Answer:
The area of the photograph is: [tex]A=x^2-4[/tex]
Step-by-step explanation:
Given
The length of rectangular photograph = [tex]l[/tex] = (x + 2) inches
The width of rectangular photograph = [tex]w[/tex] = (x - 2) inches
To determine
The area of the photograph
Important Tip:
Given that the photograph is in the shape of a rectangle. Thus, we can use the formula involving the area of a rectangle to determine the area of a photograph.
The Area of the photograph can be determined using the formula
[tex]A = wl[/tex]
where
[tex]A[/tex] is the area[tex]l[/tex] is the length[tex]w[/tex] is the widthnow substituting [tex]l = (x + 2)[/tex] and [tex]w = (x-2)[/tex] in the formula
[tex]A = wl[/tex]
[tex]A = (x-2) (x+2)[/tex]
Apply Difference of Two Squares Formula: [tex]\left(a-b\right)\left(a+b\right)=a^2-b^2[/tex]
[tex]A=x^2-2^2[/tex] ∵ [tex]a=x,\:b=2[/tex]
[tex]A=x^2-4[/tex] ∵ [tex]2^2=4[/tex]
Therefore, the area of the photograph is: [tex]A=x^2-4[/tex]
Draw a picture using the rectangular fraction model and write the answer. When possible, write your answer as a mixed number. 3/4 + 2/3 =
Answer:
yesss sirrrrrrrr
Step-by-step explanation:
l am out eyyyyyy
4 friends share 3 pounds of grapes equally.how much pounds of grapes does each friend get?
Answer:
0.75 lb
Step-by-step explanation:
3 divided by 4 is 0.75
A floor shaped like a square has a perimeter of 100 feet.what is the area of the floor in square feet?
Answer:
625
Step-by-step explanation:
Square has four sides. 100/4=25
Area=L×W
25×25=625 square feet
t/3 > Solve > 15. Graph the solution 3 The solution is
Answer:
[tex]T > 45[/tex]
Step-by-step explanation:
Given
[tex]\frac{T}{3} > 15[/tex]
Required
Graph the solution
[tex]\frac{T}{3} > 15[/tex]
Multiply both sides by 3
[tex]3 * \frac{T}{3} > 15*3[/tex]
[tex]T > 15*3[/tex]
[tex]T > 45[/tex]
See attachment for graph (Assume T is on the x-axis)
A pair of shoes were originally priced at $125. They are now being sold with a 20% discount. What is it's new price?
* ill give brainliest
Answer:
100
Step-by-step explanation:
Forumla is
Original price X rate of discount = discount
The original price is $125, the rate of discount is 20%
So in math form, this is 125 x .20
which equals 25.
Lastly, just subtract that from the original price. 125 - 25 = 100.
The answer ASAP plz I need help
Answer:
C
Step-by-step explanation:
i might be wrong -
Answer:
i think its b not too sure tho
Step-by-step explanation:
The midpoint of AB is M(-2,1). If the coordinates of A are
(1, -2), what are the coordinates of B?
Answer:
(-1, 2)
Step-by-step explanation:
A light bulb consumes 3600 watt-hours per day. How many watt-hours does it consume in 4 days and 12 hours?
watt-hours
$
Answer/Step-by-step explanation:
18 hours = 18/24 reduces to 3/4 of a day
3/4 = 0.75
so,........ 3600/3.75 = 960 watts per day
Factor the expression d2-8d +16
(6a + 5b + 4c) + (–6c + 15b) + (–8a)
Answer:
-2a + 20b - 2c
Step-by-step explanation:
(6a + 5b + 4c) + (–6c + 15b) + (–8a) = 6a + 5b + 4c - 6c + 15b - 8a
= 6a - 8a + 5b + 15b + 4c - 6c
= -2a + 20b - 2c
A circle has a radius of 18.2 cm. Find the
length of the arc intercepted by a central
angle having the measure 3 radians.
Answer:
54.6cm
Step-by-step explanation:
Arc length = radius * central angle
= 18.2*3
=54.6
how do you express 90 inches in yards and inches.
Answer:
90 inch=2.5 yard
Step-by-step explanation:
divide the length value by 36
happy to help ya :)
Find the roots of the equation below.
x2 - 6x + 12 = 0
-3 ± √3
3 ± √3
-3 ± i√3
3 ± i√3
Answer:
[tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FactoringStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]Algebra II
Imaginary Numbers: √-1 = iStep-by-step explanation:
Step 1: Define
x² - 6x + 12 = 0
Step 2: Identify Variables
Compare the quadratic to standard form.
x² - 6x + 12 = 0 ↔ ax² + bx + c = 0
a = 1, b = -6, c = 12
Step 3: Find Roots
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-(-6)\pm\sqrt{(-6)^2-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] Simplify: [tex]\displaystyle x=\frac{6\pm\sqrt{(-6)^2-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] [√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{6\pm\sqrt{36-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] [√Radical] Multiply: [tex]\displaystyle x=\frac{6\pm\sqrt{36-48}}{2(1)}[/tex][Quadratic Formula] [√Radical] Subtract: [tex]\displaystyle x=\frac{6\pm\sqrt{-12}}{2(1)}[/tex][Quadratic Formula] [√Radical] Factor: [tex]\displaystyle x=\frac{6\pm \sqrt{-1} \cdot \sqrt{12}}{2(1)}[/tex][Quadratic Formula] [√Radicals] Simplify: [tex]\displaystyle x=\frac{6 \pm 2i\sqrt{3}}{2(1)}[/tex][Quadratic Formula] [Fraction - Denominator] Multiply: [tex]\displaystyle x=\frac{6 \pm 2i\sqrt{3}}{2}[/tex][Quadratic Formula] [Fraction - Numerator] Factor: [tex]\displaystyle x=\frac{2(3 \pm i\sqrt{3})}{2}[/tex][Quadratic Formula] [Fraction] Divide: [tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]The amount of money that Mary earns varies directly with the number of hours worked. If Mary earns $320 for working 40 hours,
determine the constant of variation
A)
6
B)
7
C)
8
D
9
Answer:
(c) 8
Step-by-step explanation:
Which of the following represents a valid function
Answer:
Step-by-step explanation:
The first and third are valid functions. The second is not a function as there are two different y values for the same x value. It fails what is called the ‘vertical line test’.
hitunglah luas permukaan balok dengan ukuran sebagai berikut
a. 8 cm × 4 cm × 2cm
B. 8 cm × 3 cm × 4 cm
jawaban
a. = 112 cm²b. = 136 cm²penjelasan langkah demi langkah( step by step explanation )
Total Luas Permukaan = 2 (Panjang x Lebar + Lebar x Tinggi + Panjang x Tinggi)
a.Luas Permukaan = 2( 8×4 + 4×2 + 2×8 )
= 2 ( 32 + 8 + 16 )
= 2 × 56
= 112 cm²b.Luas Permukaan = 2( 8×3 + 3×4 + 4×8 )
= 2 ( 24 + 12 + 32 )
= 2 × 68
= 136 cm²
PLEASE HELP! GIVING POINTS :)!
Answer:
8 23/40
Step-by-step explanation:
8 and 5 have 40 in common. To get from 8 to 40 you need to multiply by 5. You have to do the same to the top and bottom numbers in the fraction. 3/8 turns into 15/40. To get from 5 to 40, you need to multiply by 8. Again, u have to do the same for the top and bottom. 1/5 turns into 8/40. 15/40 + 8/40 = 23/40. Add the whole numbers, 6 and 2, to get 8. So the answer in 8 23/40. Hope this helps!
Answer:
8 23/40
Step-by-step explanation:
It costs $125.00 to rent the swimming pool, plus $4.50 per person. What would be the total cost to rent the swimming pool for 30 people?
Answer: Hi, I think your answer is gonna be 260 dollars! Have a good day!
Step-by-step explanation:
SOMEONE PLS HELP WITH THIS! Picture is provided
Step-by-step explanation:
to simplify this try making table and substitute the value of X and get y
2h + 2h and 4h
plsssss help
Answer:
8h
Step-by-step explanation:
basically your supposed to combine all of the H's. The numbers are how many there are. Just add the numbers with the same letters, and then stick the letter next to it.
2+2+4= 8
h+h+h= h
8h
Have a good day!! Be tiger fierce!!
What is this image - +
Answer:
there is no image
Step-by-step explanation:
What is the measure of angle A?
Answer:
64 degrees
Step-by-step explanation:
A triangles angles always add up to 180. So add 58 + 58 to get 116. Now subtract 180 - 116 to find the measure of angle A. You get 64.
Hope it helps!
Step-by-step explanation:
58 +58 = 116
180-116 = 64
So angle 4 = 64
Someone help me out please.
Answer:
The answer should be 64.21 or 64
Step-by-step explanation:
Help this Helped
Identify the values of a,b, and c that could be used with the quadratic formula to solve the equation. Enter a as a positive integer value.
x^(2)=6(x-8)
A=
B=
C=
THANK YOU SO MUCH
Answer:
a=1
b= -6
c=48
Step-by-step explanation:
x^2=6(x-8)
x^2=6x-48
x^2-6x+48
a,b are the coefficients of x^2 and x
c is the constant value present
Therefore it is basically written as ax^2+bx+c
and comparing with the answer x^2-6x+48,
a=1, b= -6, c=48
(-x2 -8y) + (-2xy - 2y2 + x2) + (-x2 + 4xy)
Answer:
-x² - 2y² + 2xy - 8y
Step-by-step explanation:
answer hurry please
Answer:
-3
Step-by-step explanation:
wathway lol look it up gives u all the answers.
If desserts are randomly made where each option is equally likely in each category, what is the probability you would get a dessert with a cone?
A) .4
B) .5
C) .6
D) .7
Answer:
B) .5
Step-by-step explanation:
two items, divide 1 by 2, get 1/2 becomes 0.5
Answer:
so 4546b can get brainliest. Also on the other on I answered too.
Step-by-step explanation:
in a pack of 24 balloons, 3/4 are blue or green, how many of the balloons are blue or green?
Answer:
3 my answer
Step-by-step explanation:
24 divide 8-3
Question 1 of 5
Which three side lengths best describe the triangle in the diagram?
O INCHES
1
2
3
4
5
OM 1
2
3
4
5
6
7
8
9
10 11 12 13
O INCHES
5
9 10 11 12 13
w
8
4
7
A
6
5
3
4
3
.
-N
2
O
0 i 2
1
O INCHES
w
The three side lengths best describe the triangle in the diagram are A. 5 cm, 12 cm, and 13 cm
What is a triangle?A polygon with three sides and angles is called a triangle.
Given is a figure, with the rulers attached to each side, we need to see what are the measurements of the sides of the triangle,
The first side is showing a measure of 13
The second side is showing a measure of 12
And, the third one is showing a measure of 5
This is a right triangle because the measurements are Pythagorean triplets.
Hence, the three side lengths best describe the triangle in the diagram are A. 5 cm, 12 cm, and 13 cm
Learn more about triangles, click;
https://brainly.com/question/2773823
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A deck crane is used to lift very heavy objects
and can rotate 360°. Its working radius is 28
meters. What is its working diameter?
Answer:
56 meters
Step-by-step explanation:
diameter = 2(radius)
2 x 28 = 56