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
Factorise 7a^3b^2 - 14a^2b^3
Answer:
[tex]7a^2b^2\left(a-2b\right)[/tex]
Step-by-step explanation:
[tex]7a^3b^2 - 14a^2b^3[/tex]
[tex]7a^2b^2(a)-7a^2b^2(-2b)[/tex]
[tex]=7a^2b^2\left(a-2b\right)[/tex]
Use the fishbowl to answer the following question.
a. How many fish are there in the bowl? fish.
b. Which color fish has the highest probability of being fished?
c. What is the probability of choosing this color?
Fraction
Decimal (provide the first 5 decimal numbers & yes round the number)
Percent % (round to the nearest tenth)
Answer:
a) 14
b) green
c) fraction 6/14
percentage: 42.8% rounded: 40%
not sure about the decimal tho
Answer:
a) 14
b) green
c) 6/14
d)percent 42.8 %
round up 40 %
what is called circle
Answer:
A round plane figure whose boundary (the circumference)consists of points equidistant from a fixed point (the center)
Answer:
A round plane figure
Step-by-step explanation:
Find the measurement which is most accurate to 45.76 kg.
A. 45.77 kg
B. 45.78 kg
C. 45.79 kg
D. 45.81 kg
Answer:
A. 45.77 kg
Step-by-step explanation:
The measurement with the smallest difference from 45.76 is 45.77 kg.
Plz try your best do not quess
Answer:
4,000,000,000,000
Step-by-step explanation:
Make it look like this first:
[tex]\frac{6*10^8}{1.5*10^-4}[/tex]
You get:
[tex]4*10^{12}[/tex]
Which is 4,000,000,000,000
If a polynomial function f(x) has roots 0, 4, and 3+ sqrt 11, what must also be a root of f(x)?
a. 3+i sqrt 11
b. -3+i sqrt 11
c. 3- sqrt 11
d. -3- sqrt 11
Answer:
The answer is C 3- sqrt 11
Step-by-step explanation:
can someone help please
Answer:
C
Step-by-step explanation:
Please help me with my question!!
Answer:
B
Step-by-step explanation:
When you add two fractions with an equal denominator, you can simply add together the numerators. If it is a mixed fraction, you leave the integer alone unless the sum of the numerators is greater than the denominator, in which case you rewrite the fraction appropriately.
6/19 + 1 2/19= 1+ (6+2)/19 = 1 8/19, not 1 9/19. Therefore, the correct answer is choice B. Hope this helps!
Two opposite sides of a parallelogram are 3x-8 and 10x+13. Find the measure of all sides
Answer:
Step-by-step explanation:
Using the parallelogram theorem
3x-8 = 10x+13
-7x = 21
x = -3
Substitute
3(-3) - 8
-17
10(-3) + 13
-17
Calvin is using a 10 foot ladder to paint his house. If he leans the ladder against the
house so that it makes a 71° angle with the ground, how far up the house does the
ladder reach? Round to two decimal places.
Answer:
9.46 ft
Step-by-step explanation:
Law of sines
10/sin(90)=x/sin(71)
x=(sin(71)*10)/sin(90)
x=9.46
Can I please have help
Answer:
A (1,0), B (3,0) Q (2,-1) P(0,3)
Step-by-step explanation:
A(1,0) B (3,0) these are the roots of the current graph so the factors or the x-intercepts.
Q is the minimum so it is halfway between the x-intercepts
halfway = 3+1/2 , x=2
plug x=2 into the equation
y=(2-1)(2-3)
y= -1
therefore Q = (2,-1)
P is the y-intercpet when x=0, so plug x=0 into the equation
y=(0-1)(0-3) = 3
therefore Q =
(0,3)
Divide (10x^3 + 19x^2 + x - 7) by (5x + 2)
Answer:
2x² + 3x - 1 - 5/(5x +2)
Step-by-step explanation:
2x² + 3x - 1
__________________
5x + 2 | 10x³ + 19x² + x - 7
| -10x³ - 4x²
| 15x² + x
| - 15x² - 6x
| - 5x - 7
| 5x +2
| - 5
2x² + 3x - 1 - 5/(5x +2)
pls help i cant find
Answer:
Let's see the first two points: (-7, 5) and (-5, 9)
The line passes these points has a form of: y = Mx + b
=> 5 = (-7)M + b
9 = (-5)M + b
Subtract the 1st equation from 2nd equation, we have:
4 = 2M
=> M = 2
Substitute M back into 1st equation:
=> 5 = (-7)*2 + b
=> b = 19
=> y = 2x + 19
or y - 5 = 2x + 14
or y - 5 = 2(x + 7)
=> Option A is correct
Hope this helps!
:)
Answer:
A
Step-by-step explanation:
The difference between the values of y are constant, that is
17 - 13 = 13 - 9 = 9 - 5 = 4
This indicates the relationship is linear.
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 7, 5) and (x₂, y₂ ) = (- 5, 9) ← 2 ordered pairs from the table
m = [tex]\frac{9-5}{-5+7}[/tex] = [tex]\frac{4}{2}[/tex] = 2
Use any ordered pair from the table for (a, b)
Using (a, b) = (- 7, 5), then
y - 5 = 2(x - (- (- 7)) , that is
y - 5 = 2(x + 7) → A
The total area of the figure to the right is
187cm. Use this fact to write an
equation involving x. Then solve the
equation to find the value of x. Justify
your answer
Answer:
x = 4 cm
Step-by-step explanation:
The area of an rectangle is the product of its length and its breadth.
From the diagram, the length = 13 + x and the breadth = 7 + x. Therefore:
Area of the rectangle = length × breadth = (13+x)(7+x)
But the area = 187 cm,
⇒ 187 = (13+x)(7+x)
187 = x² + 20x + 91
Subtracting 187 from both sides
x² + 20x + 91 - 187 = 187 -187
x² + 20x - 96 = 0
x² + 24x - 4x - 96 = 0
x(x + 24) - 4(x + 24) = 0
(x - 4)(x + 24) = 0
x - 4 = 0 or x + 24 = 0
x = 4 or x = -24
Since x cannot be negative therefore, x = 4 cm
Length = 13 + 4 = 17 cm
Breadth = 7 + 4 = 11 cm
find the value of each trigonometric ratio. Part 1
Answer: [tex]\bold{2)\ sin\ C=\dfrac{20}{29}\qquad 3)\ tan\ A=\dfrac{8}{15}\qquad 4)\ tan\ Z=\dfrac{4}{3}}[/tex]
Step-by-step explanation:
[tex]2) \sin C=\dfrac{\text{side opposite of}\ \angle C}{\text{hypotenuse of triangle}}=\large\boxed{\dfrac{20}{29}}\\\\\\3) \tan A=\dfrac{\text{side opposite of}\ \angle A}{\text{side adjacent to}\ \angle A}=\large\boxed{\dfrac{8}{15}}\\\\\\4) \tan Z=\dfrac{\text{side opposite of}\ \angle Z}{\text{side adjacent to}\ \angle Z}=\dfrac{40}{30}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]
part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.
Answer: [tex]\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}[/tex]
Step-by-step explanation:
Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse
[tex]9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}[/tex]
Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12
[tex]10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}[/tex]
Note: 12² + opposite² = 20² → opposite = 16
[tex]11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}[/tex]
Note: adjacent² + 5² = 6² → adjacent = √11
[tex]12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}[/tex]
Note: adjacent² + 7² = (13√2)² → adjacent = 17
Can anyone help me with 9th-grade geometry?
Answer:
See below.
Step-by-step explanation:
From the given info the 2 triangles are isosceles with AE = FR and ET = RP because the 2 sets of base angles are equal.
As the base angles are congruent m < E = m < R.
So the are 2 triangles are congruent by SAS, ASA and AAS.
Find the term to term rules for the following sequences:
2, 6, 18, 54, 162
Step-by-step explanation:
U=ar^(n-1)
r=6/2=3
a=2
U=2(3)^n-1=6^n-1
Let f(x) = ............
Answer:
So first lets find g(-1)
so we plug in the answers:
-2 * -1 ^2 -4
-2*1-4 = -2-4 =
-6
Now lets solve for f(-2)
-2^2-3
4-3=1
-6+1 = 5
3*5 = 15
Im getting answer of 15 but it shows -15 or something, so I dont know if I got it wrong or if its like a dash then the answer.
please help me thankyou lol
Answer:
Yes, they are congruent
Step-by-step explanation:
They are congruent because they both have same length sides
A bus travels the 240 miles from Boston to New York. It departs at 11:00 a.m. and arrives in New York at 3:00 p.m. What is the average speed of this bus?
Answer: 60miles/hours
Step-by-step explanation:
From the question, a bus travels the 240 miles from Boston to New York and the bus departs at 11:00 a.m. and arrives in New York at 3:00 p.m. The time taken by the bus is (3:00pm - 11:00am) = 4 hours.
Average speed = Distance/Time
Average speed =240miles/4 hours
Average speed= 60miles/hours
The the average speed of this bus is 60miles/hour.
How many cubes with a side length of 1/2 unit would it take to fill a rectangular prism with a volume of 2 cubic units?
Answer:
16
Step-by-step explanation:
1/2*1/2*1/2 = 1/8 cubic units
2/(1/8) = 16
Answer:
16
Step-by-step explanation:
[tex](\frac{1}{2})^3 = \frac{1^3}{2^3} = \frac{1}{8}\\\frac{2}{\frac{1}{8}} = 2 \cdot 8 = 16[/tex]
If you add the digits in a two-digit number and multiply the sum by 7, you get the original number. If you reverse the digits in the two-digit
number, the new number is 18 more than the sum of its two digits. What is the original number?
O A 42
B. 24
C. 64
D.46
E.36
Answer: A - 42
Step-by-step explanation:
Let x= ones digit, y=tens digit
1st (original number) :
7(x+y)=10y + x
2nd (new number by reversing the digits): 18+x+y=10x+y
simplifying:
1st condition: 6x=3y
2nd condition: x=2
substituting x=2 to 6x=3y
y=4
Answer:
The answer is 42 but let me tell you this question made my brain cell work an all nighter from how bad I am at riddles LOL
Step-by-step explanation:
Mrs. Whitlow gives her dog, Ekon, a weekly allowance to spend on treats. This week, Ekon
received $2.20 in nickels and dimes. If there is a total of 26 coins, how many of each coin did
Ekon get?
(Solve using systems of linear equation)
Answer:
8 nickels and 18 dimes
Step-by-step explanation:
Make a system of equations:
n + d = 26
5n +10d = 220
Solve by elimination by multiplying the top equation by -5. This gives you:
-5n -5d = -130
5n +10d = 220
Then solve to get 5d= 90, then d= 18.
Then plug 18 for d in the equation n + d= 26, so n + 18= 26
n= 8
An employee earns a 25% commission rate on his sales. One day, he earned $175.
If he gets 25% of his sales, and he makes $175, that means $175 is it 25% of his sales.
(2x+3)²=125 find x
with full solution please
Answer:
x = ± ( 5√5 - 3 ) / 2
Step-by-step explanation:
We are given the equation ( 2x + 3 )² = 125;
[tex]( 2x + 3 )^{ 2 } = 125 - Take Square Root on Either Side,\\| 2x + 3 | = \sqrt{ 125 } - Simplify Square Root of 125,\\\\| 2x + 3 | = \sqrt{ 5 * 25 } - Simplify Further,\\| 2x + 3 | = 5\sqrt{ 5 } - Take | |,\\\\2x + 3 = 5\sqrt{ 5 } , and , 2x + 5 = - 5\sqrt{ 5 } - Algebra, \\2x = 5\sqrt{ 5 } - 3 , and , 2x = - 5\sqrt{ 5 } - 3 - Divide Either Side by 2\\\\x = ( 5\sqrt{ 5 } - 3 ) / 2, and , x = ( - 5\sqrt{ 5 } - 3 ) / 2\\Conclusion ; x = ( + / - 5\sqrt{ 5 } - 3 ) / 2[/tex]
Solution ; x = ± ( 5√5 - 3 ) / 2
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!
Answer:
see below
Step-by-step explanation:
1. 0 = (r + 1)(r + 8)
Using Zero Product Property, r = -1, r = -8
2. h(r) = (r + 1)(r + 8)
= r² + 9r + 8
= (r + 9/2)² - 81/4 + 8
= (r + 4.5)² - 12.25 (Complete the square)
Vertex: (-4.5, -12.25)
Solve the system of equations:
y = 2x - 3
y= x2 – 2x-8
A. (-1, -3) and (5, 4)
B. (0, -3) and (3, 3)
C. (4,0) and (-2,0)
D.(-1,-5) and (5,7)
Answer:
D.(-1,-5) and (5,7)
Step-by-step explanation:
I used a graphing tool to graph the two equations together. When graphed, the equations intercept (5,7) and (-1,-5). Therefore, they are the solutions to the system.
Option D should be the correct answer.
PLS HELP ME!!!! ASAP I WILL MARK BRAINLIEST!!!!!!
Answer:
(-3)^3 x^5
Step-by-step explanation:
x*x*x*x*x *(-3)*(-3)*(-3)
There are 5 x terms
x^5
There are 3 (-3) terms
(-3)^3
Multiply theses together
(-3)^3 x^5
The right answer is (-3)^3 x^5
please see the attached picture for full solution
hope it helps...
Good luck on your assignment..
A train covers 240 Km in 3 hours. How much distance will it cover in 1 ¾ hours? *
Answer: 140 km
Step-by-step explanation:
240 km in 3 hours
1 3/4 hours = (1 3/4 / 3) x 240
= (7/4 / 3) x 240
= 7/12 x 240
= 7 x 20 = 140
