Find the area of the parallelogram

Answer: The answer is c

Explanation:

Complete Question:

g(x), represents transformations on the parent function of [tex]y = (\frac{1}{2})^x[/tex].

Write the equation for g (x ) with the following transformations:

Reflect over y-axis, and shift right 7

Answer:

[tex]g(x) = (\frac{1}{2})^{-x-7}[/tex]

Step-by-step explanation:

Given

[tex]y = (\frac{1}{2})^x[/tex]

Represent the function as:

[tex]f(x) = (\frac{1}{2})^x[/tex]

Taking the transformations, one after the other:

Reflect over the y-axis.

This is represented by the rule: (x,y) ==> (-x,y)

So, we have:

[tex]f'(x) = (\frac{1}{2})^{-x}[/tex]

Shift right 7 units

This is represented by (x,y) = (x - b, y)

Where b represents the number of units

So, we have:

[tex]f'(x-7) = (\frac{1}{2})^{-x-7}[/tex]

Hence:

[tex]g(x) = (\frac{1}{2})^{-x-7}[/tex]

Answer:

Here are what they equal in their simplest forms!

Step-by-step explanation:

Sin D & Cos E were originally equal to 13 -/3 over 26

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Sin E & Cos D were originally equal to 13/26

-

Hope I was able to help!

Answer:

sin D = FE/DE = 13√3 /26 = √3 /2

sin E = DF/DE = 13/26 = ½

(sin E = cos D)

cos D = DF/DE = 13/26 = ½

cos E = EF/DE = 13√3 /26 = √3 /2

(sin D = cos E)

Step-by-step explanation:

2(x+10)=60

x+10=60/2

x=30-10=20

Answer:

x = 7 cm

Step-by-step explanation:

12x9 + 3x = 129

108 + 3x = 129

3x = 21

x = 7 cm

The value of x will be;

⇒ x = 2.3 cm

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The shape has area 129 cm².

Now,

Since, The shape has area 129 cm².

And, The Length of the large rectangle = (12 + x) cm

And, The width of the rectangle = 9 cm

We know that;

The area of rectangle = Length × Width

⇒ 129 = (12 + x) × 9

⇒ 129/9 = 12 + x

⇒ 14.3 = 12 + x

⇒ x = 14.3 - 12

⇒ x = 2.3 cm

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Answer:

5b

Step-by-step explanation:

Answer:

what sign is between 4b and 5b

Step-by-step explanation:

Answer:

[tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex]

Step-by-step explanation:

Given rational expression is,

[tex]\frac{2x^2+5x-14}{x-2}[/tex]

x - 2) 2x² + 5x - 14(2x + 9

         2x² - 4x

                  9x - 14

                  9x - 18

                          4

Therefore, [tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex] is the answer.

Answer:

b) 500

16x = (141)^2 - (109)^2

or, 16x = 19881 - 11881

or, x = 8000/16=500

Answer:

n ε{-2,-1,0} with n being integer

Answer:

I dont know what sin is

Step-by-step explanation:

Answer:

x = 22

Step-by-step explanation:

19+23=2X-2

42 = 2x - 2

-2x = -2 - 42

-2x = -44

x = 22

hope this helps

Answer:

f(-1) = 1

Step-by-step explanation:

Are you missing a number after the negative in f(-)?

If so, let me solve for f(-1) so substitute in the n with a -1 so f(-1) = 5(-1) + 6

so f(-1) = -5 + 6 so f(-1) = 1

Answer:

1. B

2. A

3. C

Step-by-step explanation:

Answer:

7 melons

Step-by-step explanation:

So we first figure out the unit price of each melon by dividing 7.5 with 3 and you get $2.5 per melon. Then you divide 17.5 by 2.5 and then you should get 7.

Answer: $117,000

Step-by-step explanation:

The maximum that Arianna may borrow is 2.5 times her annual income.

First step therefore, would be to calculate her annual income:

= 900 * 52 weeks

= $46,800

She may borrow 2.5 times this:

= 46,800 * 2.5

= $117,000

Answer:

[tex]\frac{10\sqrt{6} }{3}[/tex] and [tex]\frac{11\sqrt{3} }{3}[/tex]

Step-by-step explanation:

(a)

A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]

   = 2[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]

   = [tex]\frac{10\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator

= [tex]\frac{10\sqrt{6} }{3}[/tex] units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4[tex]\sqrt{2}[/tex] )² + ([tex]\frac{5}{\sqrt{3} }[/tex] )²

    = 32 + [tex]\frac{25}{3}[/tex]

    = [tex]\frac{96}{3}[/tex] + [tex]\frac{25}{3}[/tex]

    = [tex]\frac{121}{3}[/tex] ( take the square root of both sides )

h = [tex]\sqrt{\frac{121}{3} }[/tex] = [tex]\frac{11}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator

h = [tex]\frac{11\sqrt{3} }{3}[/tex]

Answer:

Try C it probably is your answer

Answer:

y=-2x+5

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

Answer:

Weekly deposit= $18.42

Step-by-step explanation:

Giving the following information:

Number of weeks= 18

Total amount of money= $331.56

She deposited the same amount of money each week.

To calculate the weekly deposit, we need to divide the total savings by the number of weeks:

Weekly deposit= 331.56 / 18

Weekly deposit= $18.42

Answer:

18t-72

Step-by-step explanation:

Answer:

2 years

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year,

then, solving our equation

t = 84 / ( 600 × 0.07 ) = 2

t = 2 years

The time required to

accumulate simple interest of $ 84.00

from a principal of $ 600.00

at an interest rate of 7% per year

is 2 years.

Given:

44 cu. cm of wire is drawn into a wire of diameter 2 mm.

To find:

The length of the wire.

Solution:

We know that,

1 cm = 10 mm

1 cu. cm = 1000 cu. mm

We have, a wire of cylindrical shape.

Volume of the wire = 44 cu. cm

                                = 44000 cu. mm

Radius of the wire = 2 mm

Volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

Where, r is the radius and h is the height.

Putting V=44000, [tex]\pi=\dfrac{22}{7}[/tex] and r=2, we get

[tex]44000=\dfrac{22}{7}\times 2^2\times h[/tex]

[tex]44000\times \dfrac{7}{22}=4h[/tex]

[tex]14000=4h[/tex]

Divide both sides by 4.

[tex]\dfrac{14000}{4}=h[/tex]

[tex]3500=h[/tex]

Therefore, the length of the wire is 3500 mm or 350 cm.

Answer:

y=15

Step-by-step explanation:

Since the triangles are similar you take 22/33 and 10/y then cross multiply and get 330=22y now divide 330 by 22 and you get 15

The value of x is 26.4 unit and y is 15 units,

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

Given:

As, the two triangles are similar then the ratio of their corresponding sides and angles are equal.

So, 22/ 10 = 33/ y

22y = 330

y = 330/22

y = 15

and, 22/10 = x/ 12

264 = 10 x

x= 26.4

Hence, the value of x is 26.4 unit and y is 15 units,

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Answer:

A. 7/14, 2/5, 32%, and .25

Answer:

B.  [tex]x = -4\,\lor \,x = -1[/tex]

Step-by-step explanation:

Let [tex]\sqrt{-4-5\cdot x} = x[/tex], we solve for [tex]x[/tex] by algebraic means.

1) [tex]\sqrt{-4-5\cdot x} = x[/tex] Given

2) [tex]-4-5\cdot x = x^{2}[/tex] Definition of power/Symmetry of equality

3) [tex]x^{2}+5\cdot x + 4 = 0[/tex] Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property

4) [tex](x+4)\cdot (x+1) = 0[/tex]         [tex]x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)[/tex]

5) [tex]x = -4\,\lor \,x = -1[/tex] Result

Hence, the correct answer is B.

Answer:

B. Cross multiplication method

Step-by-step explanation:

Hope this will help

Answer:

B. Cross multiplication method

Step-by-step explanation:

Have a good day

Question 5

Flat fee = $6

Question 6

The group should charge $65 for 15 bags of leaves.

Question 7

The relationship between the amount charged and the number of bags filled is linear.