7.79cm It is an equilateral triangle so it has 3 equal sides. That means each side is 9cm. <span>
Now draw a line from the top of the equilateral triangle to the base, and dividing it into two. You will have made two smaller triangles, with sides 9, 4.5, and h (the one you want to find).
A line drawn from the apex of an equilateral triangle to the midpoint of the base is perpendicular to the base, so you can use Pythagoras' Theorem!
4.5^2 + h^2 = 9^2
h = sqrt(9^2 - 4.5^2)
Therefore, the height is 7.79cm (2 decimal places)</span><span>
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The values are x= 0 and y= -3.
Step-by-step explanation:
The given equations are,
6x-5y=15...........................(1)
x=y+3................................(2)
Step:1
Modify the equation (2) in (x+y=constant) format,
x-y=3................................(3)
Step:2
The equation (3) is multiplied by 5 (5×Eqn(3))
5x-5y=15........................(4)
Step:3
Subtract the equation (1) and (4)
6x-5y=15.......................(1)
5x-5y=15.......................(4)
( - ) (∵ Eqn(1)-Eqn(4))
(6x-5x)+(-5y+5y)=(15-15)
(x)+(0)=(0)
x=0
Step:4
Substitute the X=0 in the equation (2),
x=y+3............................(2)
(∵ x=0)
0=y=3
y=-3
Step:5
Check for solution substitute values of X and Y in equation (1),
6x-5y=15...........................(1)
(∵ x=0, y=-3)
(6×0)-(5×(-3))=15
15=15
Result:
The solution for equation 6x-5y=15 and x=y+3 are
x=0 and y=-3.
Answer:
which number
Step-by-step explanation:
FOIL when multiplying two binomials.
First:
√ 3*√ 3= 3
Outer:
√ 3 *2 = 2√3
Inner:
-4*√3= -4√3
Last:
-4*2=-8
Put it together
3+2√3-4√3-8
Simplify
(-2√3)-5
Final answer: (-2√3)-5
The answer is x is less than 1.
