Answer:
A) (-5, -34)
Step-by-step explanation:
f(x) = x^2 + 10x - 9
We complete the square to get the equation in vertex form
Take the coefficient of the x term and divide by 2 then square it. We add it and then subtract it not to change the value of the equation
f(x) = x^2 + 10x +(10/2)^2 - (10/2)^2 - 9
f(x) = x^2 +10x +25 -25 -9
f(x) = (x^2 +10x +25) -34
The term in parentheses simplified to (x+10/2) ^2
= (x+5)^2 -34
= (x - -5)^2 -34
This is in the form (x-h)^2 +k
The vertex is (h,k) h=-5 and k=-34
(-5,-34)
Let the angle be y;
Then the supplement is 5y
y+5y=180
6y=180
y=30
The angle is 30 degrees
Step-by-step explanation:
step 1. (1) 5a +8c +4p = 57
(2) 9a +8c + 7p = 89
(3) 8a + 4c + 5p = 68.
step 2. this is a 3 variable system. solve the system.
step 3. eliminate c from (1) and (2) and also from (2) and (3). so you now have 4a + 3p = 32 and 7a + 3p = 47. now you have a two variable system
step 4. eliminate p by subtracting: 3a = 15 so a = 5.
step 5. if a = 5 then p = 4 ( plug into step 3)
step 6. if a = 5, p = 4, then c = 2 (plug into step 1).
step 7. apples = 5, pears = 4, cherries = 2.
The tax is 7% of the price of the computer, so we must do
. Next, we add this (tax) to the original price of the computer (1500) to get
. Ray is going to pay $1,605 in total.
