Answers
Answer:
[tex]2\sqrt{2x}[/tex] or [tex]8x^2[/tex]
Step-by-step explanation:
first you find the distance between P and O which is 4n (use the distance formula -- [tex]\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)}[/tex])
then find the distance between O and Q also using the distance formula; it gives you 4n
then find the hypotunuse by using the pythagorean theorem, [tex]a^2+b^2=c^2[/tex] which would be [tex]4n^2+4n^2=hypotenuse[/tex] and when you simplify it, you get [tex]8x^2[/tex] and if you need it in radical form, it would be [tex]2\sqrt{2x}[/tex]
Answer:
[tex]Hypotenuse = 4n \sqrt{2} [/tex]
Step-by-step explanation:
Catethus1=4n
Catethus2=4n
Hypotenuse=?
[tex]Hypotenuse= \sqrt{{(catethus1)}^{2} + {(catethus2)}^{2}} \: = \sqrt{{(4n)}^{2} + {(4n)}^{2}} \: = 4n \sqrt{2} [/tex]
Related Questions
y varies inversely as the square of x
y=1.5 when x=8
Find y when x=5
Answers
Answer:
3.84
Step-by-step explanation:
Given that , y varies inversely as the square of x . Mathematically we can write this statement as ,
[tex]\implies\rm y \propto \dfrac{1}{x^2}[/tex]
Let k be the constant . Therefore ,
[tex]\implies\rm y = k \dfrac{1}{x^2}[/tex]
When y = 1.5 and x = 8 :-
Plug in the respective values ,[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm 1.5 = k \times \dfrac{1}{8^2} \\\\\implies\rm k = 1.5 \times 64 \\\\\implies\rm k = 96[/tex]
When x = 5 :-
[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm y = 96 \times \dfrac{1}{5^2}=\dfrac{ 96}{25} \\\\\implies\rm\boxed{ y = 3.84 }[/tex]
Answer: 3.84
hope it helped!
Please help will give brainliest
Answers
Answer:
B) 28 inches.
Step-by-step explanation:
After 1/8 of a ribbon is thrown away, the remaining part is cut into two pieces whose lengths are in the ratio 4 : 5.
And we want to find the length of the shorter ribbon from the two remaining pieces.
We are given that 9 inches of the original ribbon was thrown away. Since this is 1/8 of the total length, we can write that:
[tex]\displaystyle \frac{1}{8}L=9[/tex]
Where L represents the total length of the ribbon.
Solve for the total length:
[tex]\displaystyle L=72\text{ inches}[/tex]
So, the original length of the ribbon was 72 inches.
Since we threw away 9 inches of it, we now only have 63 inches.
This is then cut into two pieces in a ratio of 4 : 5. Let x represent the constant. Thus:
[tex](4x)+(5x)=63[/tex]
Solve for x:
[tex]9x=63\Rightarrow x=7[/tex]
Hence, the two remaining ribbons measure 28 inches and 35 inches.
Therefore, our answer is B.
HELPPPPP PLEASE
(04.02 MC)
What is the solution to the following system of equations?
4x + 2y = 6
x - y = 3
(2, 1)
(-2, -1)
(2, 4)
(2, -1)
Answers
======================================================
Explanation:
Double everything in the second equation to go from x-y = 3 to 2x-2y = 6.
So we have this equivalent system of equations
[tex]\begin{cases}4x+2y = 6\\2x-2y=6\end{cases}[/tex]
We can then add straight down. The x terms add to 6x. The y terms go away because they add to 0. The stuff on the right hand sides add to 12.
After those three sets of addition operations, we have the new equation 6x = 12 which solves to x = 2 after dividing both sides by 6.
Now use x = 2 with any of the equations mentioned that have x,y involved so we can solve for y.
4x+2y = 6
4(2)+2y = 6
8+2y = 6
2y = 6-8
2y = -2
y = -2/2
y = -1
or we could say
x-y = 3
2-y = 3
-y = 3-2
-y = 1
y = -1
Either way, we get the same y value.
Since x = 2 and y = -1 pair up together, we get the ordered pair solution (x,y) = (2, -1). Therefore, the answer is choice D.
If you were to graph the two equations, as shown below, the two lines intersect at (2,-1). This point is on both lines at the same time. This is visual confirmation that the point is a solution to both equations. Though you should still algebraically check each original equation.
If 3x - 6y = 8, then x - 2y =
Answers
Answer:
8/3 or 2.6666
Step-by-step explanation:
You have divided the first equation by 3 -- all except the 8. So you must divide the 8 by 3 giving you 8/3 which is 2 2/3 or 2.66666
Answer (x - 2y) = 8/3
x-2y=8/3 is the required expression.
3x - 6y = 8
x - 2y =?
What is equation?
equation is the interlink between variable and represented as y=mx+c
3x - 6y = 8
taking 3 common from above equation.
3(x-2y) = 8
x-2y = 8/3
Thus the required expression is x-2y = 8/3
Learn more about equation here:
brainly.com/question/10413253
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Which of the following expressions are equivalent to -\dfrac{2}{-13}−
−13
2
minus, start fraction, 2, divided by, minus, 13, end fraction?
Answers
Answer:
Step-by-step explanation:
We are given:
2
- ----------
-13
Since a negative number (-2) divided by another negative number results in a positive number,
2
----------
13
Both Answers A and B are correct; the final value in each case is +2/13.
The equivalent expression will be (-2)/(-13) and-(-2/13) so option (A) and option (B) both will be correct.
What is numerator and denominator?In such a fraction, the value that appears above the horizontal line is referred to as the numerator. It represents the number of pieces removed from the whole.
The denominator of a fraction is the numerical value that comes before the brings together various.
If we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator. For example a fraction 1/5 here 1 will be the numerator and 5 will be denominated.
Given that[tex]-\dfrac{2}{-13}[/tex] now since the multiplication of - and - quantity is always positive so - and - is positive so it will be 2/13
If you take both options A and B in both options the negative sign going to cancel and it will give a positive value.
Hence "The equivalent expression will be (-2)/(-13) and-(-2/13)".
For more about numerators and denominators https://brainly.com/question/19613319
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The blue shape is a dilation of the black shape. What is the scale factor of the dilation? Simplify your answer and write it as a fraction or whole number.
Answers
Answer:
3 or 3/1 (the 1 is the denominator)
Step-by-step explanation:
the shape got 3 times bigger. let me know
please help i dont know
Answers
Answer:
a/4x-3
Step-by-step explanation:
4 'x' box means: 4x, 3 '-' box means: -3
Answer:
a) 4x-3
I hope this helps have a great day
hElP mEh
What integer does the arrow indicate?
-9
-14
-3
6
Answers
What are some transformations that would map DFE to ABC on this coordinate plane? Other than a unit movement
Answers
Answer: You could use a translation since the shape is maintaining its orientation and size. All it’s doing is moving to the right.
Louise owns a hot dog stand. The amount of money she collects from selling hot dogs each day can be found by using the equation y=3.5x What does 3.5 from the equation represent in the situation?
Answers
Answer:
3.5 represents the cost of each hotdog ($3.50).
Step-by-step explanation:
In y = 3.5x, the x represents the number of hotdogs and the y represents the total amount you have to pay for those hotdogs. The 3.5 represents the cost of each hotdog.
PLZ HELP 10 POINTS
Is the transformed figure (image) congruent to the original (pre-image) figure?
Answers
Congruent means there's exact shape and angle magnitude since transformation requires relocation of an image there's no change to it's shape therefore it's congruent
what is the additive inverse of [tex]\frac{2}{3}[/tex]
A. 3/2
B. 0
C. -2/3
D. -3/2
show al your work please due very soon
Answers
Answer:
your answer is C. -2/3
Step-by-step explanation:
In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign: the additive inverse (opposite number) of a positive number is negative, and the additive inverse of a negative number is positive. Zero is the additive inverse of itself. In this case, -2/3 is the additive inverse of 2/3.
PLEASE HELP FAST, I CANT GET IT WRONG
Answers
Answer: I think it is 12 divided by 7
what is the nth term of
3, 18, 41, 72
Answers
i think this is right this is my answer
lets evaluate 81^-3/4.
Answers
Answer:
1/ 27
Step-by-step explanation:
[tex] = 81^{ \frac{-3}{4} } [/tex]
[tex] = (\frac{1}{81}) ^{ \frac{3}{4} } [/tex]
[tex] = (\frac{1}{3}) ^3 [/tex]
[tex] = \frac{1}{27} [/tex]
The measures of two angles in a triangle are 32o and 78o. Which of the following equations could be used to find the measure of the third angle, x?
(the ¨o¨ is a degree symbol)
180−32+78=x
180−32=x−78
180−(32+782÷2)=x
32+78+x=180
Answers
Answer:
32+78+x=180
Step-by-step explanation:
All triangle angles add up to 180, so add 78 and 32 then subtract it from 180 to get x, which in another form is 32+78+x=180.
Answer:
32 + 78 + x = 180
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
32 + 78 + x = 180
Marly gets 5 gems every 5 minutes. If Marely has 180 gems, how many minutes have passed?
Answers
5 gems = 5 minutes
1 gems = 5 divided by 5 = 1 minute
180 gems = 1 x 180 = 180 minutes
180 minutes have passed.
Answer:
180
Step-by-step explanation:
It is one gem per minute.
Which of the following is a step in simplifying the expression x multiplied by y to the power of 2 over x to the power of negative 3 multiplied by y to the power of 3, the whole to the power of negative 4.? (5 points)
x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 7 multiplied by y to the power of negative 1.
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of 12 multiplied by y to the power of negative 12.
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3.
x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 3 multiplied by y to the power of 3.
Answers
Answer:
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3
Step-by-step explanation:
Identify the initial value and rate of change for the graph shown
A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.
Initial value: 1, rate of change 3 over 5.
Initial value: 3 over 5., rate of change: 0
Initial value: 1, rate of change 5 over 3.
Initial value: 5 over 3., rate of change: 0
Answers
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answers
Answer:
1/42
Step-by-step explanation:
4/7 - 23/42 = 24/42 - 23/42 = 1/42
pls answer my question i am not sure
Answers
Answer:
Calculation: 3 1/2 - 4 1/7 - fraction calculator. ... How do you solve fractions step by step? ... to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
Answer: 288 √3
—————-
13
Step-by-step explanation:
Shawn purchased $87.06 worth of merchandise at a department store. He gave the clerk $100.
Round to the nearest whole dollar to estimate how much change Shawn will receive.
What is the actual amount of change Shawn will receive?
Answers
100-87.06=12.94
$13(nearest dollar)
$12.94(actual)
Answer:
10
Step-by-step explanation:
because rounding 87 its 90, so 100-10=90.
Sylvain spent a total of 18 hours on English and math homework over the last 3 weeks. He spent twice as much time on English than on math. Let x represent the number of hours spent on English and y represent the number of hours spent on math.
x + y = 18. x = 2 y.
What is the solution of the system of equations?
(12, 6)
(6, 12)
(9, 9)
(15, 3)
Answers
Answer:
12, 6
Step-by-step explanation:
we have two equations
x + y = 18 .... . (i)
and x = 2y .... .(ii)
substituting the value of x from eq. (ii) in eq. (i)
2y + y = 18
3y = 18
y = 6
putting this value if y in equation (ii) to get x
x = 2 × 6
= 12
therefore,
(12, 6) is the solution to the system of equations
2y + y = 18 x + y = 18
3y =18 x + 6 = 18
y = 6 x = 12
(12,6)
find the value of a and be when x is 12 a= 5x^2/2 b= 2x^2(x-5)/10x
Answers
Answer:
a=360
b=168
Step-by-step explanation:
a=5×12×12/2=5×12×6=360
b=2×12×12×(12-5)/10×12=2×12×7=14×12=164
Triangle ABC is transformed to obtain triangle A′B′C′:
A coordinate grid is labeled from negative 12 to 0 to 12 on both x and y axes at increments of 1. Triangle ABC has A at ordered pair negative 12, 12, B at negative 9, 6, C at negative 3, 12. Triangle A prime B prime C prime has A prime at ordered pair 4, negative 4, B prime at 3, negative 2, C prime at 1, negative 4.
Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.? (5 points)
Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 90 degrees
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees
Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees
Answers
Answer:
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees
Step-by-step explanation:
Option 1 is correct
A quadrilateral that has its opposite sides equal and its angles, not a 90 is called:
a. deltoid
b. parallelogram
c. rectangle
d. square
e. trapezoid
Answers
EXPLANATION: It is saying that the angles are not 90 degrees, while all the options angles would be 90 except the parallelogram because it is a slanted rectangle/square.
simplify
(a^m/a^n)^m+n×(a^n/a^p)^n+p8×(a^p/a^m)^p+m
step by step
Answers
Answer:
m+a-1mn+m2+a-1np+n2n+a-mp+p2p8
Step-by-step explanation:
i just know sorry if this is wrong... :(
A/m/a^m^a/n
When you add 6 to the product of a number and 10, the result is 36. What is the number?
A) 3
B) 6
C) 2
D) 4
Answers
Answer: the number is 3.
Step-by-step explanation:
(x × 10) + 6 = 36
[(3) × 10] + 6 = 36
Answer:
3
Step-by-step explanation
First let's create an equation
Let x = number
Product is outcome of multiplication
The product of 10 and a number can be written as 10x
Were supposed to add 6 to the product and that should equal 36
So the equation is 10x + 6 = 36
We now solve for x using basic algebra
10x + 6 = 36
Subtract 6 from both sides
10x = 30
Divide both sides by 10
X = 3
Alicia rented a car for a total of $380 for 2 1/2 days. what was the cost of the car per day?
A. $56/ day
B. $66/ day
C. $ 152/ day
D. $86/ day
Answers
Answer:
C. $152/day
Step-by-step explanation:
To find the cost per day, we have to divide the total cost by the number of days:
380/2.5 = 152
Note: 2 1/2 = 2.5
You divide 380 by 2.50
Is the triangle obtuse, acute, equilateral or right?
Answers
9514 1404 393
Answer:
obtuse
Step-by-step explanation:
The law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Substituting for a²+c² using the given equation, we have ...
b² = b²·cos(B)² -2ac·cos(B)
We can subtract b² to get a quadratic in standard form for cos(B).
b²·cos(B)² -2ac·cos(B) -b² = 0
Solving this using the quadratic formula gives ...
[tex]\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...
[tex]\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.
