The perimeter is simple the sum of the side lengths so:
4x-1+4x+2+3x+4=49 combine like terms on left side
11x+5=49 subtract 5 from both sides
11x=44 divide both sides by 11
x=4
Y = x^2 - 6y + 8
y = (x - 3)^2 - 9 + 8
y = (x -3 )^2 - 1
vertex is at ( 3, -1)
The answer is that the slope equals -2.
Explanation:
To find the slope, all you have to do is count how many units the line goes up and right between two points. Between points (-2,4) and (0,0), the lines does up -4 units (the negative means it went down) and right 2. Then, divide the up/down by the left/right, -4/2, in this case, to find the slope. -4/2 is -2. Therefore, the slope is -2.
Answer:
Correct choices are a, b, e
Step-by-step explanation:
As per diagram, the circles are equal.
<u>Since the distance AB is the radius of both circles:</u>
- AB = AC = BC = BD = AD = r
<u>So the answer choices:</u>
a. AC = BC
b. AC = BD
C. CD = AB
- Incorrect. Half of CD is the leg of 30-60-90 triangle and is equal to r√3/2, so CD = AB√3
d. ABCD is a square
- Incorrect. ACBD is rhombus
e. ABD is an equilateral triangle
- Correct, all three sides are equal to r
f. CD = AB + AB