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3 years ago

Formulating and solving inverse variation functions

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

7 0

Answer:

See below.

Step-by-step explanation:

A. k = 50 * 3.6 = 180.

B. The equation is y = 180/x.

C. When x = 75, y = 180/75

= 2.4.

D. Checking C: 2.4 = 180/75 = 2.4. Correct

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If sin x=2/9,x, in quadrant i, then find(without findingx): sin(2x), cos(2x), tan(2x)

Sergio039 [100]

We have that
<span>sin x=2/9

we know that
sin</span>² x+cos² x=1---------> cos² x=1-sin² x-----> cos² x=1-(2/9)²
cos² x=1-(4/81)------> (81-4)/81-----> 77/81
cos x=√(77/81)

Sin 2x = 2 sin x cos x-------> 2*(2/9)*(√(77/81))----> (4/81)*√77---> 0.43

Sin 2x=0.43
so
cos² 2x=1-sin² 2x---------> 1-[0.43]²-----> 1-[0.1878]----> 0.81
cos² 2x=0.81-----------> cos 2x=0.9

tan 2x=sin 2x/cos 2x--------> tan 2x=0.43/0.9---------> tan 2x=0.48

the answers are
sin 2x=0.43
cos 2x=0.9
tan 2x=0.48

8 0

3 years ago

Find the midpoint of the line segment with the given endpoints. 1) (-4, -9), (-6, -6)

weeeeeb [17]

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a given line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, -9), (-6, -6)

The midpoint is

We have the final answer as

Hope this helps you

8 0

3 years ago

How do you subtract an integer from another integer without using a number line or counters

matrenka [14]

I'm assuming you mean negative integers and mixed. -3--3=? When to negatives are back to back it turns in to a positive number. The equation becomes -3+3=0.

Adding 2 negative numbers will always result in a negative value. -3+-3=-6.

A negative times a negative is always a positive . -2x-2=4

A positive integer times a negative integer will be a negative value. -3x4=-12.

A negative divided by a negative is a negative. -12/-2=-6

A positive divided by a negative is a negative. 9/-3=-3

5 0

3 years ago

If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is ___

JulsSmile [24]

Answer:

a) y-intercept of AB is 56/5

b) equation of line CD is:

y = -7/5x + 12

Step-by-step explanation:

a) If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is ___

We are given the points A(8,0) and point B (3,7)

We need to find y-intercept i.e b

Finding slope of points A and B = y₂ - y₁/x₂ - x₁

=7-0/3-8

=7/-5

= - 7/5

So, finding y intercept b by using equation

y = mx+b

And considering point A (8,0) x = 8 and y = 0 and m = -7/5

0 = 8(-7/5) + b

0 = -56/5 + b

=> b = 56/5

So, y-intercept of AB is 56/5

b) If the coordinates of point D are (5 , 5), the equation of line CD is y = __

Since AB || CD

both will have same slope

i.e m = -7/5

we need to find y-intercept given point D (5,5)

y = mx+b

5 = -7/5(5)+b

5 = -7 + b

=> b = 5+7

=> b = 12

So, equation of line CD is:

y = -7/5x + 12

9 0

3 years ago

What are the solutions of the equation y = negative 2 x squared + 9 x minus 4 shown in the graph below?

aleksandr82 [10.1K]

Answer:the answer c

Step-by-step explanation:

3 0

3 years ago