Which of the following interpretations for the given expression is correct?

(x + 9)² - 4

A.The sum of the square of x and 9 - 4.

B. The difference of the square of x and 9 - 4.

C. The sum of the square of x, 9, and -4.

D. The difference of the square of x + 9 and 4.

Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.

To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:

Step 1: Draw the angle ABC with a straightedge.

Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.

Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.

Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.

Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.

In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.

For more questions on Angle.

https://brainly.com/question/31615777

#SPJ8

so , bro to multripy fractions , you have to convert the mixed fraction into unlike fractions . so lets get started.

2 3/4  *  1 1/3

= 12 / 4  * 4/3

now multiply normally

= 48 / 12

divide this by 4/4 to get simplest for

= 12 / 3 divided by 3/3

= 4/1

Step-by-step explanation:

Answer:

The graph is in the pic

Step-by-step explanation:

Answer: 7.5

Step-by-step explanation:

5x3 = 15 A = 1 half L x H

A = (3)(5)

A = 15

A =  15 x 1 half = 7.5

correct me if i am wrong.

to be honest, they have sold "x" copies total, which oddly enough is the 100%, now we also know that 31,500 is 8.2% of "x", hmmm

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 31500& 8.2 \end{array} \implies \cfrac{x}{31500}~~=~~\cfrac{100}{8.2} \\\\\\ 8.2x=3150000\implies x=\cfrac{3150000}{8.2}\implies x\approx 384146\)

Answer:

-7r^3 - r^2 +7

Step-by-step explanation:

"/÷"/÷"/÷$/π*/÷"÷"÷/$∆|¶$/*)√*)6#/√*/

\((r^3-9r^2+3r)-(8r^3-8r^2+3r-7)=\\\\=r^3-9r^2+3r-8r^3+8r^2-3r+7=\\\\=r^3-8r^3-9r^2+8r^2+3r-3r+7=\boxed{-7r^3-r^2+7}\)

Answer: 16,200,000

Step-by-step explanation: divide both numbers

The future value of her deposit would be in 5 years.

The total amount needed to start a cupcake cafe venture

= $9,000

Deposit per year = $1,800

Therefore, if $1,800 = 1 year

$9,000 = X

\(x = \frac{9000}{1800} \)

\(x = 5\)

Therefore in 5 years, Jamie Lee would be able to start her cupcake café venture.

Learn more about savings here:

https://brainly.com/question/25787382

Answer:

8 units

Step-by-step explanation:

Area of square:

length * width

2 * 3

= 6  units

Area of triangle:

1/2 * base * height

1/2 * 2 * 2

= 2 units

Area of entire shape:

6 + 2

= 8 units

So, the area of the shape is 8 units.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Answer:

control group: second batch

explanatory variable: new brand of yeast

response variable: height, texture, and taste

Step-by-step explanation:

Answer:

Explanatory variable = new brand of yeast

Response variable = height, texture, and taste

Control group = first batch

**See screenshot of graded answer

Answer:

log a + 3 . log c - log b

Step-by-step explanation:

2nd option is the correct answer

Answer:

log a + 3 . log c - log b

Step-by-step explanation:

✌️❤️✌️

Expression for fish is

X= number of plates

Y= number of Loaches

Then total cost T is

T= 2X + 4Y

Answer is

T= 2X + 4Y ,. Fish price

Step-by-step explanation:

\( = a(a + ab - c) - bc\)

\( = {a}^{2} + {a}^{2} + ab - ac - bc\)

\( = {2a}^{2} + ab - ac - bc\)

Answer:

x=12

Step-by-step explanation:

As a straight line is equal to 180. Here, we have one angle given, which is 134. So,

w+134=180

w=46

And the sum of all the angles of a triangle is equal to 180.

By adding all the angles,

8x-10+5x-12+46=180

13x-22+46=180

13x+24=180

13x=180-24

13x=156

x=156/13

x=12

Step-by-step explanation:

➝8x-10+5x-12=134

➝8x+5x-10-12=134

➝13x-22=134

➝13x=134+22

➝13x=156

➝x=156/13

➝x=12

Answer:

3(x + 5y) - 2(x + y)

3x + 15y - 2x - 2y

x + 13y

(3x + 15y) + (-2x + -2y)

x + 13y

A and D because they are both related unlike C and D.

Answer and explanation:

An equation is a statement that indicates that two expressions are equal. The equals sign "=" is used to indicate that both sides of the equation are equal ie that expressions or values in both sides of the sign are equal.

We create an equation using the digits above :

8x6x5x4x2x1= 1920

From the above we observe that the expressions on the Left evaluate to 1920 equal to the value on the right 1920

Answer:

(a) Bako is 10 years old

(b) His mother was 30 years old when Bako was 5

(c) Bako will be 25 years old when his mother is 50

(d) Bako's mother was 25 years old when he was born

(e) The difference between Bako's age & his mother's is 25 years

Step-by-step explanation:

Let Bako's age five years ago be x years

Presently, Bako is 2x years old (according to the 1st statement)

Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.

This simply means that Bako's present age is BOTH 2x years & (x + 5) years.

We have to equate them since they mean the same thing (Bako's present age)

x + 5 = 2x

2x - x = 5

Therefore x = 5 years

Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.

This simply means that Bako's age now is 10 years old.

His mother was then six times 5 years = 30 years old (from the 2nd statement).

If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.

This simply means that Bako's mother is older than him with 25 years.

Therefore, Bako will be 25 years old when his mother is 50 years old

Answer:

A line supplementary to AOD is AOC.

A line adjacent and congruent to AOE is COE (I think)

A line supplementary to EOA is EOC

A line complimentary to EOD is DOC

DOC and AOB are vertical angles.

Step-by-step explanation:

I think all of those are correct.

Answer:

6x² - 19x + 15

Step-by-step explanation:

(2x - 3)(3x - 5)

each term in the second factor is multiplied by each term in the first factor , that is

2x(3x - 5) - 3(3x - 5) ← distribute parenthesis

= 6x² - 10x - 9x + 15 ← collect like terms

= 6x² - 19x + 15

when k = 1

z = 6k

z = 6(1) =6

z = 6

Answer:

43

Step-by-step explanation:

Green:  9 - 2(-3) = 9 + 6 = 15

Red:  -2(-3) + 4 = 6 + 4 = 10

Dark blue:  7x + 5 = 19

7x = 19 - 5 = 14

x = 14/7 = 2

Light blue:  6x + 3 = 21

6x = 21 - 3 = 18

x = 18/6 = 3

Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43

Answer: the answer is D which is x = 11

Step-by-step explanation: swap sides so that all variable terms are on the left-hand side. Add 11 to both sides then add 44 and 11 to get 55. after that divide both sides by 5 then 55 divided by 5 to get to 11.

Raising the minimum wage has the potential to reduce poverty, boost economic growth, reduce income inequality, and provide fair compensation for low-wage workers.

According to a report by the National Bureau of Economic Research, increasing the minimum wage has a significant effect on reducing poverty rates among low-wage workers. A higher minimum wage would allow low-wage workers to better meet their basic needs, such as housing, food, and healthcare.

A higher minimum wage can boost consumer spending, which in turn can drive economic growth. The Economic Policy Institute estimates that raising the minimum wage to $15 per hour would increase the pay of nearly 32 million workers and generate over $107 billion in additional wages.

Learn more about minimum wage:https://brainly.com/question/25863464

#SPJ1

Answer:

  c) BC/tan(20°)

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you remember the relations between trig functions and angles. It tells you ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

In the case of the present triangle, these relations mean ...

  sin(B) = AC/BC   ⇒   AC = BCsin(70°)

  cos(C) = AC/BC   ⇒   AC = BCcos(20°)

  tan(B) = AC/BA   ⇒   AC = BAtan(70°)

  tan(C) = BA/AC   ⇒   AC = BA/tan(20°)

__

The answer choice that is not on this list is ...

  c) BC/tan(20°) . . . . . . not equivalent to AC

_____

Additional comment

The interior angle at C is the supplement of the given angle 160°. These angles form a linear pair.

  C = 180° -160° = 20°

The interior angle at B is the complement of the interior angle at C.

  B = 90° -20° = 70°

Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

Step-by-step explanation:

firstly suppose f(X) as y and later interchange it with x and solve it to get inverse function of x.

The inverse of the given function is \(f^{-1}(x)=\dfrac{x+4}{2}\).

Important information:

We need to find the inverse of the given function.

Substitute \(f(x)=y\).

\(y=2x-4\)

Interchange \(x\) and \(y\).

\(x=2y-4\)

Isolate \(y\).

\(x+4=2y\)

\(\dfrac{x+4}{2}=y\)

Substitute \(y=f^{-1}(x)\).

\(\dfrac{x+4}{2}=f^{-1}(x)\)

Thus, the inverse of the given function is \(f^{-1}(x)=\dfrac{x+4}{2}\).

Find out more about 'Inverse of a function' here:

https://brainly.com/question/11926240

Answer:

479 ft^2

Step-by-step explanation:

Area of the bottom rectangle =  30 X 20 = 600 sq ft

  then subtract the areas of the window and the door

     600 -  (5x3) - (2x3) = 579  ft^2

Then add the triangular top area

 1/2  (20)(10) = 100

579 - 100 = 479 ft^2