x=−2x=-2 (Multiplicity of 22)
x=4x=4 (Multiplicity of 11)
4. If the determinant delta of a quadratic equation is positive, the equation has two real roots. If the determinant is negative, it has two imaginary roots. In this case, delta=b^2-4ac=(-1)^2-4*1*4=-15. Therefore, this equation has two imaginary roots.
Answer:
262 books sold
Step-by-step explanation:
This is a very vague word problem, but if it truly is just asking the amount of books sold (regardless of music or science), here's how to get the answer:
1. 287+134=421 - first you want to add together the two types of books to get the total amount of books in the store
2. 421-x=159 - create an equation and solve.
3. -x=-262 - follow order of operations and subtract 421 on both sides in order to isolate the variable
4. x=262 - divide each side by -1 to make the variable positive.
If you'd like an easier way, you can just:
1. 421-159=262 - it's easier, but my math teacher would count us wrong if we didn't do equations a specific way. Good luck!
1. 2n + 2*5 =2
2. 2n + 10 = 2
3. 2n = 2 -10
4. 2n= -8
5. n = -8/2
6. n = -4
Answer:
part A) The scale factor of the sides (small to large) is 1/2
part B) Te ratio of the areas (small to large) is 1/4
part C) see the explanation
Step-by-step explanation:
Part A) Determine the scale factor of the sides (small to large).
we know that
The dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
so
Let
z ----> the scale factor
The scale factor is equal to
substitute
simplify
Part B) What is the ratio of the areas (small to large)?
<em>Area of the small triangle</em>
<em>Area of the large triangle</em>
ratio of the areas (small to large)
Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures
In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In similar figures the ratio of its areas is equal to the scale factor squared