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2 years ago

I need help I don't know how to do this

Mathematics

1 answer:

Sidana [21]2 years ago

5 0

Answer:

$x\geq 23$

Step-by-step explanation:

This equation can simply be solved by adding 15 to both sides.

To graph, draw a closed point at the center of the line and darken the area to the right of it.

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1/4 divided by 3 solve by using tape diagram

docker41 [41]

Reduce the expression if possible, by canceling the common factor the answer is 1/12 and the decimal form would be 0.083 hope i helped

5 0

3 years ago

Find the distance between a point (– 2, 3 – 4) and its image on the plane x+y+z=3 measured parallel to a line

Ber [7]

Answer:

The distance is:

$\displaystyle\frac{3\sqrt{142}}{10}$

Step-by-step explanation:

We re-write the equation of the line in the format:

$\displaystyle\frac{x+2}{3}=\frac{y+\frac{3}{2}}{2}=\frac{z+\frac{4}{3}}{\frac{5}{3}}$

Notice we divided the fraction of y by 2/2, and the fraction of z by 3/3.

In that equation, the director vector of the line is built with the denominators of the equation of the line, thus:

$\displaystyle\vec{v}=\left< 3, 2, \frac{5}{3}\right>$

Then the parametric equations of the line along that vector and passing through the point (-2, 3, -4) are:

$x=-2+3t\\y=3+2t\\\displaystyle z=-4+\frac{5}{3}t$

We plug them into the equation of the plane to get the intersection of that line and the plane, since that intersection is the image on the plane of the point (-2, 3, -4) parallel to the given line:

$\displaystyle x+y+z=3\to -2+3t+3+2t-4+\frac{5}{3}t=3$

Then we solve that equation for t, to get:

$\displaystyle \frac{20}{3}t-3=3\to t=\frac{9}{10}$

Then plugging that value of t into the parametric equations of the line we get the coordinates of the intersection:

$\displaystyle x=-2+3\left(\frac{9}{10}\right)=\frac{7}{10}\\\displaystyle y=3+2\left(\frac{9}{10}\right)=\frac{24}{5} \\\displaystyle z=-4+\frac{5}{3}\left(\frac{9}{10}\right)=-\frac{5}{2}$

Then to find the distance we just use the distance formula:

$\displaystyle d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

So we get:

$\displaystyle d=\sqrt{\left(-2-\frac{7}{10}\right)^2+\left(3-\frac{24}{5}\right)^2+\left(-4 +\frac{5}{2}\right)^2}=\frac{3\sqrt{142}}{10}$

3 0

3 years ago

Which expression is equivalent to 2/3(6x+3)

irina1246 [14]

2/3(6x+3)
2/3 x 3(2x+1)
2(2x+1)
4x+2
Therefore your answer is 4x+2

5 0

2 years ago

A triangle is classified as an equilateral triangle when it has

Doss [256]

C. three sides with the same length

7 0

3 years ago

Read 2 more answers

Which is a solution for the equation y = 4x + 3?

yanalaym [24]

Point are set up (x,y) you sub the number for x into the equation and see if you get the number for y.
y=4x+3
y=4 (5)+3
y=20+3
y=23
so A isn't the answer

y=4 (17)+3
y=68+3
y=71
B isn't the answer

y=4 (4)+3
y=16+3
y=19
and because 4 is the x value for c and d and there can only be 1 y value for each x you're answer is C because when x=4 y =19 or (4,19)

3 0

3 years ago

I need help I don't know how to do this​

I need help I don't know how to do this