 mg
That means,
⇛ Total mass of the coin = 230 mg
⇛ 115x = 230 mg
⇛ x = 230 mg/115
⇛ x = 2 mg
Then,
- Mass of the steel = 108(2) = 216 mg
- Mass of the copper = 7(2) = 14 mg
☁️ ANSWER - 14 mg (Mass of copper)
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5(x+3)=7x-3 which is the equation, then we solve for it, and the answer is 9
Ok so this is conic sectuion
first group x's with x's and y's with y's
then complete the squra with x's and y's
2x^2-8x+2y^2+10y+2=0
2(x^2-4x)+2(y^2+5y)+2=0
take 1/2 of linear coeficient and square
-4/2=-2, (-2)^2=4
5/2=2.5, 2.5^2=6.25
add that and negative inside
2(x^2-4x+4-4)+2(y^2+5y+6.25-6.25)+2=0
factor perfect squares
2((x-2)^2-4)+2((y+2.5)^2-6.25)+2=0
distribute
2(x-2)^2-8+2(y+2.5)^2-12.5+2=0
2(x-2)^2+2(y+2.5)^2-18.5=0
add 18.5 both sides
2(x-2)^2+2(y+2.5)^2=18.5
divide both sides by 2
(x-2)^2+(y+2.5)^2=9.25
that is a circle center (2,-2.5) with radius √9.25
A quadratic equation is an equation with exponents and x's, for example 3x^2+4x+3 is a quadratic. and quadratics usually have two points it can cross the x axis. though that doesn't mean it always crosses twice. some quadratic equations can cross more then twice and some don't at all.
linear equations are simple. they always show a straight line on a graph.
And exponential are kind like quadratics, exponential always have an exponent but don't have multiple x intercepts. exponentials are equations like the equation for compound interest rates (Initial Account Balance * (Interest Rates) ^ Time) it is exponentially growing using exponents.
