Solve n÷6>2 . Graph the solution
1 answer:
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Answer:
Yes
Step-by-step explanation:
+
=
36 + 64 = 100
The Pythagorean theorem is true.
Answer: The post office is 32 feet tall.
Step-by-step explanation:
We set up a proportion : 10ft/15ft = xft/48ft
In this equation "x" is the height of the post office. After setting up a proportion with the size of the buildings on the top (numerator) and the shadows of each building on the bottom (denominator) we cross multipy to get our equation to find x. We then divide both sides of the equation by 15 to get our answer.
Answer:
See explanation.
Step-by-step explanation:
Part A.
If two curves intersect, they have the same x- and y-coordinates.
So if we set the y-coordinates equal to each other, we are finding for what x-coordinate those y-coordinates will be the same. Therefore solving 2^(-x)=8^(x+4) gives us an x- so that both sides are the same (where both sides represent the corresponding y- coordinate for that x- in the curves given by y=2^(-x) and y=8^(x+4).
Part B.
x | 2^(-x) | 8^(x+4)
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-3 2^(-(-3))=2^3=8 8^(-3+4)=8^1=8
-2 2^(-(-2))=2^2=4 8^(-2+4)=8^2=64
-1 2^(-(-1))=2^1=2 8^(-1+4)=8^3=512
0 2^(-(0))=2^0=1 8^(0+4)=8^4=4096
1 2^(-(1))=2^(-1)=1/2 8^(1+4)=8^5=32768
2 2^(-(2))=2^(-2)=1/4 8^(2+4)=8^6=262144
3 2^(-(3))=2^(-3)=1/8 8^(3+4)+8^7=2097152
So in the table we see both lists have the same y-coordinate when the x-coordinate is -3.
The solution to equation 2^(-x)=8^(x+4) is therefore x=-3 since the table tells us both sides is the same value, 8, for this x-coordinate.
Part C.
You can graph both curves given by y=2^(-x) and y=8^(x+4) on the same coordinate plane. Where they intersect is the solution.
I use the table in part B to help guide me in plotting the points to help graph the curves for each equation. I have included a visual in an attachment.
They cross at (-3,8) so this is the solution.
So this tells me 2^(-x)=8^(x+4) has solution at x=-3 since both sides will be 8 at that x-.
