Answer:
z=-3
Step-by-step explanation:
The given line has slope m=-7.
The line passes through (-1,-8) and (z,6).
We use the slope formula:

We substitute
,
,
,
and
to get:




Expand 



A represents the speed of the aircraft.
b represents the speed of the bus.
a=2b-5
114/b=218/a
Substitution method
114/b=218/(2b-5)
(2b-5)*(114/b)= 218
(228b-570)/b = 218
228b-570= 218b
228b-218b=570
10b= 570
b=57
Plug the value of b into one of the original equations.
a=2(57)-5
a=114-5
a=109
Final answer:
Average speed of plane= 109
Average speed of bus= 57
Answer:
Pencil on y: 5.5 then 3 down and 1 to the right. (You can trace a line with 2 points, but can continue the pattern: 3 down, 1 to the right)
Step-by-step explanation:
y- intercept = 1 - (3/2)(-3)
y-intercept = 1 + 9/2 = 11/2 = 5.5
y = 3/2x + 11/2
Answer: The diagram shows a square ABCD with a point inside it which is 1 unit from D, 2 units from A and 3 units from B. Let angle APD= theta . (a) Show that theta = (3pi)/4 (b Show that if P is outside the square , then theta = pi/4 () Is the situation possible if P is 3 units from C instead of from B?
Step-by-step explanation:
Answer:
x = - 1
Step-by-step explanation:
The equation of the axis of symmetry for a parabola in standard form
y = ax² + bx + c : a ≠ 0 is found using
x = - 
y = - x² - 2x - 5 ← is in standard form
with a = - 1 and b = - 2, thus equation of axis of symmetry is
x = -
= - 1
Equation of axis of symmetry is x = - 1