There are 48 ways to do this.
We will have 7 identical chairs around the table.
<span>We need to seat Pierre, Rosa and Thomas so that no two of them are together. This basically means alternating them between the other people at the table. Let Pierre sit first. Each seat is identical so he sits in one way. Now each seat is distinct relative to Pierre. There are 4 seats identified for the other members of the group and 2 for the Rosa and Thomas. The 4 other members can occupy the 4 distinct seats in 4! ways and Rosa and Thomas can occupy the 2 distinct seats in 2! ways. This gives us 4!*2!=4(3)(2)(1)(2)(1)=48.</span>
Answer:
HC = 1
Step-by-step explanation:
AC = HC +AH = HC +(HC+2) = 2·HC +2
The altitude divides the triangle into similar triangles, so the ratio of hypotenuse to short side is the same for all. That is ...
BC/HC = AC/BC
2/HC = (2HC +2)/2
4 = 2(HC)(HC +1) . . . . . cross multiply
0 = HC² +HC -2 . . . . . . divide by 2, subtract 2
0 = (HC -1)(HC +2) . . . . factor. Solutions are those values of HC that make the factors be zero.
The useful solution is ...
HC = 1
The answer to the question
Answer:
6
Step-by-step explanation:
To calculate <em>x+10</em>, we first need to find <em>x</em>. To do this, we can use the first equation.
We are given the equation:
To solve for <em>x</em>, turn one side of the equation into 0 and solve. Therefore:
So, the possible values for <em>x</em> are -4 and 12.
However, we are also told that <em>x<0</em>. In other words, <em>x</em> must be negative. Thus, we can remove 12. That leaves us with: <em>x=-4. </em>
So:
Hey there!
For the left side, we are going to use the distributive property, which means:
a(b+c) = ab+ac
Therefore, we have:
4y + 8 = 32
Subtract 8 from both sides.
4y = 24
Divide both sides by 4 to get:
y = 6
I hope this helped you! :)
