The correct answer is: [D]: " 7.2 units" .
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Explanation:
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Use the Pythagorean theorem:
a² + b² = c² ;
in which: "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle); and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle; We wish to solve for "c" ;
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6² + 4² = c² ; Solve for "c" ;
↔ c² = 6² + 4² ;
= (6*6) + (4*4) ;
= 36 + 16 ;
= 52 ;
c² = 52 ;
Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ;
√(c²) = √52 ;
c = √52 ;
At this point, we know the 7² = 49 ; 8² = 64 ; so, the answer is somewhere between "7" and "8" ; yet closer to "7" ; so among the answer choices given;
The correct answer is: [D]: " 7.2 units" .
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However, let use a calculator:
c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
which corresponds to:
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Answer choice: [C]: " 7.2 units" .
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Answer:
2
Step-by-step explanation:
Basically I use rise over run, or rise ÷ run.
The rise is 4 and the run is 2 in the section I chose. 4÷2 is equal to 2, so the rate of change is 2 feet per second.
1. D
Y=x+4.
That’s the answer
It helps to think of a simpler problem. Let's say mpg is 20 and 10% higher on a smooth road.
How many miles will you get with one gallon on a regular road?
How many more miles will you get on a smooth road? 10% more, right? How much is that?
OK - so you've now solved a simpler problem. Use the exact some process to solve your, more complicated, problem.
We can use substitution to solve this equation in here y=6 and x=0 .
Hope this help you !
