Answer:
<h2>The graph of y = 2x² + 5x + 9 has zero x-intercepts.</h2>
Step-by-step explanation:
x-intercepts are for y = 0.
Put y = 0 to the equation y = 2x² + 5x + 9:
2x² + 5x + 9 = 0
Calculate the discriminant of quadratic equation ax² + bx + c = 0:
Δ = b² - 4ac
if Δ < 0, then an equation has no solution
if Δ = 0, then an equation has one solution
if Δ > 0, then an equation has two solution.
2x² + 5x + 9 = 0
a = 2, b = 5, c = 9
Δ = 5² - 4(2)(9) = 25 - 72 = -47 < 0 - no solution
Let the unknown angle be x.
That is
sin x = 4/5
cos x = 3/5
By drawing a right triangle in the first quadrant,
hypotenuse = 5
Adjacent side = 3
opposite side = 4
That is tan x = 4/3
From the calculator,
x = arctan(4/3) = 53 deg (nearest integer)
Answer: 53 deg. (nearest integer)
Answer:
Step-by-step explanation:
step 1
Find the circumference of the wheel
The circumference of a circle is equal to
we have
substitute
assume
step 2
we have that
The speed of the car is 60 miles/hour
Convert the speed to inches/minute
step 3
Remember that
The circumference of the wheel subtends one revolution
so
Convert the speed to rev/min
