A1. 12 i.e option D
A2. 3n-7 i.e option A
A3. -6n+20 i.e option D
A4. -70 i.e option C
Step-by-step explanation:
aₙ = a₁ + (n - 1) × d
aₙ = the nᵗʰ term in the sequence
a₁ = the first term in the sequence
d = the common difference between terms
Using the above formula to solve the first part, we have :
For the second part, we have :
For the third part, we have :
For the fourth part, we have :
Hello from MrBillDoesMath!
Answer:
The lines do not intersect
Discussion:
Where do the lines intersect?
5x + 4 = 5x - 3 => subtract 5x from both sides
4 = -3 => NO WAY! The lines do not intersect
Thank you,
MrB
The answer is 8, because CA and BC are equal
Answer:
y=1/2x+2
Step-by-step explanation:
The equations come in the form of y=mx+c, where m is the gradient and c is the y-intercept. Looking at the graph we know that the y-intercept is (0,2), so that rules out options B and C.
To find the gradient is a little more tricky, but we can follow the formula:
, where rise is the vertical value and run is the horizontal value
So we sub in our values:

And simplify:

So now we sub in our new found values into y=mx+c:
y=1/2x+2
Answer:
cos B= 7/25
tan B = 24/7
sin B = 24/25
Step-by-step explanation:
cos B= adjacent/hypotenuse = 7/25
tan B = opposite/adjacent = 24/7
sin B = opposite/hypotenuse = 24/25