Answer:
k=140
Step-by-step explanation:
64+76=140
180-140=40
180-40=140
k=140
Answer:
B. 5 + 7i
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
<u>Algebra II</u>
- Complex Standard Form: a + bi
- Imaginary Numbers
Step-by-step explanation:
<u>Step 1: Define expression</u>
(8 + 9i) + (5 - 9i) - (8 - 7i)
<u>Step 2: Simplify</u>
- Distribute negative: 8 + 9i + 5 - 9i - 8 + 7i
- Combine like terms: 5 + 7i
Answer:
y = -2x + 8
Step-by-step explanation:
The point slope form of an equation is written as
y = mx + c ...............(i)
Where m is the slope and c is the constant
Now we Know that the equation is
y + 2 = -2(x-5)
and the given points are
m= -2
x = 5
and y= -2
Putting these values in equation (i) to find the value of c
y = mx + c
it becomes
-2 = -2(5) + c
-2 = -10 + c
Adding 10 on both sides
-2 + 10 = -10 + 10 + c
8 = c
or c=8
Now we have the values of m and c
where m= -2 and c = 8
Point slope form of an equation is
y = mx + c
putting the values of m and c to get equation in slope intercept form is
y = (-2)x + 8
or
y = -2x + 8
Other method:
The given point slope form is
y + 2 = -2(x-5)
We have to change it in y= mx + c form
so solving it
y + 2 = -2x + 10
Subtracting 2 from both sides
y + 2 -2 = -2x + 10 -2
y = -2x + 8
which is same is
y=mx + c
so the required equation is
y = -2x + 8
The two graphs in the second picture are the graphs of exponential functions. You can detect it from the L shaped graphs.
The very first graph represents a linear function. A straight line always represents a linear function. In a Linear function, the change in the values of y is constant throughout in relative to change in x values.
The final graph represents a quadratic function rising on both ends.
Therefore, option b and c are the correct answers
