Answer:
Step-by-step explanation:
Saving the long, drawn out derivation of the formulas to find the x and y coordinates of the directed point, suffice it to say that it is:
x coordinate: 
and
y coordinate: 
where x1, x2, y1, and y2 are the coordinates from the given points and a and b are the numbers in the ratio, namely a = 3 and b = 4. Filling in accordingly:
the x coordinate of the directed point is
which simplifies down to -6, and
the y coordinate of the directed point is
which simplifies down to -1.
The coordinate of the point is (-6, -1). Write that down so you don't forget it.
A) For the equation
, the slope is
.
Slope-intercept form is y = mx + b, where m is slope and b is the y-intercept. This means that if
, the slope is
.
B) Since this equation is in the same form, you just find what m is equal to.
Since
, that's the slope.
For the solution, set
equal to
, so it would be put together like this:
![y=[tex]- \frac{1}{2}x+3=2x-4\\ -\frac{1}{2}=2x-7\\ 1\frac{1}{2}x=-7\\ x=-4.66667](https://tex.z-dn.net/?f=y%3D%5Btex%5D-%20%5Cfrac%7B1%7D%7B2%7Dx%2B3%3D2x-4%5C%5C%20-%5Cfrac%7B1%7D%7B2%7D%3D2x-7%5C%5C%201%5Cfrac%7B1%7D%7B2%7Dx%3D-7%5C%5C%20x%3D-4.66667)
So your answer is
-4.667.
If there is a decimal, you usually round when graphing.
You would have to change the fifths to a different denominator
Answer:
From my understanding of the question its 104.58 for the first picture (8.3x3x4.2)
Step-by-step explanation:
All you need to do is multiply the length width and height. it will give you the volume of the object. For your understanding, you can try the second one as practice for these type of problems.
