Answer:
{3-i, 3+ i}
Step-by-step explanation:
hello : the equation is : x²-6x+10 =0
because : (3+i)²-6(3+i)+10 = 9+6i+i²-18-6i+10 =9+6i-1-18-6i+10 =0...right
same method for 3-i... (all quadratic equation have two conjugate solution)
400 cupcakes in total
200 would be vanilla
so 100 would be chocolate and the remaining 100 should be funfetti
A: 100
Answer:
c=10mm
Step-by-step explanation:
Using pythagoras theorem,
hypotenuse²=base²+altitude²
=√19²+9²
=19+81
=100
Hypotenuse²=100
Hypotenuse=√100
=10
Answer:
Second option: On a coordinate plane, rectangle A'B'C'D' prime has points
(See the graph attached)
Step-by-step explanation:
For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.
In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image) are the following:

Therefore, to find the vertices of the rectangle A'B'C'D' (The Image) that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:

Finally, knowing those points, you can identify that the graph that shows the result of that Dilation, is the one attached.
Any of the tens i think (10=60, 20+50, etc.), but i am not too sure what is implied by regrouping. if i am right in thinking this only means "carrying" a digit after adding, then anything that adds up to 70 would work unless the sum of the digits in the ones place exceeded 9.