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3 years ago

A worm wriggled forward 4/5 of an inch in 3 minutes. At that rate, how far would the worm go in 1 minute?

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

8 0

Answer:

4/15 of an inch

Step-by-step explanation:

A worm wriggled forward 4/5 of an inch in 3 minutes.

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Hope this helps!

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Which linear function has the same y-intercept as the one that is represented by the graph? On a coordinate plane, a line goes t

Zolol [24]

The line which is having same y intercept as the line which passes through points (-4,0) and (0,3) is y=2x+3.

Given Points through which the line passes through are (-4,0) and (0,3)

We have to find the equation whose y intercept is equal to the y intercept of the line whose points given above.

First of all we have to find the y intercept of the line which passes through (-4,0) and (0,3). Equation of line is :

y-y1=(y2-y1)/(x2-x1)*(x-x1)

y-0=(3-0)/(0+4) *(x+4)

y=3/4(x+4)

y -intercept exists where x=0

put x=0

y=3

So the options are:

y=2x-4

y=2x-3

y=2x+3

y=2x+4

By putting the value of x in all options we will find

y=-4

y=-3

y=3

y=4

So the third option is correct.

Hence the line whose y-intercept matched with the given line is y=2x+3.

Learn more about line at brainly.com/question/13763238

#SPJ10

5 0

2 years ago

Which pairs of points would result in a line with a rate of change of 2:1? Select all that apply.

Helen [10]

Answer:

Options A, C, D are true.

Step-by-step explanation:

We have to choose the pair of points from that given in the attached file which will result in a line with a rate of change i.e. slope of 2:1 i.e. 2.

A. The points are (-4,-11) and (-2,-7).

Then the slope of the joining line is $\frac{-7-(-11)}{-2-(-4)} =2$

B. The points are (5,6) and (-5,12).

Then the slope of the joining line is $\frac{12-6}{-5-5} =-\frac{3}{5}$

C. The points are (0,-3) and (-4,-11).

Then the slope of the joining line is $\frac{-11-(-3)}{-4-0} =2$

D. The points are (0,-3) and (5,7).

Then the slope of the joining line is $\frac{7-(-3)}{5-0} =2$

Therefore, options A, C, D are true. (Answer)

7 0

3 years ago

On a coordinate plane, a line goes through points (2, 0) and (3, 3). This graph displays a linear function. Interpret the consta

mario62 [17]

Answer:

Rate of change = 3

Step-by-step explanation:

The rate of change is the slope.

Slope = 3

8 0

3 years ago

Read 2 more answers

What are the zeros of the quadratic function <br> y = 6x2 + 3x - 45

klasskru [66]

Answer:

l think

y= x^2

4 0

2 years ago

Read 2 more answers

Please help radical expression dividing

77julia77 [94]

$\bf \cfrac{\sqrt[4]{63}}{4\sqrt[4]{6}}\qquad 
\begin{cases}
63=3\cdot 3\cdot 7\\
6=2\cdot 3
\end{cases}\implies \cfrac{\sqrt[4]{3\cdot 3\cdot 7}}{4\sqrt[4]{2\cdot 3}}\implies \cfrac{\underline{\sqrt[4]{3}}\cdot \sqrt[4]{3}\cdot \sqrt[4]{7}}{4\sqrt[4]{2}\cdot \underline{\sqrt[4]{3}}}
\\\\\\
\cfrac{\sqrt[4]{3}\cdot \sqrt[4]{7}}{4\sqrt[4]{2}}\implies \cfrac{\sqrt[4]{3\cdot 7}}{4\sqrt[4]{2}}\implies \cfrac{\sqrt[4]{21}}{4\sqrt[4]{2}}$

$\bf \textit{now, rationalizing the denominator}\\\\
\cfrac{\sqrt[4]{21}}{4\sqrt[4]{2}}\cdot \cfrac{\sqrt[4]{2^3}}{\sqrt[4]{2^3}}\implies \cfrac{\sqrt[4]{21}\cdot \sqrt[4]{8}}{4\sqrt[4]{2}\cdot \sqrt[4]{2^3}}\implies \cfrac{\sqrt[4]{21\cdot 8}}{4\sqrt[4]{2\cdot 2^3}}\implies \cfrac{\sqrt[4]{168}}{4\sqrt[4]{2^4}}
\\\\\\
\cfrac{\sqrt[4]{168}}{4\cdot 2}\implies \cfrac{\sqrt[4]{168}}{8}$

and is all you can simplify from it.

so... all we did, was rationaliize it, namely, "getting rid of the pesky radical at the bottom", we do so by simply multiplying it by something that will raise the radicand, to the same degree as the root, thus the radicand comes out.

6 0

3 years ago