Answer:
√45
Step-by-step explanation:
We know that according to the Pythagorean theory:
a²+b²=c²
I am pretty sure that a is 3 and b is 6. C remains unknown.
3 squared is nine and 6 squared is thirty six. 36+9 is 45.
Since the question says you should leave the answer in radical form, the answer is
c²=45
√c²=√45
This book will really help in Geometry and you can get it anywhere.
I hope this helps!
~°LampteyJ
We have that
<span>a = <2, 4>-------> 2i+4j
b = <2, 5>------> 2i+5j
a.b-------> 2*2+4*5--------> 24
the answer is 24</span>
Width : Length
2 : 3
Perimeter = 2* width + 2*length
Ratio becomes:
Width : Length
4 : 6
Total units = 4 + 6 = 10
Perimeter = 40
Answer: Width is 8 ft and Length is 12 ft.
Answer:
4y
Step-by-step explanation:
Hey There!
given the equation
y - (-3y)
the two negative signs cancel out and make it into
y + 3y which is equal to 4y
thus meaning the answer to your problem is 4y
I made a quick sketch of these three points on a scratch paper, and
I think this is the way to solve the problem. Even though it seems
long and complicated, it's just doing things that you know how to do,
several times.
On paper, sketch and mark the three points.
You'll see that there are two sides of the square missing:
-- the side from 'P' to the missing point,
-- the side from 'R' to the missing point.
==> Find the slope of the side between 'Q' and 'R'.
Q=(-1, 3) . . . R=(4, 1)
Slope = (1-3) / (4 - -1) = -2/5
The side from 'P' to the missing point has the same slope,
and it goes through the point 'P' (-3, -2), so you can find its equation.
y = -2/5x + b
-2 = -2/5(-3) + b
-2 = 6/5 + b
-2 - 6/5 = b = -10/5 - 6/5 = -16/5
<u>y = -2/5x - 16/5</u>
==> Find the slope of the side between 'P' and 'Q'.
The side from 'R' to the missing point has the same slope,
and it goes through the point 'R', so you can find its equation.
Maybe a bit shorter, you could say that this line is perpendicular to
the line between 'Q' and 'R' that you just found, so its slope is the
negative reciprocal of that one ... 5/2 instead of -2/5s .
y = 5/2 x + b
This line goes through point 'R' (4, 1), so
1 = 5/2(4) + b
1 = 20/2 + b
1 = 10 + b
-9 = b
<u>y = 5/2x - 9</u>
Now you have the equations for the two lines that go through the
missing point. When you solve this system of two equations, you'll
have the 'x'; and 'y' coordinates of the missing point, because that's
where they intersect.
<span>y = -2/5x - 16/5 , and
</span>y = 5/2x - 9
-2/5 x - 16/5 = 5/2 x - 9
Multiply each side by 10 : -4 x - 32 = 25 x - 90
Add 4x to each side : - 32 = 29 x - 90
Add 90 to each side: 58 = 29 x
Divide each side by 29 : <em> x = 2</em>
<em>y =</em> 5/2 x - 9 = 5/2(2) - 9 = 5 - 9 <em>= -4</em>
The missing corner is the point<em> (2, -4)</em> .
Like I said ... It seems long and complicated, but it's just a matter of
doing things that you know how to do, several times. And trying to
not make any mistakes along the way (like I did about four times.)