The 2 unknown numbers are 4 and 5 .
Explanation :Let the numbers be x and x + 1.
From the given information,
[tex]\dashrightarrow\sf \ \ \ x^2 + (x + 1)^2 = 41 \\ \\ \\ [/tex]
[tex]\dashrightarrow\sf \ \ \ 2 {x}^{2} + 2x + 1 = 41 \\ \\ \\ [/tex]
[tex]\dashrightarrow\sf \ \ \ 2 {x}^{2} + 2x + 1 - 41=0 \\ \\ \\ [/tex]
[tex]\dashrightarrow\sf \ \ \ {x}^{2} + x - 20 = 0 \\ \\ \\ [/tex]
[tex]\dashrightarrow\sf \ \ \ (x + 5)(x - 4)=0 \\ \\ \\ [/tex]
[tex]\dashrightarrow\sf \ \ \ { \underline{ \boxed{ \bf{ \red{x = - 5,4}}}}} \ \bigstar \\ \\ [/tex]
But, as we know -5 is not a natural number,
Hence, x = 4 .
So the 2 unknown numbers are :
x = 4 [1st number]x + 1 = 4 + 1 = 5 [2nd number]━━━━━━━━━━━━━━━★ Solution :
Let the number be x and x + 1.
[tex]\rule{130}1[/tex]
[tex]\underline{ \large \purple{ \mathscr{\dag\:A \bf{ccording} \: to \: \mathscr {Q} \bf{uestion} ....}}}[/tex]
[tex]:\implies\sf x^2 + (x + 1)^2 = 41 \\\\\\:\implies\sf 2x^2 + 2x + 1 - 41 = 0\\\\\\:\implies\sf 2x^2 + 2x + 40 = 0\\\\\\:\implies\sf x^2 + x - 20 = 0\\\\\\:\implies\sf x^2 + x - 20 = 0\\\\\\:\implies\sf x^2 + x - 20 = 0\\\\\\:\implies\sf x^2 + 5x - 4x - 20 = 0\\\\\\:\implies\sf x(x + 5) - 4(x + 5) = 0\\\\\\:\implies\sf (x + 5)(x - 4) = 0\\\\\\:\implies\underline{\boxed{\sf x = -5, 4}}[/tex]
⠀
We know that -5 is not a natural number. Hence, x = 4.
[tex]\therefore\:\underline{\textsf{The two consecutive natural number is \textbf{4 and 5}}}.[/tex]
8. Parallel to the line y = 2x + 5 and contains the
point (4, 5) in slope-intercept form.
Please help and show work .
Answer:
[tex]y=2x-3[/tex]
Step-by-step explanation:
So we want to find an equation in slope-intercept form that is parallel to:
[tex]y=2x+5[/tex]
And contains the point (4,5).
So to create the equation, we will need to slope and the y-intercept.
First, recall that parallel lines have the same slope. Since we want our equation to be parallel to y=2x+5, this means that the slope of the new equation must be 2.
Now, we can use the point-slope form to solve for the y-intercept. The point slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Let (4,5) be x₁ and y₁. m is 2 since it's parallel to y=2x+5. Thus:
[tex]y-5=2(x-4)\\[/tex]
Distribute:
[tex]y-5=2x-8[/tex]
Add 5 to both sides:
[tex]y=2x-3[/tex]
And that's our equation :)
what is the prefix for deci
Answer: Deci is a decimal unit prefix in the metric system denoting a factor of one tenth. Basically, it means “tenth.”
Find the values of x and y.
could you please help me with this?
Answer:
y=30, x=8
Step-by-step explanation:
right angle =90
the angle of a triangle =90-40=50 degrees
the image shows two parallel line with perpendicular line that holding angle 40 and 3y
3y=90 degrees
y=90/3=30 degrees
the sum of the angles of triangle =180
3y+5x+50=180
3(30)+5x+50=180
5x=180-90-50
5x=40
x=40/5=8
the angles are 50,90,40
Can someone please help mee :)
Solve each equation below.
у
a.) 5% + 8 = 53 b.)-bw-12=51 c.) + 12 = -2
Use only the commutative property of addition to complete the statement. 2x+15= please help asap
=======================================
The commutative property of addition is where we can add two numbers in any order we want. Example: 2+3 = 5 and 3+2 = 5.
In general, the rule is x+y = y+x.
In our case, 2x and 15 can be added in any order. So that's why 2x+15 is the same as 15+2x.
-------
Side note: a similar rule applies for multiplication as well. This is called the commutative property of multiplication. Example: 9*3 = 27 and 3*9 = 27. So we can say x*y = y*x.
Which expressions are equivalent to x + 2y + x + 2
Answer:
2x + 2y + 2
Step-by-step explanation:
Step 1: Write out expression
x + 2y + x + 2
Step 2: Combine like terms
2x + 2y + 2
Add x and x.
Combine like terms
2x + 2y + 2
solve for x : 3 ( x + 1 ) = 2 ( x - 1 )
Answer:
-5
3 ( -5 + 1 ) = 2 ( -5 - 1 ) = 0
They both equal negative 12
[tex] \sqrt{225} + \sqrt{169} [/tex]
Find:
Answer:
28
Step-by-step explanation:
√225 + √169
√225 = 15
√169 = 13
15 + 13 = 28
The answer is 28
There are approximately 2 lbs of muscle for every 5 lbs of body weight of a certain animal. For a 135 dash lb animal, how much of the weight is muscle? There are nothing lbs of muscle.
Answer:
81 lbs
Step-by-step explanation:
Find the product and simplify your answer.
-9x2(-3x5 + 5x - 5)
W
Answer:
In simplest/simplified form and in descending order, your answer would be -18x^3 + 45x^2. Hope this helps!
Step-by-step explanation:
Help please!!!!!!!!!!
Answer:
irrational
Step-by-step explanation:
if rs=2x-1 and st=4x+7 then x=
rt=60
Answer:
9
Step-by-step explanation:
GivenRS = 2x - 1ST = 4x + 7RT = 60x= ?SolutionSince S is the point on the line segment RT,
RT = RS + ST, and
60 = 2x - 1 + 4x + 760 = 6x + 610 = x + 1x = 10 - 1x = 9x
B.
A
с
D
which points are coplanar and noncollinear ?
Answer:
step by step
Step-by-step explanation:
I dont understand ?? try to re write it
In an average month, Jaden sends 200 texts and talks for 100 minutes. Give the cost for plan A and for plan B. Then tell which plan will cost Jaden the least amount of
money.
Plan A
Jaden has a prepaid phone plan (Plan A) that charges 15 cents for each text sent and 10 cents per minute for calls.
Plan B
Jaden discovers another prepaid phone plan (Plan B) that charges a flat fee of $15 per month, then $.05 per text sent or minute used.
Answer:
Plan B
Step-by-step explanation:
Let's calculate the amount required for each plan
Plan A0.15*200 + 0.10*100 = $40Plan B15 + 200*0.05 + 100*0.05 = $30As we see Plan B costs less
Given:
p: student achieves 90 percent on the geometry final.
q: student will receive a passing grade in geometry class.
Which statement is logically equivalent to q - p?
O If a student achieves 90 percent on the geometry final, then the student will pass geometry class.
O If a student passes geometry class, then the student achieved 90 percent on the geometry final.
O If a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class.
O If a student did not pass geometry class, then the student did not achieve 90 percent on the geometry final.
Answer:the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Solve for x. 4x - x + 12 = 0 *
Answer:
x = -4
Step-by-step explanation:
4x - x + 12 = 0
3x + 12 = 0
3x = -12
x = -4
Jana is ordering a list of numbers from least to greatest.
Answer:
Thee numbers would be from the least worth to greatest worth.
Answer:
D.√7=2.64. since 2.64 is greater than 0.8,√7 is greater than 5/4
q1: How can you rewrite -8 -− 10 as an additional problem? q2: Find the difference: -11 -− 5
Answer:
1. 2
2. -6
Step-by-step explanation:
I guess you tried to write -8-(-10) in the first question. Minus sign cancels out minus sign to give addition sign. So that is -8+10 which is 2.
The second question the sam thing applies -11-(-5) which is -11+5 which is -6
A line parallel to
y=5x+2
Answer:
y = 5x + 3 (or, any line with the slope equal to 5 and a different y-intercept)
Step-by-step explanation:
Parallel lines will have the same slope.
So, a line such as y = 5x + 3 will be parallel because it has the same slope as the original line, which is 5.
There are almost an infinite amount of parallel lines, it just has to have the same slope and a different y-intercept.
Lines like y = 5x + 1 and y = 5x are also parallel.
Answer:
y=5x-8
Explanation:
A line that is parallel to another has the same slope.
The difference between these is where they cross the y-axis.
Hopefully this helps, have a good dayy!! :)
Margaret used 12 gallons of gas to drive 252 miles. How many miles can
Margaret drive with 16 gallons of gas?
Find the area of the base B of the solid.
7 in
Volume= 84 π in. 2
Answer:
12
Step-by-step explanation:
v=[tex]\pi[/tex]r²h
84[tex]\pi[/tex]=
84[tex]\pi[/tex]÷7
12=r²
area of a circle is [tex]\pi[/tex]r²
so B is 12[tex]\pi[/tex]in²
The area of the base of the cylinder in the image given will be 12pi in.
How to Find the Base Area of a Cylinder?The formula for the volume of a cylinder = πr²h, where:
Base area of the cylinder (B) = πr²
(r is the radius)
The Height of the cylinder = h
The given cylinder has the following,
Height of cylinder (h) = 7 in.
Volume of cylinder = 84pi in.³
Then Substitute into the volume formula:
(πr²)7 = 84pi
(B)7 = 84pi (B = area of the base)
Divide both sides by 7;
(πr²)7/7 = 84pi /7
B = 12pi
Therefore, the area of the base of the cylinder in the image given will be 12pi in.
Learn more about the base area of cylinder on;
brainly.com/question/76387
#SPJ6
are 12/32 and 24/60 equivalent
Answer:Yes, 12/32 and 24/60 are equivalent.
Step-by-step explanation:
-4a5 [tex]-4a^{5}(6a^{5})[/tex]
Answer:
-24a^10
Step-by-step explanation:
You multiply like terms with like terms. You multiply -4 with 6, and a^5 with a^5.
If you would like more help in math or other subjects for FREE, check out growthinyouth.org.
In the past year Pablo watched 76 movies that he thought were very good he watched 80 movies over the whole year of the movies he watched what percentage did he rate as very good
Answer:
95%
Step-by-step explanation:
We convert 80 into ten or 100. In this case, we should use 10.
76/80 = 9.5/10
Then we set the denominator as 100. (because percentages have a denominator as 100)
95/100
Then it's 95%. Hope this helps.
a bee flies at 9 feet per second directly to a flower bed from its hive. the bee stays at the flower bed for 15 minutes then flies directly back to the hive at 6 feet per second. it is away from the hive for a total of 20 minutes
Answer:
Assuming the question is asking how much time it takes each way, the answer would be 2 minutes from the hive to the flowerbed and 3 minutes back.
Assuming the question is the amount of distance between the hive and the flower bed, the answer is 1080 feet.
Step-by-step explanation:
So the total amount of time it was away from the hive was 20 minutes. Out of those 20 minutes, 15 minutes were spent in the flowerbed. So that means travel time was 5 minutes. Now, going is 9 and coming back is 6, so 9+6=15, 5/15=1/3, 1/3*9=3 and 1/3*6=2
Knowing that information, lets solve what the question could be because I have no idea. The amount of distance from the hive to the flower bed is 1080 feet. I got this by doing 9 (the amount of feet per second) times 120 (the amount of seconds in 3 minutes.) You could do this with 6 but I found it easier to multiply 9*120 compared to 6*180.
If it's the commute time, we already solved that.
If I didn't answer the real question, please just comment on this.
SALES A daily newspaper had 12,125 subscribers when it began publication. Five years later it had 10,100 subscribers. What is the average yearly rate of change in the number of subscribers for the five-year period?
Answer:
The average change is 405
Step-by-step explanation:
The initially the number of subscriber = 12125
After five years the number of subscriber = 10100
Now we have to find the average change in the number of subscribers.
The average yearly change = change in subscriber/number of years.
Now insert the values in the above formula.
The average yearly change = (12125 – 10100) / 5
The average yearly change = 2025/5
The average yearly change = 405
Answer: The average change is -405
Step-by-step explanation:just did the homework
(7,-5) and (2,3)
Find the slope of the two given points
11/20 as a percentage
55%
Step-by-step explanation:
to findpercentages just divide 11/20. thenove the decimal place over 2 times
conversions LT6
You've won a new prize! Go to your game board, X
An 8-pint carton of ice cream costs $27.36. What is the price per quart?
The measure of 2A is 18° greater than the measure of 2B. The two angles are complementary. Find
the measure of each angle.
The MzA is
and mzB is
lo
Answer:
2A=54°
2B=36°
Step-by-step explanation:
2A=x+18
2B=x
x+x+18=90
2x=90=18
2x=72
x=36
2A=x+18=36+18=54
2B=x=36