Answer:
By factoring our 5 you get, 5(2x^2y-3xy^2)
Answer: 1/8
Step-by-step explanation:
Hypotenuse = √97
One leg = 4
By Pythagoras theorem, second leg² = (√97)² - 4²
= 97 - 16 = 81
So second leg = 9
Area of triangle = 4 x 9 / 2 = 18 sq inch
One sq foot = 144 sq inch
So required fraction = 18/144 = 1/8
A hyperbola with a center at (0, 0) can be defined as x²/a² − y²/b² = ±1.<span>
</span>The statement "<span>The symmetry of a hyperbola with a center at (h, k) only occurs at y = k" </span>is false, because a hyperbola have many different orientations.
It doesn't have to be symmetric about the lines y = k or x = h.
I don’t wanna give the exact answer, i want to help you and lead you in the right place so you know the concept and process if a similar question is on an assessment. basically, the set of equations is set up for substitution method. we can agree that y equals 3x-3. so in the second equation, instead of writing “2y” you would SUBSTITUTE the y for 3x-3. so the equation would be 2(3x-3)-x=4. do the distributive property. once you get the equation after doing the distributive property, you solve for x using your algebra skills from previous units (cancel out x’s, for instance). your answer is your x coordinate. in order to find your y, you substitute whatever number you got for x and plug it in to one of the equations, doesn’t matter which. you will then solve for Y using your algebra skills you learned from previous units. after solving, you should get what y=. now you put the number in coordinate pair form which is (x,y)
Answer:
k = 9.64
Step-by-step explanation:
given data
workers w = 305
time t = 2 hour
produce widgets N = 5880.4
solution
we know that here
N ∝ w × t .....................1
when we remove directly proportional so here k constant
so equation will be
N = k × w × t .....................1
put here value and we get
5880.4 = k × 305 × 2
solve it we get k
k = 9.64
