Answer: y>-3 and x is all real numbers
Answer:
Step-by-step explanation:
<u>The correct question is:</u> If the first, second and last term of an AP are a,b and 2a respectively, then show that the sum of all terms of an AP is 3ab/2(b-a).
Firstly, as we know that the nth term of an A.P. is given by the following formula;
, where a = first term of AP, d = common difference, n = number of terms in an AP and = last term
Since it is given that the first, second and last term of an AP are a,b and 2a respectively, that means;
first term = a
d = second term - first term = b - a
= 2a
So,
------------- [equation 1]
Now, the formula for the sum to n terms of an AP when the last term is given to us is;
{using equation 1}
Hence proved.
Answer:
y = - x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 3 ← is in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= - = - , thus
y = - x + c ← is the partial equation
To find c substitute (8, 5) into the partial equation
5 = - 4 + c ⇒ c = 5 + 4 = 9
y = - x + 9 ← equation of line
Answer:
120
Step-by-step explanation:
This shape is made out of two figures, a rectangle with sides 20 and 3.5 and a parallelogram with height 2.5 and base 20. 2.5*20+20*3.5=50+70=120 cubic centimetres. Hope this helps!
Answer:
well good for you
Step-by-step explanation: