1. Explain why it makes sense to call the following expression a “perfect
square." *
x2 + 20x + 100

Answers

Answer 1

Answer:

because all sides are equal

Answer 2

The expression is a perfect square of (x+10)².

What is perfect square?

A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.

For example, 25 is a perfect square because it is the product of integer 5 by itself, 5 × 5 = 25.

Given that the expression, x² + 20x + 100,

So, writing the expression as expanded form,

x·x + 2·10·x + 10·10

x² + 2·10·x + 10²

We see it is in the form of a² + 2ab + b²,

We know that, a² + 2ab + b² = (a+b)²

So,

x² + 2·10·x + 10² = (x+10)²

Hence the expression is a perfect square of (x+10)².

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Related Questions

Help please I’ll mark brainliest

Answers

Answer:

y=7x

Step-by-step explanation:

Will paid $2.73 for 3.5 pounds of bananas. What was the cost per pound of the bananas?
stuck on this one.

Answers

Answer:

0.78¢

Step-by-step explanation:

if 3.5 lbs of bananas is $2.73, then we need to divide each side by 3.5 to get 1 lb of bananas

1 lb = 0.78¢

To check our work, we can do 0.78x3.5 = 2.73

Hope this helps! Please mark Brainliest if this helped :)

A) 45
B) 120
C)120
D) 60

Answers

Answer is B 50
Opposite sides are same

find the derivative of 1/x^4/3

Answers

Answer:

[tex]\displaystyle \frac{dy}{dx} = \frac{-4}{3x^5}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \frac{\frac{1}{x^4}}{3}[/tex]

Step 2: Differentiate

Derivative Property [Addition/Subtraction]:                                                 [tex]\displaystyle y' = \frac{1}{3} \frac{d}{dx} \bigg[ \frac{1}{x^4} \bigg][/tex]Rewrite:                                                                                                         [tex]\displaystyle y' = \frac{1}{3} \frac{d}{dx}[x^{-4}][/tex]Basic Power Rule:                                                                                         [tex]\displaystyle y' = \frac{1}{3}(-4x^{-5})[/tex]Simplify:                                                                                                         [tex]\displaystyle y' = \frac{-4}{3x^5}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

EVERYONE HELP SOS SOS I NEED YOUR HELP THIS IS AN EMERGENCY SOS
SOS
SOS

How is X - 5 mathematically different from x > 5?

INCLUDE A REAL LIFE EXAMPLE IN YOUR RESPONSE AND YOU WILL RECEIVE A BONUS POINT AND MARKED BRAINLYEST ​​

Answers

Answer:

The result is different

Step-by-step explanation:

Hope this helps

X equals 5 in the first and x is greater than 5 in the second. This can translate to life by saying you need 5 points to get an 100 or u need to get more than 5 goals to win the game

Find the Area of the figure below, composed of a rectangle with a semicircle removed
from it. Round to the nearest tenths place.

Answers

Answer:

69.9 sq units

Step-by-step explanation:

find area of entire rectangle then subtract out area of semi-circle

(14 x 6) - (3²π ÷ 2)

84 - 14.1 = 69.9

69.9

Step-by-step explanation:

The vertices of the triangle shown are (-2, 2), (4, -1), and (-2, -3).
y
What is the area of the triangle?
O A 11 square units
OB 15 square units
o C.13 square units
O D. 17 square units

Answers

Answer: 15

Step-by-step explanation:

One apple costs .55 at the grocery store. Customers recieve one free apple for every 8 apples they buy

Answers

Answer:

Need more info

Step-by-step explanation:

What are we trying to figure out here?

P.S. I am not collecting the Brainly points, I will fix my answer once you fix the question! Thanks!

The diameter of a pizza is 45 inches. What is the area of where we would be able to put all ingredients
on top of the pizza?

Answers

Answer:

the area of the pizza is 1590.43 in. :)

Step-by-step explanation:

8. An isosceles triangle includes two 56' angles. Which equation could be
used to find the measure of the third angle?

Answers

Answer:

B. x=180-2(56)

Step-by-step explanation:

Isosceles triangles have 2 angles of equal measure and 1 different measure. we add both measures or multiply them by 2 and then subtract them from 180 (sum of all angle measurements in a triangle) to find the missing measure

please help me.. I don't understand what it is..

Answers

9514 1404 393

Answer:

  22.6

Step-by-step explanation:

The diagonal of the square is they hypotenuse of an isosceles right triangle with sides of 16 inches. The Pythagorean theorem tells you its length (d) is ...

  d^2 = 16^2 +16^2 = (16^2)(2)

Taking the square root, we have ...

  d = 16√2 ≈ 22.6 . . . . inches

Asap
It is for past paper that is due in tomorrow 29th

Answers

Answer:

(i) 22.5

(ii) 7.2

Step-by-step explanation:

(i)

AB:PQ = 2:5 = 1:2.5

So PQ is 2.5 times longer than AB.

PQ=2.5AB=(2.5)9=22.5

(ii):

Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:

QR=2.5BC

BC=QR/2.5=18/2.5=7.2

Find the value of x in the triangle shown below x 42 106

Answers

Answer:

Step-by-step explanation:

where is the picture?

Answer:

you need a picture lol

Step-by-step explanation:

Please help very urgent

Answers

Answer:

Amplitude = 5.5 units

Domain = All Real Numbers

Range = [-11,11]; {y | -11 ≤ y ≤ 11}; greater than or equal to -11 and less than or equal to 11.

Find the measure of 46.
46 = [?]
24°
46

Answers

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

Hey answer equation please thanks

Answers

Answer:

30 y

Step-by-step explanation:

We need to multiply 5 by 4y and 5 by 2 y

20y + 10y = 30y

Answer:

30 y

Step-by-step explanation:

You are supposed to distribute(multiply) the 5 with 4y+2y inside the parentheses. Just multiply the 4y by 5 to get 20y and then 2 y with 5 to get 10 y. Your answer should be come out to be 20y + 10y. Since they both use the same variable (y), add them together to get 30y

omg help plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

the image isn't clear

can you type the numbers???

Step-by-step explanation:

Leo has two choices of cake and he needs one that will feed the most people. One of them has the height of 5 inches and a diameter of 12 inches and the other one is 6 inches tall and 10 inches across. Which cake has a bigger volume and will feed more people?

WILL MARK BRAINLEST!!!

Answers

The correct answer is 5 inces and a diameter of 12. Because the volume is 565 and for the other it’s 471.

Find the volume of the composite solid. Round your answer to the nearest tenth.

Answers

Answer:

Volume = 646.0 cm³

Step-by-step explanation:

The solid is made up of a hemisphere and a cube

Therefore,

Volume of the composite solid = ⅔πr³ + a³

Where,

r = ½(8) = 4 cm

a = 8 cm

Plug in the values

Volume of the composite solid = ⅔*π*4³ + 8³

= 134.04 + 512

= 646.0 cm³ (nearest tenth)

The area of a SQUARE is 22 ft2. Which of the following is the closest to
the length of each SIDE of the square?

Answers

Answer:

4.7ft

Step-by-step explanation:

Hello, the answer would be 4.7ft because 4.7^2 is closest to 22ft^2 with it being 22.09ft^2.

Drag the expressions into the order in which the expressions are listed from greatest value to least value. Place the expression with the greatest value at the top and the one with the least value at the bottom.
(5280×10)−(314×10)

5280−314

10.6× (5280 −314)

(5280−314)÷111

Answers

Answer:  1.  (5280 - 314) ÷ 1/11  2.  10.6 x (5280 - 314)  3.   (5280 x 10) - (314 x 10)  4.   5280 - 314

Step-by-step explanation:

I did the test!
Answer:

Greatest expression=10.6× (5280 −314)

Least expression= (5280−314)÷111

Step-by-step explanation:Definition of greatest value and least value

The greatest value is the maximum value in given observation and least value is the minimum value in the given observation.

Solution of first expression

[tex](5280*10)-(314*10)= 52800-3140\\=49660[/tex]

Solution of second expression

[tex]5280-314= 4966[/tex]

Solution of third expression

[tex]10.6*(5280-314)=53632.8[/tex]

Solution of fourth expression

[tex](5280-314)/111=44.74[/tex]

From the above observation we can observe that greatest and least value are 53632.8 (which is third expression ) and least value 44.74(which is fourth expression)

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Will give brainliest!!

Two lines, A and B, are represented by the following equations:

Line A: 4x + 4y = 16
Line B: x + y = 4

Which statement is true about the solution to the set of equations? (4 points)

Group of answer choices

A) It is (1, 2).

B) It is (1, 5).

C) There are infinitely many solutions.

D) There is no solution.

Answers

Answer:

Infitite solutions (C)

Step-by-step explanation:

They are the same line.

is 2 a solution to 2x+3<2 ?

Answers

Answer:

no

Step-by-step explanation:

2(2) + 3 < 2  is a False statement; therefore, 2 is not a solution

In how many ways can 21 be expressed as the sum of 3 prime numbers?

Answers

Answer:

I think by using a prime factor tree

1.11. There are 37 girls and 39 boys going on a field trip with the drama club. At least 1 adult for
every 6 students will also go on the trip. Which correctly explains how to find the number of
adults needed for the trip?
(

Answers

Answer:

C

I have done the math on a calculator. :p

Answer:

C

Step-by-step explanation:

First you Just Divide

and the remainder

will be R4 and it's 76÷6

a)How many vertices does it have?
(b) How many edges (lateral edges plus base edges) does it have?
(c)How many faces (lateral faces plus bases) does it have?

Answers

5 vertices

7 edges

5 faces

GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)

Answers

Answer:

A, 32 degrees, hope this helps !! :D

Step-by-step explanation:

7. Newton buys a board game for $9.99
and a pack of trading cards for $2.99.
He gives the cashier a $20 bill. How
much change does he receive?
AWNSER ASAPP

Answers

Answer: Hello, there!  Your Answer is Below^^

7.O2 Would be The Correct Answer.

Step-by-step explanation:

So I Subtracted 20 - 12.98 And Got the Answer $ 7.02

To Add Or subtract Decimals Here's what you can do to find your Answer

Line up the numbers vertically so that the decimal points all lie on a vertical line.  

Add extra zeros to the right of the number so that each number has the same number of digits to the right of the decimal place. Step 3: Subtract the numbers as you would whole numbers.

Hope this Helps!!

Have a great day!!!

ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST

Answers

Answer:

-3/2

Step-by-step explanation:

the constant of variation is commonly known as k .

y/x= k

so -3/2 is your answer

Answer:

it is a

Step-by-step explanation:

Line t is tangent to the circle . Find AB (click photo)

Answers

Answer:

mAB=130°

Step-by-step explanation:

The tangent-chord theorem tells us that the angle the tangent makes with the curve (65°) is half the measure of the arc (mAB):

mAB=2(65)=130°

The value of measure of arc AB is,

⇒ m AB = 130°

           

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Line t is tangent to the circle.

Now, We know that;

The tangent-chord theorem tells us that the angle the tangent makes with the curve is half the measure of the arc.

Hence, We can formulate;

⇒ m AB = 2 × 65°

              = 130°

Thus, The value of measure of arc AB is,

⇒ m AB = 130°

           

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