Answer:
(0, 8 )
Step-by-step explanation:
The y- intercept is where the graph crosses the y- axis
The graph crosses the y- axis at 8 with coordinates (0, 8 )
Based on the equation of the function of the height of the building, it takes the man 44.7 seconds to fall from the top
<h3>How to determine how long it takes the math man to fall?</h3>
The function of the height where the man falls is a quadratic function, and the equation of the function is given as:
d = t^2 * 0.25
The height of the building is 500
This means that the value of d is 500.
So, we have;
d = 500
Substitute 500 for d in the equation d = t^2 * 0.25
500 = t^2 * 0.25
Divide both sides of the above equation by 0.25
500/0.25 = t^2 * 0.25/0.25
Evaluate the quotient in the above equation
t^2 = 2000
Take the square root of both sides in the above equation
√t^2 = √2000
Evaluate the exponent
t = 44.7
Hence, it takes the man 44.7 seconds to fall
Read more about quadratic functions at:
brainly.com/question/12446886
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Solve the following system using elimination:
{4 x - 3 y = 8 | (equation 1){-10 y = -11 | (equation 2)
Multiply equation 2 by -1:
{4 x - 3 y = 8 | (equation 1)
{0 x+10 y = 11 | (equation 2)
Divide equation 2 by 10:
{4 x - 3 y = 8 | (equation 1)
{0 x+y = 11/10 | (equation 2)
Add 3 × (equation 2) to equation 1:
{4 x+0 y = 113/10 | (equation 1)
{0 x+y = 11/10 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 113/40 | (equation 1)
{0 x+y = 11/10 | (equation 2)
Collect results:
Answer: {x = 113/40
{y = 11/10
Answer:
x = 56.
Step-by-step explanation:
7/8 = x/64
Cross multiply:
8x = 7*64
8x = 448
x = 448 /8
x = 56.