Answer:
k = 5
Step-by-step explanation:
First three terms of an AP are 3k-1, 4k+1, 6k-2.
First term is 3k-1
For an AP,
a₂-a₁=a₃-a₂
4k+1-(3k-1)=6k-2-(4k+1)
4k+1-3k+1=6k-2-4k-1
k+2=2k-3
Separating like terms,
k-2k=-3-2
-k=-5
k = 5
So, the value of k is 5.
Answer:
a. 35
b. 13
Step-by-step explanation:
a. x/5= 7
Cross Multiplication
x= (7)(5)
x= 35
b. x/2= 6.5
Cross Multiplication
x=(6.5)(2)
x=13
Answer:
12r^2 +r -7
Step-by-step explanation:
9r^2 +4r -7 +3r^2 -3r
Combine like terms
9r^2 +3r^2 +4r -3r -7
12r^2 +r -7
Answer:
x = 17
Step-by-step explanation:
Since the triangle is isoceles that means angle UTV is also 43 degrees. The sum of all angles in a triangle is 180 degrees. So construct this equation. 43 + 43 + 43 + 8x - 42 = 180. Now solve for x.
Answer:
x = -1
Step-by-step explanation:
first, create a formula or expression:
7x - 2 = 10x + 1
now, move the 10x, subtract it on the other side
-3x - 2 = 1
add 2
-3x = 3
divide by -3
x = -1
you can substitute it in to check