A = lw
P = 2l +2w
20 = 2l + 2w.
We express the length using (1).
2l = 20 - 2w
l = 10 - w.
We write the area using the width and length expression using width.
A = w(10 - w).
A = 10w - w2 .
The relationship of the area is quadratic. It has a max value that is where the vertex of the parabola is. The vertex is the average of the two zeros of the equation. We have
w1 = 0
and
w2 = 10.
1/2 (0 + 10) = 5 feet.
Martha will have largest area garden if (l = w = 5 feet).
A = 5x5 = 25 ft2
Note, if l = 4 and w =6,
A = 4x6 =24 ft2.
I'm going to assume that you meant 450kg for the combined weight, 190kg more and 3 Llamas. I'm pretty sure Llamas and Okapis don't weigh 450450450kg (that's 993,073,252 pounds). :)
x= Okapi weight
y= Llama weight
EQUATIONS:
There are 2 equations to be written:
1) 450kg is equal to the weight of one Okapi and one Llama
450kg= x + y
2) The weight of 3 llamas is equal to the weight of one Okapi plus 190kg.
3y=190kg + x
STEP 1:
Solve for one variable in one equation and substitute the answer in the other equation.
450kg= x + y
Subtract y from both sides
450-y =x
STEP 2:
Substitute (450-y) in second equation in place of x to solve for y.
3y=190kg + x
3y=190 + (450-y)
3y=640 -y
add y to both sides
4y=640
divide both sides by 4
y=160kg Llama weight
STEP 3:
Substitute 160kg in either equation to solve for x.
3y=190kg + x
3(160)=190 + x
480=190 + x
Subtract both sides by 190
290= x
x= 290kg Okapi weight
CHECK:
3y=190kg + x
3(160)=190 + 290
480=480
Hope this helps! :)
Answer:
Step-by-step explanation:
The formula for circumference is given by . Setting this equal to the circumference in the problem, we can find the radius of the sphere:
Now we can use the formula for the surface area of a sphere:
Surface area of a sphere:
Using :
Answer:
x and y vertex is (-2,-9)
and the x-intercept(s): (1,0), (-5,0)
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D