A) The dimensions are (x+10) by (x+10).
B) The perimeter is given by 4x+40.
C) The perimeter when x is 4 is 56.
The quadratic can be factored by finding factors of <em>c</em>, the constant, that sum to <em>b</em>, the coefficient of <em>x</em>. Our <em>c</em> is 100 and our <em>b</em> is 20; we want factors of 100 that sum to 20. 10*10=100 and 10+10=20, so those are what we need. This gives us (x+10)(x+10 for the factored form.
Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10). Using the distributive property we have 4*x+4*10=4x+40.
To find the perimeter when <em>x</em>=4, substitute 4 into our perimeter expression:
4*4+40=16+40=56.
Answer:
x=2, z=62
Step-by-step explanation:
Since (14x+34) and (11x+96) are linear angles, their angle measures must add to 180 degrees. We can thus set up this equation:
14x+34+11x+96=180
25x+130=180
25x=50
x=2
Since z and (14x+34) are vertically opposite angles, their values must be equal. Thus:
z=14x+34=14(2)+34=28+34=62
We have a direct variation. Distance, D, varies directly as time, t.
So D = Kt where K is the constant. In this case, speed. So D = Kt is our constant of variation.
If D = 150 miles and t = 4 hours
Then we have 150 = K (4)
K = 150/4 = 37.5. The constant of variation is 37.5.
If you keep traveling at a constant speed K = 37.5 and D = 200. We have
200 = 37.5 * t
t = 200/37.5 = 5.333 hours.
Answer:
v=58.33in^3
Step-by-step explanation:
v=a^2h/3=5^2×7/3=58.33333 in^3
