Factor 26r3s + 52r5 – 39r2s4. What is the resulting expression?
1 answer:
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Answer:
x = 14
y = 4
Explanation:
Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.
So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.
So we can write the equation x = y + 10.
Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.
So, we can write the equation 4y = x + 2.
Now we have the equations you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.
If you graph these two equations they'll intersect at the solution ( 14, 4 ). I'll include the graph in my images as well.
To check your answer, you can plug in x and y and see if the triangle sides end up being the same length. I did and it was correct.
Answer:
Step-by-step explanation:
This is something you learn in Geometry. Gotta love Geometry and all of its hundreds of rules for triangles and circles and all that good stuff!!
The rule for similar figures is
ratio of perimeter (one-to-one)-->area (square the one-to-one)-->volume (cube the one-to-one).
We are given area. You CANNOT CUBE THE AREA MEASURES TO GET TO THE VOLUME!! You have to find the one-to-one first and then go forward from there.
If the area is the one-to-one squared, then
The one-to-one is 3:2. To get to the volume now, cube those one-to-one values: