The maximum product is 42. Numbers 6 and 7 yield this product.
Answer:
(a) v = 1536640/ m^2.
(b) (i) 1186 m/s.
(ii) 52.4g .
Step-by-step explanation:
(a) The equation is v = k / m^2 where k is the constant of variation.
When m = 49, v = 640 so 640 = k / 49^2
k = 640 * 49^2
= 1,536,640.
Therefore the relation is v = 1536640/ m^2.
(b) (i)
When m = 36g, the speed v = 1536640 / 36^2
= 1186 m/s.
(ii) When the speed is 560 m/s :-
560 = 1536640 / m^2
m^2 = 1536640 / 560
= 2744
mass m = √2744
= 52.4g
Answer:9
Step-by-step explanation:
Use the pythagorean theorem. 
We know both a and c, so it becomes
=
16+b^2=97=
97-16=b^2=
81=b^2=
9=b
your total would be $10 and you have 1 variable. so it would be ($2x) for the pounds of veggies, plus the 3.50 for the basket, equals $10. then solve for X from there
The Equation is y=+5
Why:
You want to find the equation for a line that passes through the point (-4,5) and has a slope of .
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was . So you can right away fill in the equation for a line somewhat to read:
y=x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-4,5). When x of the line is -4, y of the line must be 5.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 0 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,5).
So, why not plug in for x the number -4 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-4,5). y=mx+b or 5=0 × -4+b, or solving for b: b=5-(0)(-4). b=5.
