Answer:
x ≈ 3.29
Step-by-step explanation:
Take the logarithm of both sides of the equation to remove the variable from the exponent.
Exact Form:
x = 
Decimal Form:
x = 3.29202967
… ≈ 3.29 (Round to what the question asks, in this case, I rounded to 2 decimal places)
The answer is:
X int- 4
Y int- -12
Explanation:
You must subtract 12 from both sides
4x-6y-12=0
Add -6y to both sides
4x-12=y
Plus into y=mx+b
Y=4x-12
Hope this was helpful
Bear in mind that, is an isosceles
right-triangle, so, one angle is 90°.
check the picture below.
Answer:
164.4
Step-by-step explanation:
m<ABC = m<ABK + m<KBC
17x + 8 = 42 + 12x - 4
17x - 12x = 42 - 4 + 8 add like terms
5x = 46 divide both sides by 5
x = 9.2 now replace x with 9.2 in 17x + 8
17*9.2 + 8 = 164.4
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
