D dddddddddddddddddddddfdfddxdddd
Answer:
-20
Step-by-step explanation:

According to PEMDAS, we need to do the math in the parentheses first.

Applying PEMDAS to the inside of the parentheses, then we have to divide -6 by -1, where we would get 6.

Adding a negative is the same as subtracting, so adding negative 10 is the same as subtracting 10.

Subtracting, we get 6 - 10 = -4 and we're left with:

Multiplying, <u>our final answer is -20.</u>
Hope this helps!
Answer:
a = π n for n element Z
Step-by-step explanation:
Solve for a:
sec(a) + tan(a) = sec(a) - tan(a)
Subtract sec(a) - tan(a) from both sides:
2 tan(a) = 0
Divide both sides by 2:
tan(a) = 0
Take the inverse tangent of both sides:
Answer: a = π n for n element Z
The coordinates of point D is given as

Since the question asks to get two points sharing the same x-coordinate as D, we will move the points along the y-axis.
Therefore, we will add and subtract 7 units from the y-axis.
Let the first point be A. The coordinates for A will be

Let the second point be B. The coordinates will be

We can plot the graph as shown below:
Problem 1 (on the left)
It appears we have an exponential function curve through the points (0,4) and (1,7)
The general exponential function is of the form
y = a*b^x
The value of 'a' is the y intercept or initial value. So a = 4
Plug in (x,y) = (1,7) to help solve for b
y = a*b^x
y = 4*b^x
7 = 4*b^1
7 = 4b
b = 7/4 = 1.75
Therefore, the function is y = 4*(1.75)^x
- Plug in x = 0 and you should get y = 4.
- Plug in x = 1 and you should get y = 7
These two facts help confirm we have the correct exponential equation.
<h3>Answer: y = 4*(1.75)^x</h3>
===========================================================
Problem 2 (on the right)
The steps will follow the same idea as the previous question.
The exponential curve goes through (-1, 120) and (0,40)
We have a = 40 this time due to the y intercept (0,40)
Plug in the coordinates of the other point to find b
y = a*b^x
y = 40*b^x
120 = 40*b^(-1)
120 = 40/b
120b = 40
b = 40/120
b = 1/3
<h3>Answer: y = 40*(1/3)^x</h3>