Answer:
x = 40
Step-by-step explanation:
Here's a fun fact, all of those angles actually add up to 360 degrees!
How do we know this? Well if you were to draw a small arc between each of the lines, you would see that the arc would end up making a circle. And remember, circles have 360 degrees!
Now we can do some basic algebra. Add up all the angles and set that equal to 360.
(2x) + (x) + (3x + 20) + (2x+20) = 360.
8x + 40 = 360
8x = 320
x = 40
Hope this helped!
Answer:
The answer is -1.
Step-by-step explanation:
It is a little messy tho. I will assume that you want 3-(4)
Answer:
The quadratic function whose graph contains these points is 
Step-by-step explanation:
We know that a quadratic function is a function of the form 
. The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.
Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.
We can solve these system of equations by substitution
- Substitute
- Isolate a for the first equation
- Substitute
into the second equation
The solutions to the system of equations are:
b=-2,a=-1,c=-2
So the quadratic function whose graph contains these points is
As you can corroborate with the graph of this function.
Answer:
$1000
Step-by-step explanation:
We can form an equation for Clayton's account: C = 500 + 10x
We can form an equation for Clayton's account: J = 400 +12x
(where x is the number of days)
When the two accounts will contain the same amount, it means: C = J
<=> 500 + 10x = 400 +12x
<=> x =50
After 50 days, there accounts will be balance. Then, we substitue x into any of the 2 equation to find out the amount: 500 + 10(50) = $1000
T= C(7+AB)
T = 7C + ABC
T - 7C = ABC
(T - 7C)/BC = A
