7 = ln(x + 6)
We first use the terms on both sides as exponents for e:
e^7 = e^ln(x + 6)
Since e^ln(a) = a,
e^7 = x + 6
x = e^7 - 6
Approximating using a calculator for e^7 gives us 1090.63.
Answer:
(-2, 10)
Step-by-step explanation:
Our equations are:
-6x - 
y = 8
x + 3y = 29
Let's multiply the second equation by 12:
12 * (x + 3y) = 12 * 29
6x + 36y = 348
Now, add this new equation to the first equation:
6x + 36y = 348
+ -6x - y = 8
_______________
(36 - 2/5)y = 356
36 - 2/5 = 180/5 - 2/5 = 178/5
Divide both sides by 178/5:
y = 356 / (178/5) = 356 * (5/178) = 10
Plug this back into one of the original equations to get x:
(1/2)x + 3y = 29
(1/2)x + 3 * 10 = 29
(1/2)x = -1
x = -2
The answer is (-2, 10).
Hope this helps!
Do you want a from greatest to least? Context?
Answer:
is equal to 925 i think cuz
Step-by-step explanation:
summation of arithmetic sequence
n=1 , 3n-2=3-2=1 , a=1, d=3.
sn=n+3n(n-1)
-------------
2
a=1 ,d=3 sn= n+3n(n-1)
------------
2
S25=25+3×25(25-1)
--------------
2
25+900=925
so the answer will be 925
Answer:
d) 46° 57°, 67°
Step-by-step explanation:
Acute scalene triangle : A triangle in which all three angles less than 90° and all three angles are different measurements.
a)36º , 57º , 870º
Since one angle is more than 90º
So, It is not an acute scalene triangle.
b)46°, 67°, 67°
Since all three angles less than 90° but all three angles are not different measurements.
So, It is not an acute scalene triangle.
c) 369°, 479° , 970
°
Since all angles are more than 90º
So, It is not an acute scalene triangle.
d) 46° 57°, 67°
Since all three angles less than 90° and all three angles are different measurements.
So, It is an acute scalene triangle.
So, Option d is set of angle measures can be used to construct an acute scalene triangle
