Part A:
Express the given number of hours and velocities of the cyclist as ordered pairs. The time (number of hours) can be our abscissa (x-coordinate) and the velocities can be our ordinate (y-coordinate). The coordinates are therefore (2, 18) and (4, 4). The equation that can be formed in this is established through the two-point equation.
(y - y₁) = ((y₂ - y₁)/(x₂ - x₁))(x - x₁)
Substitute the known variables.
(y - 18) = ((4 - 18)/(4 - 2))(x - 2)
Simplifying the equation,
y - 18 = -7(x - 2)
y = -7x + 32
<em>ANSWER: y = -7x + 32
</em>Part B: This can be graph in the Cartesian plane and numbers 1 to 8 can be substituted to y and take note of the ordered pairs for each point. The slope of the line should be -7 and the y-intercept is 32.<em>
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x=8 ggggggggggggggggggggggggggggggggggg
A D and b.............................................
First option : 12 is not a factor of 30
Step-by-step explanation:
We are asked to find if the given choices are a factor of 30 or not.
There are two methods to check whether a number is factor of another or not.
1. First states that we should find the factors of the number and then check if the given number exists in the factors or not.
2. we can divide the number by factor, if the division is complete without any remainder, then the divisor is a factor.
So,
for 12, we will divide 30 by 12
=
The quotient should be a whole number in order for 12 to be factor of 30. as the quotient is not a whole number, 12 is not a factor of 30
Keywords: Factors, division
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