-x=-y+2
x=y-2
now substitute iin the first one
y=(y-2)^2+5 (y-2)-3
y=y^2-4y+4 +5y-10-3
y=y^2+y-9
y^2-9=0.
y^2=9
y=3
3-x=2
-x=2-3
-x=-1
x=1
the solution are x=1 and y=3
3=1^2+5 (1)-3
3=1+5-3
3=6-3
3=3
Answer:
27
Step-by-step explanation:
1/4(n+8)-(6xB)
It´s length is 10.5 because:
Perimeter = (2 x width) + (2 x length), so the equation is:
Length = [Perimeter - (2 x width)] / 2
47 should be your answer.
Answer: Choice A)
x = 11*sqrt(2)/2
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Work Shown:
You can use the sine rule to find the value of x
sin(angle) = opposite/hypotenuse
sin(45) = x/11
x = 11*sin(45)
x = 11*sqrt(2)/2
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Or you could use the 45-45-90 triangle template
hypotenuse = sqrt(2)*short leg
11 = sqrt(2)*x
x = 11/sqrt(2)
x = 11*sqrt(2)/2 after rationalizing the denominator
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Or you could use the pythagorean theorem
For a 45-45-90 triangle, the legs are the same length. They are both x for now.
a^2+b^2 = c^2
x^2+x^2 = 11^2
2x^2 = 121
x^2 = 121/2
x = sqrt(121/2)
x = sqrt(121)/sqrt(2)
x = 11/sqrt(2)
x = 11*sqrt(2)/2