Answer:
x = 10
BD = 74
Step-by-step explanation:
Find x by setting 3x+7 equal to 37. Solve for x by subtracting 7 on both sides then divide by 3 to get x=10.
Since 37 is half of AC, multiply that by 2 to find AC or BD, which are the exact same length of 74.
Answer:
h = 61.25 m
Step-by-step explanation:
It is given that,
The initial velocity of the ball, v = 60 m/s
It is thrown from a height of 5 feet, 
We need to find the maximum height it reaches. The height reached by the projectile as a function of time t is given by :
Putting all the values,
.....(1)
For maximum height, put
Put t = 1.875 in equation (1)
So, the maximum height reached by the ball is 61.25 m.
Answer:
110
Step-by-step explanation:
y = 11/6x where x is in minutes
there are 60 minutes in an hour
plug in 60 as x
11/6 *60 = 11*10 = 110
Answer:
16
Step-by-step explanation:
To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).
Therefore, we would have to first make the coefficient of x² to be equal to 1.
4x² + 24x + 8 = 32
We would simplify the equation;
4x² + 24x = 32 - 8
4x² + 24x = 24
Divide all through by 4;
x² + 8x = 24
The value to be added = (8/2)² = 4² = 16
x² + 8x + 16 = 8 + 16
x² + 4x + 4x + 16 = 24
x(x + 4) + 4(x + 4) = 24
(x + 4)² = 24
Taking the square root of both sides;
x + 4 = ± 4.9
x = -4 ± 4.9
x = -4 + 4.9 = 0.9
or
x = -4 - 4.9 = - 8.9
<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>
The ratio is 9:52. Meaning there is 9 crabs in the tide pool compared to all other invertebrates in the tide pool (including crabs). Crabs are also probably higher on the food chain because there is less of them, meaning they require more food then the other invertebrates.
Hope this helps!
