Answer:
(2x⁶ + 5y³)(2x⁶-5y³)
Step-by-step explanation:
I hope its correct..Cause Even I am not so good at maths..I tried
Answer:
D. (-10, -3), (-3, -10)
Step-by-step explanation:
For a question like this, it is easiest to check the offered answers in the given equations.
The first equation requires the sum of the x- and y-values to be -13. Adding two numbers is pretty easy, so you can rapidly determine that choice D is the only reasonable choice.
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<em>Comment on the process</em>
Answering multiple-choice questions is as much about test-taking skill as it is about math skill. First, you eliminate choices that don't answer the question.
Then you see if there is a way to identify the "correct" answer from the remaining "reasonable" answers. Often, that requires you only solve part of the problem, or you check for consistency between parts of the answer. (Here, if (a, b) is an answer, then (b, a) will be the other answer. Again, only choice D has that characteristic.)
You can see if the answer choices satisfy the details of the problem requirements.
Finally, <em>as a last resort</em>, you actually work the problem to determine your own answer to the question. (Here, you can substitute for y: x^2 +(-13-x)^2 = 109, then solve the quadratic, 2x^2 +26x +60 = 0 to find x=-3 or -10.) When you're done with this, you also need to <em>check your answer</em> against the above criteria.
Answer:
The height of the tent = 3 feet
Step-by-step explanation:
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?
Given:
Length of the tent = 6 feet
Width of the tent = 4 feet
Volume of the tent = 36
Solution:
Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:
where represents length, represents width and represents height of the prism.
Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.
Simplifying.
\frac{36}{12}=\frac{12h}{12}
3=h
∴ h=3
Thus, the height of the tent = 3 feet
You work out 500-82=418
Next you do 300-61=239
Finally you add 239+412=657
