Answers
Answer:
x = n - m
Step-by-step explanation:
To solve for x we have to isolate it.
[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] = [tex]n^{2}[/tex]
First, let's subtract [tex]m^{2}[/tex] from both sides of the equation:
[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] - [tex]m^{2}[/tex] = [tex]n^{2}[/tex] - [tex]m^{2}[/tex]
Now the equation looks like this: [tex]x^{2} \\[/tex] = [tex]n^{2}[/tex] - [tex]m^{2}[/tex]
Now we have apply a square root to both sides to remove the exponent from the x: [tex]\sqrt{x^2}[/tex] = [tex]\sqrt{n^2 - m^2}[/tex]
The square root and the exponents cancel out on both sides and you're left with: x = n - m
To solve for x the equation is: x = n - m
I hope this helps! :)
Related Questions
prove that 1/log (xy)² +1/log(xy²) + log(xy³) =1 there base are x,y and z respectively.
Answers
Answer:
[tex]1/log (xy)² +1/log(xy²) + log(xy³) =1[/tex]
Step-by-step explanation:
This is your equation, right? Just checking
What are the solutions to the equation 3x2 + 10x = 8
Answers
Answer:
(3x-2)(X+4)
X=2/3,-4
Step-by-step explanation:
3x^2 + 10x = 8
3x^2+12x-2x-8=0
3x(X+4)-2(X+4)=0
(3x-2)(X+4)=0
X=2/3,-4
So the solution is 2/3,-4
Bob paid $5.60 for 0.8 lb of fresh peaches.
How much would 3.25 lb of peaches cost?
Answers
Answer:
22.75
Step-by-step explanation:
5.6 divided by 0.8=Constant Variation=7
3.25*7=22.75
The price of the 3.25 lb peaches is $22.75.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Bob paid $5.60 for 0.8 lb of fresh peaches. The price of the 3.25 lb peaches will be calculated as,
0.8 lb of peaches ⇒ $5.60
1 lb of peach ⇒ $5.60 / 0.8
3.25 lb of peaches ⇒ (3.25 x $5.60 ) / 0.8
3.25 lb of peaches ⇒ $22.75
Therefore, the price of the 3.25 lb peaches is $22.75.
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Which expression represents the phrase below?
The product of 15 and the quantity 12 less than a number.
a. (15 x 12) - a
b. 15(a - 12)
c. 15+ (12-a)
d. 12a * 15
Answers
Answer:
Answer C
Step-by-step explanation:
the product of 15 and the quantity 12 less than a number
A bicycle is traveling at 21 miles per hour. How many feet will it cover in 35 second?
Answers
The cash price of a laptop is $1299. It can be bought at hire purchase by making a deposit of $350 and 10 monthly payments at $120 each.
(i) What is the TOTAL hire purchase
(ii) How much is saved by buying the laptop for cash
Answers
(ii) 1550 - 1299 = save $251
I) The TOTAL hire purchase of the laptop is; $1550
II) The amount saved by buying the laptop for cash is; $251
I) We are told that the laptop can be bought at hire purchase by making a deposit of $350 and 10 monthly payments at $120 each.
Thus;
Cost of laptop by hire purchase = 350 + 120(10)
>> 350 + 1200
>> $1550
II) Since the cash price is $1299, then amount saved = 1550 - 1299
>> $251
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The ratio x : y is equal to 2 : 5, and y is 80% of z. Write an equation to represent the proportional relationship between x and z.
Answers
Answer:
x : z = 8 : 25Step-by-step explanation:
Given
x : y = 2 : 5, y is 80% of zRearranging the ratios:
x/y = 2/5 ⇒ x/y = 0.4 ⇒ y = x/0.4 ⇒ y = 2.5xy is 80% of z ⇒ y = 0.8zComparing the values of y:
2.5x = 0.8zx/z = 0.8/2.5x/z = 0.32x/z = 32/100 x/z = 8/25x : z = 8 : 25Question 8 » Our galaxy, the Milky Way, has a diameter of about 1* 1021 meters. The largest galaxy known to man, the IC 1101, has a diameter of 5 * 1022 meters. The diameter of the IC 1101 is about how many times greater than the diameter of the Milky Way? Milky Way: 1x 1021 m IC 1101: 5 x 1022 m 5 50 5,000 500
Answers
Answer:
the Milky Way, has a diameter of about 1x10^21 meters. the largest galaxy known to man, the ic 1101, has a diameter of 5x10^22 meters.
Step-by-step explanation:
Tarea resuelta de matemática semana 32 3ro de secundaria.
Answers
Answer:
Solved math homework week 32 3rd of secondary school.
Felicidades
Step-by-step explanation:
At least I tried!.....#DareCompleted
Answers
Answer:
Very nice Drawing. Your try is so nice
3{[3(9 – 2)] + [7(8 – 1)]}
Answers
(5 marks)
b) Anthony plans to take up business and purchase a shop lot near his home. He saves
RM10,000 in an account that pays 6% compounded every four months. Four years
later, he withdrew all his money to pay for the down payment of the shop lot.
D)
Find the value of the down payment.
(3 marks)
Answers
I thought this right but sorry if it is wrong
first make the 6% in amount by 6×10,000÷100=3600
then, the convert 4 year into month by (4×12)=48month. after that divide 48months by 4 month.i.e.48÷4=12.at last multiply 12 by 3600.i.e. 12×3600=43200
DUE BY 3:30
For the following figure , the value of x is
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]x = 8 \: \: in[/tex]
[tex]y = 8 \sqrt{2} \: \: \: in[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
There are 4680 gym members in total. 3 8 are aged 25 - 59 years, 2 5 are over 60 years and the remainder are under 25 years.
Answers
1053 members under 25 years.
Step-by-step explanation:
We have been given the total number of students: 4680
That means in 25-59 there will be:
And
That means over 60 years will be:
That means from total 1755+1872=3627
That means 4680-3627=1053 are remaining
And hence, 1053 members are under 25 years.
A swimming pool has two pipes coming into it to fill it with water. One pipe takes 16 hours to fill it. The other takes 12 hours to fill it. How many hours will it take both pipes to fill the pool?
Answers
Answer:
8 hours
Step-by-step explanation:
8 hours because half of 16 is 8 and half of 12 is 6
If it takes 6 hours to fill one half then the other 2 hours would go to the other pipe making it 8 hours
Shelley has a 1 1/2 pound supply of Cat Treats. Each day she gives her kitten 1/8 pound of the treats. How many days will the supply of treats last
Answers
Answer:
The treats will last 12 days.
I WILL GIVE BRAINLIEST PLEASE HELP
Answers
Answer:
15/19
Step-by-step explanation:
60/4 = 15
76/4 = 19
15/19
Answer:
76/60 i think
Step-by-step explanation:
I need help on my math work.
Answers
Answer:
i believe it is the suburban apartment
Step-by-step explanation:
i believe this because if the area calculation. the sides are more the other.
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66+36 his work is shown below. Which statement best describes Gary's error?
A) Gary did not use correct factors for 66 in the equation
B) Gary did not use correct factors for 36 in the equation
C) Gary did not use two equivalent expressions in the equation.
D) Gary did not use the greatest common factor in the equation.
Answers
Answer:
A
Step-by-step explanation:
A because 1, 2, 3, 4, 6, 11, 22, 33, 66
What is the solution for y=2x+3, y=2x-3
Answers
Answer:.
Step-by-step explanation:
Complete the table by finding the balance A when P dollars is invested at rate r for t years and compounded n times per year. (Round your answers to the nearest cent.)
P = $2500, r = 3%, t = 10 years
n A
1 $
2 $
4 $
12 $
365 $
Continuous $
Answers
Answer:
I had this exact question on my test yesterday! That's so crazy!
Step-by-step explanation:
True or false
If a prime number is greater than 2, it is odd
Answers
Answer:
true
Step-by-step explanation:
if a prime number were even, and greater than 2, they would be able to be divisible by 2 and therefore not a prime number
Answer:true
Step-by-step explanation:
A prime number is a number that can only be multiplied by 1 to get itself, an even number is a number that can be multiplied by 2. Thus it is true.
A patio 44, feet wide is being constructed next to a house. To drain water off the patio and away from the house, a slope of 1/2 inch per foot is necessary. What total
difference in height is required from one edge of the patio to the other?
Answers
Answer:
the total difference in height will be 22 inches
Step-by-step explanation:
since the slope is 0.5 inch per foot, and the patio is 44 feet wide, the end of the patio will be 0.5 x 44 = 22 inches lower
the slope measures how much the height (Y axis) will change as the length (X axis) increases by 1 unit. In this case, since the height decreases as the length increases the slope is negative.
Write the slope- intercept form of the equation of the line described through (4,5) parallel to y= 1/4x-4
Answers
Answer:
y = 1/4 x + 4
Step-by-step explanation:
1. Because the new equation is parallel to y= 1/4x - 4 => the slope is still the same => New equation : y = 1/4x + b ( b is a number that we'll find now)
2. Put x = 4 and y = 5 in the new equation
=> 5 = (1/4)(4) + b
=> b = 4
3. So then we'll have the new equation that is parallel to y = 1/4x-4
Use counters or a number line to find the sum.
-4 + (-6)
Answers
Answer:
the answer is -10
Step-by-step explanation:
What is the slope of the line?answer
Answers
Answer: -1/2
Step-by-step explanation:
Answer:
The slope is -1/2
Step-by-step explanation:
Go down then over to find the negative slope
rise/run or fall/run
Go down from the "pretty point" or perfect point and the over.
Four puzzles that were manufactured contained a total of 420 pieces. The next 6 puzzles contained a total of 630 pieces. If the relationship between the number of puzzles and the total number of puzzle pieces continues to be proportional, which could be the missing entries in the table?
Number of Puzzles
(x)
Number of Pieces
(y)
4
420
6
630
8 puzzles and 800 pieces
8 puzzles and 840 pieces
10 puzzles and 1,000 pieces
10 puzzles and 1,200 pieces
Answers
Answer:
ANWSER A
Step-by-step explanation:
Answer:
Answers A
Step-by-step explanation:
Just took the test
what is 4 divided by 0.576
Answers
Hope this helped.
4 divided by 0.576 is approximately equal to 6.9444.
To find the result of 4 divided by 0.576, we can perform the division by dividing the numerator ( 4 ) by the denominator ( 0.576 ).
When we divide 4 by 0.576, we get approximately 6.9444.
Therefore, 4 divided by 0.576 is approximately equal to 6.9444.
In decimal form, this indicates that 4 can be divided into 0.576 approximately 6.9444 times. The result is a decimal number that extends to multiple decimal places. To obtain a more precise or exact answer, additional decimal places may need to be considered in the calculation.
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1) Fairview and Abbots Rise are 5 in apart on a map that has a scale of 1 in : 18 mi. How far apart are the real cities? 2) A particular satellite is 12 ft wide. A model of it was built with a scale of 1 in :3 ft. How wide is the model? Please help me I have 4 more questoins
Answers
Answer:
1) 90 mi
2) 4 inch
Step-by-step explanation:
1)
Given that the distance between Fairview and Abbots Rise on the map = 5 in
Scale of the map = 1 in: 18 mi
i.e. 1 inch on map is equivalent to an actual distance equal to 18 mi between the cities.
Given that the map has a distance of 5 inches.
Therefore, the actual distance between the cities = 5 [tex]\times[/tex] 18 = 90 mi
2) A particular satellite is 12 ft wide.
Model's scale = 1 in : 3 ft
i.e. 1 inch on map is equivalent to actual distance of 3 ft.
OR
3 ft of actual distance = 1 in on map
1 ft of actual distance = [tex]\frac{1}{3}[/tex] in on map
12 ft of actual distance = [tex]\frac{1}{3}\times 12 = \bold{4\ inch}[/tex]
With the equation 3x - 5 = x + 3,
Answers
Answer:
x = 4 :)
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
3x - 5 = x + 3
add 5 to both sides
3x = x + 8
subtract x from both sides
2x = 8
divide both sides by 2
x = 4