Answer: 6 and 7
Step-by-step explanation:
Let the numbers be x and x + 1
We can form and equation as:
2(x²) + (x+1)² = 121
2x² + (x + 1)(x + 1) = 121
2x² + x² + x + x + 1 = 121
3x² + 2x = 121 - 1
3x² + 2x = 120
3x² + 2x - 120 = 0
3x² - 18x + 20x - 120 = 0
3x(x - 6) + 20(x - 6)
Therefore, x - 6 = 0
x = 0 + 6
x = 6
The numbers are 6 and 7
The two numbers given in the statement is required.
The two numbers can be [tex]6,7[/tex] or [tex]-\dfrac{20}{3},-\dfrac{17}{3}[/tex]
Quadratic equationLet [tex]x[/tex] be the first number
[tex]x+1[/tex] be the next consecutive number
From the statement we get
[tex]2x^2+(x+1)^2=121\\\Rightarrow 2x^2+x^2+2x+1=121\\\Rightarrow 3x^2+2x-120=0\\\Rightarrow x=\dfrac{-2\pm \sqrt{2^2-4\times3\left(-120\right)}}{2\times3}\\\Rightarrow x=6,-\dfrac{20}{3}[/tex]
If [tex]x=6[/tex]
the other number is [tex]x+1=6+1=7[/tex]
If [tex]x=-\dfrac{20}{3}[/tex]
the other number is [tex]x+1=-\dfrac{20}{3}+1=-\dfrac{17}{3}[/tex]
Learn more about quadratic equations:
https://brainly.com/question/1214333
What is the area? of this
Answer:
365 in^2
Step-by-step explanation:
15 - (5+3) = 7 which is the side of the rectangle.
7*20 = 140 is the area of the top rectangle
15*15 = 225 is the area of the bottom square
365 is the total area
Helpppp!!!!
Work out the size of angle x.
answer is 118°
hope that helped
The measure of an angle is nine times the measure of its supplementary angle. What is the measure of each angle?
Answer:
18 and 162
Step-by-step explanation:
please help me!!!!!!!!111
Cube of a binomial (a - b)
Answer:
(a - b)³ = a³ - 3a²b + 3ab² - b³Step-by-step explanation:
Cube of a binomial (a - b)
(a - b)³ = a³ - 3a²b + 3ab² - b³Madeline is going to invest in an account paying an interest rate of 4.4% compounded
annually. How much would Madeline need to invest, to the nearest ten dollars, for
the value of the account to reach $16,600 in 12 years?
Answer:
$9540
Step-by-step explanation:
A = P(1 + r)^t
16600 = P(1.044)^12
P = 16600/(1.044)^12
P = $9,543.64
Find the area of a semi circle if the diameter is 3m
Answer:
The radius of the circle=
3/2
1.5
Area of circle= Pi x radius^2
3.14 x 1.5^2
=7.06m^2
Since it's a semi circle
7.06/2
=3.53m^2
Hope it helps
The length of CD is 12 units. C'D' is the image of CD under a dilation with a scale factor of k.
Which of these are true? Choose all that are correct.
solve each system by substitution
y=-2x + 7
y = 3x - 13
Answer:
y = -1, x =4
Step-by-step explanation:
3x-`13=-2x+7
x = 4
y=3(4)-13
y = -1
What is the length of the hypotenuse with
the given vertex (-5,0)?
I
Answer:
5000 square ft
Step-by-step explanation:
what is 7.25-6.17=? in subtracting decimals
Answer:
1.08
Step-by-step explanation:
Denise rode 3 kilometers on a bike. her friend clark rode 5000 meters on a bike
how much farther in meters did one person ride than the other?
[tex] \huge \purple{\tt{Answer:}} [/tex]
Denise rode 3 kilometres .
Clark rode 5000 metres which is 5 kilometres .
So , Clark rode 2 kilometres more than Denise .
Answer:
Step-by-step explanation:
1 km = 1000m
3km = 3000m
So difference = 5000 - 3000 = 2000m = 2km
Clark rode 2km more than denis
ANSWER ASAP!!! PLS HELP.
u can only use these for 15, 16 & 17:
acute equilateral ,
obtuse scalene , right scalene , acute isosceles
Step-by-step explanation:
15 . It is an acute equilateral triangle.
16. It is an obtuse scalene triangle.
17. It is right scalene triangle.
Hope it will help :)
raise c to the 8th power!
Answer:
c^8
Step-by-step explanation:
Answer:
you cant
Step-by-step explanation:
if c is a variable, then to put it to the power of anything, we would need to know what the value of c is.
I need help with this math problem!! i'll give brainilist to the correct answer :)
Answer:
Blank 1: x
Blank 2: 1.5
Step-by-step explanation:
#thanks for the points!
#Chloe919
#carry on learning
the amusement park charges $20 to get in plus $1.50 per ride which linear equation represents this relationship y=1.5+20x,y=21.5x,y=1.5x+20,y=20x+1.5
Step-by-step explanation:
1.50 per ride tones X number of rides plus a 20 entrance fee
y= 1.5x + 20
Bettina bought 8 pairs of socks for $23.20. Nancy bought 10 pairs of socks for $30.00. Nancy says that she paid less per pairs of socks than Bettina. Is Nancy correct
Answer: yes, Nanay did´t buy more pairs of socks, she had bayed more. I hop that this is helpful.
can you create a equation for this
Answer:
it's y = 2x
Step-by-step explanation:
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PLZ HELP IM TRASH AT MATH
Answer:
C should be the answer.
Step-by-step explanation:
Square root of 50 is equal is 7.071.
7.071 is right in between 7 and 8, making it the right answer for C.
Answer:
C??
Step-by-step explanation:
I mean if you put it in the calculator, then you get 7.07 so... lemme know if im wrong :D
Is Janelle correct? Yes, because the lines are not parallel. Yes, because the lines will intersect. No, because the lines are in the same plane. No, because the lines are perpendicular.
Answer:
Step-by-step explanation:
No, because the lines are in the same plane.
Alan has read 10% of a book. He has 81 more pages to finish. How many pages are there in the book?
Answer:
90
Step-by-step explanation:
100%-10%=90%
90%->81
10%->9
100%->9+81=90
Select the correct answer. .
Which number has a repeating decimal form?
A 15
B 11/25
C 3/20
D 2/6
Answer:
B
Step-by-step explanation:
I say B because 2 divided by 6 is .333333333 and so on and so forth.
Hope this helped!!
2n^2 + 3n-1
find the 10th term
Answer:
229
Step-by-step explanation:
t10= 2×10^2+3×10-1
=2×100+30-1
=200+29
=229
Answer:
229
Step-by-step explanation:
[tex]2n^{2} + 3n -1\\[/tex]
[tex]2 (10^{2} ) + 3(10) -1[/tex]
[tex]200 + 29 = 229[/tex]
A new car is purchased for 24600 dollars. The value of the car depreciates at 5.5% per year. To the nearest year, how long will it be until the value of the car is 11300 dollars?
Answer:
The number of years until the value of the car is 11300 dollars is 9 years.
Step-by-step explanation:
This can be calculated using the following formula:
Value of the Car = Purchase cost - (Annual depreciation expenses * N) ........ (1)
Where;
N = Number of years until the value of the car is 11300 dollars
Purchase cost = $24,600
Annual depreciation rate = 5.5%
Annual depreciation expenses = $24,600 * 5.5% = $1,353
Value of the car = $11,300
Substituting the value into equation (1) and solve for N, we have:
$11,300 = $24,000 - ($1,353 * N)
$1,353 * N = $24,000 - $11,300
$1,353 * N = $12,700
N = $12,700 / $1,353
N = 9.38654841093865
Rounding to the nearest year as required by the question, we have:
N = 9
Therefore, the number of years until the value of the car is 11300 dollars is 9 years.
Step-by-step explanation:
Roberto is dividing his baseball cards equally between himself, his brother, and his 3 friends. Roberto was left with 9 cards. How many cards did Roberto give away? Write and solve an equation to solve the problem.
PLZZZ HELP MEE ILL GIVE BRAINLIEST AND 50 POINTS!!!
Answer:
The answer would be 45.
Step-by-step explanation:
5*9=45
Answer:
45
Step-by-step explanation:
First we count how many people he split it between which is 5 and we have to remember the key word here is equal so if he was left with 9 then everybody else did as well. so we multiply 5 times 9 which is 45
e) 6x-(3x+2)=1 how much is the x
Answer:
1
Step-by-step explanation:
6x - ( 3x + 2) = 1
6x - 3x - 2 = 1
3x = 1 + 2
3x = 3
x = 3 / 3
x = 1
Hope it will help :)
Answer:
x=1
Step-by-step explanation:
University students will draw a card from a deck of cards. They win a prize if they draw a card marked with a picture of a Texas longhorn. The probability of drawing a card
2
with a longhom is Plonghorn card
card) –
425 students will play the game. Using what you know about theoretical probability, predict how many students will draw a longhorn card.
2/85
Answer:
2/85
Step-by-step explanation:
It's easy.
Kenneth Drew a scale drawing of an apartment the scale of the drawing was 2 meters:1 meter the living room is 6 m long in real life how long is the living room in drawing
Answer:
3 meters
Step-by-step explanation:
Given the scale drawing :
2m : 1m
Length of living room in real life = 6 m long
2 meter = 1 meter
Real life = scale drawing
If length = 6 meter long ;
using cross multiplication :
2 meter = 1 meter
6 meter = x
2x = 6
x = 6/2
x = 3 meter
Length of living room in drawing = 3 meters
A line is parallel to y = 3x + 5 and
intersects the point (-2, 6). What is
the equation of this parallel line?
Start by entering this into point-slope form.
y- [?] = [](x
](x-[]).
Answer:
Im not like 100% sure but i think you answer is
y-6=3[x-(-2)]
y=6+3x+6
y=3x+12
And i believe that this is parallel to y
Answer:
y = 3x + 12Step-by-step explanation:
Parallel lines have same slope
Given line
y = 3x + 5The line that passes through (-2, 6) and with the slope of 3 is:
y - y₁ = m(x - x₁)y - 6 = 3(x - (-2))y - 6 = 3(x + 2)Convert the equation into slope-intercept form:
y - 6 = 3x + 6y = 3x + 6 + 6y = 3x + 12Basil was shown this enlargement, and he was asked to find the perimeter of the enlarged shape. His work is shown below.
The question is incomplete. The complete question is :
Basil was shown this enlargement, and he was asked to find the perimeter of the enlarged shape. His work is shown below.
Where, if any, did Basil first make a mistake in his work?
Solution :
Not -- Basil did not make any mistakes in his work. He found out the perimeter of an enlarged shape.
Perimeter is the total measure of the outer lining or the total outer length of the body or the shape. For different shapes, the perimeters will be different. Basil measure the outer length of the body and found out the perimeter.
Answer:
C
Step-by-step explanation: