The length is 12 cm and width is 9 cm.
what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Area = 108 cm²
and, The length of a rectangle is 3 cm greater than its width.
let the width of rectangle be x.
so, length = x+ 3
So, Area of Rectangle = l x w
108 = x(x+ 3)
x² + 3x -108 = 0
x² + 12x - 9x -108 = 0
x( x+ 12) -9 ( x+ 12)= 0
(x + 12)(x- 9)=0
x= -12, +9
So, length is 12 cm and width is 9 cm.
Learn more about Algebra here:
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Choose the graph that is represented by the function:
y=- 63/4x2 + x4 - 4
Select one:
a. D
b. B
c. C
d. A
Answer:
is a. D.
Step-by-step explanation:
I hope you serve my answer and goodluck ^^
A parabola can be drawn given a focus of (6,-2)and a directrix of x = -−3. What can be said about the parabola?
Answer:4
Step-by-step explanation:
6,-2=x-3=4
How do you Convert fractions to a decimal
When is the slope intercept form only y= mx and not y = mx+b?
Answer:
No Y-Intercept
Step-by-step explanation:
The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.
Solve the equation 2/3(6x-3/2) = 3 - x Options: (A x=1) (B x = 1 1/4) (C x = 4/5) (D x =2/5)
Answer:
C x=4/5
Step-by-step explanation:
For each 11 mm of coloured fabric June uses to make her curtains, she also uses 1 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form
Answer: The amount of white fabric to coloured fabric as a ratio in its simplest form is [tex]\frac{10}{11}[/tex]
Step-by-step explanation:
Given :
Amount of coloured fabric used by June = 11 mm = 1.1 cm (1 mm=0.1 cm)
Amount of white fabric used by June = 1 cm
To find : amount of white fabric to coloured fabric as a ratio in its simplest form
To find the ratio in simplest form , the units of both measurements should be same
Thus [tex]\frac{\text {amount of white fabric}}{\text {amount of coloured fabric}}=\frac{1cm}{1.1cm}=\frac{10}{11}[/tex]
The amount of white fabric to coloured fabric as a ratio in its simplest form is [tex]\frac{10}{11}[/tex]
The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles for plane A. The table represents the relationship for plane B. Find the slope of the graph for each plane and the plane's rate of speed. Determine which plane is flying at a faster rate of speed look at the picture please
Answer:
Plane A:
The rate of change or slope of function A is: m = 470
It means plane A is flying 470 miles per hour.
Thus, the rate of speed of plane A is 470 miles per hour.
Plane B:
The rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Thus, the rate of speed of plane A is 480 miles per hour.
Therefore, we conclude:
Plane B is flying faster.Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the rate of change or slopeb is the y-interceptPlane A
From the given equation
y = 470x
where
x is the time that plane flies in hours
y is the distance the plane flies in miles
Thus, comparing with the slope-intercept form y = mx+b
The rate of change or slope = 470
It means plane A is flying 470 miles per hour.
Plane B
Given the table
Time (h) 1 2 3 4
Distance (mi) 480 960 1440 1920
Finding the slope by taking any two points, let say, (1, 480) and (2, 960)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:480\right),\:\left(x_2,\:y_2\right)=\left(2,\:960\right)[/tex]
[tex]m=\frac{960-480}{2-1}[/tex]
Refine
[tex]m=480[/tex]
Therefore, the rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Conclusion:
Plane A:
The rate of change or slope of function A is: m = 470
It means plane A is flying 470 miles per hour.
Thus, the rate of speed of plane A is 470 miles per hour.
Plane B:
The rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Thus, the rate of speed of plane A is 480 miles per hour.
Therefore, we conclude:
Plane B is flying faster.
The perimeter of a college basket ball court is 96 m and the length is 14m
more than the width. What are the dimensions?
width=17m
length= 31m
Step-by-step explanation:
width = x
length= x+14
perimeter = 96m
2(x+x+14)=96
4x+28=96
4x=68
x=17
width=17m
length= 31m
Segments DE and AB are parallel
Answer:
yes segment DE and AB are parallel
Answer:
CB = (CE*AC)/CD
Which agrees with the second answer listed
Step-by-step explanation:
We use the proportion among similar triangles:
CE/CD = CB/AC
and solve for CB:
CB = (CE*AC)/CD
Which agrees with the second answer listed
Under his cell phone plan Jason pays a flat cost of $60.50 per month and four dollars per gigabyte he wants to keep his bill at $68.90 per month how many gigabytes of data can use while staying within his budget
Answer:
2 gigabytes of data
Step-by-step explanation:
Given
Amount Jason keeps per month = $68.90
Cost of flat per month = $60.50
Balance for data = 68.90-60.50
Balance for data = $8.40
If 1Gigabyte = $4
x = $8.40
Cross multiply
4x = 8.40
x = 8.40/2
x = 2.20
Hence Jason can only use 2 gigabytes of data while staying within his budget
Answer:
2.1 gigabytes
Step-by-step explanation:
DELTA MATH
Mackenzie practices the piano 609 minutes in 3 weeks. At what rate did she practice, in minutes per day?
Answer:
the answer is 29
Step-by-step explanation:
good luck! <33
Answer:
The answer is 203
Step-by-step explanation:
I started off by dividing 609 by 3 and your answer is on the top. You're welcome!!
what is it plz ????????????
for the function h(x) = 4x2 -5x what is the value of (-3)
Answer:
h(-3) = 51
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
h(x) = 4x² - 5x
h(-3) is x = -3
Step 2: Evaluate
Substitute in x: h(-3) = 4(-3)² - 5(-3)Exponents: h(-3) = 4(9) - 5(-3)Multiply: h(-3) = 36 + 15Add: h(-3) = 51Answer:
f(-3) = 51
Step-by-step explanation:
f(x) = 4x^2 - 5x
f(-3) = 4(-3)^2 - 5(-3)
f(-3) = 4*9 - (-15)
f(-3) = 36 + 15
f(-3) = 51
A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?
Answer:
point slope form: y - 1 = 4 (x -2)
slope intercept form: y = 4x -7
Step-by-step explanation:
If you want it in point slope form it would be: y - 1 = 4 (x -2)
but if you want it in slope intercept form, you solve this equation
y -1 = 4 (x-2)
y-1 = 4x -8
+1 +1
y = 4x -7 in slope intercept form
NEED THIS ASAP PLSSS HELP
Answer:
um
Step-by-step explanation:
um
please help me answer all of these
Answer:
y int:(0,8)
x int:-2&4
vertex:(1,9)
max y=9
axis of symetry x=1
domain: all real number
range: y less than or equal to 9
My last one please help me
Answer:
Step-by-step explanation:
Only D has a chance of being correct. 7x means you multiply 7 and whatever x is together.
A and B look like they are added.
C looks like some sort of subtraction has taken place.
D: - 1 * 7 = - 7
4*7 = 28
5*7 = 35
I need serious help, this is hard
======================================================
Explanation:
M is the midpoint of segment PQ. This means PQ is cut in half into two equal smaller pieces PM and MQ. We can say that PM = MQ.
Furthermore, we can say that PQ is twice as long as either piece, so
PQ = 2*PMPQ = 2*MQWe'll use the second equation to say the following:
PQ = 2*MQ
6x+56 = 2*MQ .... replace PQ with 6x+56
6x+56 = 2*(5x+8) .... replace MQ with 5x+8
6x+56 = 2*5x + 2*8 .... distribute
6x+56 = 10x+16
6x+56-10x = 16 .... subtract 10x from both sides
-4x+56 = 16
-4x = 16-56 ..... subtract 56 from both sides
-4x = -40
x = -40/(-4) ..... divide both sides by -4
x = 10
Once we know the value of x, we use it to find the length of PM
PM = MQ
PM = 5x+8
PM = 5*10+8
PM = 50+8
PM = 58
Note how PQ = 6x+56 = 6*10+56 = 116 is exactly twice as large compared to 58. In other words, 2*58 = 116. This confirms that PQ is twice as long compared to PM or MQ. This helps confirm we have the right answer.
I’m not sure if it’s 1 but I know it’s not 3 and if you answer please Give an explanation!
Answer:
1
Step-by-step explanation:
if you substitute 1 in for x, you would see that 5 = 5
hope this helps!
Somebody pls answer this fast!!!!
A new novel is 540 pages. Emily has read 192 pages in 6 hours. Maria has read 170 pages in 5 hours.
a. Who reads faster, Emily or Maria?
b. How long will it take Maria to read the entire novel at her current rate?
Answer:
maria reads faster (34 pages in a hour compared to 32) and might finish around 15.88 hours
Step-by-step explanation:
i dont think the second part is right
Mr. Garcia has been asked to give 6 desks to Mrs. Johnson. He needs to keep at least 17 desks for his students. He created a model to find x, the number of desks he must have in order to give 6 desks to Mrs. Johnson. Which inequality represents the model for this situation?
Answer:
The inequality which represents the model for this situation is [tex]x-6\geq 17[/tex].
Step-by-step explanation:
Let Mr. Garcia has [tex]x[/tex] number of desks initially.
He has been asked to give [tex]6[/tex] desks to Mrs. Johnson.
Also, he needs to keep at least [tex]17[/tex] desks for his students.
So, after giving [tex]6[/tex] desks to Mrs. Johnson from the total number of desks he has, he must have at least [tex]17[/tex] desks for his students.
Therefore, the inequality is: [tex]x-6\geq 17[/tex].
Hence, the inequality which represents the model for this situation is [tex]x-6\geq 17[/tex].
3 definitions of slope
1. A book has x pages. How many pages are in the book if Maria read 45 pages of a book on
Monday, 1/2 the book on Tuesday, and the remaining 72 pages on Wednesday? *
(10 Points)
117 pages
234 pages
351 pages
468 pages
Answer:
234
Step-by-step explanation:
45+72=117
117x2=234
is one plus one 15 please answer ASAP
Answer: no its 2
Step-by-step explanation:
lol
How many times can 4 go into 33
Answer:
8 but you would have a remainder of 1
Step-by-step explanation:
4x8 is 32 so 8 r1
What happens to a figure that is dilated by a factor of ½ .
Answer:
i really dont know
Step-by-step explanation:
I GIVE BRAINLIEST MARKS I SWEAR rational functions, construct table values and sketch the graph of rational functions
Answer:
Download math)way it helps I swear
Step-by-step explanation:
Answer:Hope this is rght I only can answer the first
one.
Step-by-step explanation:
A sporting goods store sold 2.5 times as many footballs as basketballs last year. Drag to represent the number of footballs sold for every 2 basketball sold
Answer:
5 units of football
Step-by-step explanation:
Given that :
2.5 times as many footballs as basket balls is sold;
This means that ; for every unit of basketball sold 2.5 times that unit is the number of football sold ;
Hence, for every 2 basket balls sold, the number of units of football sold is ;
2 * 2.5 = 5 units
A line with a slope of 1/3 passes through (-5,r) and (4,1) To make this work correctly, the value of r is?
Answer:
Add the 1/3 to look for the r
Step-by-step explanation:
good luck
(3^5)^2/3^-2
Simplify please
Answer: 531441
Step-by-step explanation:
3⁵*²/3⁻²=3¹⁰/3⁻²=3¹⁰⁻⁽⁻²⁾=3¹⁰⁺²=3¹²=531441