The slope of the line below is -4. Which of the following is the point-slope
1 answer:
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Answer:
Step-by-step explanation:
In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.
Therefore, we have the following equation:
Solving, we get:
Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.
We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.
Using the Pythagorean theorem to verify our answers:
Answer:
x⁴+2x³ +3x²+6x +12 r.
Step-by-step explanation:
You can do this through synthetic division. It is a shorthand way of dividing polynomials.
First you need to make your divisor equal to zero so you can solve for what goes into the division box:
x - 2 = 0 → x = 2
The next step is to arrange your polynomials in descending powers. All missing terms, you will put in a zero.
x⁵ - x³ + (-5) → x⁵ + 0x⁴- x³ + 0x² + 0x + (-5)
Now you can proceed to synthetic division. Make an upside down division box with the divisor outside and the coefficients of the dividend listed, along with their sign. Leave a space below the divident
+2 | +1 0 -1 0 0 -5
|<u> </u>
Next you bring down the first coefficient:
+2 | +1 0 -1 0 0 -5
|<u> </u>
+1
Then you multiply it by the divisor and write the product under the next coefficient:
+2 | +1 0 -1 0 0 -5
|<u> +2 </u>
+1
Next add the column and put the sum below it:
+2 | +1 0 -1 0 0 -5
|<u> +2 </u>
+1 +2
Then multiply again and repeat until you reach the last coefficient:
+2 | +1 0 -1 0 0 -5
|<u> +2 +4 +6 +12 +24 </u>
+1 +2 +3 +6 +12 +19
Now that you have your results, add in the x and their powers. The powers will start with the highest power but 1 less than the dividend. Since the dividend's highest power is 5, then the quotient's highest power will be 4. Then write it in descending order :
+1x⁴ +2x³ +3x² +6x +12 +19
Now the last coefficient is your remainder. So your results will be:
x⁴+2x³ +3x²+6x +12 r.