Answer:
x = -1
y = -1
Step-by-step explanation:
This is a system of equations- the set up of the problem lends well to using the elimination method. There are always many ways of solving a system of equations, both in methods and different strategies within each method. The problem isn't necessarily complete but I can assume you're being asked to solve for x and y values.
divide the first equation by -2. this means we can use elimination to cancel out the y value, and is also our simplest option (rather than multiplying the second equation by -2.
-2x + 20y = -18 --> x - 10y = 9
x - 10y = 9
8x + 10y = -18
Using the elimination method to essentially add the parts of the equations together, this comes out to 9x = -9 , meaning x = -1 .
We can then return to our original equations, and substitute -1 for x (either equation will work, but the second one is simpler and therefore the better option).
8 (-1) +10y = -18
-8 + 10y = -18
10y = -10
y = -1
CHECKING
Substitute both x and y values back into the original equations to check them. the sides should be equal if our values are correct.
-2 (-1) + 20 (-1) = -18
Our first equation works: 2 - 20 = -18
8 (-1) + 10 (-1) = -18
The second equation works as well: -8-10= -18
Answer:
The answer is
<h2>21.45 g/cm³</h2>
Step-by-step explanation:
The density of a substance can be found by using the formula
From the question
mass of platinum = 214.5 g
volume = 10 cm³
It's density is
We have the final answer as
<h3>21.45 g/cm³</h3>
Hope this helps you
Answer:
-2
Step-by-step explanation:
First, you need to find the equation.
f(x) = -3x + b
Now we need to find the y-intercept.
f(x) = -3x + b
f(-9) = -3(1) + b
-9 = -3 + b
-6 = b
f(x) = -3x - 6
The zero of f means that f(x) = 0
f(0) = -3x - 6
f(6) = -3x
x = -2
9514 1404 393
Answer:
15.71 units
Step-by-step explanation:
The arc length is given by the formula ...
s = rθ
where r represents the radius, and θ represents the central angle in radians.
The angle of 60° is π/3 radians, so the arc length is ...
s = 15(π/3) = 5π ≈ 15.71 . . . units
LN ≈ 15.71 units
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<em>Note</em>: if you use 3.14 for π, you will get 15.70.
