Answer:
Step-by-step explanation:
Given the following coordinates of a triangle
P(-10,1)
Q(-10,-7)
R(-5,-7)
Required
Length of PQ
PQ = √(y2-y1)²+(x2-x1)²
From the coordinate;
x1 = -10, y1 = 1, x2 = -10 y2 = -7
Substitute
PQ = √(-7-1)²+(-10-(-10))²
PQ = √(-8)²+0²
PQ = √64
PQ = 8units
Hence the length of PQ in units is 8units
(2129-1727)/1727=0.232
The percentage of increase is 23%.
To make sure we don't have negatives under the square root, we specify that

(x is greater than or equal to 0). We'll use this fact later on
--------------------------------------------
Start with the given inequality

and square both sides to get

. Couple this with the fact that

means we have this compound inequality

What does this mean? It means that we can pick any value from 0 to 49 (including both endpoints) and it will be a solution to the inequality. This applies to the values
49, 48 and 44Answers: Choice C, Choice D, Choice E
4m.
You can get this answer by setting the legs equal to x and x+4 and the hypotenuse as 2x-4. Then use the Pythagorean Theorem and the quadratic equation to solve.
Answer:
C.
Step-by-step explanation:
Before graphing this equation we first need to isolate y on one side like so...
y + 2 = 3(x+1) ... distribute the 3 to both values inside the parenthesis
y + 2 = 3x + 3 ... subtract 2 on both sides
y = 3x + 1
Now that we have the y variable isolated we see that the slope of the function is 3, meaning that for every 1 unit right the line needs to move 3 units up. We also have the value where the line needs to cross the y-axis and that is 1. Using this information we see that the correct graph is C.