Formula to find the slope:
m = y2-y1 / x2-x1
(4,3); (8,5)
m= 5-3 / 8-4
m = 2/4
m = 1/2
Therefore, the slope of the line that passes through these points is 1/2
<u>x = 3</u>
f(x) = x²+ 10x - 5
f(3) = (3)² + 10(3) - 5
f(3) = 9 + 30 - 5
f(3) = 39 - 5
f(3) = 34
g(x) = 8x + 1
g(3) = 8(3) + 1
g(3) = 25
h(x) = 3x - 4
h(3) = 3(3) - 4
h(3) = 9 - 4
h(3) = 5
<u>x = 6
</u>f(x) = x² + 10x - 5
f(6) = (6)² + 10(6) - 5
f(6) = 36 + 60 - 5
f(6) = 96 - 5
f(6) = 91
g(x) = 8x + 1
g(6) = 8(6) + 1
g(6) = 48 + 1
g(6) = 49
h(x) = 3x - 4
h(6) = 3(6) - 4
h(6) = 18 - 4
h(6) = 14
I would explain to someone that you don't need to do any calculations to know the order of the functions when x is equal to 15 by knowing that f(x) is equal to 370, g(x) is equal to 121, and h(x) is equal to 41 to know that it is easy finding the function of x without calculating the answer.
Answer:
m<1 = 125°
m<2 = 55°
Step-by-step explanation:
Okay, so we're dealing with alternate interior angles and all that sorta stuff, so I'll try to explain it best I can, if I'm too confusing let me know, let's go:
So the angle labeled 125° and angle 1 are alternate interior angles, so they're equal (yes, we're ignoring the fact that that might not me right because the other line isn't straight, I don't have another solution okay) anyways, so that means that:
1 = 125°
Now we know what 1 and 2 are on the same plane or axis or something like that, so basically, 1 and 2 HAVE TO add up to 180°, so that means that:
125 + x = 180
And now we just have to do the inverse operations thing:
180 - 125 = 55
So, m<1 = 125° and m<2 = 55°
tell me if this is wrong so I can fix it
hope this helps:)
Step-by-step explanation:
The total area of the figure is 50cm².
