AC= √CD^2+AD^2
AC= √AB^2+BC^2
Those two are true
See explanation in photo below
Good luck
Answer:
y = 3x - 19
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Define variables
Slope <em>m</em> = 3
Random point (5, -4)
Step 2: Plug in known variables
y = 3x + b
Step 3: Find <em>b</em>
-4 = 3(5) + b
-4 = 15 + b
b = -19
Step 4: Write linear equation
y = 3x - 19
Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4
Answer:
Step-by-step explanation:
I take it that this is some sort of ratio. Start by solving the brackets on the left.
Brackets: 1/3 - 1/10
Brackets: 10/30 - 3/30
Brackets: 7/30
Brackets^2: 49/900
Brackets^2 - 1/5: 49/900 - 180/900
Brackets^2 - 1/5: -131/900
(2/5)^2 = 4/25
The way this read, it should be
Which when you invert and multiply becomes
which finally becomes
The answer is 6 units and 3 fourths
