Answer:
5. D
6. C
Step-by-step explanation:
<u>Question 5</u>
Lets plug in values of x and y into each equation to see which one works for the entire data set...
y=2x-4
1) Plug in -7 as x and -18 as y:
-18=2(-7)-4
2) Multiply:
-18=-14-4
3) Subtract:
-18=-18
The answers are the same, therefore the correct answer to question 5 is equation D. Keep in mind, you want to check ever single pair of points to make sure it works for all of them, I'm just not going to list that as it would make this answer a lot longer for no reason.
<u>Question 6:</u>
We know that the cost for the boat is $25 as a base price, and also costs an additional $1.30 per day for fuel.
The correct equation is C=25+1.30d, because we are adding 1.3 every single day.
Answer:
x = 10√3
Step-by-step explanation:
Because of the right angles, we can use Pythagoras
30² - x² = y² (a) Largest triangle
y² - 20² = h² (b) Medium triangle
substitute y² from (a) into (b)
30² - x² - 20² = h²
500 - x² = h² (d)
x² - h² = (30 - 20)² (c) smallest triangle
substitute h² from (d) into (c)
x² - (500 - x²) = 100
2x² = 600
x² = 300
x = 10√3
There would be 12 people at the party!
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.
Hope this helps!
It's its center:
(-2, 4)
Can't read y-4 or y+4, change the sign.
y-4 ---> SOLUTION: (-2,4)
y+4 ---> SOLUTION: (-2, -4)
