A toddler takes off running down the sidewalk at 270 ft/min. One minute later, a worried mother runs after the child at 580 ft/min. After how many minutes will the mother overtake the toddler?


Answer 1
Answer: we know that in one minute the toddler is 2(270)=540 feet and mother is 580 so less than 1 minute

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Solve photo question, please. Mathematics.


Slope point form:
We need the slope "m" and a point (x₀,y₀)

we calculate the slope "m".
Given two points:
the slope "m" is:
m=(y₂-y₁) / (x₂-x₁)

In this case:
m=(11-10) / (6-4)=1/2

Now, we calculate the solpe point form.


we make the standard form
y-10=x/2 - 2

Lowest common multiple=2


Answer:  -x+2y=16

Does anyone know how to define percents


A percent is part of something, split into a hundred pieces. like fifty percent of forty is twenty.

A percent is something out of a hundred. Or a part out of a hundred.

Find the point-slope equation for the line that passes through the points (5,35) and (-6,-31). Use the first point in your equation.


\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{35})\qquad(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-31})\n\n\nslope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-31-35}{-6-5}\implies \cfrac{-66}{-11}\implies 6\n\n\n\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\n\cline{1-1}\ny-y_1=m(x-x_1)\n\n\cline{1-1}\end{array}\implies y-35=6(x-5)

Final answer:

The point-slope equation of a line can be found by calculating the slope and substituting the values into the point-slope formula. For the given points (5,35) and (-6,-31), the equation becomes y - 35 = m(x - 5).


The point-slope equation of a line, also known as the slope-intercept form, is given by the formula y - y1 = m(x - x1), where m represents the slope of the line and (x1, y1) represents the coordinates of a point on the line.

To find the equation for the line passing through the points (5,35) and (-6,-31), we can use the following steps:

  1. First, calculate the slope using the formula m = (y2 - y1) / (x2 - x1).
  2. Next, substitute the values of the slope (m) and one of the points ((x1, y1)) into the point-slope equation.
  3. Simplify the equation to get the final point-slope equation.

Using the point (5,35) as our reference, we can substitute x1 = 5 and y1 = 35 into the equation: y - 35 = m(x - 5).

Learn more about Point-Slope Equation here:



Explain how the expanded notation method is used to multiply 82 x 3


80 times 3 plus 2  up put 82 in expanded form and that would be 80,2    
2 can not be expanted and then you muliply either 2 and 2 or 2 and 80 which ever you do  you have to had what number you didnt use into the problem  

If the ratio of the area of circle A to the area of circle B is 2 : 1, then how many times larger is the circumference of circle A than the circumference of circle B?


area A / area B = 2 / 1; => radius A / radius B = √(2);
circumference of circle A / circumfereance of circle B =  radius A / radius B = √(2) => √(2)≈1.41;

Which of the following x-values makes the inequality -4x + 9 ≤ -23 true?


Step-by-step explanation:





x=[8,positive infinity )