Answer:
Fill the gaps in this sequence:
25 36 <u>49</u> 64 81 <u>100</u>
This sequence is the numbers 5, 6, 7, 8, 9, and 10 squared.
Work out the cube root of 343, then square it.
<u>49</u>
Since 7 cubed equals 343, then 7 squared is 49.
When you subtract one square number from another the answer is 7.
What are the two square numbers?
<u>16</u> and <u>9</u>
These are the only squares that fit the criteria.
Write down a number you can square to give an answer bigger than 200 but smaller than 300.
<u>15, 16, 17</u>
All of those answers work. 15² is 225, 16² is 256, and 17² is 289. You can choose any of them to enter in and it should work.
Ok <span>One side would have a length of 4, another side would have a length of 5, and then we can use the Pythagorean Theorem to find the length of the hypotenuse. a^2 + b^2 = c^2 </span>
<span>a=4; b=5; </span>
<span>4^2 + 5^2 = c^2 </span>
<span>16 + 25 = c^2 </span>
<span>41 = c^2 </span>
<span>c = √41 </span>
<span>Therefore, the hypotenuse has a length of √41. </span>
<span>To find the sinθ, you take the opposite over the hypotenuse. </span>
<span>Remember when you drew out the triangle? θ is the angle connected to the origin. The opposite side is b, which is 5. </span>
<span>Your answer is 5/√41. </span>
<span>This answer must be simplified since there is a radical in the denominator. To simplify, you can just multiply the numerator and the denominator by √41/√41 (since this is equivalent to 1). </span>
<span>This gives you the answer
</span>
The slope is 1/4 and the y-intercept is 2
3x^2 - 7x + 12 = 0 ....subtract 12 from both sides
3x^2 - 7x = -12 ....divide both sides by 3 to get x^2 by itself
x^2 - 7/3x = -4
His work is not accurate because he divided the second term by 4 instead of 3.
