Number 3.) The answer to this one is x=-14
That is because when a line is undefined it goes as x = (whatever number it is on)
Currency Ln. is undefined and you have to find a line parallel so that's why it's x = -14
Number 4.)
So it says that the new street will be parallel to Market Blvd. meaning that they will have the same slope
Find the slope of Market Blvd.
Rise/Run
the slope is negative as it goes down from left to right
it goes down 7 and over 1
slope = -7
and it will pass through the point (-1, 5)
to find the y-intercept we plug in the points to y = mx + b
5 = -7(-1) + b
5 = 7 + b
subtract 7 from both sides
-2 = b
Plug all the info into the slope intercept we get:
y = -7x -2
So your answer is G
Number 5.)
If a line is parallel to another line, that means they have the same slope
So here you just need to find the slope of the line named "Bear Street"
Slope is the change in y over the change in x
or the rise/run
The rise is 1
and the run is 7
it is a positive slant as the line goes up from left to right
so the slope is
1/7
Or D.) 1/7
Hope this helps :)
We are given the function:
g(x) = 6 (4)^x
Part A.
To get the average rate of change, we use the formula:
average rate of change = [g(x2) – g(x1)] / (x2 – x1)
Section A:
average rate of change = [6 (4)^1 – 6 (4)^0] / (1 – 0) =
18
Section B:
average rate of change = [6 (4)^3 – 6 (4)^2] / (3 – 2) =
288
Part B.
288 / 18 = 16
Therefore the average rate of change of Section B is 16 times
greater than in Section A.
<span>The average rate of change is greater between x = 2 to x = 3 than between
x = 1 and x = 0 because an exponential function's rate of change increases
with increasing x (not constant).</span>
Answer:
x=6
Step-by-step explanation:
I would look at this triangle and notice that x can be solved by setting up a ratio.
I generally put the short side of the triangle on the top and the long side on the bottom
4/x = x/9
You then cross multiply to get 36=x^2, or +-6=x
A length of a triangle cannot be negative, so we are left with the answer x=6
Answer:
Secants – 1. <CBG 2. <AGF 3. <ABD
Tangent – 1. <CDE
Chords – 1. <BD 2. <DF 3. <BG 4. <BF 5. <GD 6. <FG
Angles – 1. 45 2. 75 3. 35 4. 70 5. 75 6. 55 7. 50 8. 25 9. 35 10. 70 11. 50 12. 25 13. 70 14. 50. 15. 60 16. 85 17. 95 18. 85 19. 95
Step-by-step explanation:
