Answer:
an = 2 + n
Step-by-step explanation:
The differences between terms are all 1. The first term is 3. The general form of the general term is ...
an = a1 + d(n -1)
Filling in a1 = 3 and d = 1, we have ...
an = 3 + n - 1
an = 2 + n . . . . . . simplify
Let the length of unknown side be x
So, hypotenuse = 2x + 1
By pythagorean theorem ie , a² = b² + c²
(2x + 1)² = x² + 15²
4x² + 1 + 4x = x² + 225
3x² + 4x -224
(3x +28)(x-8)
x = -9.33 , 8
Since, length can't be negative
x = 8
∴Unknown side length = 8 m
Length of hypotenuse = 2 x 8 + 1 = 17 m
Hope it helps now.
Answer:
Kelsey is correct.
Step-by-step explanation:
One of the rules when solving an equation is that you need to isolate the variable, meaning that it just needs to be x by itself. To do that, you would need to start by subtracting 6. If you were to divide by 3 first, the answer would be twice what it should be.
Answer:
x=0
y=6
Step-by-step explanation:
Two equations with two unknowns can be solved. Use the three steps given below.
In general you can save time if you use the simplest expression for step 1. You can choose either expression to start with x =.. or you can rewrite it, so it starts with y =...
FOLLOW THESE STEPS:
1. Rewrite the first expression so it starts with y =...
2. Then use that expression and substitute it in the other expression, to find the value for x.
3. Use that value found in step 2. and substitute it in the rewritten expssion you created in step 1. Solve this last expression and you'll get the value for y.
Step 1.
-6y + 11x = -36
-6y = -11x -36
multiply left and right of the = sign by -1
6y = 11x + 36
divide left and right of the = sign by 6
y = 11x/6 + 36/6
y = 11/6x + 6
Step 2.
-4 * ( y ) + 7x = -24
-4 * ( 11/6x + 6 ) + 7x = -24
( -44/6x - 24 ) + 7x = -24
-44/6x + 7x = -24 + 24
You can see immediately that ...x = 0
Just for fun of it ....
-44/6x + 42/6x = 24 - 24
(-44+42)/6x = 0
-2/6x = 0
-1/3x = 0
multiply left and right of the = sign by -3
3/3x = 0 * -3
x = 0
Step 3.
y = 11/6( x ) + 6. and substitute x = 0 gives:
y = 11/6( 0) + 6
y = 0 + 6
y = 6