Answer:
y=1; x=2
Step-by-step explanation:
Substitution:
x=2y
2x+5y=9
=> if x=2y, plug in the x value into other equation, so
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2(2y)+5y=9
4y+5y=9
9y=9
y=1
You have the Y value, so now solve for X
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plug in y value to x=2y
so x=2(1)
x=2
Answer:
He is incorrect in this statement because 38 and 40 both have factors, other than 1 x itself. Prime numbers are numbers the only have 1 factor pair, and that is 1 x itself. Factors are the numbers you multiply to get the end result, and an example is 10x4=40. The factors of 40 are 8x5, 4x10, 2x20, and of course, 1x40. The factors of 38 are 2x19, and 1x38.
Answer:
Step-by-step explanation:
first find the area of the rectangle, which would be 
yd²
then find the arc length of the sector, which is about 30.6yd
use the arc length to find the area of the sector, which is about 199.09yd²
add together the area of the rectangle and sector:
199.09 + 208 ≈ 407
The vertex is (-1,1)
Explanation
The vertex formula to find the x coordinate of the formula is -b/2a
So we plug in the values into the formula which is
-4/2(2)
Simplify it
-4/4
=-1
-1 is now the x cord of the vertex.
So now we will plug in the x into the quadratic equation which is 2x^2+4x+3
2(-1)^2 + 4(-1) + 3 = 2 -4 +3
Simplify it
5 - 4= 1
Y=1
So the Coordinates of the vertex is (-1,1)
Answer:
$0.33
Step-by-step explanation:
5.11-3.79=1.32 1.32/4
Hope this helps :)
