Answer:
6x^2 + 17x + 12.
Step-by-step explanation:
(3x + 4)(2x + 3)
= 3x(2x + 3) + 4(2x + 3)
= 6x^2 + 9x + 8x + 12
= 6x^2 + 17x + 12.
Answer:
x = 9
Step-by-step explanation:
12^2 + a^2 = 54^2
a^2 = 54^2 - 12^2
a = sqrt (54^2 - 12^2) = 6 * sqrt(77)
Then calculate it for another triangle, where each side is 6 times shorter (as 12/2 = 6):
2^2 + (sqrt(77))^2 = x^2
x^2 = 81
x = 9
The answer would be 243 because 9 x 20 is 180 and 9 x 7 is 63 so 180+63 is 243
Answer:
x = 
Step-by-step explanation:
Using the Pythagorean Theorem we can solve this problem.
The legs of the triangle will be the same (the dashes in the middle of the line indicates they are the same).
The Pythagorean Theorem will look like this:
Now, let's find a:
The square of a radical will be whatever is under the arch
Divide 11 by 2
Square root both sides
a =
Therefore, the length of side x is equal to .
Hope this helps!!
1)
I:x-y=-7
II:x+y=7
add both equations together to eliminate y:
x-y+(x+y)=-7+7
2x=0
x=0
insert x=0 into II:
0+y=7
y=7
the solution is (0,7)
2)
I: 3x+y=4
II: 2x+y=5
add I+(-1*II) together to eliminate y:
3x+y+(-2x-y)=4+(-5)
x=-1
insert x=-1 into I:
3*-1+y=4
y=7
the solution is (-1,7)
3)
I: 2e-3f=-9
II: e+3f=18
add both equations together to eliminate f:
2e-3f+(e+3f)=-9+18
3e=9
e=3
insert e=3 into I:
2*3-3f=-9
-3f=-9-6
-3f=-15
3f=15
f=5
the solution is (3,5)
4)
I: 3d-e=7
II: d+e=5
add both equations together to eliminate e:
3d-e+(d+e)=7+5
4d=12
d=3
insert d=3 into II:
3+e=5
e=2
the solution is (3,2)
5)
I: 8x+y=14
II: 3x+y=4
add I+(-1*II) together to eliminate y
8x+y+(-3x-y)=14-4
5x=10
x=2
insert x=2 into II:
3*2+y=4
y=4-6
y=-2
the solution is (2,-2)
