Answer:
h = 5
Step-by-step explanation:
h/2+1/2=3
Multiply each side by 2 to get rid of the fractions
2(h/2+1/2)=3*2
h+1 = 6
Subtract 1 from each side
h+1-1 = 6-1
h = 5
Answer:
tons of high steel and tons of low steel
Step-by-step explanation:
Let x be the number of tons of high grade steel and y be the number of tons ow low grade steel needed.
In x tons of high grade steel there are
tons of iron
tons of magnese
In y tons of low grade steel there are
tons of iron
tons of magnese
NASA orders 500 tons of steel, so
and specifies that it must be in the proportion 80% iron and 20% magnese, so
From the first equation,
Substitute it into the second equation:
I'm not sure if I will be correct but, I hope this helps.
A. 10^2
B. 10^6
c. 10^9
D. 10^15
*^ means the exponent *
(a) If lies on both planes, then
and at the same time
(b) A plane with normal vector containing the point can be written in the form
Expanding the left side, we see that the components of correspond to the coefficients of . So the normal vector to is .
(c) Similarly, the normal to is .
(d) The cross product of any two vectors and is perpendicular to both of the vectors. So we have
(e) Solve the two plane equations for .
By substitution,
Let . Then and
Then the intersection can be parameterized by equations
for .
We can also set or first, then solve for the other variables in terms of the parameter , so this is by no means a unique parameterization.