Answer:
3/8 or 0.375
Step-by-step explanation:
0.75/2 = 3/8
Answer:
Graph 4
Step-by-step explanation:
Parallel lines have no solution to the system of equation. Graph 4 is a set of parallel lines, so they will never intersect.
The magnitude size of -5.8 is 5.8
magnitude size of a number is the number itself, and if it’s negative, it becomes its absolute value (in other words, you remove the subtraction sign).
Answer:
a₂ = -3
a₃ = -1
Step-by-step explanation:
We have to insert two arithmetic means between -5 and 1
Let a₁ and b₂ be the two arithmetic means between -5 and 1
-5, a₂, a₃, 1
Here,
We know that the nth term of an Arithmetic sequence
aₙ = a₁ + (n-1)d
a₄ = -5 + (4-1)d
1 = -5 + 3d
1 + 5 = 3d
3d = 6
Dividing both sides by 2
d = 2
Also
a₂ = a₁ + (2-1)d
a₂ = -5 + d
a₂ = -5 + 2 ∵ d = 2
a₂ = -3
a₃ = a₁ + (3-1)d
a₃ = -5 + 2d
a₃ = -5 + 2(2) ∵ d = 2
a₃ = -5 + 4
a₃ = -1
Thus,
a₂ = -3
a₃ = -1
Thus, the sequence becomes:
-5, -3, -3, 1
Answer:
The line is ;
4y = -x + 56
or
y = -x/4 + 14
Step-by-step explanation:
Generally, the equation of a straight line is;
y = mx + c
where m represents the slope
so for y = 4x - 6
The slope is 4
If two lines are perpendicular, the product of their slopes is -1
So for the second line, the slope will be -1/4
The equation in the point slope format will be ;
y-12 = -1/4(x-8)
y-12 = -x/4 + 2
Multiply through by 4
4y-48 = -x + 8
4y = -x + 8 + 48
4y = - x + 56
