Parallel lines have the same slope but different y intercepts
Slope: 4
y=4x+b
this is the new equation, plug in the point
-10=4(-1)+B
-10=-4+B
add 4
-6=B
Y intercept= -6
slope; 4
Answer:
250
Step-by-step explanation:
i think i might be wrong
Answer:
8.333333
Step-by-step explanation:
3x+2(4+6x)=133
3x+8+12x=133 First I distibuted the 2 too the 4 and 6x
15x+8=133 Then I added the x es 3x and 12x
15x+8-8=133-8 Then I subracted 8 from both sides
15x=125 That leaves with this
15x/15=125/15 Now I divide 15 from both sides to isolate x
x= 8.33333 that is the answer
check
3x+2(4+6x)=133
3*8.333333+2(4+6*8.333333)=133
24.999999 +2(4+ 49.999998)=133
24.999999+2( 53.999998)=133
24.999999+107.999996=133
132.999995=133
You can not get an exact answer for this problem
The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.
The sequence is an arithmetic sequence. Therefore,
d = common difference
let
a = centre term
Therefore, the 3 consecutive term will be as follows
a - d, a, a + d
a - d + a + a + d = 27
3a = 27
a = 27 / 3
a = 9
Therefore,
(a-d)² + (a)² + (a + d)² = 293
(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293
(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293
243 + 2d² = 293
2d² = 50
d² = 50 / 2
d = √25
d = 5
common difference = 5
Therefore, the 3 numbers are as follows
9 - 5 , 9, 9 + 5 = 4, 9, 14
The difference between the greatest and the least of these 3 numbers are as follows:
14 - 4 = 10
learn more on Arithmetic progression: brainly.com/question/25749583?referrer=searchResults
