Answer:
Step-by-step explanation:
(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2
Adding and substracting 2x^2y^2
We get
(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2 +2x^2y^2-2x^2y^2
And we know a^2-2ab+b^2=(a-b)^2
So we identify (x^2)^2 as a^2 ,(y^2)^2 as b^2 and -2x^2y^2 as - 2ab. So we can rewrite (x^2+y^2)^2=(x^2 - y^2)^2 + 2x^2y^2 + 2x^2y^2= (x^2 - y^2)^2+4x^2y^2= (x^2 - y^2)^2+2^2x^2y^2
Moreever we know (a·b·c)^2=a^2·b^2·c^2 than means 2^2x^2y^2=(2x·y)^2
And (x^2+y^2)^2=(x^2 - y^2)^2 + (2x·y)^2
Xavier, Yaozhou and Zara had some beads. Xavier and Yauzhou had a total of 438 beads. Xavier and Zara had a total of 04 beads. Yaozhou had 3 times as many beads as Zara. How many beads did Xavier have?
Answer:
Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.
Step-by-step explanation:
Let the number of beads that Xavier has be x.
Let the number of beads that Yaozhou has be y.
Let the number of beads that Zara has be z.
The total number of beads they have altogether is 438. This means that:
x + y + z = 438 _______(1)
Xavier and Zara have a total of 204 beads. This means that:
x + z = 204
=> x = 204 - z _______(2)
Yaozhou has 3 times as many beads as Zara. This means that:
y = 3z _________________(3)
Put (2) and (3) in (1):
204 - z + 3z + z = 408
3z = 408 - 204 = 204
z = 204/3 = 68
From (2):
x = 204 - 68 = 136
From (3):
y = 3 * 68 = 204
Therefore, Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.
Correctly identify the first step in solving the system of equations by using the elimination method given the following equations:
5x+y=5
10x+3y=20
Answer:
x=-1 and y=10
Step-by-step explanation:
-3(5x+y=5)
10x+3y=20
-15x-3y=-15
10x+3y=20
10x-15x+3y-3y=20-15
-5x=5
x=-1
5x+y=5
(-1)5+y=5
-5+y=5
y=10
Line segment OC splits AOB into two angles. Find AOC, if AOB = 155 degree, and m COB is 15 degrees less than m AOC.
Answer:
Step-by-step explanation:
The diagram representing the scenario is shown in the attached photo. From the photo, lines AO, BO and CO meet at a common point O. Since angle AOB is 155 degrees and angle COB is 15 degrees lesser, then angle COB is
155 - 15 = 140 degrees
Recall, the sum of the angles at a point is 360 degrees. Therefore, the sum of the angles at point O is
Angle AOC + 140 + 155 = 360
Angle AOC + 295 = 360
Angle AOC = 360 - 295 = 65 degrees
Find the volume of the composite solid.
Answer:
Equal.
Step-by-step explanation:
The volume of the rectangular prism is:
V = length x width x height
V = 3a x 2b x c
V = 6abc
The volume of the pyramid is:
V = (base area x height)/3
V = (a x b x 18c)/3
V = 18abc/3
V = 6abc
The two volumes are equal.
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!
Answer:
625
Step-by-step explanation:
The maximum is the y-coordinate of the vertex. The vertex is (25, 625) so the answer is 625.
please help me asap
Answer:
that's the lowest term actually
What is the range of the function below?
Answer:
C
Step-by-step explanation:
f(x)=72-4x
72-4x=0
4x=72
x=18
f(x)<=18
Shiela either walks or cycles to school the probability that she walks is 0.65 if she walks the probability that she is late is 0.4 if she cycles the probability that she is late is 0.1 What is the probability that she will not be late for school
Answer:
0.705
Step-by-step explanation:
Data:
walks=0.65 and is late=0.4;is not late=0.6
cycles=0.35 and is late=0.1;is not late=0.9
The probability of sheila walking and not being late:
0.65 x 0.6=0.39
AND probability of being not late and cycling:
0.35 x 0.9=0.315
therefore,the probability of sheila walking or cycling and still not being late:
0.39+0.315=0.705
A.) 10.9
B.) 8.6
C.) 7.3
Answer:
Option (c) 7.3
Step-by-step explanation:
Since is forms a right angled traingle,
a= 3+4= 7
b = 4-2= 2
c = AB
Pythagorean theorem:
a^2+b^2 = c^2
So since we know a and B but the hypotenuse (c) is missing
7^2 + 2^2 = c^2
c^2 = 49+4
= 53
c = √53
= 7.28 rounded off to 7.3
So the length of hypotenuse or c is 7.3 units
Therefore, the length is 7.3
There are 120 males and 180 females in Albany Tennis Club.
Write the number of males to the number of females as a ratio in its simplest form.
PLEASE HELP URENT What is the length of leg s of the triangle below?
45°
412
90°
45°
S
O A. 4
O B. 2
O C. 4.4
O D. 1
O E. 52
O F. 5.6
Answer:
4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 45 = s / 4 sqrt(2)
Multiply each side by 4 sqrt(2)
4 sqrt(2) *sin 45 = s
4 sqrt(2) * 1/ sqrt(2) =s
4
Find the slope of the line will mark as brain
y
=
–9
4
x
−
1
4
.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer negative 9 is the answer
Step-by-step explanation:
cuba is famous of which crop
What is the square root of 24 to the 16th power
Answer:
24 ^ 8
Step-by-step explanation:
sqrt(24) ^ 16th power
Rewriting the square root as ^ 1/2
24 ^ 1/2 ^ 16
We know that a^b^c = a^ (b*c)
24 ^ (1/2*16)
24 ^ 8
Answer:
2²⁴ *3⁸ or 24⁸
Step-by-step explanation:
the square root of 24 to the 16th power can be written as 24
([tex]\sqrt{24}[/tex] )¹⁶
√ means power of 1/2 so ([tex]\sqrt{24}[/tex] )¹⁶ = (24)^(¹⁶/₂) = 24⁸ or
24 = 4*6 and [tex]\sqrt{24} = 2\sqrt{6}[/tex]
then (2[tex]\sqrt{6}[/tex] )¹⁶= 2¹⁶ *6⁸ = 2¹⁶ * 2⁸ *3⁸ = 2²⁴ *3⁸
The table shows the scores of a biology test in Mrs. Smiths class . Find the mean of the data without Kim’s score.
A- 80
B- 87.2
C- 90
D- 84.5
Answer:
87.2
Step-by-step explanation:
90+93+87+83+86+90+82=611
611/7=87.29
answer is b
what is the value of this expression when c=4 c^3/2
Answer:
8
Step-by-step explanation:
c ^ 3/2
Let c = 4
4 ^ 3/2
Rewriting 4 as 2^2
2 ^2 ^3/2
We know that a^b^c = a^(b*c)
2 ^(2*3/2)
2 ^3
8
the right answer is 8.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment....
Use the Law of Sines to complete an expression that represents the angle measure x.
Answer:
The length of a is equal to 14.9.
The angle measure of b is equal to 71°.
The length of c is equal to 25.5.
General Formulas and Concepts:
Pre-Calculus
Law of Sines:
[tex]\displaystyle \bold{ \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} }[/tex]
Step-by-step explanation:
Step 1: Define
Identify given from triangle.
Length corresponding with x°: 14.9
Other given angle: 71°
Length corresponding with 71°: 25.5
Step 2: Find Values
[Law of Sines] Substitute in variables:∴ we have completed the expression using Law of Sines.
---
Topic: Precalculus
Unit: Trigonometry
x=12-1//3x
can anyone tell me the full answer
Answer:
x=9 is the answer......
which numbers are solutions of the inequality x>-12 ? check all that apply.
-20
-12
-7
0.9
8.5
16
Answer:
- 7, 0.9, 8.5, 16
Step-by-step explanation:
It should be that x must be greater than - 12, so let us consider all options;
[tex]- 20 < - 12,\\- 12 = - 12,\\ - 7 > 12,\\ 0.9 > 12,\\8.5 > - 12,\\16 > - 12[/tex]
Let us substitute x as each of these values;
[tex]x < - 12,\\x = - 12,\\x > - 12,\\x > - 12,\\x > - 12,\\x > - 12[/tex]
As you can tell, the last 4 Options are applicable;
Solution ⇒ - 7, 0.9, 8.5, 16
The solutions to inequality are - 7, 0.9, 8.5, and 16.
What is inequality?In mathematics, an inequality is a relation that makes a non-identical contrast between two numbers or other mathematical expressions.
What are the 5 types of inequality math?greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), not equal to symbol (≠).Learn more about inequality here https://brainly.com/question/11613554
#SPJ2
Zachary can't believe how bad London's traffic is today. In the past 10 minutes, his cab has barely moved 500 meters! He wonders if walking would have been faster. If Zachary walks at an average speed of 5 kilometers per hour, how many minutes would it take him to walk 500 meters?
Answer:
6 min
Step-by-step explanation:
5 kilometers = 5,000 meters
500/5,000 = 1/10 meaning it would take him 1/10 of an hour or 6 minutes to cover this distance.
Does anyone know the answer ?
Answer:
3.75
Use the pythogorean theorm for sqrt(6.25^2 - 5^2) = x
identify the domain of the function shown in the graph.
A. x is all real numbers
B. 0<x<5
C. -5<x<5
D. x>0
Answer:
A, all real numbers
Step-by-step explanation:
The domain is the x value and the x value is the domain.
So when you take a look at the x values, it keeps going on and on
So when x values or y values keep going on forever we call that all real numbers
Hope this helps! Plz mark brainliest!
If < D is a right angle and < E is a right angle, and you said that < D is congruent to < E, the reason would be ____. Select one: a. Supplementary Angles are congruent b. All right angles are congruent c. Complementary Angles are congruent
Answer:
(B)All right angles are congruent
Step-by-step explanation:
Given that:
[tex]\angle D$ is a right angle, and\\\angle E$ is a right angle\\\\\angle D=90^\circ\\\angle E=90^\circ\\$Therefore: \angle D \cong \angle E[/tex]
The reason for this congruency is that both are right angles and in fact, all right angles are congruent.
30% of consumers prefer to purchase elecktronicks online you randomly select 8 consumers find the probability that the number of consumers who prefer to purchase electronics online is a exactly 5 be more than 5 &c at most 5
Answer:
see below
Step-by-step explanation:
Take the number of people surveyed and multiply by 30 %
8 * 30%
Change to decimal form
8 * .3
2.4
About 2.4 will purchase online
How long would it take you to reach 100 for the number of times you did your activity from this graph?
PLEASE HELP NOW
ILL GIVE YOU BRAINLIEST
Answer:
33 1/3 minutes
Step-by-step explanation:
I note x- number of sentences
y=time
when x=3, y=1
x=6, y= 2
I observe that for every 3 sentences I have one more minute ( y increases by 1) so y= x/3
when x=99 i have y=99/3=33 minutes
for x= 100 I have y=100/3minutes= 33 1/3 minutes
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
Step-by-step explanation:
The answer is b
true or false ? why and why not ?
8a - (8a - 8) is equivalent to 8
Answer:
True
Step-by-step explanation:
Apply the distributive property
8a-(8a)- -8
Multiply 8 by -1
8a-8a- -8
Multiply -1 by -8
8a-8a+8
Simplify by adding terms
Subtract 8a from 8a
0+8
Add 0 and 8
8
Hope this helps :)
A school band decides to hold a bake sale to raise money. They withdrew $50 from the band's account for ingredients. The deposit they made back into the account from the sale was $140. What was the overall increase or decrease in the band's account?
Answer:
90
Step-by-step explanation:
140-50
this is because the band took 50 and got 140 to remove 50 from 140
EASY question for y’all mathy people, easy points! Question in photo.
Answer:
Step-by-step explanation:
A linear function is a line which, in slope-intercept form, follows
y = mx + b,
where m is the slope and b is the y-intercept.
The only one that follows that form is B. B can be rewritten as
[tex]y=\frac{1}{3}x+2[/tex]
and in that form we see that the slope value is 1/3 and the y-intercept is 2. The choice is B.
A is a radical function moved up from its originating spot; C is an inverse function moved down 4 units from its originating spot with a vertical asymptote at x = 0; and D is a cubic moved down 10 units from its originating spot.
B is the one you want.
Somebody please help! And show your work!
a= 34 degrees
b= 28 degrees
c= 62 degrees
Step-by-step explanation:
First you know that b is 1/2 of 56 degrees or 28.
The triangle with the a in it is isoceles because the two sides are both radii.
In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.
Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.
We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.
a whole circle equals 360.
360-56-68-112 = 124
Angle c = 1/2 of 124, or 62 degrees