Answer:
So m= - 11
Step-by-step explanation:
* THe vertex is (-2,6), then the equation is y = a(x+2)^2 +6, a is to find out.
* A root is 7 means x=7 and y=0, then :
0 = a(7+2)^2 +6
0=81a+6 or a= -6/81 = -2/27.
* We have the equation: y= -2/27 (x+2)^2 +6=-2/27 [ (x+2)^2-81]
y= -2/27 (x-7)( x+11).
So m= - 11
Hope that you understand.
Please, group your sets of numbers, using { } notation or at least semicolons ( ; ). Thanks.
Looking at what I think is your first set: { sqrt(4), sqrt(5), sqrt(16) }
Square each of these and then subst. the results into the Pythagorean Theorem:
{ 4, 5, 16 } Do 4 and 5 when added together result in 16? NO.
Therefore, { sqrt(4), sqrt(5), sqrt(16) } does not produce a right triangle.
Your turn. Pick out the next 3 numbers and test them using the Pyth. Thm.
The solution to given system of equations are (x, y) = (4, 2)
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
2x + 3y = 14 ---------- eqn 1
3x - 4y = 4 --------- eqn 2
We have to solve the given system of equations
We can solve the above system of equations by elimination method
<em><u>Multiply eqn 1 by 3</u></em>
3(2x + 3y = 14)
6x + 9y = 42 --------- eqn 3
<em><u>Multiply eqn 2 by 2</u></em>
2(3x - 4y = 4)
6x - 8y = 8 ----------- eqn 4
<em><u>Subtract eqn 4 from eqn 3</u></em>
6x + 9y = 42
6x - 8y = 8
( - ) --------------
9y + 8y = 42 - 8
17y = 34
<h3>y = 2</h3>
<em><u>Substitute y = 2 in eqn 1</u></em>
2x + 3(2) = 14
2x + 6 = 14
2x = 14 - 6
2x = 8
<h3>x = 4</h3>
Thus the solution to given system of equations are (x, y) = (4, 2)
8 dollars per hour because 92-20=72. That the allowance you earn per week. After that you divide 72/9 because you work 9 hours to get to 72 dollars.
1.4 hours
It took a while to get this one, and I must admit, I'm not the best at explaining anything so I'm simply going to leave the answer above to help those who are stuck.
