Answer:
56x² - 120x + 16 ; (9x - 5)² - (5x - 3)²
x in both equations is 5
Step-by-step explanation:
Painting 1 : 81x^2 - 90x + 25
Painting 2 : 25x^2 + 30x + 9
Expression for the difference between the two paintings :
Painting 1 - painting 2
(81x^2 - 90x + 25) - (25x^2 + 30x + 9)
81x^2 - 90x + 25 - 25x^2 - 30x - 9
81x² - 25x² - 90x - 30x + 25 - 9
56x² - 120x + 16
2.)
81x^2 - 90x + 25 = 1600in²
25x^2 + 30x + 9 = 484 in²
Factorizing each equation :
81x^2 - 90x + 25 = 1600 in²
(9x - 5)^2 = 1600 in²
25x^2 + 30x + 9 = 484 in²
(5x - 3)^2 = 484
(9x - 5)² - (5x - 3)²
2.)
(9x - 5)^2 = 1600
Take square root of both sides
9x - 5 = 40
9x = 40 + 5
9x = 45
x = 45/9
x = 5
(5x - 3)^2 = 484
Take square root of both sides
5x - 3 = 22
5x = 22 + 3
5x = 25
x = 25/5
x = 5
10. A line with a negative slope and a negative
y-intercept is graphed on a coordinate
plane. Which quadrant will the line not pass
through? Justify your response.
Answer:
The line will not pass through the first quadrant.
Step-by-step explanation:
Since the y-intercept is negative, and the slope is negative, the line will start in the second quadrant, pass through the third quadrant to intercept the y-axis, then pass through the fourth quadrant. It will never touch the first quadrant.
There are 84 groups in a bag. For friends are sharing the grapes. Write an equation that can be used to find out how many grapes G each friend will yeah if each friend gets the same number of groups
6n – 7n – 4 + n
Terms:
Like terms:
Coefficient:
Constants:
HELP PLSSS
Answer:
-4
Step-by-step explanation:
Please help. its not hard
Answer:
Tbh Im not sure
Step-by-step explanation:
Answer:
I think the answer is 1/2 (x^2 + 11x + 30) but see the discussion below.
Step-by-step explanation:
I can hardly read the signs between the dimensions. This is my best guess.
Area Shaded = Area Rectangle - Area Triangle
Area Rectangle = (x + 5)(x + 6)
Area Triangle = 1/2 (x + 5 ) ( x + 6)
Area shaded = (x + 5)(x+6) - 1/2 (x + 5)(x + 6)
Area shaded = 1/2 (x + 5)(x + 6)
Area Shaded = 1/2 (x^2 + 11x + 30)
If the second factor (x + 6) is really x - 6 then the area of the shaded area is 1/2 (x+5)(x - 6)
Area Shaded = 1/2 * (x^2 - x - 30)
Donkey Kong is rolling cylindrical barrels
of different sizes at Mario.
The DIAMETER of the barrel is 16.5.
What is the circumference of the barrel?
If your answer is correct Mario will clear the barrel.
Circumference of the barrel is 51.81 unit
Circumference of the circle:Given that;
Diameter of barrel = 16.5 unit
Find:
Circumference of the barrel
Computation:
Radius of barrel = 16.5/2 unit
Radius of barrel = 8.25 unit
Circumference of the barrel = Circumference of the circle
Circumference of the barrel = 2πr
Circumference of the barrel = 2(3.14)(8.25)
Circumference of the barrel = 51.81 unit
Find out more information about 'Circumference'.
https://brainly.com/question/4268218?referrer=searchResults
what is the slope of the graph
Answer:
1 over 4
Step-by-step explanation:
if u do rise over run it will be 1 over 4 as well
Step-by-step explanation:
x=20 y =5
y=mx+b
b=0
5=20m
m=5/20=0.25
the slope is 0.25
3x^2+ 7x +2, can I get help with this one also ?
Answer:
(3x + 1)(2x + 1)
Step-by-step explanation:
Remark
This thing really does factor.
Both the first and last coefficients are prime, so if it factors easily 1 and 3 and 1 and 2 must be there somewhere.
(3x + 1)(x + 2) would be the logical guess. That turns out to be correct.
In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?
158
132
120
110
70
Answer:
ps and qr is parellel so the 70°and x is co interior angles.
so, our equation will be look like .
70°+x=180°
x=180°-70°
x=110°
The sides PS and QR are parallel for x = 110°
Option 4 is correct.
What are consecutive-interior angles?The pair of non-adjacent interior angles that are on the same side of the transversal are referred to as consecutive internal angles.The term "consecutive" describes events that take place side by side.
As per the given data:
PQRS is a quadrilateral with sides PS and QR parallel.
∠P = 70°
∠Q = x°
∠S = 112°
For sides PS and QR to be parallel:
∠Q + ∠P = 180° {Co-interior angles on the same side of the transversal}
x° + 70° = 180°
x = 110°
Hence, sides PS and QR are parallel for x = 110°
To lean more about consecutive-interior angles, click:
brainly.com/question/17147541
#SPJ2
The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Explain your answer.
Answer:
Two numbers (integer only): 5 , 12
Step-by-step explanation:
Suppose two numbers are integers: ax and ay, a is common factor and x,y no more common factor
axy = 60 a: 1,2,3,4,6,10,12,30
ax - ay = a(x-y) = 7
after test , I exclude 3,4,6,10,12,30
if a=1 xy=60 (x,y): (3,10) (4,15) (5,12)
(5,12): LCM: 5*12=60 12-5=7
if a=2 xy=30 (x,y): (2,15) (3,10) (5,6) No solution in this combination
It took Jenny 2 hours to knit 1/3 of a scarf.
How many hours will it take for her to make
one scarf?
Answer:
6 hours
Step-by-step explanation:
Bc 2hours for 1/3 so and 4 more hours and u get 6. Hope this helps u have a good day. Sorry if wrong
Answer:
6 hours
Step-by-step explanation:
what is the common ratio of the geometric sequence below? –2, 4, –8, 16, –32, ...
Answer:
The common ratio of the geometric sequence is:
[tex]r=-2[/tex]
Step-by-step explanation:
A geometric sequence has a constant ratio 'r' and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
where
aₙ is the nth terma₁ is the first termr is the common ratioGiven the sequence
[tex]-2,\:4,-8,\:16,\:-32,\:...[/tex]
Compute the ratios of all the adjacent terms: [tex]r=\frac{a_n+1}{a_n}[/tex]
[tex]\frac{4}{-2}=-2,\:\quad \frac{-8}{4}=-2,\:\quad \frac{16}{-8}=-2,\:\quad \frac{-32}{16}=-2[/tex]
The ratio of all the adjacent terms is the same and equal to
[tex]r=-2[/tex]
Therefore, the common ratio of the geometric sequence is:
[tex]r=-2[/tex]Hey. Could you help?
Answer:
C
Step-by-step explanation:
sorry, I dont have time for a full explanation. maybe wait for the next person's answer too. just to verify mine.
hope this helps <3
What is the measure of Y? 4·9=36=36/4
Answer:
Figure or Diagram Mandatory
GOOD LUCK FOR THE FUTURE! :)
Will give, Branliest for anyone who answers.
5/2
10/4
15/6
50/20
300 G 150 G 75 G
140 G 70 G 35 G
420 G 210 G 105 G
220 G 110 G 55 G
Mr. Seoul left $48,000 to his family when he passed. If he left 66 2/3% to his wife, how much did she receive?
Answer:
The answer is $32000.
Step-by-step explanation:
Write a function rule for the statement.
The output is the cube of the input .
Y= _
Answer:
f(x) = x3
Step-by-step explanation: im not smart i just looked up your question and thats what i got
will give brainliest
Answer:
The answer is B
Step-by-step explanation:
Help I need to turn this in today:)
Total surface area
=2 ×(area of triangle) +( area of rectangle 1) + (area of rectangle 2) + (area of rectangle 3)
2×(1/2 × 16 ×12) + (10×12)+(16×10)+(20×10)
=672 cm²
At the beginning of the year, the number of books owned by a library was 10,000. Since then, it has grown by 1% each month.
Which expressions represent the number of books, in thousands, owned by the library 5 years later if it continues to grow at that rate?
Answer:
y = 10(1.01)^60
Step-by-step explanation:
The general equation of exponential growth is
y = ab^x
b has to do with the rate of growth.
b = 1 + r, so in this case, b = 1 + 1% = 1 + 0.01 = 1.01.
Now we have
y = a(1.01)^x
a is the initial value, so now we have
y = 10000(1.01)^x
where y is the number of books after x months
Since you need the number of books after 5 years, we must convert 5 years into months.
5 years * (12 months)/year = 60 months
The problem wants the expression in thousands of books, so we divide the initial value by 1000.
Answer: y = 10(1.01)^60
Expression representing the number of books after 5 years,
[tex]A(60)=10000(1.01)^{60}[/tex]
Exponential growth: Exponential growth function is given by,[tex]A(t)=A_0(1+r)^t[/tex]
Here, [tex]A(t)=[/tex] Final amount
[tex]A_0=[/tex] Initial amount
[tex]r=[/tex] Growth rate
[tex]t=[/tex] Duration or time
Given in the question,
Initial number of books = 10000 Growth rate = 1% Duration = 5 years ≈ 60 monthsSubstitute these values in the expression,
[tex]A(t)=A_0(1+r)^t[/tex]
[tex]A(60)=10000(1+0.01)^{60}[/tex]
Therefore, expression representing the number of books after 5 years will be → [tex]A(60)=10000(1.01)^{60}[/tex]
Learn more about the exponential growth here,
https://brainly.com/question/10709151?referrer=searchResults
help me out with this pls (multiple choice)
Answer:
C
Step-by-step explanation:
In a 45-45-90 triangle, two of the sides are congruent because the angles are congruent. Choice C is the only answer in which the sides are congruent.
Joe borrowed $6,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 3 years?
Answer:
$19,260
Step-by-step explanation:
6,000 * 7% = 420
6,000 + 420 = 6,420
6,420 * 3 = 19,260
easy
Answer:
$1,260
Step-by-step explanation:
So first of all you want to start by finding what P, r and t would be.
P = Principal amount ($$)
r = interest rate (%)
t = time (years)
Once I found all of those I put them into the equation (l = Prt) and solved (by putting it into a calculator obviously). That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)
Hope this helps! :)
Have a great day!
Calculator
What is the surface area of the square pyramid represented by
the net?
Enter your answer in the box.
5 ft
ft?
Answer:
40.32
Step-by-step explanation:
I did it on Goggle
Which interval on the graph could be described as linear increasing?
A
B
C
D
In the given function y = 2x2-8x, when you factor out a, what is left inside the
parentheses?
Answer:
[tex]y = {x}^{2} - 4x[/tex]
Last year, Maya opened an investment account with 8,800. At the end of the year, the amount in the account had decreased by 26.5%. How much is this decrease in dollars? How much money was in her account at the end of last year?
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Initial investment= $8,800
Percentage decrease= 26.5%
To calculate the money Maya lost, we need to use the following formula:
Decrease on dollars= 8,800*0.265
Decrease in dollars= $2,332
At the end of the years she has:
Money left= 8,800 - 2,332
Money left= $6,468
Solve the multi-step equation and place the steps in the correct order.
(Pls)
Answer:
1. 3x -6 + 4 = -20
2. 3x - 2 = -20
3. 3x = -18
4. × = -6
Answer:
The first one is 3x-2=-20. So the - 2 will cross the equal sign making it positive so it will be 3x = -20+2 given you 3x = - 18. You will divide it by 3 given u - 6. So all of them x= - 6
Can someone please Classify the angles ? I don’t need a conclusion ....
Answer:
Right triangle
Step-by-step explanation:
A right triangle is a triangle in which one angle is a right angle.
anyone know how to do this???
Answer:
My guess would be B
Step-by-step explanation:
I have no definite way to solve this, so i may be wrong. Take this with a grain of salt. If this assignment is graded, I suggest wait for someone elses
answer on Brainly.
can you help me please
Given:
The figure of a triangle.
To find:
The value of x.
Solution:
According to the triangle proportionality theorem, if a line segment divides the two sides of a triangle and parallel to the third side of the triangle, the it divides the two inclined sides proportionally.
Using triangle proportionality theorem, we get
[tex]\dfrac{2x}{80}=\dfrac{27}{60}[/tex]
[tex]\dfrac{x}{40}=\dfrac{9}{20}[/tex]
Multiply both sides by 40.
[tex]x=\dfrac{9}{20}\times 40[/tex]
[tex]x=9\times 2[/tex]
[tex]x=18[/tex]
Therefore, the value of x is 18.
THIS IS DUE REALLY SOON CAN SOMEONE HELP PLEASE???
find the # of tiles in stages 0-4, then write an expression that represents the pattern.
Answer:
# = number of tiles + 2
Step-by-step explanation:
So It would be 3,5,7 but your would add 2 to each number of tiles increased.
There were 0 tiles in step 0
Answer:
It can be observed that there is a pattern
Step 1
2 + 1 = 2 + 1²Step 2
2 + 4 = 2 + 2²Step 3
2 + 9 = 2 + 3²Step 4
2 + 4²Step n
2 + n²