Mathematics High School

Evaluate and simplify the following complex fraction.

Answers

Answer 1

Answer:

-10/7

Step-by-step explanation:

(-5/7)/(2/4) = (-5/7)/(1/2) = (-5/7)*(2/1) = -10/7

Related Questions

Write a series of rigid motions that transform pentagon ABCDE to pentagon A′B′C′D′E′

Answers

Answer:

We need the following three rigid motions:

i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.

Step-by-step explanation:

We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':

i) Reflection around y-axis:

[tex](x',y') = (-x,y)[/tex] (Eq. 1)

ii) Translation three units in the -y direction:

[tex](x'',y'') = (x', y'-3)[/tex] (Eq. 2)

iii) Translation four units in the -x direction:

[tex](x''',y''') = (x''-4, y'')[/tex] (Eq. 3)

We proceed to proof the effectiveness of operations defined above by testing point D:

1) [tex]D(x,y) = (-1, 4)[/tex] Given.

2) [tex](x',y') = (1,4)[/tex] By (Eq. 1)

3) [tex](x'',y'') = (1, 1)[/tex] By (Eq. 2)

4) [tex]D'(x,y) = (-3,1)[/tex] By (Eq. 3)/Result

The premium membership at a health club is $40 per month. This is
$15 more than the cost of a standard membership. What is the cost of a standard
membership? Do not type the $ in your answer.
Quick I need help!!!!! Plzzz help meeeee!!??!!!??!?

Answers

Answer: 25

Step-by-step explanation:

Find the slope of the line that passes through (5,2) and (4,-1)

Answers

Answer:

Step-by-step explanation:

2 - -1= 3

5-4 = 1

3/1 = 3

3. The answer is 3. That is the answer

Can y’all help me please like bro omg idk

Answers

4: linear
5: quadratic
6: exponential
7: inverse variation

Answer:

#4. linear

#5. quadratic

#6. exponential

#7. inverse

Help me solve this problem please

Answers

Answer:

Step-by-step explanation:

What is the result when 9x3 + 9x2 + 17x + 10 is divided by 3x + 2?

Answers

Answer:

61x over 3

=16? on a graph

Step-by-step explanation:

Brenda and Shayna are selling flower bulbs for a school fundraiser. Customers can
buy bags of windflower bulbs and packages of crocus bulbs. Brenda sold 5 bags of
windflower bulbs and 5 packages of crocus bulbs for a total of $145. Shayna sold 3
bags of windflower bulbs and 5 packages of crocus bulbs for a total of $121. Find
the cost of one bag of windflower bulbs.

Answers

Given :

Customers can buy bags of windflower bulbs and packages of crocus bulbs. Brenda sold 5 bags of windflower bulbs and 5 packages of crocus bulbs for a total of $145.

Shayna sold 3 bags of windflower bulbs and 5 packages of crocus bulbs for a total of $121.

To Find :

The cost of one bag of windflower bulbs.

Solution :

Let, cost of one bag of windflower bulbs and crocus bulbs is x and y.

Converting given statement to mathematical equation, we get :

5x + 5y = 145

x + y = 29 ...1)

and

3x + 5y = 121 ...2)

Solving equation 1 and 2, we get :

3( 29 - y ) + 5y = 121

87 - 3y + 5y = 121

2y = 34

y = 17

and x = 12

Therefore, cost of one bag of windflower bulbs is $12 .

Hence, this is the required solution.

In △XYZ, suppose XY < XZ. Which inequality relates two angles in △XYZ?

Answers

Answer:

m∠Z < m∠Y

Step-by-step explanation:

m∠Z < m∠Y

The inequality that relates the two angles in triangle XYZ is m∠Z < m∠Y

From the question, we have:

Triangle XYZSide length XY is less than side length XZ

This means that, the angle at point Y is greater than the angle at point Z

i.e. m∠Y > m∠Z

Rewrite the inequality as:

m∠Z < m∠Y

Hence, the inequality that relates the two angles in triangle XYZ is m∠Z < m∠Y

Answers

Answer:

x ≈ 44.69

Step-by-step explanation:

x² = 30² +21² -2(30)(21)Cos123°

x² = 900 + 411 - 1260cos123°

x² = 1311 - 1260cos123²

~Take square root of both sides

x = √1997.245184111

x ≈ 44.69

Best of Luck!

A table showing Pounds, Price per Pound, and Total Price. The first row shows Granola, with the entries, 3, 3, and 3 times 3. The second row shows Raisins, with the entries 0.75, 2, and 0.75 times 2. The third row shows Mixture, with the entries 3 plus 0.75, x, and left-parenthesis 3 plus 0.75 right-parenthesis x. Marion is making trail mix for a group camping trip. She buys 3 pounds of granola for $3 per pound and 0.75 pounds of raisins for $2 per pound. What equation can you use to find the price per pound of the trail mix? 3(3)(0.75)(2) = (3 + 0.75)x 3(3) + 0.75(2) = (3 + 0.75)x 3(3)(0.75)(2) = (3 + 0.75) + x 3(3) + 0.75(2) = (3 + 0.75) + x

Answers

Answer:

Step-by-step explanation:

Hope this help

Answer: B

B.) 3(3) + 0.75(2) = (3 + 0.75)x

Step-by-step explanation: i hope this helps :)

solve for X
3x - 6 = 30

Answers

Answer:

The answer is x=12

Step-by-step explanation:

3x - 6 = 30

3x-6+6=30+6

3x=36

To find x divide both sides by 3.

3x/3=36/3

x=12

WHATS 3 + 2??? I CANT FIGURE IT OUT. 50 POINTS FOR YOU

Answers

Answer:

Step-by-step explanation:

Answer:

3+2 is 5

Step-by-step explanation:

Thank you for the points! :)

Which best explains why all equilateral triangles are similar?

all equilateral triangle’s can be mapped onto each other using dilations

all equilateral triangle can be mapped onto each other using rigid transformations

all equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations

all equilateral triangles are congruent and therefore similar with side links and a 1:1 ratio

Answers

Answer:

Step-by-step explanation:

I hope this helps you out!

Answer:

all equilateral triangle’s can be mapped onto each other using dilations.

Step-by-step explanation:

Because you can dilate or increase the size and scale the triangle about a certain point so if you do it correctly, this can be done with just a dilation.

Also an equilateral triangle is defined as a triangle where all the sides are congruent in length. This does not mean that all equilateral triangles are congruent (Do not get confused with D) to each other since size is the undefined variable so all equilateral triangles are proportional which means that they always have a ratio between them depending on the scale factor.

For example, let's say I have an equilateral triangle with a side length of 2, this means that all the sides must have a length of 2, but I can also have an equilateral triangle with a side length of 3, which means that all the sides will have that length for that triangle.

2 ≠ 3, but there is always a conversion factor between the side lengths. In this case a scale factor of 3/2 from the triangle with a side length of 2 to the one with a side length of 3. And a scale factor of 2/3 going from the triangle with a side length of 3 to the triangle with a side length of 2. Because all the sides are congruent, the angles must all be 60° degrees because individual side proportions defined by trigonometry are based on angles and sides. Thus, the angles are also affected due to the change in ratio.

What is the solution to the equation x - 5 = 15?

Answers

Answer:

x=20

Step-by-step explanation:

x - 5 = 15

x +5 = +5

x = 20

Answer:

Step-by-step explanation:

if u go on your calculator there is a math button click it and go to numrical equations and type it out the first block is the numbers and stuff in front of the equal sign and the second block is after it

which equation is equivalent to 3/2x -4y+1=0

Answers

Answer:

the fourth option

Step-by-step explanation:

i googled it

Answer:the 2nd to the very bottom one

Step-by-step explanation:

Don’t wanna tell

What is the value of K?
k=
m
k
N
1
M

Answers

Answer:

Step-by-step explanation:

k=1

the value of k is 1

hope this helps ya!

Selena is graphing the inequality x <-2. She begins by drawing a number line and placing an open circle at -2
-7 -6 -5 -4 -3 -2 -
0
1
2 3
Which could be Selena's next step?
O shading the number line to the left of the open circle
O shading the number line to the right of the open circle
O shading the number line to the right and left of the open circle
O shading in the open circle
Look at the picture

Answers

Answer:

shade the number line to the left of the open circle

Step-by-step explanation:

x is less than - 2, so it could be any number lower than -2. for example, -3, -4, -5, etc.

Answer:

A. shade the number line to the left of the open circle

Step-by-step explanation:

Tell me 3 points that would be on the graph of y = 2x + 3

Answers

Answer:

-1.5,0, 0,3 and -4,-5

Step-by-step explanation:

That is form of y= mx+b so you have one point is (0,3) and other can be this (1,5) (2,7)

are -1/2 and 2 perpendicular

Answers

Answer:

Well, if -1/2 and 2 are slopes of 2 lines, then yes, they are perpendicular.

Step-by-step explanation:

The slope of a perpendicular line is the opposite reciprocal of another line.

Normal line's slope: x

Perpendicular line's slope: -1/x

У
y = [?]
Enter the number that belongs in
the green box
Enter

Answers

Answer:

[tex]y = {60}^{o} [/tex]

Step-by-step explanation:

From the markings in the diagram, both triangles are equilateral and each angle in an equilateral triangle is 60°

What is the value of 5k^-4 if k = -2?

Answers

Answer:

-0.3125

Step-by-step explanation:

5k^-4 when k = -2

~Substitute

5(-2)^-4

~Take the exponent

5(-0.0625)

~Multiply

-0.3125

Best of Luck

Which can be used to expand the expression below?
5 (3 x minus StartFraction 6 over 7 EndFraction)
associative property
commutative property
distributive property
subtracting

Answers

Distributive propert

Answer:

the 3ed one distributive property

Step-by-step explanation:

PLEASE HELP ASAP!!!!!! i’ll mark brainlest

Answers

Answer:b

Step-by-step explanation:

Answer:

Step-by-step explanation:

A kilogram is the same as 1,000 grams.

HTH :)

If you are given the graph of a line and are asked to write the equation of a perpendicular line, does it matter what the y-intercept will be for the equation you write? Why or why not?

Answers

Yes because the y intercept would be a different value for the new equation unless it is zero

i need help with 4, 5, and 6

Answers

Answer:

To find the slope you do rise/run and the slope for 4 is 6/5 the slope for 5 is ZERO slope or 0/5 I know because it goes 0 times up and 5 times to the right. And for 6 is UNDEFINED slope or 6/0 because it goes 6 times up and 0 time to the sides

Step-by-step explanation:

Answer:

4. 6/5 5.zero 6. undefined

Step-by-step explanation:

so you do y1-y2/x1-x2

4-(-2)/2-(-3)

6/5

5. because it doesn't go up or down

6. because the x doesn't change

Prove that sin(3x)/sin(x)·cos(x) = 4cos(x)-sec(x)

Answers

Here is a huge hint:

sin(3x) = 3 sin (x) - 4(sin x)^3

sec (x) = 1/sin(x)

Take it from here.

The expression {4 cos(x) - sec(x)} is equivalent to {sin(3x)/sin(x) cos(x)} is proved below.

What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is the equation -

sin(3x)/(sin(x)·cos(x)) = 4cos(x) - sec(x)

We have the following equation -

{sin(3x)/(sin(x)·cos(x)} = 4cos(x) - sec(x)

Now, we know -

sin3x = 3 sin x - 4 sin³x

So, we can write -

(3 sin x - 4 sin³x)/(sin(x)·cos(x) = 4cos(x) - sec(x)

sin(x) (3 - 4sin²x) / sin(x) cos(x) = 4cos(x) - sec(x)

(3 - 4sin²x)/cos(x) = 4cos(x) - sec(x)

(3 - 4sin²x) = cos(x){4 cos(x) - 1/cos(x)}

(3 - 4sin²x) = 4cos²x - 1

3 + 1 = 4cos²x + 4sin²x

4 = 4(cos²x + 4sin²x)

4 = 4

1 = 1

LHS = RHS

Therefore, it is proved that the expression {4 cos(x) - sec(x)} is equivalent to {sin(3x)/sin(x) cos(x)}.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

From a hot air balloon 2,500ft above the ground you see a clearing whose angle of depression is at 25 degrees. What is the horizontal distance form the clearing to the nearest feet

Answers

9514 1404 393

Answer:

5361 feet

Step-by-step explanation:

The tangent of the angle is the ratio of vertical distance to horizontal.

tan(25°) = (vertical distance)/(horizontal distance)

horizontal distance = (2500 ft)/tan(25°) ≈ 5361 feet

The next two terms of the sequence 4, 7, 10, 13 are *

Answers

Answer:

4, 7, 10, 13, 16, 19

Step-by-step explanation:

The sequence is going up by 3 simply keep adding 3.

A holiday costs £1900. Work out the
price after a 9% discount.

Answers

Answer:

$1729

Step-by-step explanation:

[tex]\frac{100-9}{100} * 1900[/tex]

Answer:

1729

Step-by-step explanation:

1900 divided by 100 is 19

1% equals 19

1 times 9 equals 9

19 times 9 equals 171

171 = 9%

171 - 1900 = 1729

price after a 9% discount is 1729

Find the greatest and least values of arg z if (z +2i = 1)

Answers

Answer:

1 is least 2 is greatest

Step-by-step explanation:

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