Answer:
d = 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁ = - 2 and a₈ = 26 , then
- 2 + 7d = 26 ( add 2 to both sides (
7d = 28 ( divide both sides by 7 )
d = 4
Answer:
EFG = 50.6, LMN = 129.4
Step-by-step explanation:
ok so s supplementary angles mean, their angles will always add upto 180. for example if one angle is 100° then the other will be 80°.
to find the angles first we need to solve for x.
we know EFG + LMN = 180 because its supplementary.
that's is (3x+17) + (12x-5) = 180.
we now solve for x;
15x+12 = 180
15x = 168, x= 168/15 = 11.2
now that we know x we can put this value in the corresponding equation of EFG and LMN to find the angles.
EFG = 3x11.2 + 17 = 50.6
LMN = 12x11.2 - 5 = 129.4
The Jasmine result is the good one because 1 mégas meter=1 000 000
-3x - 3.2 no
-1.2-8 no
-1.2x-3.2 yes
-1.2x+3.2 no
Since B is perpendicular to A. We can say that the gradient of B will be -1/7 (product of the gradients of 2 perpendicular lines has to be -1).
Now we know that the equation for B is y=-(1/7)x + c with c being the y intercept.
Since the point isnt specified in the question, we could leave the equation like this.
But if there is a given point that B passes through, just plug in the x and y values into their respective places and solve to find c. That should give you the equation for b.
Now, to find the solution of x, we have 2 equations:
1) y=7x+12
2)y=-(1/7)x+c
In this simultaneous equation we see that y is equal to both the expressions. So,
7x+12=-(1/7)x+c
Now, since the value of c is not found, we cannot actually find the value of x, but if we would find c, we could also find x since it would only be a matter of rearranging the equation.
And there you go, that is your solution :)
