Answer:
Step-by-step explanation:
given a point 
the equation of a line with slope m that passes through the given point is
or equivalently
.
Recall that a line of the form 
, the y intercept is b and the x intercept is 
.
So, in our case, the y intercept is 
and the x intercept is 
.
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph 
. Which means that 
The slope of the tangent line is given by the derivative of the function evaluated at 
. Using the properties of derivatives, we get
. So evaluated at we get 
Replacing the values in our previous findings we get that the y intercept is
The x intercept is
The triangle in consideration has height 
and base 
. So the area is
So regardless of the point we take on the graph, the area of the triangle is always 2.
Answer:
276
Step-by-step explanation:
60 feet plus 3 is 63, 63 times 2 is 126, 126 +150 is 276
Answer:
Y=10x
(multiply 10 times the salamanders)
Step-by-step explanation:
a formula that can be used for this circumstance is a linear y=mx+b problem. for 1 salamander there are 10 frogs. so with this we can state that y=10x. whatever you plug into the x for the number of salamanders will give you the answer of how many frogs are in the pond. for example.
Y=10x
Y=10(3)
Y=30
30 frogs.
also because 10 is a nice number you can just multiply the number of salamanders times 10. 3*10=30
Answer:
420% of 85 = 357
Step-by-step explanation:
85/x=100/420
(85/x)*x=(100/420)*x - we multiply both sides of the equation by x
85=0.23809523809524*x - we divide both sides of the equation by (0.23809523809524) to get x
85/0.23809523809524=x
357=x
x=357
Answer:
74º
Step-by-step explanation:
- Ray TV bisects ∠RTS, so ∠RTV=∠STV=(16x-6)º
- We also know that ∠RTS=(26x+18)º
- So, (16x-6)º+(16x-6)º=(26x+18)º
- We don't need parenthesis, 16x-6+16x-6=26x+18
- Combine like terms, 32x-12=26x+18
- Add, 32x=26x+30
- Subtract, 6x=30
- Divide, x=5
- ∠RTV now is [16(5)-6]º=(80-6)º=74º
