<span>Premise
1: If a polygon was translated to the right, then its image is
congruent to its pre-image.
In symbols: p => q
Premise 2: If an image is congruent to its
pre-image, then a rigid transformation was performed.
In symbols: q => r
By the law of silogism
(p => q) and (q => r) => q => r
So, the conclusion is that </span><span>if a polygon was translated to the right, then a rigid transformation was performed. <---- answer</span>
Answer:
32,000
Step-by-step explanation:
Answer:
The correct option is d i.e. scatter plot
Step-by-step explanation:
The correct option is d i.e. scatter plot
scatter plot will be the best option to display the variation of expenditure with respect to annual income.
on one axis annual income is used and on the other expenditure of the family. hence for a particular change in annual income, an impact on expenditure will easily be predicted.
Answer:
x = - 5, x = 2
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log (
)
x = n ⇔ x = 
note that log x = 
x
Given
log (x² + 3x) - log10 = 0, then
log(
) = 0, thus
= 
= 1 ( multiply both sides by 10 )
x² + 3x = 10 ( subtract 10 from both sides )
x² + 3x - 10 = 0 ← in standard form
(x + 5)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 2 = 0 ⇒ x = 2
Solution is x = - 5, x = 2
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.
