Answer: (16,O0) That is 16 to positive infinity
Step-by-step explanation:
4.5x - 9.5 > 62.5
4.5x > 62,5 + 9.5
4.5x > 72
x > 72/ 4.5
x> 16
So all real numbers greater than 16 is the solution set.
(16,O0)
I wish I had the infinity symbol on this keyboard!
Slope is -1/2
2-4/6-2=
-1/2
m=-1/2
It is D because it means supplementary angles which equal up to 180
Answer:
3y = 8x - 91
y = 8/3 * x - 30 1/3
Step-by-step explanation:
First we can find the slope of the second line.
Let's rewrite the equation as 8y=44-3x.
After dividing both sides of the equation by 8 we'll get an equivalent equation y = 5.5 - 3/8 * x. The coefficient of x is the slope -> the slope is -3/8. In order for the line to be perpendicular to this line the product of the slopes of two lines should be equal to -1 or in other words the slopes have to be opposite reciprocals of each other. The reciprocal of -3/8 is -8/3. Opposite to it is 8/3. Now we know the slop and the coordinates of a point on the line (given). Let's make the equation of the line in the form of y = mx+ b. We can plug in values for m, y and x. m = 8/3(slope), y=-9 (second coordinate of the point), x = 8 (first coordinate). We got
-9 = 8/3 * 8 +b
Now we need to solve the equation to find b
b =-91/3 or -30 1/3
