Determine a function a(w) that models the area of the top surface of the swimming pool in terms of the width , w

Answer:

Slope of the line, m = 4/3

Step-by-step explanation:

Given;

4x - 1 = 3y + 5

Make y the subject

4x - 1 = 3y + 5

4x - 3y = 5 + 1

4x - 3y = 6

-3y = 6 - 4x

Divide both sides by -3

y = (6 - 4x) / -3

y = -2 + 4/3x

Slope intercept form is given by

y = mx + b

Where,

m = slope

y = - 2 + 4/3x

m = 4/3

Slope of the line, m = 4/3

Answer:

Above answer is INCORRECT.

The CORRECT answer is 2/3

Step-by-step explanation:

Answer:

2) 40

Step-by-step explanation:

the perimeter of Rhombus =

4 × (√(12/2)²+(16/2)² )

= 4× (√6²+8²)

= 4× (√100)

= 4×10

= 40

Q) 4 × (√(12/2)²+(16/2)² )

→ 4 × (√6²+8²)

→ 4 × (√100)

→ 4 × 10

→ 40 is the perimeter of rhombus.

You can see that the MNO triangle is similar to MKL  then  [tex]\displsystyle\ \frac{NO}{KL} =\frac{x}{ML} => \frac{12}{22} =\frac{x}{27,5} => x=\frac{12\cdot 27,5}{22} =15[/tex]                                                                  [tex]\displaystyle\ Answer: \boxed{x=15}[/tex]

Answer:

(A). y = ( x - 3 ) ( x + 4 )

Step-by-step explanation:

Answer:

+ or > depending on what you mean exactly

Step-by-step explanation:

-7x<6-9

-7x<-3

x>3 (remember to flip the sigh)

the sign is the > symbol , or positive, not sure what you mean really

Answer:

y = 4/1 + 0

Step-by-step explanation:

we rise 4 units up and move 1 unit to the right

and the y intercept is 0 because its exactly in the center of x and y axis

Answer:

range = 10

Step-by-step explanation:

The range is the difference between the largest and smallest values in the data set.

largest value = 12

smallest value = 2

range = 12 - 2 = 10

Answer:

slope = - 2

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 ) = (- 2, 5) and (x₂, y₂ ) = (3, - 5)

m = [tex]\frac{-5-5}{3-(-2)}[/tex] = [tex]\frac{-10}{3+2}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2

Answer:

(1,1)

Step-by-step explanation:

In the equation f(x), you are plugging in the x coordinate which in this case is one. That means in 1/4f(x), x will remain the same, because you are still plugging in the same thing. What will change is the y coordinate. 1/4f(x) is saying that the y coordinate will be a fourth of the original y coordinate(4). 4 times 1/4 is equal to one.

If the x coordinate stays the same, and the y coordinate is a fourth of 4, the corresponding points in the function f(x) will be (1,1)

Write the scale of the drawing as a fraction. Put the shorter length in the numerator.

[tex] \frac{7 \: cm}{1 \: cm} \\ [/tex]

First convert the denominator to the same units as the numerator. Write an equivalent fraction with centimeters in the denominator. Since 1 meter is equal to 100 centimeters, multiply the denominator by 100 to get centimeters in the denominator.

[tex] \frac{7 \: cm}{100 \: cm} = \: \frac{7}{100} \\ [/tex]

Write the scale factor as a ratio, using a colon

7/100   →  7:100

The scale factor is 7:100.

[tex] \\ [/tex]

#CarryOnLearning!

Answer:

First Box: -10/5

Second Box = -1.25

Third Box = -0.5

Fourth Box = 0.75

Fifth Box = 3/2

Step-by-step explanation:

NOTE: I AM SAYING THIS FROM LEFT TO RIGHT

Answer:

The first box should be -[tex]\frac{10}{5}[/tex] ;

The 2nd box should be -1.25 ;

The 3d box should be -0.5 ;

The 4th box should be 0.75 ;

The 5th box should be 3/2 which is the last box left.

Answer:

3(b+2)balls

Step-by-step explanation:

Given data

number of bags of golf balls= 3

number of balls in each bag=b

total number of balls in all three bags= 3b

His friend gave him 6 more= 3b+6

Hence the total balls is = 3b+6

= 3(b+2)balls

Answer:

D) the scaled triangles perimeter is 1/3 the size of the original triangles perimeter

Step-by-step explanation:

Given

Original:

[tex]Height = 18, Slant = 30, Length =24[/tex]

Scaled:

[tex]Height =6, Slant=10, Length=8[/tex]

Looking at the dimension of both triangles, The relationship between the original and the scaled copy is:

[tex]Scaled = \frac{1}{3} * Original[/tex]

Hence, the perimeter is:

[tex]Perimeter (Scaled) = \frac{1}{3} * Perimeter (Original)[/tex]

Answer:

end behavior

Step-by-step explanation:

Answer:

9/16

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

A = (3/4)^2

A = 9/16

Given:

The parent function is:

[tex]f(x)=2^x[/tex]

The other function is:

[tex]g(x)=2f(x)[/tex]

To find:

The statement that describes a key feature of function g.

Solution:

We have,

[tex]f(x)=2^x[/tex]

[tex]g(x)=2f(x)[/tex]

Using these two functions, we get

[tex]g(x)=2(2)^x[/tex]

Putting [tex]x=0[/tex], we get

[tex]g(x)=2(2)^{(0)}[/tex]

[tex]g(x)=2(1)[/tex]

[tex]g(x)=2[/tex]

The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.

We know that [tex]g(x)\to 0[/tex] as [tex]x\to -\infty[/tex] and it will never intersect the line [tex]y=0[/tex]. It means the horizontal asymptote of the function g is

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

Answer:

i think the new points are

A(1,-2)

B(-2,-3)

C(4,5)

Step-by-step explanation:

i plugged it in

Answer:

Step-by-step explanation:

Skewed left

50-60 and 60-70

8

Answer:

[see below]

Step-by-step explanation:

Vertical angles are simply opposite angles that are made from intersecting lines.

The most appropriate pairs would be vertical pairs:

∠NSI and ∠TSW

∠NST and ∠ISW

The angles are opposite of each other and formed from the two lines.

Hope this helps.

Answer:

Well, in geometry, the properties would be that the angles produced by the intersection of the diagonals are right angles. A kite is basically entertainment, made by cloth and string

A kite is a four sided shape. Like an elongated rectangle.a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other instead of being adjacent. Kite quadrilaterals are named for the wind-blown, flying kites, which often have this shape and which are in turn named for a bird. Kites are also known as deltoids, but the word "deltoid" may also refer to a deltoid curve, an unrelated geometric object.Kites have been used for human flight, military applications, science and meteorology, photography, lifting radio antennas, generating power, aerodynamics experiments, and much more.

Answer:

Exponential growth is a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.

Answer:

The answer is probably B. If not it might be C.

Step-by-step explanation:

Exponential growth is growth that becomes more and more rapid. I hope this helps :).

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

<D = 30

< C = 65

<B = <E = 85

16 = BC

Step-by-step explanation:

ABC ~ Triangle DEF

<A = <D = 30

< C = <F = 65

Since they are similar triangles

A+ C + B = 180 since the angles of a triangle = 180

30+65+B =180

95+ B = 180

<B = 180 -95 = 85

<B = <E = 85

The triangles are similar so the sides are proportional

AB      BC

----  = ---------

DE      EF

20      BC

----  = ---------

35      28

Using cross products

20*28 = 35 BC

Divide each side by 35

20*28/35 = 35/35 BC

16 = BC

Answer:

The Total Value of Expenses is $14,350

Step-by-step explanation:

AMOUNT

Depreciation Expense $ 2,000

Wage Expense $ 10,950

Interest Expense $ 500

Supplies Expense $ 500

Utility Expense $ 400

TOTAL $ 14,350

Answer:

please write in the comments ,the total minutes she spent in the gym , then only we can solve the answer , without total minutes we cannot solve this question

Answer:

13 minutes lifting weights.

Step-by-step explanation:

Diana spent a total of 25 minutes and spent 12 more minutes running than she did lifting weights. So if you subtract 25 from 12 you get 13.

Answer:

1/3 kilograms

Step-by-step explanation:

Find k if (x+1) is a factor of 2x³ + kx² + 1

k = 1

The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.

This is because;

i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.

ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e

=> (-3)² - 9

=> (9) - 9 = 0

Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.

From the question

Given polynomial: 2x³ + kx² + 1

Given factor: x + 1.

Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e

2(-1)³ + k(-1)² + 1 = 0

2(-1) + k(1) + 1 = 0

-2 + k + 1 = 0

k - 1 = 0

k = 1

Therefore the value of k is 1.

Step-by-step explanation:

the length of AB = √(9+3)²+(5-9)²

= √144+16=√180 = 6√5

the length from A to E = ⅜× 6√5

= 2.25 √5 or 5.03

Length of AB,

→ √(9+3)² + (5-9)²

→ √144+16

→ √180

→ 6√5

Length from A to E,

→ ⅜ × 6√5

→ 2.25 √5

→ 5.03

Answer:

1. The preimage and image are congruent

2. Any line segment connecting the corresponding points between the preimage and image is bisected by the line of reflection

3. Corresponding angles on the preimage and image are congruent

4. Corresponding points of the preimage and image are equidistant from the line of reflection.