Answers
Answer:
[tex] \frac{6}{(x + 2)} [/tex]
Step-by-step explanation:
[tex] \frac{2x + 2}{x + 2} \div \frac{4 {x}^{2} +8 x + 4}{12x + 12} \\ \\ = \frac{2(x + 1)}{x + 2} \div \frac{4( {x}^{2} + 2x + 1) }{12(x + 1)} \\ \\ = \frac{2(x + 1)}{x + 2} \div \frac{( x + 1)^{2} }{3(x + 1)} \\ \\ = \frac{2(x + 1)}{x + 2} \times \frac{3(x + 1)}{ {(x + 1)}^{2} } \\ \\ = \frac{6 {(x + 1)}^{2} }{(x + 2) {(x + 1)}^{2} } \\ \\ = \frac{6}{(x + 2)} [/tex]
Related Questions
Amy runs a bakery. She makes a different amount of cake mix each day. She varies the amount of sugar based on the amount of the flour
Answers
Answer:
2
Step-by-step explanation:
3b - 13 + 4b = 7b + 1
Answers
Answer:
There is no solution
Step-by-step explanation:
Find the gradient of the line perpendicular to AB
Find the equation of the line perpendicular to AB and passing through point C
Answers
Answer:
a) 3
b) y=3(x-2)-2
Step-by-step explanation:
a)
Step 1: Find the gradient/slope of AB
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]=[tex]\frac{-2-2}{7-(-5)} =\frac{-4}{12} =-\frac{1}{3}[/tex]
Step 2: Find the gradient/slope of the line perpendicular to AB
The slope of the line perpendicular to AB is the reciprocal of the slope of the line AB multiplied by -1, so the slope of the line perpendicular to AB is 3.
b)
Step 1: Find the formula for the equation of a line
If you have a point and the slope, you can use the point-slope form, which is y-y1=m(x-x1).
Step 2: Plug in values to the formula
y-(-2)=3(x-2)
Step 3: Simplify
y+2=3(x-2)
y=3(x-2)-2
[tex]$a)$[/tex] The gradient of a line perpendicular to line [tex]$AB$[/tex] is [tex]$3$[/tex].
[tex]$b)$[/tex] The equation of the line perpendicular to line [tex]$AB$[/tex] and passing through point [tex]$C$[/tex] is [tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].
What is slope of perpendicular lines?
Lines that are perpendicular lines have slopes that are negative reciprocals.
It is given that the points,
[tex]$A=\left( -5,2 \right)$[/tex]
[tex]$B=\left( 7,-2 \right)$[/tex]
[tex]$C=\left( -2,5 \right)$[/tex]
[tex]$a)$[/tex] We will find the gradient of a line perpendicular to line [tex]$AB$[/tex] by using the slope formula.
So,
By the definition, the slope or gradient of a line describes its steepness, incline, or grade.
[tex]$m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}$[/tex] which is equal to [tex]$\tan \left( \theta \right)$[/tex].
Where [tex]$m$[/tex] is the slope and [tex]$\theta $[/tex] is the angle of incline.
So,
Slope [tex]$\left( m \right)=\frac{-2-2}{7-\left( -5 \right)}$[/tex]
[tex]m=\frac{-1}{3}[/tex]
So, The slope of the line perpendicular to [tex]AB[/tex] is the reciprocal of the slope of the line [tex]AB[/tex] which is multiplied by [tex]-1[/tex].
so the slope of the line perpendicular to [tex]AB[/tex] is [tex]3[/tex].
[tex]b)[/tex] We will find the equation of the line perpendicular to [tex]AB[/tex] passing through the point [tex]C[/tex] that is [tex](-2,5)[/tex] by using the formula,
[tex]y=mx+b[/tex]
Here,
[tex]y=5[/tex]
[tex]x=-\frac{1}{3}[/tex]
We will find the [tex]y-[/tex] intercept of the line [tex](b)[/tex] first.
So,
[tex]$5=-\frac{1}{3}\left( -2 \right)+b$[/tex]
[tex]$5=\frac{2}{3}+b$[/tex]
Subtract [tex]\frac{2}{3}[/tex] both side.
So,
[tex]$b=\frac{13}{3}$[/tex]
So, the line perpendicular to [tex]AB[/tex] and passing throught the point [tex]C[/tex] is,
[tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].
Hence,
[tex]$a)$[/tex] The gradient of a line perpendicular to line [tex]$AB$[/tex] is [tex]$3$[/tex].
[tex]$b)$[/tex] The equation of the line perpendicular to line [tex]$AB$[/tex] and passing through point [tex]$C$[/tex] is [tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].
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Write each fraction in simplest form.
12 over 48
6 over 15
Answers
Answer:
#1 is 1/4 #2 is 2/5
Step-by-step explanation:
they were able to be divided by a certain number that they were all equal to
Answer:
12/48=1/4 and 6/15=2/5
PLEASE HELP ASAP!!!!!!!!!!!
Find the equation of the line between ( -8, 2) and ( -4, 1)
Answers
Answer:
point slope form---> y-2=1/4(x- -8)
slope intercept form---> y=1/4x+4
Step-by-step explanation:
i didnt know which equation you were asking for
A line had a slope of -2/3 and passes through the point (-3, 8). what is the equation of the line?
A y=-2/3x+6
B y=-2/3x+8
C y=6x-2/3
D y=8c-2/3
PLS HURRY IM TIMED ON THIS
Answers
Answer:
I think B, but not sure.......
Step-by-step explanation:
If you can’t see it , it says ... Bella Amman is a sales consultant. She travels all over the country selling her company’s products. Her total monthly expenses for June , July, and August were $4,356.01 , $9,011.20 , and $8,780.00 . What was her average monthly expenditure?
A. $7,382.40
B. $6,565.00
C. $8,090.25
D. $22,147.21
Answers
Answer:
A.) $7832.40
Step-by-step explanation:
9,011.20+8,780.00+4,356.01
=22,147.21/3
=7382.40
3.8:(4c+3)=2: 2 2/19
what is c
will give brainiest pls help quick
Answers
Answer:
the answer will be be 0.25 for decimal but for a fraction it would be 1/4
Answer:
0.25 is the answer :D
A rectangle has an area of 20 square centimeters. Which of the following could be the rectangle’s length and width?
Answers
Answer:
You did not give any options
Step-by-step explanation:
But 20 and 1 or 4 and 5 or 2 and 10 could possibly be the rectangle's length and width.
All but the first answer choice could be the length and width of a rectangle.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
A rectangle has an area of 20 square centimeters.
WE know that The area of the rectangle = length × Width
3 cm and 8 cm = 24 cm^2
This cannot be area of the given reactangle.
1 cm and 20 cm = 20 cm^2.
This is the area of the given reactangle.
2 cm and 10 cm => 20 cm^2
This is the area of the given reactangle.
4 cm and 5 cm => 20 cm^2.
This is the area of the given reactangle.
All but the first answer choice could be the length and width of a rectangle.
The complete question is
Which of the following could be the rectangle’s length and width?
1. 3 cm and 8 cm = 24 cm^2
2. 1 cm and 20 cm = 20 cm^2.
3. 2 cm and 10 cm => 20 cm^2
4. 4 cm and 5 cm => 20 cm^2.
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Refer to the system of linear equations shown below. Which of the following statements gives the best choice for multiplying to solve this system using the elimination method? 3x−6y=4 6x+11y=−2
I NEED IT URGENtLY
Answers
Answer: I just took the test and the answer is Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.
Step-by-step explanation:
The solution for the given system of linear equations is (32/69, -10/23).
The given system of equations are 3x-6y=4 and 6x+11y=-2.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Here,
3x-6y=4 ---------(I) and 6x+11y=-2 ---------(II)
Multiply equation (I) by 2, we get
6x-12y=8 ---------(III)
Subtract equation (III) from (II), we get
6x+11y-(6x-12y)=-2-8
⇒ 23y=-10
⇒ y=-10/23
Substitute y=-10/23 in (I), we get
3x-6(-10/23)=4
⇒ 3x+60/23=4
⇒ 3x=4-60/23
⇒ x=32/69
So, solution is (32/69, -10/23)
Therefore, the solution for the given system of linear equations is (32/69, -10/23).
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A number raised to the third power. What is this called???
Answers
Answer:
Cubed
Step-by-step explanation:
You can think of it as the volume of a cube where the volume is x to the third power ([tex]x^{3}[/tex], let x = side of the cube) to help you remember. This also goes the same for x to the second power (squared) where it can represent the area of a square which is x².
Hope this helps :)
I dont need the work, just the answers :)
Answers
The answer is square root 117
Which number rounds to 65.8 when rounded to the nearest tenth?
65.08
65.74
65.82
65.86
Answers
can someone help asap!!:)
One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?
Answers
9514 1404 393
Answer:
5 and 15
Step-by-step explanation:
Let x represent the smaller number. Then the larger is x+10. The sum is ...
2x +3(x+10) = 55
5x +30 = 55
5x = 25
x = 5
The two numbers are 5 and 15.
__
Check
2·5 + 3·15 = 10 +45 = 55
A triangle has vertices at R(1, 1), S(–2, –4), and T(–3, –3). The triangle is transformed according to the rule R0, 270°. What are the coordinates of S'?
(–4, 2)
(–2, 4)
(2, 4)
(4, –2)
Answers
Answer:
A
Step-by-step explanation:
Answer:
a.
Step-by-step explanation:
Solve each system by graphing or using a table. Check your answers.
2x+y=−1
−x−2y=−4
Answers
Answer:
Step-by-step explanation:
Answer:
The first one: y = 2x - 1
The second one: y = 1/2x + 2
And if the second one is wrong, then it's y = x + 2.
please help asap!!!! i’ll mark brainlest
Answers
Answer:
C. 40 kilograms
Step-by-step explanation:
The hardcover version of a book weighs twice as much as its paperback version. The hardcover book and the paperback together weigh 4.2 pounds. Which system of equations can be used to find h, the weight of the hardcover book, and p, the weight of the paperback?
h = p − 4.2
h = 2p
h = 4.2 − p
p = 2h
h = p − 4.2
p = 2h
h = 4.2 − p
h = 2p
Answers
Answer:
the correct option id D.
h = 4.2 − p
h = 2p
The correct equation which can be used to find h, the weight of the hardcover book, and p, the weight of the paperback is,
⇒ h = 2p
⇒ h = 4.2 - p
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The hardcover version of a book weighs twice as much as its paperback version.
And, The hardcover book and the paperback together weigh 4.2 pounds.
Now,
Let the hardcover book weight = h
And, the paperback together weigh = p
Hence. We get;
h + p = 4.2
h = 4.2 - p
And, The hardcover version of a book weighs twice as much as its paperback version.
Hence, We get;
⇒ h = 2p
Thus, The correct equation which can be used to find h, the weight of the hardcover book, and p, the weight of the paperback is,
⇒ h = 2p
⇒ h = 4.2 - p
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Question 6(Multiple Choice Worth 4 points)
(03.04 LC)
When the function f(x) = 4(2)* is changed to f(x) = 4(2)* - 13. what is the effect?
O There is no change to the graph because the exponential portion of the function remains the same
O The x-intercept is 13 spaces higher.
© The y-intercept is 13 spaces lower.
O All input values are moved 13 spaces to the left
Answers
Answer:
C, the plus or minus at the end of a function stands for the point on the y axis going up or down 13.
Step-by-step explanation:
Brainlyest pls I need 1 more to level up
It would be 13 spaces lower because f(x) always equals y and -13 means you are going down 13 units.
Plz mark me brainliest
Write in expanded form.
Answers
Answer:
a²*b² /c*d
Step-by-step explanation:
Approximate 120 square root to the nearest hundredth.
Answers
Answer:
10.95
Step-by-step explanation:
The square root of 120 is 10.95445. And if you want it to the nearest hundredth it would be 10.95 :)
Given the function: f(x) = 7x + 8.
Find the value of y when x = -6.
Answers
Answer:
-34
Step-by-step explanation:
7x + 8
7(-6)+8
-42+8
-34
Have a beautiful day! v(⌒o⌒)v
f(-6)=7(-6)+8
f(-6)=-34
Simplify 4(2x-3) 7th grade math
Answers
Answer:
8x-12
Step-by-step explanation:
Answer:
8x-12Step-by-step explanation:
[tex]4(2x-3)[/tex]
Expand
[tex]4\times 2x = 8x\\\\4\times(-3)=-12\\\\8x-12[/tex]
Plzzz help its due by 12
Answers
Answer:
THE MAN WHO PUT SOAP IN HIS SOUP SO HE COULD WASH IT DOWN WITH SOMETHING
Step-by-step explanation:
Answer:
me think me made girl mad on brainly
Step-by-step explanation:
An NBA Basketball Court is a RECTANGLE that is 94 FEET long and 50 FEET wide. What is the AREA of the Court ? What is the PERIMETER of the Court?
Answers
Answer:
perimeter: 288 feet
area: 4700 feet
Step-by-step explanation:
explanation if wanted
Answer:
perimeter: 288 feet
area: 4700 feet
Step-by-step explanation:
At Stop n Shop they are selling fried chicken for $1.95 a pound. If Amiyah buys 13.2 pounds how much will she spend?
Answers
Answer:
Step-by-step explanation:
Price of one pound = 1.95
Price of 13.2 pounds = 13.2 x 1.95 = 25.74
12y=5x-15
4.2y+6.1x=11
Round to the nearest hundredth.
X=
Y=
Answers
Answer:
-15 and 11
Step-by-step explanation:
Reduce all answers to their
lowest terms.
4 x 5/7
Answers
Answer:
2 6/7
Step-by-step explanation:
There are 4 tablespoons in 1/4 cup. There are 2 cups in 1 pint. How many tablespoons are there in 1 pint?
Answers
Answer:
i think the answer is 32
Answer:
32 tablespoons
Step-by-step explanation:
solve 4 x 9.4 using distributive property. show your work
Answers
so it basically 36.16
Step-by-step explanation:
4x9=36
4x4=16
36.16