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
GCF=1
LCM=42.
hope this helps
We have to use pythagorean theorem. The equation is
so we plug in the numbers (hypothenuse is always C in the equation)
now we solve:
Exponents
Subtract
a=6 Square Root
x=6 Answer
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Question from Amanda, a parent:
what is the area of a circle with a circumference of 3000 metres?
Amanda,
The area of a circle is given by the formula A = π r2, where A is the area and r is the radius. The circumference of a circle is C = 2 π r.
If we "solve for r" in the second equation, we have r = C / (2 π ). Now we use this to replace r in the first equation: A = π [ C / (2 π ) ]2.
When we simplify this, we get A = C2 / (4 π).
Now you can put your value of C into this equation and find A. Remember, π is about 3.1416.
Answer:
x = 2root(22)
see image.
Step-by-step explanation:
The triangle shown is one big triangle cut into two more smaller triangles: one medium-sized and one smaller.
ALL THREE TRIANGLES ARE SIMILAR BY AA.
Set the two smaller triangles up so you can see the corresponding sides. x is the short leg in one triangle and it is the long leg in the smallest triangle. Set up a proportion.
22/x = x/4
crossmultiply
x^2 = 22•4
x^2 = 88
square root both sides.
x = sqroot(88)
x = 2sqroot(22)
see image.
