solve for m

Y=Mx+b
With explanation

Answer:

(1-cos2A) /(1+cos2A) =tan²A

Proof:

We know that,

cos(A+B) =cosA.cosB-sinA.sinB

=>cos2A=cos(A+A)

=>cos2A=cosA.cosA - sinA.sinA

=>cos2A=cos²A-sin²A

=>cos2A=(cos²A-sin²A)/(cos²A+sin²A

Since {cos²A+sin²A=1}

Divide the numerator & the denominator by (cos²A) to get,

cos2A = {(cos²A-sin²A) ÷cos²A} / {(cos²A+sin²A) ÷cos²A}

cos2A ={(1-tan²A)/(1+tan²A)}

Then,

1-cos2A = 1-[{(1–tan²A)/(1+tan²A)}]

1-cos2A =(1+tan²A-1+tan²A)/(1+tan²A)

1-cos2A=(2tan²A)/(1+tan²A)

And now.......

1+cos2A=1+[{(1-tan²A)/(1+tan²A)}]

1+cos2A={1+tan²A+1-tan²A}/{1+tan²A}

1+cos2A=2/(1+tan²A)

So now,

(1-cos2A)/(1+cos2A)= {2tan²A/(1+tan²A)}÷{2/(1+tan²A)}

={(2tan²A)(1+tan²A)}÷{2(1+tan²A)}

=tan²A

Step-by-step explanation:

make me as brain liest

Answer:

b is the anwer of youre question

Answer:

B

Step-by-step explanation:

the plus sign means sum so that leaves you with the first two choices already

c has an exponent of two so that would be called squared, and that leaves you with the second one

The total area of the composite figure made up of triangle, rectangle and square is; 106 m²

The area of the Triangle is;

A_t = (1/2) * (6 + 4) * 9

A_t = 45 m²

Area of Square;

A_s = 5 * 5

A_s = 25 m²

Area of Rectangle is;

A_r = 6 *  6

A_r = 36 m²

Total Area = 45 m² + 25 m² + 36 m²

Total Area = 106 m²

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Answer:

m = -4 3/5   or   -4.6

Step-by-step explanation:

First, we need to isolate the variable, m. We subtract 1 3/5 on both sides of the equation, and then we should get -4 3/5 = m.

hope this helped !! :D

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 3, 4)

m = [tex]\frac{4-2}{-3-3}[/tex] = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex] → C

The slope of the line is -1/3 through the points(3, 2) and (-3, 4) which is correct option (C).

Slope of line is defined as the angle of line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

A graph can be defined as a pictorial representation or a diagram that represents data or values.

From the given graph we can pick the points which can tell us about the nature of the line that slope of line is negative.

Given,

Points of line is (3, 2) and (-3, 4)

Let

x₁ = 3, y₁ = 2

x₂ = -3, y₂ = 4

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in formula

m = (4 - 2)/(-3 - 3)

m = 2/(-6)

m = -1/3

Hence, the slope of the line is -1/3

Learn more about Slope of Line here :

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Answer:

-10

Step-by-step explanation:

divide both sides by -4

simplify to v+8=-2

subtract 8 from both sides

v=-10

Answer:

70

Step-by-step explanation:

[tex]\frac{2}{7}x +\frac{1}{5}x=34[/tex]

We need to combine like terms but since they are fractions we first need to find a common denominator. The common multiple of 5 and 7 is 35 so we need to multiply 7 by 5 and 5 by 7, but we have to do the same to the numerator too.

[tex]\frac{2*5}{7*5} +\frac{1*7}{5*7}[/tex]

[tex]\frac{10}{35}x+\frac{7}{35} x=34[/tex]

Combine like terms

[tex]\frac{17}{35}x=34[/tex]

Divide 34 by [tex]\frac{17}{35}[/tex]

[tex]\frac{34}{1} *\frac{35}{17} =\frac{1190}{17} =70[/tex]

Answer:

16

Step-by-step explanation:

just divide 20 by 1  1/4

Answer:

450

Step-by-step explanation:

is the answer

Answer:

There are 0.186411 miles in 0.3 km.

Answer:

A

Step-by-step explanation:

Answer:

For a rectangle of length L and width W, the area is:

A = L*W

In this case, we start with:

L = 14ft

W = 10ft

Then the initial area is:

A = 14ft*10ft = 140ft^2

a) Now she wants to increase the same amount in each measure, then the new measures will be:

L = 14ft + x

W = 10ft + x

Now we want this new area to be twice the one that we got before, then the equation will be:

(14ft + x)*(10ft + x) = 2*140ft^2 = 280ft^2.

b) Let's solve the equation:

(14ft + x)*(10ft + x) = 280ft^2

First lets distribute the multiplication:

140ft + x*10ft + 14ft*x + x^2 = 280ft

Now let's group terms with the same power of x.

x^2 + (10ft + 14ft)*x + 140ft - 280ft = 0.

x^2 + 24ft*x  - 140ft = 0.

Now we need to solve this quadratic equation, here we must use the Bhaskara equation for quadratic equations, and we will get two solutions for x.

[tex]x = \frac{-24ft +- \sqrt{(24ft)^2 - 4*140ft*1} }{2*1} = \frac{-24ft +- 33.7ft}{2}[/tex]

Then the two solutions are:

x = (-24ft - 33.7ft)/2 = -28.9 ft

This solution is negative, so it does not make sense and we can discard it.

x = (-24ft + 33.7ft)/2 = 4.85ft

This is positive, so we can use this.

Now we can find the new length and width:

L =  14ft + 4.85ft = 18.85ft

W = 10ft + 4.85ft = 14.85ft

Answer:

each child gets 5 cards

Step-by-step explanation:

just do 10/2 and you get 5

Answer:

5 cards

Step-by-step explanation:

10 divided by 2 is 5

Answer:

Step-by-step explanation:

Answer:

x=45

Step-by-step explanation:

We know that 2y+6 and 8y-102 are vertical angles to each other. This means that 2y+6=8y-102. [tex]6y=108[/tex], which means that y=18. [tex]2\cdot(18)+6=36+6=42[/tex]. Since one line is a straight angle, it is 180 degrees we can do [tex]3x=180-45=135[/tex], so x=45.

Answer:

y = 18

x = 46

measures of the angles:

8y - 102 = 42

2y + 6 = 42

3x = 138

Step-by-step explanation:

So first remember the verticle angles theorem, which states that, when two lines intersect there will be four angles formed; the angles that are opposite from each other will be congruent, that is,  they will have the same measure.

Using this we know that opposite angles have to be congruent:

so

(2y + 6) = (8y -102)

now there is an algebra equation that can be solved by inverse operations and simplifying

2y + 6 = 8y - 102

    +102      +102

2y + 108 = 8y

-2y             -2y

108 = 6y

/6        /6

18 = y

Also, remember that two adjacent angles that form a line will add up to 180,

so

3x + (2y + 6) = 180

*note: I could have also used (8y - 102) but I choose to use (2y + 6)

so now substitute in the value of y that was found

y = 18

3x + (2 * 18 + 6) = 180

simplify

3x + ( 36 + 6) = 180

3x + 42 = 180

now use inverse operations

3x + 42 = 180

     -42     -42

3x = 138

/3      /3

x = 46

Answer:

Step-by-step explanation:

poin

Answer:2.8

or

2.83333

Step-by-step explanation:

Given : A table is given to us . The table is ,

[tex]\begin{tabular}{|c|c|}\cline{1-2} \bf Day of week & \bf Minutes Spend \\\cline{1-2} Sunday & 23 \\\cline{1-2} Monday & 38 \\\cline{1-2} Tuesday & 42 \\\cline{1-2} Wednesday & 17 \\\cline{1-2} Thursday & 29 \\\cline{1-2} Friday & 10 \\\cline{1-2} Saturday & 11 \\\cline{1-2} \end{tabular}[/tex]

To Find : The total hours spend by Marisol on reading .

Solution : Total hours spend on reading will be equal to the sum of time taken by him each day on reading .

So , total time of reading will be ;

= (23 + 38 + 42 + 17 + 29 + 10 + 11) min

= 170 min .

= 120min + 50min .

= 2 hours 50mim .

[tex]\boxed{\red{\bf Correct\:option - [d]}}[/tex]

Answer:

43.5

Step-by-step explanation:

Answer:

4 aerobics classes

Step-by-step explanation:

8 + 3x = 5x

8 = 2x

4 = x

Answer:

22.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Cross multiply:

9 * 5 = x * 18

Simplifying

9 * 5 = x * 18

Multiply 9 * 5

45 = x * 18

Reorder the terms for easier multiplication:

45 = 18x

Solving

45 = 18x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-18x' to each side of the equation.

45 + -18x = 18x + -18x

Combine like terms: 18x + -18x = 0

45 + -18x = 0

Add '-45' to each side of the equation.

45 + -45 + -18x = 0 + -45

Combine like terms: 45 + -45 = 0

0 + -18x = 0 + -45

-18x = 0 + -45

Combine like terms: 0 + -45 = -45

-18x = -45

Divide each side by '-18'.

x = 2.5

Simplifying

x = 2.5

Answer:

i have no idea

dont spam "please answer" its not cool

Answer:

C

Step-by-step explanation:

4a+10=180

4a=170

a=42.5

42.5*2=85

Answer: C. 85.0 degrees

Step-by-step explanation: First you find a using the equation they gave you. A=42.5. Then you plug it into the measures of the angles. But just by looking at the angles you can tell 2a would be the largest so you just plug a in there and you get your answer!

Answer:

67

Step-by-step explanation:

Answer:

3x² - 8x - 3y

Answer:

+4sqrt(2)

Step-by-step explanation:

Note that the horizontal distance is 8 - 4, or 4 (which is the "run") and that the vertical distance is -3 - (-7), or 4 (which is the "rise").  Applying the Pythagorean Theorem, we get:

distance = length of hypotenuse = +sqrt(4^2 + 4^2) = +4sqrt(2)

Answer:

Step 4!!!

Step-by-step explanation:

Answer:

g times 5 equals 90

Step-by-step explanation:

Answer:

g5 = 90

Step-by-step explanation:

if Greg's height is and 5 is the product of 90 that means you have to multiply g and 5 together to equal 90.

Answer:

1.) h • g4 • h = 4g•2h

2.) c • 4 • a •b = ab•4c

3.) (40)/(11•a)= (a•11)/40

4.) (20)/(4•x)= (x•4)/20

Step-by-step explanation:

Think of it as adding and flipping :)

This looks simple I belive the answer would be 35 because 4^x + 31^x = 35^x