Answer;
X = 18: AD = 18
Step-by-step explanation:
Here, we want to find the measure of AD
From the given image;
AB = x + 3
AD = x
AC = 24 + 4 = 28
AE = 24
Substituting these values
we have ;
(x + 3)/x = 28/24
24(x + 3) = 28x
24x + 72 = 28x
28x - 24x = 72
4x = 72
x = 72/4
x =18
For the seagull to catch the crab, h(t)=g(t) so:
-16t^2+45=-13t+23 add 16t^2 to both sides
45=16t^2-13t+23 subtract 45 from both sides
16t^2-13t-22=0 using the quadratic equation:
t=(13±√1577)/32, since t>0
t=(13+√1577)/32 seconds
t≈1.65 seconds (to nearest hundredth of a second)
And the height that this occurs using either original equation is:
h((13+√1577)/32)≈1.59 ft (to nearest hundredth of a foot)
Answer:
Step-by-step explanation:
To complete the square, we first have to get our equation into 
form.
First we add 16x to both sides:
And now we subtract 62 from both sides.
We now have to add 
to both sides of the equation. b is 16, so this value becomes 
.
We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because 
and 
.
We can now take the square root of both sides.
We can now isolate x on one side by subtracting 8 from both sides.
So our solutions are
Hope this helped!
Answer:
Laurie's maximum depth can be represented using the expressions :
(20 × 3) = 60
(3 × 4 × 5) = 60
Step-by-step explanation:
Each depth level at which ears are checked = 5 feets
Each Depth level at which instruments are checked = 20 feets
For Laurie to check her instrument ;
Number of times ears are checked = 20/5 = 4 times
This means that for Laurie to have checked her instrument 3 times :
(4 × 3 × 5) = 60 feets
Therefore, Laurie's maximum depth can be expressed as (4 × 3 × 5) = 60 feets
Since both values are positive, it is in quadrant 1
