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Genrish500 [490]
3 years ago
14

The graph of y= x is scaled vertically by a factor of 1/5

Mathematics
1 answer:
sashaice [31]3 years ago
4 0

Answer:

y = 1/5x

Graph Below:  

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(csc x - 1) (csc x + 1)
victus00 [196]
<h2>Explanation:</h2>

Here we have the following expression:

(csc x - 1) (csc x + 1)

So we need to extend this. Remember that the difference of squares tells us:

(a-b)(a+b)=a^2-b^2

So here:

a=cscx \\ \\ b=1

Thus:

(csc x - 1) (csc x + 1)=csc^2x-1 \\ \\ \\ But: \\ \\ cscx=\frac{1}{sinx} \\ \\ \\ Then: \\ \\ csc^2x-1=\frac{1}{sin^2x}-1=\frac{1-sin^2x}{sin^2x}=\frac{cos^2x}{sin^2x}=cot^2x \\ \\ \\ Finally: \\ \\ \boxed{(csc x - 1) (csc x + 1)=cot^2x}

4 0
3 years ago
a rectangular playground has a preimeter of 180 feet.if the length is 12 feet longer than the width, what are the dimensions of
jeka94
Perimeter = w + w + l + l
180= w+w+w+12+w+12
The dimensions for width are just w and for length it's w+12
4 0
3 years ago
Solve the system using any method.<br> x= - 4y+7<br> -2y+3x=9
Arte-miy333 [17]

The solution to the given system of equation is (25/7, 6/7)

<h3>System of equation</h3>

Given the system of equation expressed as:

x= - 4y+7 ........... 1

-2y+3x=9 ...........2

Substitute the equation 1 into 2 into have:

-2y + 3(-4y+7) = 9

-2y + 3(-4y) + 3(7) = 9

-2y - 12y + 21 = 9

Collect the like terms

-14y = 9- 21

-14y = -12

y = 6/7

Substitute y = 6/7 into equation 1;

x =-4y + 7

x = -4(6/7) + 7

x= -24/7 + 7

x = -24+49/7

x = 25/7

Hence the solution to the given system of equation is (25/7, 6/7)

Learn more on system of equation here; brainly.com/question/14323743

#SPJ1

6 0
2 years ago
Im so confused pls help
timama [110]
Answer:

a = 49°

Explanation:

You use the rule ‘exterior angle of a triangle’ which states that the exterior angle is equal to the sum of the two opposite interior angles.

To put it mathematically:

a + a = a + 49° (Ext angles of triangle)
a = a - a + 49°
a = 49°
5 0
3 years ago
If a cyclist in the Tour de France traveled southwest for 12,250 meters in one hour, what would the velocity of the cyclist be i
Serjik [45]

Transferring Mph to Mps, your answer would be: 3.4027778 meters per second

3 0
3 years ago
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