The Factorization of 121b⁴ − 49 is (11b^2 + 7)(11b^2 - 7).
The equation 121b⁴ − 49
To find the Factorization of 121b⁴ − 49.
<h3>
What is the factor of a^2-b^2?</h3>
The factor of a^2-b^2 is (a+b)(a-b)
We have write the given equation in the form of a^2-b^2
![= 121b^4 - 49\\= (11b^2)^2 - 7^2\\= (11b^2 + 7)(11b^2 - 7)](https://tex.z-dn.net/?f=%3D%20121b%5E4%20-%2049%5C%5C%3D%20%2811b%5E2%29%5E2%20-%207%5E2%5C%5C%3D%20%2811b%5E2%20%2B%207%29%2811b%5E2%20-%207%29)
Therefore the factor of the 121b^4 − 49 is (11b^2 + 7)(11b^2 - 7).
To learn more about the factor visit:
brainly.com/question/25829061
Answer:
<h2>
5</h2>
Step-by-step explanation:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(-5,1)\quad\implies\quad x_1=-5\,,\ \ y_1=1\\\\(-1,4)\quad\implies\quad x_2=-1\,,\ \ y_2=4\\\\d=\sqrt{(-1+5)^2+(4-1)^2}= \sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25}=5](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D%5C%5C%5C%5C%28-5%2C1%29%5Cquad%5Cimplies%5Cquad%20x_1%3D-5%5C%2C%2C%5C%20%5C%20y_1%3D1%5C%5C%5C%5C%28-1%2C4%29%5Cquad%5Cimplies%5Cquad%20x_2%3D-1%5C%2C%2C%5C%20%5C%20y_2%3D4%5C%5C%5C%5Cd%3D%5Csqrt%7B%28-1%2B5%29%5E2%2B%284-1%29%5E2%7D%3D%20%5Csqrt%7B4%5E2%2B3%5E2%7D%3D%5Csqrt%7B16%2B9%7D%3D%5Csqrt%7B25%7D%3D5)
Answer:
40
Step-by-step explanation:
Angle KPJ is going to have the same measure as Angle DPE. This problem is a bit tricky, but I'll try my best to explain it. A straight angle is basically just a straight line, and it equals 180 degrees. Angle FPG is a straight angle.
To find the measure of Angle KPJ, we first have to find the measure of angle DPE, and the way we're gonna do that is add together the other angles in the straight angle (which would be Angle FPD and Angle EPG) and then subtract that from 180 (measure of a straight angle).
That might have sounded a bit confusing, but that's the best way I could explain it. Now, let's add Angle FPD and Angle EPG.
105 + 35 = 140
Now, let's subtract that from 180.
180 - 140 = 40
We now know that the measure of Angle DPE is 40, and since it's equivalent to Angle KPJ, our answer is 40!
I know that was confusing, but I hope it helped a little bit! Have a lovely day!! :)
Answer: There were 525 pine trees.
Step-by-step explanation:
Given: Total trees = 1250
Percentage of oak trees = 32%
Percentage of birch trees = 26%
Since remaining trees are pine trees.
Percentage of pine trees = 100% - 32% - 26%
=42%
The number of pine trees = 42% of 1250
= 0.42 ×1250
= 525
Hence, there were 525 pine trees.