Please, share just ONE problem at a time. Thanks.
<span>Solve 2x^2-12x+20=0:
Simplify this by dividing each term by 2: x^2 - 6x + 10 = 0
Identify a, b and c: a=1, b=-6 and c=10. Then b^2=36.
Write out the solutions using the quadratic formula:
6 plus or minus sqrt(36-40)
x = ---------------------------------------
2
sqrt(36-40) = sqrt(-4) = plus or minus i2
Then:
6 plus or minus i2
x = --------------------------- (answer)
2</span>
Steps to solve:
-4z + 4 + 12z = 3z + 4 + 5z
~Combine like terms
8z + 4 = 8z + 4
~Subtract 4 to both sides
8z = 8z
~Divide 8 to both sides
0 = 0
All real numbers are solutions.
Set builder notation: {x | R}
This is an identity since every value can be a solution to the equation.
Best of Luck!
Answer:
Less then
Step-by-step explanation:
When you dived by a decimal the answer decreases.
Answer:
ABCD and EFGH
ABCD and PQRS (or EFGH and PQRS)
Dilate by a scale factor of 3
Step-by-step explanation:
Congruent means they have the same shape and size.
Similar means they have the same shape, but not necessarily the same size.
The orientation (rotation angle) or position do not matter.
EFGH is reflected and rotated, so it maintains the same shape and size as ABCD. Therefore, they are congruent.
PQRS is scaled and translated, so it has the same shape, but different size than ABCD. Therefore, they are similar but not congruent.
Also, PQRS is similar to EFGH, but not congruent.
To make EFGH congruent to PQRS, we need to make it the same size. So we need to scale EFGH by a factor of 3.
I don’t know what that is it’s probably 9999999