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hichkok12 [17]
3 years ago
5

Let y=3t+6 be a linear function representing the distance, in feet, from home for an ant t minutes after starting out from a loc

ation near it’s home. What does the number 3 represent in this function?
Mathematics
2 answers:
Marysya12 [62]3 years ago
6 0

Answer:

The y, in the equation, represents the total distance, in feet, from an ant t minutes after starting out from a location near its home. The 6 represents the the distance of the location where the ant starts traveling. The 3 represents the amount of feet covered in one minute. That's why when you increase the minute by one (experiment!!), the distance away from home increases by three, and that means that the ant is traveling at 3 ft/minute. (lol crazy)

3 = the ant's speed in ft/minute

dezoksy [38]3 years ago
5 0

The given equation is in the form

y = mx + b, where m is the slope and b the y-intercept.

The number 3 takes the place of m.

Thus, 3 is the slope.

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Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).
ale4655 [162]

Answer:

The required equation is:

y = -\frac{3}{2}x+9

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)

We will find the slope of given line segment first

m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}

Let m_1 be the slope of perpendicular bisector then,

m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}

Now the mid-point

(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

y = m_1x+b

Putting the value of slope

y= -\frac{3}{2}x+b

Putting the point (2,6) to find the y-intercept

6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9

The equation is:

y = -\frac{3}{2}x+9

7 0
3 years ago
Can someone please solve this with explanation?
Pepsi [2]

Answer: 67/9 or 7 4/9

Step-by-step explanation:

4 0
3 years ago
An 8×8×8 cm cube was painted red, and then broken up into small cubes with side lengths of 1 cm. How many small cubes have none
Alona [7]

Answer:

216

Step-by-step explanation:

If you just paint the surface of the cube, then the inside of the cube would not have any of their faces painted red.

Just looking at the cube from a side view, you would realize that there would be a smaller cube, 6 x 6 x 6 (not 7 since you have to account for both the top side and the bottom side), and so that is the answer, 6 ^ 3, which is 216.

8 0
3 years ago
Read 2 more answers
120 books increased by 55%
Novay_Z [31]

<span> To find 55% of 120 books, multiply 120 x .55  
Then add that answer to the original 120.</span>

120 + 55% = 186

6 0
3 years ago
Graph g(x)=-5|x+2|+2
Llana [10]
This is the graph for the equation, it crosses through points (0,-8) (-2,4) (-1.6,0) and its vertex is (-2,2)

Hope this helps !!

7 0
3 years ago
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