(-5,-4), (8,8) what are the answers for these

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

3 0

Answer:

(-5, -4) is -9

Step-by-step explanation:

hope this helps

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What is the equation of the line that passes through the point (2, -2) and has a<br> slope of -1/2?

yanalaym [24]

Answer:

Step-by-step explanation:

use the point-slope formula [y-y1 =m(x-x1) ] with the given info

for the point P=(x1,y1) =(2,-2) and the slople m = -1/2

plug those into the formula

y-(-2)= -1/2(x-2)

y+2= -1/2x + 1

y= -1/2x+1 - 2

y = -1/2x - 1

:) got it?

these are hard untill you get the idea of the two formulas

point-slope: y-y1 = m(x-x1) and

slope-intercept: y= mx+b

memorizing those will help a lot

3 0

2 years ago

Line segment YV of rectangle YVWX measures 24 units.

oksian1 [2.3K]

Answer: $YX=13.85\ units$

Step-by-step explanation:

<h3> The complete exercise is: "Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX?"</h3><h3> The missing figure is attached.</h3>

Since the figure is a rectangle, you know that:

$WV=YX\\\\YV=XW=24$

Notice that the segment YV divides the rectangle into two equal Right triangles.

Knowing the above, you can use the following Trigonometric Identity:

$tan\alpha =\frac{opposite}{adjacent}$

You can identify that:

$\alpha =30\°\\\\opposite=YX\\\\adjacent=YV=24$

Therefore, in order to find the length of the segment YX, you must substitute values into $tan\alpha =\frac{opposite}{adjacent}$ and then you must solve for YX.

You get that this is:

$tan(30\°)=\frac{YX}{24}\\\\(24)(tan(30\°))=YX\\\\YX=13.85$