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3 years ago

How many solutions does this equation have –3(4x – 16) = 12(24x + 60)

Mathematics

1 answer:

ruslelena [56]3 years ago

8 0

Answer:

This equation has one solution, and it's at (-2.24,0)

Step-by-step explanation:

When graphed, it results in a vertical line that crosses the x-axis at -2.24. Hope this helps =)

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A farmer has 280 acres of land on which he plans to plant two different crops, crop A and crop B. For each acre of crop A he pla

Umnica [9.8K]

Answer:

a+b<280

25a+30b less than or equal too 10000

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

write an equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4)

dimaraw [331]

The equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4) is $y - 3 = \frac{-7x}{2}+ \frac{21}{4}$

<h3>Solution:</h3>

Given that we have to write equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4)

Let us first find the slope of given line AB

The slope "m" of the line is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Here the given points are A(-2,2) and B(5,4)

$\text {Here } x_{1}=-2 ; y_{1}=2 ; x_{2}=5 ; y_{2}=4$

$m=\frac{4-2}{5-(-2)}=\frac{2}{7}$

Thus the slope of line with given points is $\frac{2}{7}$

We know that product of slopes of given line and slope of line perpendicular to given line is always -1

$\begin{array}{l}{\text {slope of given line } \times \text { slope of perpendicular bisector }=-1} \\\\ {\frac{2}{7} \times \text { slope of perpendicular bisector }=-1} \\ \\{\text {slope of perpendicular bisector }=\frac{-7}{2}}\end{array}$

The perpendicular bisector will run through the midpoint of the given points

So let us find the midpoint of A(-2,2) and B(5,4)

The midpoint formula for given two points is given as:

$\text {For two points }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right), \text { midpoint } \mathrm{m}(x, y) \text { is given as }$

$m(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Substituting the given points A(-2,2) and B(5,4)

$m(x, y)=\left(\frac{-2+5}{2}, \frac{2+4}{2}\right)=\left(\frac{3}{2}, 3\right)$

Now let us find the equation of perpendicular bisector in point slope form

The perpendicular bisector passes through points (3/2, 3) and slope -7/2

The point slope form is given as:

$y - y_1 = m(x - x_1)$

$\text { Substitute } \mathrm{m}=\frac{-7}{2} \text { and }\left(x_{1}, y_{1}\right)=\left(\frac{3}{2}, 3\right)$

$y - 3 = \frac{-7}{2}(x - \frac{3}{2})\\\\y - 3 = \frac{-7x}{2}+ \frac{21}{4}$

Thus the equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4) is found out

7 0

4 years ago

Pls help n hurry i will give brainliest

AlekseyPX

Answer: A) and B)

Step-by-step explanation:

So for the first one, a closed circle means that it includes the point and the graph proceeds in the positive direction. So it will be whatever number it starts on in the x axis is less than or equal to x.

The second one you find the distance it moves each second.

You do this by distance over time d/t. Then you divide the 408 by that number.

So 264cm / 11 seconds = 24 cm/sec

Then 408cm/ 24cm per sec = 17s

8 0

4 years ago

Which number has greatest absolute value?

Tju [1.3M]

Hey!

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Answer:

a) -20

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Solution and Explanation:

|-20| = 20

|0| = 0

|10| = 10

|-10| - 10

As we can see, the first option has the greatest absolute value.

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Hope This Helped! Good Luck!

6 0

3 years ago

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A rotation or turn always moves clockwise and never counterclockwise. True False

Dima020 [189]

Answer:

False

Step-by-step explanation:

It can go in any direction

7 0

3 years ago

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