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san4es73 [151]
3 years ago
8

You are hiking in the woods at a rate of 3 mph. The function y=3x describes how many miles y you walk in x hours. create an inpu

t table with 3 domain values
Mathematics
1 answer:
Finger [1]3 years ago
4 0

Answer:

x ---- y

1 ---- 3

4 ---- 12

6 ---- 18

Step-by-step explanation:

Given

y = 3x

Required

Create a table that represents this scenario

Because x represents time, x can not be negative. So, the domain of x is:

x \geq 0

Assume x = 1

y = 3 * 1 = 3

Assume x = 4

y=3*4 = 12

Assume x = 6

y=3*6 = 18

Hence, the table is:

x ---- y

1 ---- 3

4 ---- 12

6 ---- 18

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Verify the identity. 4 csc 2x = 2 csc2x tan x
vlada-n [284]

Step-by-step explanation:

4csc(2x) = 2csc^2(x) tan(x)

We start with Left hand side

We know that csc(x) = 1/ sin(x)

So csc(2x) is replaced by 1/sin(2x)

4 \frac{1}{sin(2x)}

Also we use identity

sin(2x) = 2 sin(x) cos(x)

4 \frac{1}{2sin(x)cos(x)}

4 divide by 2 is 2

Now we multiply top and bottom by sin(x) because we need tan(x) in our answer

2\frac{1*sin(x)}{sin(x)cos(x)*sin(x)}

2\frac{sin(x)}{sin^2(x)cos(x)}

2\frac{1}{sin^2(x)} \frac{sin(x)}{cos(x)}

We know that sinx/ cosx = tan(x)

Also  1/ sin(x)= csc(x)

so it becomes 2csc^2(x) tan(x) , Right hand side

Hence verified



6 0
3 years ago
Sum of 6 divided by a number and that number divided by 6
Korvikt [17]
The sum is :
6 / x + x / 6 =
= ( 6 * 6 ) + ( x * x ) / 6 x = 
= ( 36 + x² ) / ( 6 x )
Answer: ( 36 + x² ) ( 6 x ) 
7 0
3 years ago
How are reciprocals used in division with rational numbers?
Neko [114]

Answer:

When dividing rational numbers, multiply by the "right" reciprocal. In this case, the "right" reciprocal means to take the reciprocal of the fraction on the right-hand side of the division operator.

8 0
3 years ago
Read 2 more answers
Guys!! anyone can help me solve this geometry problem?<br>What is the area of this triangle?
NeX [460]

Answer:

10657.5

Step-by-step explanation:

<h2>Long way that is unnecessarily long</h2>

We can start by finding the area of the larger triangle. Using the Pythagorean theorem, we can say that 251²-105²=the bottom side², and  251²-105²=51976, so the bottom side of the larger triangle is √51976 , or approximately 228. Then, the area of the larger triangle is √51976 * 105/2 = 11969 (approximately). Then, the area of the smallest triangle (the largest triangle - the one that we're trying to find the area of) is 105*(√51976-203)/2 = approximately 1312. Then, subtracting that from the total area, we get (√51976 * 105 -  105*(√51976-203))/2 = 105*203/2 = 10657.5

<h2>Short way</h2>

ALTERNATIVELY, upon further review, we can just see that the height is 105 and the base is 203, so we multiply those two and divide by 2, as is the formula for the area of a triangle, to get 10657.5

3 0
3 years ago
What are the solutions of t+3&gt;-1? Graph the solutions.
olya-2409 [2.1K]
T is more than -4. Remember that -4 is not included.

4 0
4 years ago
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