Answer:
Step-by-step explanation:
You haven't given us a diagram of your figure. Assume it is like the one in the image below.
The formula for the area of a parallelogram is
A = bh
1. Determine the height of the parallelogram
Notice that the angle is 45°. That makes the triangle an isosceles right triangle, so we can use Pythagoras' Theorem.
h² + h² = (6√2)²
2h² = 36 × 2 = 72
h² = 36
h = 6
2. Calculate the area of the parallelogram
Answer:
The original number is 47.
Step-by-step explanation:
A and C when reversed make a number less than the original value.
D when reversed makes 83 which is 45 more than 38, the original number.
C, when reversed, gives 74 which is 24 more than 47, the original value.
Please mark as brainliest!
<em>Side note:</em>
<em>All number's digits add up to 11.</em>
Answer:
-3/2
(2x-14)/3
(-2,-6)
Step-by-step explanation:
I solved the first one for you already ( -3/2)
To make a line perpindicular to another line they need to intersect at a 90 degree angle. To do this the slope of the lines have to be the negative reciprical (take the fraction, flip it, and apply a negative sign to it)
If you do this to -3/2 you get 2/3
If we follow our y=mx+b equation from before we (so far) have
2/3x+b=y
which means that we just need to solve for b
We also know that it crosses the point (7,0) which means that if we plug in 7 for x and 0 for y we can solve for b
we have
(2/3)*7+b=0
Solve for B
14/3+b=0
b= -14/3
Which means our equation looks like this
(2x-14)/3
our two equations look like this
(-3/2)x-9
(2x-14)/3
We need to find where their coordinates are the same (where they intersect)
We can do this by setting them equal to each other and then solving for x
we have
(-3/2)x-9=(2x-14)/3
solve for x
-4.5x-27=2x-14
-13= 6.5x
x= -2
Now that we know what x equals we can plug this into any of our two beginning equations
(-3/2)*-2-9=y
3-9=y
-6=y
Which means our coordinates are (-2,-6)
if you have any questions let me know
X/9 -1=5
X=?
9y+1=7
Y=?
3z/7 + 3=-7
Z=
X=54
Y=1/3
Z=-23 1/3