[tex](a+b)^2 =a^2 +b^2 + 2ab = 54~~~.....(i)\\\\(a-b)^2 = a^2 +b^2 -2ab = 46~~~.....(i)\\\\\\(i)+(ii):\\\\(a+b)^2 +(a-b)^2 = 54+46\\\\\implies a^2 +b^2 + 2ab + a^2 +b^2 - 2ab =100\\\\\implies 2a^2 +2b^2 =100\\\\ \\\implies 2(a^2 +b^2) =100\\\\\implies a^2 +b^2 = \dfrac{100}2 = 50[/tex]
pls help meee
6.) in a repeating musical pattern, there are 56 beats in 7 measures. How many measures are there in 104 beats?
Answer:
23 measure
Step-by-step explanation:
because 56/7 = 8
so 104/8=23
Answer:
13 measures
Step-by-step explanation:
for every 7 measures, there is 56 beats. and if you want to find out how many beats there are per measure, you would do 56 ÷ 7 = 8.
Now that you've found thay there are 8 beats per measure, you would divide 104 by 8 to find out how many measurs there are.
104 ÷ 8 = 13
what rounds up to 5,620 to the nearest ten
5,610
Step by step explanation:When rounding to the nearest ten, like we did with 5620 above, we use the following rules:
We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.Answer: 5620
~~Step-by-step explanation~~
Rounding has a simple rule. 5 or above? Up you shove. 4 or below? Keep it low.
1. What are you using to round?
5620 : The tens place is the number we are either going to be rounding up or keeping. In this case, it is the 2 in 5620.5620 : When rounding to the nearest ten, you look at the ones section. In this case, it is the 0 in 5620.2. Execution
When rounding up to tens, look at the ones value. If the number is 5 or above, round the tens place up a number. (ex. 5625 --> 5630) If the number is a 4 or below, keep the tens value the same. (ex. 5624 --> 5620)Since the ones place in 5620 is below a four, we are going to keep the tens value the same, so the answer is going to be 5620.
HELP PLSSSS ILL GIVE 5 STARS JUST ANSWER
Answer:
-1 (color bow red)
Step-by-step explanation:
first plug x=7
-12/2(7) - 2
-12/14-2
-12/12
-1
Add the equations.3x-y=-5
7x+y=15
Step-by-step explanation:
it is like a regular addition of numbers. you add the different positions.
3x + 7x = 10x
-y + y = 0
-5 + 15 = 10
so, D. is the right answer : 10x = 10
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = z2 to the
number of z-intercepts in the graph of g(x) = -22 – 5. Be sure to include the transformations that
occurred between the parent function f(x) and its image g(x).
Answer:
There is only one x-intercept for f(x) and g(x), f(x) having a minimum value of zero and g(x) having a maximum value of zero. f(x)=0 when x=0, g(x)=0 when x=4.
g(x) is f(x) reflected about the about the x-axis and shifted to the right by 4 units.
Mark breaks up a 9-hour drive into 3 parts. He drives 2 1/2 hours before stopping for lunch. After driving some more, he stops for gas. If the second part of his drive was 1 2/3 longer than the first part, how long did he drive after stopping for gas?
Answer:
4 1/6 hours
Step-by-step explanation:
2 1/2 + 1 2/3 = 25/6 = 4 1/6
The sum of 7/8 of a number and 20 is 34 at minimum
Answer:
7/8x ≥ 14
Step-by-step explanation:
(sum means addition in case you forgot)
You would start by writing 7/8x + 20 ≥ 34
You would then subtract 20 from both sides to isolate the variable x.
You would then have 7/8x ≥ 14
!PLS HELP ASAP 30 POINTS !Determine the seating of an auditorium with 35 row of seats if there are 10 seats in the first row, 13 seats in the second row, 16 seats in the third row, 19 seats in the forth, and so on. What is the total number of seats?
Answer: 2135
step by step explanation:
I don't really think this is necessary
Rewrite in simplest terms: (4x + 4) - (-4x - 9)
Answer:
Submit Answer
Answer:
8x+13
Step-by-step explanation:
do you need this part?
Given that the points (-32, - 10) and (-74, 11) lie on a line, what is the
equation of the line?
The equation of the line is:
[tex]y=\frac{-1}{2}x-26[/tex]
The point-slope equation of a line is given as:
[tex]y-y_1=m(x-x_1)[/tex]
where m represents the slope, and is calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For the line passing through the points (-32, - 10) and (-74, 11)
[tex]x_1=-32, y_1=-10, x_2=-74, y_2=11[/tex]
Substitute these points into the slope formula to get the slope of the line
[tex]m=\frac{11-(-10)}{-74-(-32)} \\\\m=\frac{11+10}{-74+32} \\\\m=\frac{21}{-42} \\\\m=\frac{-1}{2}[/tex]
Substitute [tex]m=\frac{-1}{2}, x_1=-32, y_1=-10[/tex] into the line equation
[tex]y-(-10)=\frac{-1}{2}(x-(-32))\\\\y+10=\frac{-1}{2}x-16\\\\y= \frac{-1}{2}x-16-10\\\\y=\frac{-1}{2}x-26[/tex]
The equation of the line is:
[tex]y=\frac{-1}{2}x-26[/tex]
Learn more on equation of a line here: https://brainly.com/question/13763238
Solve for x: 2x + 12= 18 (5 points)
Answer:
X = 3
Step-by-step explanation:
2x = 12 = 18
x +6 = 9
x = 9-6
x = 3
Hope its right <3 Like if it helped
Convert 8 fluid ounces into milliliters. Round your answer to the nearest whole number.
Answer:
236.588 milliliters so the answer is 240
Step-by-step explanation:
for an approximate result, multiply the volume value by 29.574
The chart below shows the number of tickets to the annual teachers VS.
students basketball game. What was the most number of tickets sold?
A. 12
B. 31
C. 40
D. 60
The most no. of tickets sold is 60.
What is bar graph?The pictorial representation of data in the form of vertical or horizontal rectangular bars, whose length is proportional to the data's measurement, is known as a bar graph. Data are typically grouped in this way. Bar charts are another name for them. In statistics, bar graphs are one way to handle data.
Given the graph between total student and number of ticket sold,
where students shown in Y axis and tickets sold in X axis,
as Shown in graph maximum number of tickets sold are 51 to 60
Hence the maximum number of ticket sold is 60.
Learn more about bar graph;
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HELP ME ASAP!!!
Question 3(Multiple Choice Worth 5 points)
(04.04 MC)
If a sprinkler waters 1 over 15 of a lawn in 1 over 3 hour, how much time will it take to water the entire lawn?
5 hours
15 hours
18 hours
45 hours
It would take 5 hours.
1/15 of the lawn in 1/3 hours means it takes 1 hour to water 3/15 of the lawn aka 1/5
1/5 of the lawn in 1 hour would mean it takes 5 hours to finish watering the entire lawn.
Joshua wanted to know the distance between two cities. The scale on the map was 1/2 in = 10 km. The distance between the cities on the map was 2 1/4 in. What was the actual distance between the cities?
Step-by-step explanation:
remark : it is very unusual for a map to mix two measurement norms. they are normally either fully in the American or fully in the metric system.
but let's do the exercise.
the scale says 1/2 in = 10 km
but our measurement on the map brought us quarter inches.
so,
1/2 in = 2/4 in = 10 km
therefore
1/4 in = 10/2 = 5 km
now,
2 1/4 = 9/4 in
this is 9 times 1/4.
therefore, the distance between the 2 cities is
9 × 5 = 45 km.
Evaluate the expression
“-8.56x + 31.7 for x= 75.6”
A. -615.436
B. 614.436
C. 615.436
D. -614.436
Answer:
Substitute
Step-by-step explanation:
x=75.6
-8.56(75.6) + 31.7=-615.436
Answer: -615.436
Gino had 89€.
He used one
quarter to buy
a gumball. How
much money does
Gino have left?
Answer: 64€
Step-by-step explanation:
89 - 25 = 64
Can i have brainliest
Answer:
64 cents
Step-by-step explanation:
Assuming the 'c' symbol represents an American currency symbol
Pre college need help with
Answer:
check online for more information
33. Jeremy works at a bank and earns $800 for a 40-hour week. His sister, Beth works at a school and only earns $700 for a 30-hour week. Who makes more per hour?
A. Jeremy makes $10 more per hour
B. Beth makes $10 less per hour
C. Beth makes at least $3 more per hour
D. Jeremy makes at least $5 more per hour
Answer:
Step-by-step explanation:
Jeremy
Pay = 800
Time = 40 hours
Per hour pay= 800/40 = 20 dollars per hour.
Beth
Pay = 700
Time = 30 hours
Per hour Pay= 700 / 30 = 23.33
The answer is C. She gets 23.33 which is 3.33 more than her brother makes.
How do I figure this out
Answer:
D
Step-by-step explanation:
yeah-ya....................... right?
Answer:
D
Step-by-step explanation:
hope it help correct me if wrong
07
Question 4
What is the 11th term of the geometric sequence
-1.5, -3, -6, -12, ...? /(5 pts)
Your Answer:
Answer:
-1536
Step-by-step explanation:
By taking the general formula for the geometric sequence, we substitute the variables with the values of our sequence, finding -1536 as the 11th term
if Jenny buys 2 8-inch di|dos for 8$ then what is the total price
Answer:
$16
Step-by-step explanation 2 x 8 to 8 + 8 =16
Find the area of the shape shown below.
2 2 2 2 6
Answer:
12 units squared
Step-by-step explanation:
This requires a 3-step solution.
1. The triangle on the left:
To get an area for a triangle, you do: base times height divided by 2.
You get 4/2, which is 2 units squared for the first triangle.
2. The square:
Pretty easy, it is 2 x 2 which is 4.
3. The last triangle:
Same thing as the first triangle, 2 x 6 divided by 2.
You get 12/2 which is 6.
To get the final area: You add them up.
2 + 4 + 6, which is 12.
Solve the following equation for d:cd – 8 = f
Answer: Well my friend, there is not enough info to sole the equation..
Step-by-step explanation:
In Exercises 12-20, TA=AB=BC and TD= DE = EF
Write an Equation that relates AD and BE.
Based on the midsegment theorem of a triangle, the equation that relates AD and BE is: AD = ½(BE)
Recall:
The midsegment theorem of a triangle states that length of midsegment = ½(the third side of the triangle).Given the image attached below, where, TA=AB=BC and TD= DE = EF, considering ΔTBE:
AD = midsegment of ΔTBEBE = third side of ΔTBETherefore, based on the midsegment theorem of a triangle, the equation that relates AD and BE is: AD = ½(BE)
Learn more about the midsegment theorem of a triangle on:
https://brainly.com/question/7423948
Ax+2y=10 through the point (4,3)
Answer:
can you give more context to the question and I will answer it in the comments? thanks!
Answer:
Slope-intercept form y=10x-37
Point slope form y-3=10(x-4)
Step-by-step explanation:
PLEASE HELP ME!! I NEED HELP WITH THIS
Answer: It is answer C.
Step-by-step explanation: Because of the location and angle of the line, it intersects at 9 on the y axis and 1 on the x, therefore giving you 9 over 1
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 8 liters of natural oil for every 5 liters of synthetic oil.
In order to make 1196 liters of Petrolyn oil, how many liters of natural oil are needed?
Answer:
it would need 40 liters of natural oil
8x5=40
A particle moves along the x-axis so that at time t ≥ 0 its position is given by x(t) = 2t3 - 21t2 + 72t - 53. At what time t is the particle at rest?
Step-by-step explanation:
The particle is at rest when the derivative of x(t), which is its velocity, is zero, i.e.,
[tex]\dfrac{d}{dt}[x(t)] = \dot{x}(t) = 0[/tex]
Since [tex]x(t) = 2t^3 - 21t^2 + 72t - 53,[/tex] its derivative is
[tex]\dot{x}(t) = 6t^2 - 42t + 72[/tex]
Equating this to zero, we get
[tex]6t^2 - 42t + 72 = 0 \Rightarrow t^2 - 7t + 12 = 0[/tex]
This is a familiar quadratic equation whose roots are
[tex]t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]\;\;\;= \dfrac{7 \pm \sqrt{(7)^2 - 4(1)(12)}}{2}[/tex]
[tex]\;\;\;= \dfrac{7 \pm 1}{2}[/tex]
[tex]\;\;\;= 3\;\text{and}\;4[/tex]
This means that the particle will be at rest at t = 3 and t= 4.
A traffic study determined that a larger city population indicates a
longer commute time for drivers. What can we say from this
information?
Answer:
There must he a circulation. May not be causation.