Answer:
D
Step-by-step explanation:
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hope it helps
Time it took Hector to complete 18 miles is given by 18 / 12 = 1.5 hours.
Let the time when Wanda will catch up to Hector be t, then, the distance covered by Hector at the time they meet is 18 + 12t and the distance covered by Wanda at the time they meet is 16t.
Then, 18 + 12t = 16t
16t - 12t = 18
4t = 18
t = 18 / 4 = 4.5
Therefore, Wanda will catch up with Hector after 4.5 hours.
The mathematical functions (equations) are matched to their graph line respectively as follows:
- y = 960 - 78x: purple straight line.
- y = 8·3^x: violet line curve that slopes to the left.
- y = 960·(1/2)^x: green line curve that slopes to the right.
<h3>What is a linear function?</h3>
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate. Mathematically, a linear function is given by this equation:
y = mx ± c.
<h3>What is an exponential function?</h3>
An exponential function can be defined as a type of mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:
f(x) = keˣ
Next, we would match each of the mathematical functions (equations) to their graph line respectively as follows:
- y = 960 - 78x: purple straight line.
- y = 8·3^x: violet line curve that slopes to the left.
- y = 960·(1/2)^x: green line curve that slopes to the right.
Read more on graphs here: brainly.com/question/24298987
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Answer:
first box is parallel
Second box perpendicular
Third box neither
Fourth box neither
Fifth box perpendicular
Sixth box is parallel
Why? Slopes of parallel lines are the same. Slopes of perpendicular lines are opposite reciprocals. (Example slope=1/2 a perpendicular line would be -2/1). Neither is just a when it’s not either parallel or perpendicular.
Hope this helps
6/9 is in 2/3 all you do is multiply numerator and denominator by 3
