Step-by-step explanation:
if there is no typo, then that is
y = 1 + 5 = 6
y = 6
has no term in x.
that means 6 is the constant result of the line function, no matter what x value we pick.
and that means this is a horizontal line (parallel to the x-axis) going through the point y=6 or (0, 6).
remember that the slope is the ratio "y coordinate change / x coordinate change".
but y is not changing at all, the change or difference is always 0 no matter what points we pick on the line.
and so, the slope ratio is always "0/...". and that is 0.
so, the slope of that line is 0.
but if there is a typo, then please know : the slope of a line
y =ax + b
is always a (the factor of x).
The circumference of a circle -
The radius is
10 in.
Okay I'll try to show it step by step
Step 1. So first you need to recognise that the diagram is a right angled triangle, with the right angle being at the bottom. This means we can do Pythagoras' Theorem.
Step 2. Now that you know you can use Pythagoras' Theorem, you can apply it. If you don't know, the theorem is a² + b² = c², with, in this case, a being 5 and b being 8. This means we can do 5² + 8² = 25 + 64 = 89.
Step 3. From the previous step, we now know that the length of the side including x is √89, and because we know that part of this side is 3, if we subtract 3 from √89 we get the value of x, so: √89 - 3 = 9.434 - 3 = 6.434, which is your answer.
I hope this helps!
In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:
LO/LP = LM/LN
22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
</span>
Cross-multiplying:
30x + 360 = 22x + 374
Isolating x to one side of the equation by subtracting 22x and 360 from both sides:
30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75
Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75
Therefore the value of LP is 13.75 in.
You can solve any further