Answer:
<em>It can also be expressed as 35/14.</em>
Step-by-step explanation:
<u>Equivalent Ratio</u>
A ratio is a relation between two numbers a, b in the format a:b and it's equivalent to the division a/b.
Since it's equivalent to a division or a fraction, it can be simplified or amplified by multiplying or dividing both sides by the same number.
The ratio 5:2 can be amplified by multiplied by 7 as follows:
5*7:2*7 = 35:14.
It can also be expressed as 35/14.
Standard form for equations is ax + by = c. So all we have to do is transfer this equation into standard form. But, in standard form, there can also be no denominators, so our first step is to multiply each side of the equation by 5 to get rid of all denominators. The equation becomes 5y = 3x + 20. Now we need to get 20 on one side, which we can do by subtracting 3x from each side. The equation becomes -3x + 5y = 20, giving us our final answer of -3x + 5y = 20.
Vertex form of the equation:
y = a ( x - h )² + k;
15 = a ( 0 - 4 )² - 1
15 = 16 a - 1
16 a = 16
a = 16 : 16
a = 1
After that we have to transform the equation to the standard form:
y = ( x - 4 )² - 1
y = x² - 8 x + 16 - 1
y = x² - 8 x + 15
Finally we have to find the zeroes:
x² - 8 x + 15 = 0
x² - 5 x - 3 x + 15 = 0
x ( x - 5 ) - 3 ( x - 5 ) = 0
( x - 5 ) ( x - 3 ) = 0
x = 3, x = 5
Answer:
( x 1, y 1 ) ; ( x 2 , y 2 ) = ( 3, 0 ) ; ( 5 , 0 )
71.3 miles
14.25 is the average speed for the entire trip
Answer:
What is the question
Step-by-step explanation:
