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prove (1-cos^2A)csc^2A=1

The solution x > -3 represents all values of x that are greater than -3. On the other hand, the solution x = -3 represents a single value of x that is equal to -3.

Given that,

An equation is,

- 4(2x - 3) = 36

Here, Jake's solution to the equation - 4(2x - 3) = 36 is,

-4(2x - 3) = 36

Apply distributive property,

-8x + 12 - 36

- 8x + 12 - 12 = 36 - 12

Subtract 12 on both sides,

-8x = 24

x = - 24/8

x = - 3

So, the solution x = -3 represents a single value of x that is equal to -3.

Therefore, x > -3 represents a range of values greater than -3, while x = -3 represents a single value that is equal to -3.

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Answer:

infinite solutions

Step-by-step explanation:

Given

8(k - 6) + 58 = 2(4k + 5) ← distribute parenthesis on both sides

8k - 48 + 58 = 8k + 10 , that is

8k + 10 = 8k + 10

Since both sides are equal then any value of x will make the equation true.

There are an infinite number of solutions

Answer:

i believe it's A. f(x) slope is greater than g(x) slope

Step-by-step explanation:

the slope of f(x) is -2, while g(x) is -6. you may think "why isn't -6? 6 is bigger, isn't it?" In this case, they're both negative so the number closer to zero is the greater one

Answer:

A

Step-by-step explanation:

Answer: Dear friend google

Step-by-step explanation: search it up

Answer:

two and a half

Step-by-step explanation:

the answer is a decimal

Step-by-step explanation:

-2(3h-1) = 5(2h-3)

clear brackets

-6h+2 = 10h-15

collect like terms

-6h-10h = -15-2

-16h = -17

divide the coefficient of h

h = -17 \ -16

h = 1.0625

Answer:

True

Step-by-step explanation:

I hope this helps!

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The correct way to graph x > 0 on a number line is option B) Draw a closed circle over 0 and shade the arrow to the right.

In this case, the inequality x > 0 represents all values of x that are greater than zero. By placing a closed circle on zero, we include the value of zero in the solution set. The shading of the arrow to the right indicates that all values greater than zero are included in the solution.

Since the inequality is strict (x > 0), we use a closed circle to represent zero, indicating that zero is part of the solution set. An open circle would be used if the inequality was non-strict (x ≥ 0), excluding zero from the solution set. However, in this case, zero is included, so a closed circle is used.

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Answer:

m∠C = 56 and (4x + 16) = 180

Step-by-step explanation:

The sum of angle in a triangle is 180, hence:

<A+<B+<C = 180

Given

<A = 2x+1

<B = x

<C = x+15

Substitute

2x+1+x+x+15 = 180

collect like terms:

2x+x+x+1+15 = 180

4x+16 = 180

4x = 180-16

4x = 164

Divide both sides by 4

4x/4 = 164/4

x = 41°

Since <A = 2x+1

<A = 2(41)+1

<A = 82+1

<A = 83

<B = x = 41

<C = x+15

<C = 41+15

<C = 56

Based on the calculation above, the true statements are:

m∠C = 56 and (4x + 16) = 180

Answer:

C. June 28, 1776

Step-by-step explanation:

Submitting the Declaration of Independence to the Continental Congress, June 28, 1776. This image is considered one of the most realistic renditions of this historical event.

Answer:

the answer is approximately 0.4545

Step-by-step explanation:

I just searched it on google. i got you my guy

Answer: 5/11

The denominator (bottom number) stays the same when adding or subtracting fractions. In this case, you simply subtract 4 from 9 and get 5, which is your numerator (top number).

So: 9/11 - 4/11 = 5/11

Answer:

I'm not quite sure how to point to which graph exactly, but I will tell you that it is the one that principal increases by one for six months, and interest decreases. It has "Month, Principal, Interest, and Total" written across the top in bold. Down the left-hand side, it has numbers 1-6. On the bottom, the first total is $363, and the second is $2076.

Step-by-step explanation:

There is very limited math involved in this question. The first step is to find a graph where each month, the principal number increases by one dollar and the interest decreases by one dollar. This should go on for six months. We can now eliminate two graphs. For a third, you must remember that the interest starts in the sixty, and the principal payment is in the two hundred eighties. By now, we have our graph. The final step to double-check this is to add up the total interest and principal (which should be on the side). All totals should be $346 as we're basically just trading one number for another (-1+1). You should also go to the bottom and fill in the blank in the principal column. In this box, you should put the total of all principals together.

Hope this helps!

Answer:

X is 17

Step-by-step explanation:

Answer:

5*2 - 3

10-3

7

Step-by-step explanation:

mark me as the brainliest

Answer:

B represents 9. The opposite would be -9

Step-by-step explanation:

Answer:

Step-by-step explanation:

we can subsitiute 3 and -1 for x and y respectively to get 3A - 4 = 2. After this you add 4 to both sides and get 3A = 6. divide by 3 and you get a = 2

Answer:

22g+6

Step-by-step explanation:

-3(-4g-6g-2)-8g  To simplify this, we have to distribute first.

12g+18g+6-8g    Now, we can combine like terms. (I underlined the parts with the variable to make it easier to see which parts were considered like terms.)

22g+6                 This is your simplified answer!!

Hope this helps...have a wonderful day c:

I love theseeee

Answer:

the constant of proportionality is 10

Step-by-step explanation:

to find the constant you have to get the first number or x to be 1 so 3÷3 equals one and whatever you do to one side do to the other so 30÷3=10

hope this helps and makes sense

Answer:

your answer is 45

Step-by-step explanation: it is 45 because 30 divided by 2/3 is 45

Answer:

gvvvvvbb

Step-by-step explanation:

gghhhhbbhhjhhhhh

Answer:

8736

Step-by-step explanation:

Answer:

8,736

Step-by-step explanation:

728 x 12 = 8,736

Answer:

5.9 minutes

Step-by-step explanation:

85% of 50 items is gone in 5 minutes

42.5 items = 5 minutes

50 items = x minutes

42.5 items × x minutes = 50 items × 5 minutes

x = 50 items × 5 minutes/42.5 items

x = 5.8823529412 minutes

x ≈Approximately to 1 decimal place 5.9 minutes

All your memories be gone in 5.9 minutes

Answer:

x=1.125

Step-by-step explanation:

Answer:

1.125

Step-by-step explanation:

7x + 3 = 4x - 5x + 12

7x + 3 = -x + 12

+x           +x

8x + 3 = 12

   -3       -3

8x = 9

x = 1.125

Answer:

$5589

Step-by-step explanation:

I added 108+135

then got 243 then i multiplyed 23.00 times 243

got 5589

Answer:

a. i) Please see the  included graph of the equation $10·x + $12·y = $300

ii) The intercepts give the maximum number of either short-sleeve (x-intercept) long-sleeved (y-intercept) that can be ordered

Step-by-step explanation:

The given information are;

The cost of each short-sleeved shirt = $10

The cost of each long-sleeved shirt = $12

The amount available in the budget = $300

The equation for the total cost = $10·x + $12·y = $300

Where;

x = The number of short-sleeved shirts

y = The number of long-sleeved shirts

Rewriting the equation given in slope and intercept form, we have;

$10·x + $12·y = $300

$12·y = $300 - $10·x

y = $300/$12 - $10·x/$12

y = 25 - 5/6·x

Please find attached, the graph of the equation made with Microsoft Excel

The values of the data that can calculated to plot the graph are;

x, y

(0, 25 )

(5, 20.83 )

(10, 16.67)

(15, 12.5 )

(20, 8.33)

(25, 4.17)

(30, 0 )

The x-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget, while the y-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget.

The graph of the equation is shown below.

The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.

The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.

Given:

Short-sleeved shirts cost $10 each.  

Long-sleeved shirts cost $12 each.

The total budget is $300.

The given equation is:

[tex]10x+12y=300[/tex]

where [tex]x[/tex] is the number of short-sleeved shirts and [tex]y[/tex] is the number of long-sleeved shirts.

To find:

The graph of the given equation and the interpretation for the intercepts.

Explanation:

We have,

[tex]10x+12y=300[/tex]

Substitute [tex]x=0[/tex].

[tex]10(0)+12y=300[/tex]

[tex]12y=300[/tex]

[tex]y=\dfrac{300}{12}[/tex]

[tex]y=25[/tex]

So, the y-intercept is at point (0,25).

Substitute [tex]y=0[/tex].

[tex]10x+12(0)=300[/tex]

[tex]10x=300[/tex]

[tex]x=\dfrac{300}{10}[/tex]

[tex]x=30[/tex]

So, the x-intercept is at point (30,0).

Plot the points (30,0) and (0,25) on a coordinate plane and connect them by a straight line.

The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.

The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.

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Answer:

B

Step-by-step explanation:

Since one inch on a map must represent a few miles in reality, B is the only logical answer to this question