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olganol [36]
2 years ago
10

Find an equation of the line satisfying the given conditions. Write the equation in standard form. Horizontal; through ( 3,6)

Mathematics
1 answer:
Andreyy892 years ago
3 0

Answer:

Step-by-step explanation:

A horizontal line has the equation "y = " something, while a vertical line has the equation "x = " something.  If our line is horizontal through (3, 6), it will be horizontal through the y coordinate (and vertical through the x coordinate).  Our equation is y = 6

(The vertical equation through this point would be x = 3, just so you understand what I meant above.)

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A. 40°<br>B. 50°<br>C. 80 °<br>D. 140°​
Ghella [55]

Answer: A. 40

Step-by-step explanation:

7 0
3 years ago
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when the sun's angle of elevation is 57°, a building casts a shadow 21 m long. how high is the building?
patriot [66]
Check the picture below.

make sure your calculator is in Degree mode.

5 0
3 years ago
The table below shows the distance d(t) in feet that an object travels in t seconds: t (seconds) d(t) (feet) 1 15 2 60 3 135 4 2
storchak [24]

Answer:


Step-by-step explanation:

Answer:


Option B is correct


The average rate of change of d(t) between 2 second and 4 second is; 90 ft/s


and it represents the average speed of the object between 2 seconds and 4 seconds.


Step-by-step explanation:


Average rate of change of function is defined as the ratio of the difference in the function f(x) as it changes from a to b to the difference between a and b. Then, the average rate of change is denoted as A(x).




As per the given statement, the distance d(t) is in feet and t is the time in second.


To find the average rate of change of d(t) between 2 seconds and 4 seconds.


From the table we have;


at t = 2 , d(2) = 60


and


at t =4 , d(4) = 240.


Then, by the definition of average rate of change ;


=


Simplify:




therefore, the average rate of change of d(t) between 2 second and 4 second is; 90 ft/s and it represents the average speed of the object between 2 seconds and 4 seconds.




6 0
3 years ago
Help me plz with this problem​
inysia [295]

Answer:

refer to this attachment

kamsahamnida

8 0
2 years ago
Use the Quotient Rule to find the UNSIMPLIFIED version of the derivative. R(w)=3w+w^4/ 2w^2+1.
PolarNik [594]

From your previous questions, you know

(3<em>w</em> + <em>w</em>⁴)' = 3 + 4<em>w</em>³

(2<em>w</em>² + 1)' = 4<em>w</em>

So by the quotient rule,

<em>R'(w)</em> = [ (2<em>w</em>² + 1)•(3<em>w</em> + <em>w</em>⁴)' - (3<em>w</em> + <em>w</em>⁴)•(2<em>w</em>² + 1)' ] / (2<em>w</em>² + 1)²

That is, the quotient rule gives

<em>R'(w)</em> = [ (denominator)•(derivative of numerator) - (numerator)•(derivative of denominator) ] / (denominator)²

I'm not entirely sure what is meant by "unsimplified". Technically, you could stop here. But since you already know the component derivatives, might as well put them to use:

<em>R'(w)</em> = [ (2<em>w</em>² + 1)•(3 + 4<em>w</em>³) - (3<em>w</em> + <em>w</em>⁴)•(4<em>w</em>) ] / (2<em>w</em>² + 1)²

6 0
3 years ago
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