Answer:
It would be -2.
Step-by-step explanation:
<u>Key skills: Conjugate, Distribution Property, and Addition/Subtraction </u>
3 + 
is your expression. The conjugate is an important concept you need to know to solve this.
Given the expression: 
It's conjugate would be: 
(Basically if there is an addition sign between the 2 terms, it would become a subtractions symbol and if there is a subtraction symbol it would become an addition symbol)
1) So the conjugate of 
would be 
2) Now we would have to multiply them
- (
)(
) is your expression. - If you use distribution property, you will get to:
- The two middle terms would cancel out (they both add up to 0), so then we have
- This would simplify into 9-11, which is then <u><em>-2</em></u>
Hope you understood, and have a nice day!! :)
Answer:
2/3
Step-by-step explanation:
If the dice has six sides then it would be 4/6 because there's four numbers out of 6 and if you simplify it then it would be 2/3.
Homer has made mistake in step 2
When you complete the square, you need to add the values to both sides of equation
<em><u>Solution:</u></em>
<em><u>Given equation of circle:</u></em>
Let us first calculate center and radius and find out where he did the mistake
<em><u>Step 1:</u></em>
Group the terms
<em><u>Step 2:</u></em>
But homers step 2 is:
So homer has made mistake in this step
When you complete the square, you need to add the values to both sides of equation
But homer did not add 49 and 1 to right side of equation
Correct steps are:
Comparing general equation of circle,
Therefore, center is ( 7, -1) and radius is 8.66
Answer:
20
Step-by-step explanation:
The two given and marked angles add up to 90.
A = x
B = 3x + 10
A + B = 90 Substitute for A and B. A and B are just letters I gave things.
x + 3x + 10 = 90 Combine the left
4x + 10 = 90 Subtract 10 from both sides.
4x +10-10 = 90-10 Combine
4x = 80 Divide by 4
4x/4=80/4
x = 20
