<u>Given</u>:
The height of an object project upward is given by the polynomial
where t represents the time, in seconds.
We need to determine the height after t = 2.5 seconds.
<u>Height of an object:</u>
The height of an object after 2.5 seconds can be determined by substituting t=2.5 in the polynomial, we get;
Simplifying, we get;
Thus, the height of an object is 140 feet.
Answer:
A) y = 1/3x + 4
B) y = 1/2x - 9
Step-by-step explanation:
A) In order to find this, we must first solve the initial equation for y to get the slope.
-x + 3y = 6
3y = x + 6
y = 1/3x + 2
Now we know the slope to be 1/3 since parallel lines have the same slope. So we take this slope and the point and use point-slope form to find the equation.
y - y1 = m(x - x1)
y - 5 = 1/3(x - 3)
y - 5 = 1/3x - 1
y = 1/3x + 4
B) To find this line, we again have to find the slope of the initial equation by solving for y.
2x + y = -4
y = -2x - 4
Now we know our new slope to be 1/2. This is because perpendicular lines have opposite and reciprocal slopes. We can use this and the point to solve in the same way.
y - y1 = m(x - x1)
y - - 8 = 1/2(x - 2)
y + 8 = 1/2x - 1
y = 1/2x - 9
The shortest leg=2*hypotenuse/3
hypotenuse^2=4*hypotenuse^2/9 + 5hypotenuse^2/9
the longest leg is V5/3* hypotenuse
Answer:
x = √(28), or x = 5.292
Step-by-step explanation:
First you distribute the square to the values inside of the parentheses. so it ends up looking like this
5(x^2 - 25) - 9 = 6
add 9 to both sides
so its 5(x^2 - 25) = 15
Then distribute the multiplication of 5 to the contents within the parentheses
so it would be 5x^2 - 125 = 15
add 125 to both sides
you get 5x^2 = 140
divide by 5 on both sides
you get x^2=28
then, take the square root of both sides to reverse the square
√(x^2)=√(28)
and in the end you get x=5.292
but √(28) will probably be fine if your teacher doesn't want u to solve for that kind of stuff.
Answer:
y intercept is 0
Step-by-step explanation:
y=2/3x+b
if x=0 y=0 (0,0)
if x=3, y=2 (3,2)
y=2/3x+b
2=2+b
b=0
