Given,
LP = 15, PR = 9
Point P lies on the line segment PR. It would mean that,
LP + PR = LR
⇒LR = 15 + 9
⇒ LR = 24
Hence, "LR = 24 because LP + PR = LR according to the Segment Addition Postulate, and 15 + 9 = 24 using substitution" is the correct option.
10 : 30
4: x [x is the length]
10/4=2.5
30/2.5=x=12
length of the diagram is 12cm
Answer:
and
.
Step-by-step explanation:
If we have to different functions like the ones attached, one is a parabolic function and the other is a radical function. To know where
, we just have to equalize them and find the solution for that equation:

So, applying the zero product property, we have:
![x=0\\x^{3}-1=0\\x^{3}=1\\x=\sqrt[3]{1}=1](https://tex.z-dn.net/?f=x%3D0%5C%5Cx%5E%7B3%7D-1%3D0%5C%5Cx%5E%7B3%7D%3D1%5C%5Cx%3D%5Csqrt%5B3%5D%7B1%7D%3D1)
Therefore, these two solutions mean that there are two points where both functions are equal, that is, when
and
.
So, the input values are
and
.
Answer:
The y-intercept refers to the y-coordinate of a point where a curve or a line, intersects the y-axis.
In the given equation, the y-intercept is ( 0, 9.5).
Step-by-step explanation:
We have been given the equation;
y=0.10x+9.50
The y-intercept is simply the y-coordinate of a point where the line intersects the y-axis. At this point, the value of x is usually zero.
y = 0.10 (0) + 9.50
y = 0 + 9.50
y = 9.50
is our y-intercept