Answer:
The fraction that represents the decimal 0.12 is 3/25
Step-by-step explanation:
step 1: find the place value of the last digit in 0.12
Since they are 2 digits in 0.12 the place value of last digit is the 100 th, therefore 0.12 is the same as 12/100
step 2: simplify 12/100 by dividing both the denominator and numerator by 4
that is <u>1</u><em><u>2 divide by 4 = 3 and 100 divide by 4 =25</u></em>
therefore the fraction = 3/25
Okay I think that a little confusing
The distance formula as given in the image can be calculated based on the Pythagorean theorem.
The Pythagorean theorem states that the sum of the opposite square and the adjacent square equals the hypotenuse square.
In the diagram given
![\begin{gathered} Opposite=(x_2\text{-}x_1\text{)} \\ Adjacent=(y_2-y_1\text{)} \\ \text{Hypotenuse}=\text{ d} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20Opposite%3D%28x_2%5Ctext%7B-%7Dx_1%5Ctext%7B%29%7D%20%5C%5C%20Adjacent%3D%28y_2-y_1%5Ctext%7B%29%7D%20%5C%5C%20%5Ctext%7BHypotenuse%7D%3D%5Ctext%7B%20d%7D%20%5Cend%7Bgathered%7D)
Applying the Pythagorean theorem,
![\begin{gathered} \text{Hyp}^2=Opp^2+Adj^2 \\ d^2=(x_2\text{-}x_1)^2+(y_2-y_1)^2 \\ d=\sqrt[]{(x_2\text{-}x_1)^2+(y_2-y_1)^2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BHyp%7D%5E2%3DOpp%5E2%2BAdj%5E2%20%5C%5C%20d%5E2%3D%28x_2%5Ctext%7B-%7Dx_1%29%5E2%2B%28y_2-y_1%29%5E2%20%5C%5C%20d%3D%5Csqrt%5B%5D%7B%28x_2%5Ctext%7B-%7Dx_1%29%5E2%2B%28y_2-y_1%29%5E2%7D%20%5Cend%7Bgathered%7D)
Therefore,
The distance formula can be calculated based on the Pythagorean theorem.
Slope intercept: y = mx + b
2x = 2y - 10
2y = 2x + 10
Divide by 2
Y = x + 5
Answer:The Total distance covered by the car is 875m
In the given scenario, it is the area under the speed curve, the straight line. Area = 625 + 250 = 875m.
Step-by-step explanation: