24. Woodworking A birdhouse has a square base with
side length 3x - 4. What polynomial in standard
form represents the area of the base?

Answers

Answer 1

Answer:

9x² - 24x + 16

Step-by-step explanation:

Formula for the area of the square base = s²

Where,

s = side length = 3x - 4

Therefore:

Area of the base = (3x - 4)²

Expand

(3x - 4)(3x - 4)

3x(3x - 4) -4(3x - 4)

Apply the distributive property

9x² - 12x - 12x + 16

Add like terms

9x² - 24x + 16

Area of the base in standard form = 9x² - 24x + 16

Answer 2

Answer:

9x^2 -24x +16 units^2

Step-by-step explanation:

(3x-4)^2 = 9x^2 -24x +16


Related Questions

This scrrenshot is the question and the the right answer for a test

Answers

Answer:

3.53

Step-by-step explanation:

(pythagoras theorem | year 9)

Answers

Answer:

In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.

If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.

Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.

we observed that

9.89cm <11cm.

Therefore we show that:

the square will fit inside the circle without touching the edge of the circle

or

c^2 = a^2 + b^2 c^2 = 7^2 + 7^2 = 49 +49 c^2 = 98 c = sqrt 98 c = 9.8 cm c = diagonal of square (9.8 cm) and is less than the diameter of the circle (11 cm), so the square will fit inside the circle without touching the edge of the circle.

I hope this helps a little bit.

HELP! DUE TODAY!!
Find the perimeter of the composite shape shown below.
A.50m
B.30m
C.90m
B.42m

Answers

It is A C is to high and B and D are 2 low of answers.

Help this is the question pls help I need your help answer correctly
23 pts

Answers

Answer:

[tex]3/8* 16 \\3*2\\6[/tex]

Step-by-step explanation:

Thus the mileage of water for this vehicle is 6 miles per gallon.

Yo, brainliest for the correct answer

Answers

The answers are:
10) B
11) C

Pls help Brainelist if correct

The first triangle is dilated to form the second triangle. What is the scale factor? Please show your math work step by step.

Answers

Answer:

2.5 is the scale factor

Step-by-step explanation:

Skills needed: Identifying the Scale Factor, Division

1) First, we need to understand what the scale factor is.

A scale factor is the value being multiplied by one side of a figure to form another figure that is bigger or smaller. For example:

Let's say you are given a triangle with side lengths 3 cm, 4 cm, and 5 cm and you are supposed to find the side lengths of a new triangle when the scale factor being used is 2. Here, you would multiply all the sides by the value 2. So, the 3 sides are:

3 x 2, 4 x 2, and 5 x 2 ---> 6 cm, 8 cm, 10 cm.

2) So to find the scale factor in a problem, you would do the side of one triangle divided the corresponding side of the other triangle.

So to find the scale factor in the above problem (if we were only given side lengths 3 cm, 4 cm, and 5cm & also 6 cm, 8 cm, and 10 cm), you would do:

[tex]\frac{6}{3}[/tex] or [tex]\frac{8}{4}[/tex] or [tex]\frac{10}{5}[/tex], all of which equal 2.

3) So in this problem, you would simply do [tex]\frac{10}{4}[/tex], since 10 and 4 are corresponding sides of dilated triangles.  

This is [tex]\frac{5}{2}[/tex] when simplified, or 2.5 as a decimal, since scale factors are usually expressed as decimals.

Hope this helps and have a nice day!! :) :] :D

Please help, and I'll give brainliest! The following dot plot represents a random sample of elementary students and the number of children that live in their home.

Which of the following numbers is an outlier?
1
6
3
4
2

Answers

i have no idea what an outlier is maybe 1?

Answer:

2 is the outlier because if you look you cansee that 2 is the farthest away the other ones than the other ones!

Step-by-step explanation:

please help me!!!!!!​

Answers

Answer:

Option C

Step-by-step explanation:

Domain is the set of x-values of the function.

Similarly, Range of a function is defined by the set of y-values of the function.

For the given set of domain → {0, 3, 7}

Range of function → f(x) = 2ˣ + 4

x                0                    3                 7  

f(x)       2⁰+ 4 = 5       2³+ 4 = 12     2⁷ + 4 = 132

Therefore, range of the given function will be → {5, 12, 132}

Option C will be the answer.

Simplify and leave in radical form.

Answers

Answer:

Step-by-step explanation:

Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.

mark me as brill

A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year, the poster is worth $20.70. Which equation can be used to find the value, y, after x years? (Round money values to the nearest penny.) y = 18(1.15)x

Answers

Answer:

[tex]y = 18 * 1.15^x[/tex]

Step-by-step explanation:

Given

[tex]a = 18[/tex] --- initial

[tex]r =15\%[/tex] -- rate

Value after a year = $20.70

Required

Expression to calculate its value after y years

This is calculated using:

[tex]y = ab^x[/tex]

Where

[tex]b=1 +r[/tex]

Substitute [tex]r =15\%[/tex] in [tex]b=1 +r[/tex]

[tex]b = 1 + 15\%[/tex]

[tex]b = 1 + 0.15[/tex]

[tex]b = 1.15[/tex]

Substitute [tex]b = 1.15[/tex] and [tex]a = 18[/tex] in [tex]y = ab^x[/tex]

[tex]y = 18 * 1.15^x[/tex]

The original price of a chair is $545. A store discounted the price of this chair by 25%. What is the price of the chair, not including tax, with the discount applied?

Answers

Answer:

$408.75

Step-by-step explanation:

25%=0.25

545*0.25=136.25

$545-$136.25=$408.75

what ratio below is not equivalent to the ratio 10:35

Answers

Answer:

1/2

Step-by-step explanation:

In a ratio, two quantities are compared using division. It is used to indicate how big or small a quantity is when compared to another. Here among the given options only 2:7 is equivalent to 10:35. The correct options are A, B and C.

What is a ratio?

The ratio is defined as the comparison of two quantities of the same units. It indicates how much of the one quantity is present in the other quantity. The ratio are generally of two types, they are part to part ratio and part to whole ratio.

The part to part ratio denotes how distinct the entities or groups are related whereas the part to whole ratio denotes the relationship between a specific group to a whole. We use the ratio formula while comparing the relationship between two numbers or quantities.

Thus the correct option is A, B and C.

To know more about ratio, visit;

https://brainly.com/question/29192438

#SPJ3

Your question is incomplete most probably your full question was:

what ratio below is not equivalent to the ratio 10:35

A. 3:5

B. 2:4

C. 1:3

D. 2:7

hello are you there my i please have some help

Answers

Answer:

3^-5

Step-by-step explanation:

x^-3=1/x^3

this rule applies to all negative exponents lol

How would "the product of 2 and a number plus 13" be written an
algebraic expression? *

Answers

2x+13

X= a number

2(a number) + 13

Thank you!

Answer:

2x+13

Step-by-step explanation:

A random number will be x.

The product means multiple.

Hope this helps =]

The value of
(4-1)+a? --- 2 2(0,0)
when a = 2 and b= -1 is

Answers

Answer:

it's probably really hard to read and out of order but the answer is 1/3

one third

Write an equation of a parabola opens upwards and has vertex (7, - 6).


Any help?

Answers

Answer:

f(x) = x² - 14x + 43

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (7, - 6 ) , then

f(x) = a(x - 7)² - 6

Since the parabola opens upwards then a > 0

let a = 1

f(x) = (x - 7)² - 6 ←in vertex form

f(x) = x² - 14x + 49 - 6

f(x) = x² - 14x + 43 ← in standard form

A pilot spots the airport at an angle of depression of 16°. The plane is flying at an altitude of 9,000 ft. What is the ground distance (distance along the ground) from the plane to the airport to the nearest foot

Answers

Answer:

[tex]31,387\:\text{ft}[/tex]

Step-by-step explanation:

We can form a right triangle using the plane, the airport, and ground and use basic trig for a right triangle to solve this problem.

In a right triangle, [tex]\tan\theta=\frac{\text{opp}}{\text{adj}}[/tex]. Therefore, we have the following equation, where [tex]x[/tex] is ground distance between the plane and the airport:

[tex]\tan 16^{\circ}=\frac{9,000}{x},\\x=\frac{9,000}{\tan 16^{\circ}},\\x\approx \boxed{31,387\:\text{ft}}[/tex].

X/3=-3 can someone help me

Answers

Answer:

x = - 9

Step-by-step explanation:

Given

[tex]\frac{x}{3}[/tex] = - 3 ( multiply both sides by 3 to clear the fraction )

x = - 9

Use the figure and information below to find the length of each line segment
7th grade math please help me

Answers

Answer:

7. 6

8. 6

9. 12

10. 6

11. 12

12. 24

Step-by-step explanation:

The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24

What is the length?

It is the measure of distance between the two points is called a length.

D is the mid-point of CE. Then

CD = DE = 6

B is the mid-point of AC. Then

AB = BC

C is the mid-point of AE. Then

        AC = CE

AB + BC =  CD + DE

AB + AB = CD + CD

     2 AB = 2 CD

         AB = CD

         AB = 6

Then

AB = 6

BC = AB = 6

AC = AB + BC = 6 + 6 = 12

CD = DE = 6

CE = CD + DE = 6 + 6 = 12

AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24

More about the distance link is given below.

https://brainly.com/question/989117

Evaluate 3x2 + 4y when x=5 and y= 6

Answers

Answer:

54

Step-by-step explanation:

put 5 in for x and 6 in for y

Answer:99

Step-by-step explanation:

Pls I need help ASAP

What is 2.5 - 1.4

Answers

Answer:

1.1

Step-by-step explanation:

What's 0.016 as a fraction

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2/125

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

16/1,000

Understanding place values:

The first 0 before the decimal point in 0.016 represents ones, the 0 after the decimal point represents tenths, the 1 represents hundredths and the 6 represents thousandths. We use 1,000 in our fraction because of the place value.

Step-by-step explanation:

1. Convert 0.016 into a fraction:

   0.016 = 16/1,000

2. Simpilfy the fraction 16/1,000:

   16/1,000 ÷ 8 = 2/125

2/125 is equivalent to 0.016

Side Note: Step 2. is only for people looking for the simplified answer!

            ~Hope this helps!

           ~Hocus Pocus

A parade traveled 12 miles in 3 hours. How far did the parade travel per minute?

Answers

Answer:

176 feet per minute

Step-by-step explanation:

- You invest $80 into a simple interest savings account that earns 5% annually.
After how many years will the account have a total of 200$ in it?

Answers

Answer:

30 years.

Step-by-step explanation:

The equation for simple interest is I = PRT, where I = interest earned, P = principal/amount invested, R = rate as a decimal, and T = time in years.

Our unknown for this example is T, but first we have to see how much interest is earned.

200 - 80 = 120 in interest (starting with $80, ending with $200)

120 = (80)(0.05)(T)

120 = 4T

30 = T

Please lmk if you have questions.

Create an equation to solve for x using the trapezoid midsegment formula:

Answers

Answer:

Equation for x:    3x - 6 = [tex]\frac{2x - 1 + 25}{2}[/tex]

x = 9

CD = 17

GH = 21

Step-by-step explanation:

The midsegment formula for a trapezoid is

GH = [tex]\frac{CD + FE}{2}[/tex]

3x - 6 = [tex]\frac{2x - 1 + 25}{2}[/tex]

6x - 12 = 2x + 24

4x = 36

x = 9

CD = 2x - 1 = 2(9) - 1 = 18 - 1 = 17

GH = 3x - 6 = 3(9) - 6 = 3 = 27 - 6 = 21

What is the area of this figure? ​

Answers

14x23 = 322
16 x 24 = 384
Add them together:
706 sq. m

Answer:

area = 706 m²

Step-by-step explanation:

area = (16 x 38) + (7 x 14) = 706 m²

katrina stills need to chop? cups of onions

Answers

Answer:

I HATE ONIONS

Step-by-step explanation:

Answer:

yea

Step-by-step explanation:

because the onions are still in cups btw I dont think is a question

Which function is best represented by this graph?

Answers

Answer:

by which graph? i don't understand you

there’s no graph to go by

It’s a word search

I’ll appreciate it even if you find one

—-Don’t put random stuff just to get points it’s rude——-

I’ll give brainliest if you can find the most

Words can be vertical, horizontal, diagonal, and backwards

Answers

Step-by-step explanation:

rational. meter. greek

I'll try to find.

What would be the angle for M

Answers

Answer:

180-124-33=23

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