Answer:
3) 12 yd^2
4) 27.5 m^2
5) 48 ft^2
6) 96 m^2
Step-by-step explanation:
3) 4(2x3x0.5) = 12 yd^2
4) (9x5)-(0.5)(7x5) = 27.5 m^2
5) (10x6)-(6x2) = 48 ft^2
6) 12x8 = 96 m^2
Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
(1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:
We can find the base by solving equation (1) for b:
Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:
Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!
Answer:
10
Step-by-step explanation:
When we simplify we get
Then we continue to factor to get:
We then see that we can factor into
we then do the prime factorization of 847, which i think is, . we have to find the numbers that multiply to 847 and then plug them into z+5, 3x=1,2y+7.
It has to be a positive, non-negative integer, right?
We also see that 3x+1=11 so we see that x=10/3 (which wont work).
So 3x+1=7, so x=2.
So 11 has to be in another term. It has to be in 2y+7=11 so y=2
for the last term we get z+5=11 so z=6
2+2+6=10
Hope this helps and if you want please consider giving me brainliest. :)
Answer:
(-1,8)
(4,-27)
Step-by-step explanation:
y+7x=1
Let x = -1 and find y
y+7(-1)=1
y -7 =1
Add 7 to each side
y-7+7 = 1+7
y = 8
(-1,8)
Let x = 4 and find y
y+7(4)=1
y +28 =1
Subtract 28 from each side
y+28-28 = 1-28
y = -27
(4,-27)
Answer:
0.1257486
Step-by-step explanation: