Ok so, based on the graph lets say that x = seconds and y = depth of dolphin. the interception in both points is when they are at 0 i.e when x is equals 0 and y equals 0. So At 0 seconds, the dolphin is 42 feet below the surface. So we say that x = 0, y = -42 and then the y intercepts = -42 so the point of interception is(0 (seconds),-42(depth of the dolphin)) When the clock says it's 14 seconds, the dolphin is even with the surface (0 below the surface this time). So we say that x = 14, y = 0. In this case The x intercept = 14 (14,0). But we need to calculate The slope with the formula= (y2 - y1)/(x2 - x1) = 42/14 = 3. Therefore, the formula for this line is y = 3x - 42.
△ABC right angle C, leg BC > leg AC. So angle A > angle B.
a=BC, b=AC, c=AB
a > b
sin A= cos B = a/c
sin B = cos A = b/c
a = c sin A = c cos B
b = c sin B = c cos A
a > b
c sin A > c sin B
sin A > sin B
c cos B > c cos A
cos B > cos A
Answer: B, E
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )
m = =
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
2x - 3y = 6 ( subtract 2x from both sides )
- 3y = - 2x + 6 ( divide through by - 3 )
y = x - 2 ← in slope- intercept form
with slope m =
Parallel lines have equal slopes , then
= , so
- 4 - a = 2 ( add 4 to both sides )
-a = 6 ( multiply both sides by - 1 )
a = - 6 → A
Answer:
19
Step-by-step explanation:
(4+3)2+5=
7(2)+5=
14+5=
19