Let the distance of Judy from intersection is x and distance of Jackie from intersection is y.
We convert the given information to equations, step by step.
Point 1: When Jackie is 1 mile farther from the intersection than Judy.
This means y is 1 mile more than x.
So,
y = 1 + x
Point 2: The distance between them is 2 miles more than Judy’s distance from the intersection.
Distance between is x+ y.
So, x+y is 2 miles more than y.
x+y = y + 2
⇒
x = 2
From point 1 we have:
y = 1 + x = 1+ 2 = 3
So,
Distance of Judy from intersection is 2 miles and distance of Jackie from intersection is 3 miles.
Step-by-step explanation:
Volume of a cylinder is:
V = πr²h
V = (3.14) (4 in)² (5 in)
V = 251.2 in³
Volume of a cone is:
V = ⅓ πr²h
V = ⅓ (3.14) (4 in)² (15 in)
V = 251.2 in³
The volumes are equal.
Answer: line N
Lenght of XY: 3
Step-by-step explanation:
The line N splits <u>XY</u> into two parts
5x+8=9x+12
-9x on each side
-4x+8=12
-8 on each side
-4x=4
divide by -4 on each side
x=-1
Answer:
, 
Step-by-step explanation:
One is asked to find the root of the following equation:

Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:

Change the given equation using inverse operations,


The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:

Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,


Simplify,



Rewrite,

, 