Hi,
Here we are going to be working on isolating the variable y, and seeing what its value equates to.
To do this, we must try and get the variable y on one side of the equation by itself.
Let's look at step one -
<em>4y - 1 = 7
</em>
We want to get rid of the 1 since we need to isolate x. We do this by doing the inverse of its operation. Since 1 is negative, if we add positive 1 to it - we will get 0, thereby being closer to isolating y.
However, when we do something on one side of the equation we must do it on the other. This means we will add 1 on both sides.
<em>4y - 1 + 1 = 7 + 1
</em>
<em>4y = 8
</em>
<em />Remember how I mentioned we do the inverse of the operation? In this case, 4 is multiplying y. The inverse operation of multiplication is division. So, to get rid of the 4 - we must divide 4y by 4, on both sides.
<em>4y / 4 = 8 / 4
</em>
<em>y = 2
</em>
We now know the variable y is equal to 2.
Hopefully, this helps.
The greatest common factor is 1 because there is not a number that goes into or will multiply and get 49 and 4. 49 is an odd number and 4 is an even number so the GCF is 1.
Answer:
110sin(72°) feet
Step-by-step explanation:
In the right triangle with the 110 ft ladder as the hypotenuse, the side opposite the 72° angle represents the maximum height the ladder will reach. The definition of the sine function tells you ...
Sin = Opposite/Hypotenuse
so the Opposite side will be ...
ladder height = (110 ft)sin(72°)
Answer:
ans 12
Step-by-step explanation:
first term(a)=89
common difference(d)=7
we know,
tn=a+(n-1)d
t12=89+(12-1)(-7)
t12=89+11*(-7)
t12=89-77
t12=12
Answer:
The answer is -13.
Step-by-step explanation:
To find this answer first you must subtract -10-(-12) to get -22. Then you have to subtract -35-(-22) to get the final answer which is -13.