X ×2 + 3x -4>0
2x+3x-4>0
5x>4
x>4\5
x>0.8
I think that this right answer
Answer:
6. E
7. D
8. 5,-8,34
Step-by-step explanation:
A. Parallel to the y-axis and passes through the point (3,5)
For it to be parallel to the y-axis, what this means is that it has an x-intercept and no y intercept.
So what this means is that x = 3 is our line so E is correct
B. Perpendicular to the y-axis means it is parallel to the x-axis
It means is has no x intercept and thus its x value at any point in time is zero
So the equation is y = -5
or simply y + 5 = 0 which means D is correct
C. It is parallel to the line 5x -8y + 12 = 0
Thus: 8y = 5x + 12
dividing both sides by 8
y = 5x/8 + 12/8
y = 5x/8 + 3/2
y = 5x/8 + 1.5
Comparing this with the general equation of a straight line ;
y = mx + c
where m is that slope, this means that 5/8 is the slope of the line
Mathematically if two lines are parallel, they have equal slopes.
So we can say the slope of the other line too is 5/8
Now to find the equation of the other line, we can use the point-slope method
y-y1 = m(x-x1)
where (x1,y1) in this case is (-2,3)
So we have;
y-3 = m(x-(-2))
y-3 = 5/8 (x + 2)
8(y-3) = 5(x + 2)
8y -24 = 5x + 10
5x + 10 + 24 -8y = 0
5x -8y + 34 = 0
So A, B, C = 5, -8, 34
Let's convert one of these numbers:
1 foot = 12 inches
9 feet were 9*12=108 inches
so the ratio would be 42: 108
or we can simplify it: divide by 2:
21:54
divide by 3:
7:18
A ratio always stays the same no matter the unit or currency, so it doesn't matter which unit we convert it to.
Answer: 6 miles
Step-by-step explanation:
The diameter is 2x the radius
2 x 3 = 6
Point slope form says the line through (a,b) with slope m is
y - b = m(x - a)
Here that's
y - 32 = -6(x - -6)
y -32 = -6(x + 6) = -6x - 36
y = -6x - 4
Check:
-6(-6) - 4 = 36 - 4 = 32, good
Answer: y = -6x - 4
