4. The area of a rectangle is (x2+8x + 12) cm. If the
length of the rectangle is (x + 6) cm, show that is
breadth is (x + 2) cm.
Answers
Answer:
★ Given :
Area of triangle = x² + 8x + 12 cm²
length = (x+6)cm
★ To show :
breadth = (x+2) cm
★ Solution :
We know that,
Area of a rectangle = length × breadth
by putting values
(x² + 8x + 12) = (x+6) × breadth
by diving (x² + 8x + 12) into factors
using middle term splitting
x² + 6x + 2x + 12
x(x+6) + 2(x+6)
= (x+2)(x+6)
(x+2)(x+6) = (x+6) × breadth
Hence, verified..
Answer:
hope it helped have a good day mate
Related Questions
What is the least common denominator of the rational expressions below?
1/x^2 - 4/3x^2+15x
Answers
Answer:
The LCD is 3x²
The other two denominators can be factors of 3x²
Step-by-step explanation:
To get the equivalent fractions, divide the original denominator into the LCD, then multiply the original numerator by the quotient.
For the first term: 1/x²
3x² ÷ x² = 3 3×1=3 The equivalent is 3/3x²
Second term: Leave it as it is.
For the third term: 15x
The implied denominator is 1
3x² ÷ 1 = 3x² 3x² × 15 = 135x²
The equivalent is 135x²/3x²
To check the validity, substitute a value for x and calculate the numbers.
For example let x = 3
The original expression becomes
1/3² + 4/3(3²) - 15(3)
1/9 + 4/27 - 45
With the LCD it is
3/27 + 4/27 - 1215/27
Answer:
3x^2(x+5)
Step-by-step explanation:
hope this helps
Which number is irrational?
O A 3
17
O B. 25
O C. 0.5
O D. 33
Answers
Step-by-step explanation:
that square of 2 irtional
:))))))))))
Find the slop of the line given y - 1 = -5(x + 19)
Answers
Answer:
m = − 5 is slope
Step-by-step explanation:
Select the correct answer.
Which function represents a function with zeros at -3,-1, 0, and 6?
A. y= (x-6)(x + 1)(x + 3)
B.y= x(x-3)(x - 1)(x + 6)
C. y= x(x-6)(x + 1)(x + 3)
D. y=(x-3)(x - 1)(x + 6)
Answers
Answer:
C
Step-by-step explanation:
The function is y=x(x-6)(x+3)(x+1). Therefore, option C is the correct answer.
Given that, a function with zeros at -3,-1, 0, and 6.
What are zeros of a function?The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.
Now, x=-3⇒x+3, x=-1⇒x+1, x=0 and x=6⇒x-6.
The function is y=x(x-6)(x+3)(x+1).
The function is y=x(x-6)(x+3)(x+1). Therefore, option C is the correct answer.
To learn more about the functions visit:
https://brainly.com/question/12431044.
#SPJ2
Hurry I need it done quickly and correctly don't comment if you don't know it
1. Consider two forests that are proportional with respect to the number of trees per square mile. If one forest has 1,446 trees per 0.7 square miles, how many trees should we expect in a forest that is 4 square miles? Round to a whole number, if needed.
2.Washington State University graduated a total of 16,856 students. Of all the students, only 7.0% were majors in chemistry. How many students majored in chemistry? Round to a whole number, if needed.
3.The number of early voters for the 2020 election was 132.5% of what it was in 2016. How many early voters were there in 2020 if there were 58,300,000 early voters in 2016? Round to a whole number of voters.
4.At a conference, there is a food table setup with 459 sandwiches. Of all the sandwiches, only 76 are turkey. What percent of sandwiches are turkey? Round to a tenth of a percent.
5. Which of the following is equivalent to the ratio 5?
0.2
5 to 1
1:5
1/5
Answers
Answer:
1. 1,446 trees 16,856 square miles
2. 99.99% 16,856 students were passed
3. 58,300,000 early voters in 2016 202.5% to 2020
4. 459 sandwiches swith to 500 sandwishes 76 turkeys to 80 turkeys is 580.80% turkeys
5. 1/5 to 5 to 1 to 1:5 right? please dont report me
Can somebody please help me and how do you do this step by step and I need the formula for this please.
Answers
radius of ½ circle = d : 2
= 6in : 2 = 3in
Total area = Rectangle area + ½Circle area + Triangle area
= (l×w) + ½(π×r²) + (½×b×h)
= (10×6) + ½(π×3²) + (½ × (14-10) × 6)
= 60 + 14.14 + 12 = 86.14in
Answer : 86.14inSee the bold one in line 2 of total area, thats the formula of all shape.
Cindy works 4c hours each day from Monday to Friday. She works 7c on Saturday. Cindy does not work on Sunday. Find the number of hours Cindy works in one week in terms of c
Answers
Tanner had $42.80 and spent 20% of his money on a book including tax. If he paid with a $10 bill, how much change did Tanner get back?
A. $7.28
B. $6.24
C. $1.44
D. $17.54
Answers
42.8 x 0.2 = 8.56
10 - 8.56 = 1.44
What fractions are the same
Answers
Ohhhhhh I get it I thought something else
Answer:
equivalent fractions
Step-by-step explanation:
When fractions have different numbers in them, but have the same value, they are called equivalent fractions. Let's take a look at a simple example of equivalent fractions: the fractions ½ and 2/4. These fractions have the same value, but use different numbers.
find the product 27x3
Answers
Answer:
81
Step-by-step explanation:
2
27
x 3
------
8 1
Answer:
81
Step-by-step explanation:
27 × 3
81
What is -8x-9-5+9 plz help
Answers
Answer:
-8x - 5
Step-by-step explanation:
-8x - 9 - 5 + 9 = -8x - 5
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
2(-4y-7)+3=11 solve for y
Answers
Answer:
y = -11/4
Step-by-step explanation:
2 ( -4y - 7) + 3 = 11
-8y - 14 + 3 = 11
-8y - 11 = 11
-8y = 22
y = -11/4
Answer:
12
Step-by-step explanation:
-4 + 12 =7
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply.
7 x + 4 and 3 x + 5 + 4 x minus 1
-When x = 2, both expressions have a value of 18.
-The expressions are only equivalent for x = 4 and x = 6.
-The expressions are only equivalent when evaluated with even values.
-The expressions have equivalent values for any value of x.
-The expressions should have been evaluated with one odd value and one even value.
-When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
-The expressions have equivalent values if x = 8.
Answers
Answer:
When x=2, both expressions have a value of 18.
The expressions have equivalent values for any value of x.
The expressions have equivalent values if x=8
Step-by-step explanation:
Question 3
1 pts
• A solar panel absorbs 6,771 J of radiant energy, and produces 3,291 ) of
electrical energy. What is it's percent efficiency?
(make sure you multiply x100 to get a % between 0 and 100)
Answers
9514 1404 393
Answer:
48.6%
Step-by-step explanation:
Efficiency of energy conversion is the quotient of output energy and input energy.
(3291 J)/(6771 J) × 100% ≈ 48.6%
The solar panel's conversion efficiency is about 48.6%.
_____
Additional comment
With current (2021) technology, the best efficiency one can expect from a solar panel is in the neighborhood of 23%.
Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each, she had 28 apples left.
Write an equation that represents the story.
Answers
Answer:
Step-by-step explanation:
4(a-1) = 28
a = 8 apples per bag
simplify the expression 4x+2-1/2x
Answers
answer 41x
Step-by-step
Which of the following conditions create a triangle?
Angles: 45°, 45°, 90°
Angles: 120°, 40°, 30°
Angles: 18°, 84, 98°
Angles: 170°, 2°, 8
Answers
Answer:
45°, 45°, 90°
Step-by-step explanation:
the interior angles in a triangle must be 180° and two of the angles must be greater than our equal to the third
whats the answer (4.5 × 10^4) ÷ (300) =
1.) 1500
2.) 1.5 × 10-2
3.) 150
4.) 1.5 × 10^6
Answers
Answer:
the answer is 150
.....
Answer:
150
Step-by-step explanation:
(4.5 x 10^4)/300=(4.5 x 10,000)/300=45,000/300=150
Solve 81^x= 27^x + 2
Answers
Answer:
x=6
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases then solve for X.
Hope this helped have a good one.
It will take 48 hours of work to complete the garden.
The garden must be finished in 3 days.
Each gardener works for 8 hours per day.
How many gardeners are needed?
Answers
James had 42 dollars. He bought his sister a gift that cost x dollars. Write an expression representing how much money James has now.
Answers
Answer:
42 dollars -x......................
Solve the answer for n
4/5 = n/3
Answers
Answer:
2.4
Step-by-step explanation:
4/5 = n/3
Cross multiple
4*3 = n *5
12= 5n
12/5 = 5n/5
n= 2.4
a
Solve. Add, subtract, multiply or divide.
Anosh collects feathers. His father started his collection by giving him 7
feathers. Since then he has collected 28 more feathers. How many feathers does
Anosh have?
Answers
Answer:
Anosh has 35 feathers.
Step-by-step explanation:
Initially, he had 0 feathers.
His father started his collection by giving him 7 feathers.
After his father gave him, he has 7 feathers.
Since then he has collected 28 more feathers. How many feathers does Anosh have?
So now, he has 7 + 28 = 35 feathers.
Anosh has 35 feathers.
Find the slope of the line passing through the points (-2,3) a
and
(-9,6).
Answers
===================================================
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (6-3)/(-9-(-2))
m = (6-3)/(-9+2)
m = 3/(-7)
m = -3/7
This means each time you go down 3 units, you go to the right 7 units.
Slope = rise/run = -3/7
rise = -3 and run = 7
The points (-16, 12) and (-29, 10) form a line segment.
Write down the midpoint of the line segment.
Answers
Midpoint Definition: The point where a line is perfectly split in half
Coordinates exist in the form of ( x, y )
Generally, you find the midpoint by adding up the two numbers and dividing the sum by 2.
In other words,
Midpoint = ( [tex]\frac{x1+x2}{2} , \frac{y1+y2}{2}[/tex] )
You should get ( -22.5, 11 ) as your answer.
[tex] \frac{ \sqrt{40} }{ \sqrt{3} } [/tex]
Answers
Answer:
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }[/tex]
Step-by-step explanation:
Given
[tex]\frac{ \sqrt{40} }{ \sqrt{3} }[/tex]
Required
Simplify
[tex]\frac{ \sqrt{40} }{ \sqrt{3} }[/tex]
Rationalize:
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40} }{ \sqrt{3} }*\frac{ \sqrt{3} }{ \sqrt{3} }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40*3} }{ \sqrt{3*3} }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ \sqrt{9} }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ 3 }[/tex]
Expand the numerator
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4*30} }{ 3 }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4}*\sqrt{30} }{ 3 }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ 2*\sqrt{30} }{ 3 }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }[/tex]
The measure of the missing angle is
degrees.
Answers
Step-by-step explanation:
The exterior angles of a triangle is equal to the sum of two non - adjacent interior angles. Now , Set up an equation and solve for x.
[tex] \large{ \tt{x \degree = 63 \degree + 86 \degree}}[/tex]
[tex] \large{ \tt{x \degree = \boxed{ \tt{149 \degree}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
# [tex] \underbrace{ \text{Carry \: On \: Learning}}[/tex] !! ✎
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THIS IS IREADY PLEASE HELP RIGHT ANSWER (Only)
1. What section of park is located at 7,0? A. Duck pound B. Gardens C. Bike trail D. parking lot.
Answers
Answer Bike trail
Step-by-step explanation:
Answer:
Bike trail
Step-by-step explanation:
*PLEASE FIND THE ANSWER QUICK!!!!!* Find the SA of this solid. please show the unit measure in your answer
Answers
Answer:
The SA of the rectangle is 270. The SA of both the triangles is 24
An album sells for $16.00 through an online music service. If the album is 20% off, and sales tax is 8%, what is the total price of the album including tax?
A: $13.95
B: $13.82
C:$12.96
D:$14.69
Answers
Answer:
rupees 14.69
Step-by-step explanation:
rupees 14.69
I hope this answer correct