Answer: Like the angles BAC (56°) and BDC has the same arc BC in the circumference, these angles must be congruent, then angle BDC must be equal to 56°.
You'll have to do the actual multiplication here:
3(n+2)(4n+1) 1 4n^2 + n + 8n + 2
-------------------- = ----- * ---------------------------
6 2 1
or (1/2) (4n^2 + 9n + 2), which, after mult., becomes
(1/2)(4n^2) + (1/2)(9n) + 1
This simplifies to 2n^2 + (9/2)n + 1
Therefore, write (1/2) in the first box and (1) in the second box.
The correct answer should be the third option. YOU'RE WELCOME :D
Answer:
D. x = 0.5
Step-by-step explanation:
A graphing calculator is the quickest way to get to an answer here.
f(x) = g(x) for x = 0.5
__
We can find the y-intercepts of the two functions to be ...
f(0) = -3
g(0) = -2
We know the x-intercept of g(x) is x=4. The x-intercept of f(x) will be a value less than 1, because f(1) = 1. (The function crosses the x-axis between x=0 where f(x) < 0 and x=1, where f(x) > 0.)
Considering these intercept points, we know the value of x for f(x)=g(x) will be between x=0 and x=1. There is only one answer choice in that interval:
x = 0.5
Answer:
Step-by-step explanation:
Slope m = 5/6
The points (-2,1)
So; y1 = 1 and x1 = -2
The equation is y - y1 = m(x - x1)
y - 1 = 5/6(x + 2)
Multiply each term by 6
6y - 6 = 5(x + 2)
6y - 6 = 5x + 10
6y = 5x + 10 + 6
6y = 5x + 16
- 5x + 6y = 16
Multiplying by minus
5x - 6y = -16