Answers
=======================================================
Explanation:
Let x be the unknown positive integer.
The square roots of x are [tex]\sqrt{x}[/tex] and [tex]-\sqrt{x}[/tex], representing the positive and negative square roots respectively.
Taking the difference of those means we subtract:
[tex]\text{PositiveRoot}-\text{NegativeRoot} = \sqrt{x} - (-\sqrt{x}) = \sqrt{x}+\sqrt{x} = 2\sqrt{x}[/tex]
Set that equal to 40 and solve for x
[tex]2\sqrt{x} = 40\\\\\sqrt{x} = 40/2\\\\\sqrt{x} = 20\\\\x = 20^2\\\\x = 400[/tex]
Therefore, the integer we're after is 400.
The positive square root of such is [tex]\sqrt{x} = \sqrt{400} = \sqrt{20^2} = 20[/tex]
And the negative square root is [tex]-\sqrt{x} = -\sqrt{400} = -\sqrt{20^2} = -20[/tex]
The difference of which is:
(Positive Root) - (Negative Root) = 20-(-20) = 20+20 = 40
This helps confirm the answers.
Related Questions
List the set of all even numbers between 2 and 10, inclusive.
Answers
Answer:
2, 4, 6, 8, 10
Step-by-step explanation:
What values of x and y satisfy the system of equations
{8x+9y=−3
{6x+7y=1
Answers
B) 6x + 7y=1
We multiply A) by -(6/8)
A) -6x -6.75y = 2.25 then we add this to
equation B
B) 6x + 7y=1
25y = 3.25
y = 13
and X=-15
^ 5.0
Step-by-step explanation:
Answer:
• Let's first assign identifications to the equations given:
[tex]{ \rm{8x + 9y = {}^{ - }3 \: - - - \{equation \: (a) \} }} \\ { \rm{6x + 7y = 1 - - - \{equation \: (b) \}}} \\ [/tex]
• There are various methods to solve this system of equation, namely;
Graphical methodSubstitution methodElimination methodCalculus (Calculator synthetic method)1. Graphical method
→ You'll have to draw a graph, demacate it very well following the suitable scale.
→ Get values to plot from both equation (a) and equation (b).
→ Draw respective lines of each equation. The point of intersection of the lines is the answer of the values of x and y.
→ It'll be in coordinate format i.e; (x, y)
2. Substitution method
→ Lemme first consider equation (a)
[tex]{ \rm{8x + 9y = {}^{ - }3 }}[/tex]
• make x the subject of the equation (a):
[tex]{ \rm{8x = - 3 - 9y}} \\ \\ { \rm{x = \frac{ - 3}{8} - \frac{9}{8}y }} \: { \rm{- - - \{equation \: (c)}} \}[/tex]
→ Considering equation (b) next
[tex]{ \rm{6x + 7y = 1}}[/tex]
• substitute x in equation (b) with x in equation (c)
[tex]{ \rm{6( \frac{ - 3}{8} - \frac{9}{8}y ) + 7y = 1 }} \\ \\ { \rm{ - \frac{9}{4} - \frac{27}{4} y + 7y = 1}} \\ \\ { \rm{ \frac{1}{4} y = \frac{13}{4} }} \\ \\ { \underline{ \rm{ \: \: y = 13 \: \: }}}[/tex]
• then find x using equation (c)
[tex]{ \rm{x = \frac{ - 3}{8} - \frac{9}{8} y }} \\ \\ { \rm{x = \frac{ - 3}{8} - \frac{9}{8} (13)}} \\ \\ { \underline{ \rm{ \: \: x = - 15 \: \: }}}[/tex]
3. Elimination method:
→ Here, we have to align the equations so that if we use addition or subtraction operations we remain with one term giving us zero [ eliminated ]
→ Multiply equation (a) by 6 and multiply equation (b) by 8. In order to eliminate x
→ Then we subtract equation (a) with equation (b)
[tex]{ \underline{ \rm{ - \binom{6(8x + 9y = - 3)}{8(6x + 7y = 1)} }}} \\ { \rm{ 0x \: - 2y = - 26 }} \\ \\ { \rm{ - 2y = - 26}} \\ \\ { \underline{ \rm{ \: \: y = 13 \: \: }}}[/tex]
• find x using equation (c)
[tex]{ \rm{x = \frac{ - 3}{8} - \frac{9}{8} y}} \\ \\ { \underline{ \rm{ \: \: x = - 15 \: \: }}}[/tex]
4. Calculator synthetic method:
→ To use this method, you must have a scientific calculator.
→ If you have it, follow the steps below;
Go to mode (press it 3 times until you see "EQN" )Press 1 or any number below the "EQN". It'll display "Unknowns" with 2 and 3 below it. 2 → Two equations system. 3 → 3 equations system.According to our question, it is a two equations system, press 2It'll display a, b and c [ a is the coefficient of x, b is the coefficient of y, c is the constant]For a1 press 8 then press "equal sign", b1 press 9, then equal sign, c1 press -3 then equal sign.Follow the same procedure for a2, b2 and c2Automatically, It will display the answersAnswer: x = -15, y = 13
There are 268 lockers at Kortright Hills which are numbered from 1 to 268. All the locker doors are shut. On the first day of school, imagine that there are 268 students waiting out.
• The first student goes in and opens all the locker doors.
The second student goes in and closes every other locker door, starting with locker 2.
The third student goes in and changes every third locker, starting with locker 3 (If the do
open, it is closed. If the door is closed, it is opened.
The fourth students goes in and changes every fourth locker, starting with locker 4.
· This continues for all 268 students.
After all 268 students have entered the school, which locker doors will be open?
Answers
Answer:
289 student for the party them one mother say where you went that their mother where you want a brother se usse lion and the world I say diesel OK will die and back
All of the following are equivalent fractions except
8/40
3/15
6/30
5/20
Answers
Fill in all the missing measures. Show your work.
Answers
Answer:
B= 180-63
= 117°
E= 117°
Alternating angles are equal
Hi can someone answer this.
Answers
Answer:
hello again
Step-by-step explanation:
i think so,
hope it helped
1/x = 3/1
cross multiply
x = 3
The graph shows the distance vs. time for a runner in a road race. Drag each number to the correct descriptor.
Answers
2 running on flat ground at a medium pace
3 running faster downhill
4finished the race
(ILL MARK BRAINLIEST)+ SHOW WORK PLS Jacob bought 12 chicken wings for $18. Fill out a table of equivalent ratios and plot
the points on the coordinate axes provided.
Answers
So every chicken wing costs $1.50 each now it is easy to solve the blanks of this table .
2 $3.00
8 $12
12 $18
To make the graph put points on (2,3) (8,12) (12,18) I will try to attach pic of graph but it sometimes doesn’t attach
Factorise
x2 - 8x + 15
Answers
Answer:
[tex] {x}^{2} - 8x + 15 \\ (x - 5)(x - 3)[/tex]
I hope I helped you^_^
Answer:
(x-5) (x-3)
Step-by-step explanation:
At first find two numbers, that if you multiply, you get +15x², and the same number, if you do addition, get -8x
Those numbers are: -5x and -3x.
Now replace the -8x with the -5x and -3x. (x² - 5x - 3x + 15)
Now factorise as normal. You should get (x-5) and (x-3)
Hope I helped!
Find the area of a rectangular garden plot that measures 21 ft by 25.2 ft. Report with the correct number of significant digits.
Answers
The area of a shape is the amount of space it occupies.
The area of the garden is 529.2 square feet
The given parameters are:
Shape: Rectangle
Dimension: 21ft by 25.2ft
The area of a rectangle is:
[tex]\mathbf{Area = Length \times Width}[/tex]
So, we have:
[tex]\mathbf{Area = 21 \times 25.2}[/tex]
[tex]\mathbf{Area = 529.2}[/tex]
Hence, the area of the garden is 529.2 square feet
Read more about areas at:
https://brainly.com/question/16418397
Find the value of x? LESSON Measuring Angles and Arcs Explain your reason
Answers
Answer:
50
Step-by-step explanation:
Sum of angles in a circle is 360,
145 + 165 + x = 360
310 + x = 360
x = 360 - 310
x = 50
We can subtract 360 - 165 - 145
This will equate to 50
Therefore your answer is
50
Can someone please help
Answers
Answer:
63
Step-by-step explanation:
A median bisects the side that it is drawn to, so
DM = ME4x - 10 = 3x + 5x - 10 = 5x = 15So, FN = 4(15) + 3 = 63.
Once again, since a median bisects the side it is drawn to, NE = 63.
A local maximum of the function f(x) occurs for which x-value?
Answers
Answer:
-4
Step-by-step explanation:
the highest f(x) value on the table is at -4 on the x column
a remote control car costs $60. it is reduced to $45 in the sale. by what percentage was the price reduced
Answers
Answer:
25%
Step-by-step explanation:
Answer:
27%
Step-by-step explanation:
It was reduced by 27% because you get the 60 as 100% and 45 as 75% and you’ll get your answer.
I need help this please!
Answers
Answer:
I donot know
Step-by-step explanation:
l donot know you are question
Two cyclists start from 98 miles apart and begin racing toward each other. Three hours later, they have not yet met and the distance between them is 2 miles. How fast is each of them biking if one bikes 3 mph slower than the other?
Answers
Answer:
18 and 21
Step-by-step explanation:
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 70 ft, find its length and width.
length: ft
Х
5 ?
width:
ft
Answers
Let width be x
length=4xATQ
[tex]\\ \sf\longmapsto 2(x+4x)=70[/tex]
[tex]\\ \sf\longmapsto 5x=35[/tex]
[tex]\\ \sf\longmapsto x=7[/tex]
Width=7ftLength=7(4)=28ftStep-by-step explanation:
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 70 ft,
let the width =x
length =4width=4x
According to the question,
the perimeter of the rectangle is 70 ft
2(length+width)=perimeter 2(4x+x)=702(5x)=7010x=70x=70/10x=7Therefore:-
width =x=7ft
length =4x=4×7=28ft
Find which is the better buy (lower
cost per ounce) by finding each unit
price. Round to two decimal places if
necessary
Shampoo:
A. $7.99 for 29.2oz
B. $5.99 for 13.5oz
Answers
Answer:
B
Step-by-step explanation:
1) Divide the oz per shampoo bottle by the cost
2) which answer is lower
29.2÷7.99=3.65
13.5÷5.99=2.25
What is 3n^2 + 12n - 11 = 0
Answers
Answer:
n= plus or minus (+-) square root 69/ 3 -2
Step-by-step explanation:
Answer:
n = -2[+/-] (2 [tex]\sqrt{69}[/tex])/3
Step-by-step explanation:
in other words, the answer is
n=0.768875
and
n = -4.76887
Sarah has $30 and needs to buy some Halloween candy. Each bag of candy costs $5. the amount of money sarah has after purchasing x number of bags of candy can be represented by the function f(x)=30-5x. find the x intercept and the y intercept
Answers
Answer:
x means 10 sooooo
Step-by-step explanation:
hope it helps
How many you know that the expression is a perfect square trinomial pa help please
Answers
Multiply the roots of the first and third terms together. Compare to the middle terms with the result in step two. If the first and last terms are perfect squares, and the middle term's coefficient is twice the product of the square roots of the first and last terms, then the expression is a perfect square trinomial.
for a poetry contest the minimum length of a poem is 16 lines. The maximum length is 32 lines. Write an absolute value equation that represents the minimum and maximum lengths
Answers
Answer:
lx-24l ≤ 8
Step-by-step explanation:
lx-24l ≤ 8
x ≤ 8 + 24
x ≤ 32
-----------------
-x + 24 ≤ 8
24 - 8 ≤ x
16 ≤ x
The absolute value equation that represents the minimum and maximum lengths is 8 = |x - 24|.
What is absolute value?Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.
For example, |5| is 5 because it is 5 units away from 0. Also, |-5| is also 5 because -5 is 5 units from 0.
We have been given that for a poetry contest the minimum length of a poem is 16 lines. The maximum length is 32 lines.
To determine the absolute value equation that represents the minimum and maximum lengths.
First, we need to find the difference between both solutions.
⇒ 32 - 16 = 16
Then, divide it by 2.
⇒ 16/2 = 8
⇒ 8 = |x - 32 + 8|
we could also write: 8 = |x - 32 + 8|
⇒ 8 = |x - 24|
Therefore, the absolute value equation that represents the minimum and maximum lengths is 8 = |x - 24|.
Learn more about the absolute value here:
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which pair of lines are parraell?
a.) x-5y = 10; y=5x-2
b.) x+y = 0; y=x+7
c.) 2x-3y=9; 4y =6x-20
d.) 4x-8y=8; y=2x+2
e.) 9x-3y=12; y=3x-10
Answers
Answer:
A.
Step-by-step explanation:
carry on learning.. and start reading your modules so u can learn <3
brainliest and follow please
3.68 divided by 0.001=?
Answers
Answer:
the answer is 3,680
Step-by-step explanation:
What number is 12 more than 1/3 of itself?
Answers
Answer:
18
Step-by-step explanation:
Let the number be x.
1/3 of itself is 1/3 x or x/3.
x = x/3 + 12
3x/3 - x/3 = 12
2x/3 = 12
3/2 * 2x/3 = 3/2 * 12
x = 18
Answer: 18
The equation is formed as x - x/3 = 12. Then the solution of the equation will be 18.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The number is 12 more than 1/3 of itself.
Let the number be 'x'. Then the equation is written as,
x = x/3 + 12
Simplify the equation, then the value of 'x' will be calculated as,
x - x/3 = 12
3x - x = 36
2x = 36
x = 36/2
x = 18
The equation is formed as x - x/3 = 12. Then the solution of the equation will be 18.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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Determine the range of the following graph:
Answers
Answer:
The range of x is -5 to +3
Step-by-step explanation:
Answer:
range means the value the x produces.
The range is -8 to zero.
Happy Learning
Hi!!!!! please anyone Can help this solve?
Answers
Answer:
The answer is 70%
Hope it helps <333
Step-by-step explanation:
What is an equivalent ratio of 5:9
Answers
Step-by-step explanation:
There is infinitely many ratios which are equivalent to 5:9. As we know always we can write divide as fraction, so . We can multiply nominator and denominator by the any number (but the same) and get another numbers but ratio will be the same, so equivalent.
For example
10:18,
15:27
Hope this helps.
Answer:
10:18
Step-by-step explanation:
Anything really just times both sides by the same number.
For example to get to 10:18 I multiplied both sides of 5:9 by 2.
If you were to multiply 5:9 by 3 (which would 15: 27) it would still be an equivalent to 5:9.
100 POINTS ON THE LINE PLEASE HELP!!! ITS DUE TODAY AND I WILL GIVE BRAINLIEST. NO LINKS OR I WILL BE SAD
The graph for Airplane A shows the speed at which it travels as a function of time. The graph for Airplane B shows the distance it travels as a function of time.
Use the drop-down menus to complete the statements below about the two airplanes.
PART A: Describe the speed for each airplane from 0 to t1.
Airplane A travels at a speed that is (increasing, decreasing, 0, constant, but not 0).
Airplane B travels at a speed that is (increasing, decreasing, 0, constant, but not 0).
Part B: Describe the speed for each airplane from t1 to t2.
Airplane A travels at a speed that is (increasing, decreasing, 0, constant, but not 0).
Airplane B travels at a speed that is (increasing, decreasing, 0, constant, but not 0).
Answers
Answer:
from 0 to t1
Airplane A travels at a speed that is increasing.
Airplane B travels at a speed that is constant but not 0.
from t1 to t2
Airplane A travels at a speed that is constant, but not 0
Airplane B travels at a speed that is 0.
The airplane A is travelling at a faster and faster rate from 0 to t₁, and airplane B moves at a steady but not zero speed from 0 to t₁
What is a line graph?A line graph is a graph made up of segments of straight lines that connect the depicted data points.
We have a graph for Airplane A shows the speed at which it travels as a function of time. The graph for Airplane B shows the distance it travels as a function of time.
From the graph A and B
From 0 to [tex]\rm t_1[/tex]
Airplane A is travelling at a faster and faster rate.
Airplane B moves at a steady but not zero speed.
From [tex]\rm t_1[/tex] to [tex]\rm t_2[/tex]
Airplane A moves at a constant speed, but not at zero.
Airplane B is travelling at a speed of 0.
Thus, the airplane A is travelling at a faster and faster rate from 0 to t₁, and airplane B moves at a steady but not zero speed from 0 to t₁
Learn more about the line chart here:
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Five less than twice a number 581
Answers
Answer:
Step-by-step explanation:
Bro i dont know