Answer:
firt thing i would do is take out things that are alike but if these are the options then i would a) multiply the first equation by -1
Answer:
The second number is 61
Step-by-step explanation:
It's implied that the first integer is odd.
Since the consecutive intergers are odd, use an equation that looks like this:
(x+2) + (x+2) + (x+2) = 183 and simplify
*If you add 2 to an odd number, you get the next odd number. That's why I used 2*
3x + 6 = 183 → 3x = 177 → x = 59 which means the first integer is 59. The consecutive integers is 59, 61, 63.
<span> Sketch this, assuming the Earth is a sphere with radius R, so a plane slice through the periscope, ship and center of the Earth is a circle of radius R. Draw the lines out from the center (O) of the circle to point A at the top of the periscope and point B at the top of the ship. so that line AB is tangent to the circle at point C. That makes triangles OAC and OBC right triangles, each having the right angle at C. </span>
<span>From the problem, the lengths OA = R+5, OC = R, and OB=R+50. Label the lengths AC = p and BC= q, then use Pythagoras: </span>
<span>R² + p² = (R + 5)² </span>
<span>R² + q² = (R + 50)² </span>
<span>Solve those: </span>
<span>p² = (R + 5)² - R² = 10R - 25 </span>
<span>p = √(10R + 25) </span>
<span>q² = (R + 50)² - R² = 100R + 2500 </span>
<span>q = √(100R + 2500) </span>
<span>Find a good value for the radius R (in ft. units!) and calculate. The distance from periscope top to ship top is (p + q) feet. Convert that to miles for your answer.</span>
Here is the graph equivalent
This is an example of difference of two squares, because 49 is a squared number. Thus, you can write it in the form, (a + b)(a - b).
Thus, [(x - 3) + 7][(x - 3) - 7] = 0
(x + 4)(x - 10) = 0
And the zeros are at: x = -4, 10
