Answer:
Step-by-step explanation:
x^4 - 6x^3 -5x^2 +42x +40
Answer:
Step-by-step explanation:
(x²-3x-1)² = (x²)² + (-3x)² + (-1)²+ 2(x²)(-3x)+2*(-3x)(-1)+2*(-1)(x²)
= x^4 +9x² +1 -6x³ +6x -2x²
=x^4 - 6x³ + 9x² -2x² + 6x + 1
=x^4 - 6x³ + 7x² + 6x + 1
(x²-3x-1)²-12(x²-3x-1)+27 = x^4 - 6x³ + 7x² + 6x + 1 - 12x² + 36x + 12 + 27
=x^4 - 6x³ + 7x² - 12x² + 6x +36x + 1 + 12 +27
=x^4 - 6x³ - 5x² + 42x + 40
[tex]\frac{-3}{\sqrt{x} +3} +\frac{1}{2}[/tex]
[tex]\huge\bold\color{blue}{⁂Answer:}[/tex]
[tex]\bold{ - \frac{6 \sqrt{x} - x - 9 }{2(x - 9)} }[/tex]
#CarryOnLearning
[tex]\bold\color{red}{༄Fairy \: Elfꨄ︎}[/tex]
Question 4 of 40
If cose= -
5
in quadrant II, what is sine?
Step-by-step explanation:
cosx=adjacent/hypotenuse
adj=3, hyp=5
by pythagoras theorem,
opp^2+3^2=5^2
opposite=4
sine=opp/hyp
sinex=4/5 (second quadrant so sin is positive)
The solution is, The value of sin ∅ in quadrant 2 is 4/5.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
here, we have,
given that,
cos∅ = - 3/5, in quadrant II,
We have;
adjacent = -3
hypotenuse = 5
Let's find the opposite side, using Pythagorean theorem
5^2 = x^2 + (-3)^2
25 = x^2 + 9
collect like terms
x^2 = 25 - 9
x^2 = 16
x = √ 16
x = 4
We have that
sin ∅ = opposite/hypotenuse
sin ∅ = 4/5
It is important to note that the trigonometric identity 'sine' is positive in quadrant 2
sin ∅ = 4/5
Hence, the value of sin ∅ in quadrant 2 is 4/5
Learn more about trigonometric relations here:
brainly.com/question/863849
#SPJ7
Tìm giá trị lớn nhất giá trị nhỏ nhất
Cos(x+π/3)+ cos(x-π/3)
Answer:
GTLN : 1 GTNN: -1
Step-by-step explanation:
Ta có:
[tex]y=cos(x+\frac{\pi }{3} ) + cos(x-\frac{\pi }{3} ) \\ = 2.cosx.cos\frac{\pi }{3} \\ = cosx[/tex]
mà [tex]-1\leq cosx \leq 1[/tex]
Nên Max [tex]y=1[/tex] , [tex]x[/tex] ∈ [tex]R[/tex]
Min [tex]y = -1[/tex], [tex]x[/tex] ∈ [tex]R[/tex]
Predict what will happen to the graph of the line 2y=3x-6 if the slope was changed to 2
Answer:
y = 3/2x-3 vs. y = 2x-3
Step-by-step explanation:
2y=3x-6 ------ y = 3/2x-3
Write this rate as a unit rate 1/7inch 1/14 minute
Answer:
2 inches per minute
Step-by-step explanation:
What is the simplest shape in Mathematics?
I just really need to finish this math stuff so plz help
Answer:
wx/5
Step-by-step explanation:
Divide the denominator and the numerator by 7y.
Answer:
wx / 5
Step-by-step explanation:
here..
7wxy / 35y
7/35 is 1/5
and wxy /y is wx as we can cancel out y
thus..
7wxy/35y = wx/5
It’s 11 but I need help
A,12/15=4/5
B,20/25=4/5
C,25/30=5/6
D,28/35=4/5
=> C
What is the volume of the sphere below PLEASE HELP FAST
Answer:
c. 256π/3 units^3
Step-by-step explanation:
Recall that the volume V of a sphere with radius r is given as
V = 4 /3πr3
Hence from the image given, the radius of the sphere which is the distance from the center to any point on the circumference is 4 units hence the volume
V = 4/3 * π * 4^3
= 4/3 * π * 64
= 4*64/3 * π
= 256π/3 units^3
Option c is right
Find the measurement of ∠ABE. Show all your work that leads to the final answer.
PLEASER HELP WILL GIVE BRAINLIEST!
Answer:
$250
Step-by-step explanation:
the class width (just choose one of the rows, it could be the same) =>for example:the first row = $(749-500+1) = $250
Work out the value of 10^2 - 4^3
Give your answer as a power of 6.
Answer:
6^2 = 36
Step-by-step explanation:
10^2 = 10 * 10 = 100
4^3 = 4 * 4 * 4 = 64
10^2 - 4^3= 100 - 64 = 36 = 6^2
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]6^2[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\10^2 - 4^3\\---------------\\\rightarrow 10^2 = 100\\\\\rightarrow 4^3 = 64\\\\\rightarrow 100 - 64 = \boxed{36}\\\\\text{Since we know that '36' is a perfect square, we can rewrite our answer as: } \boxed{6^2}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
due to Deepavali or TV is sold for rupees 14900 after allowing a discount of 23% what is the Marked price
Answer:
Correct option is
C
Rs.8000
SP=xRs
CP=(0.8x+600)Rs
P%=14
7
2
%
SP=
100
CP(100+P%)
x=
100
(0.8x+600)(100+
7
100
)
x=
7×100
(0.8x+600)(800)
700x=640x+480,000
x=8,000
Vector u has its initial point at (-7, 2) and its terminal point at (11, -5). Vector v has a direction opposite that of vector u, and its magnitude is three times the magnitude of u. What is the component form of vector v?
A. v = <-54, 63>
B. v = <-162, -63>
C. v = <-54, 21>
D. v = <-162, 21>
Answer:
Answer is C) V= <-54,21>
Step-by-step explanation:
Compenent form of v is <-54,21>
HELP ASAP PLEASEREEEEE
Answer:
uh
Step-by-step explanation:
my guy, I DK.
16 + 28 = ___ ´ (4 + 7).
Answer:
Solution given:
16+28=44
(4+7)=11
Answer:
The solution is 4
Step-by-step explanation:
Step 1: Find the correct answer
I'm not really sure what you are asking but I will give it a shot.
16 + 28 = ___ (4 + 7)
44 = ___ (11)
44 / 11 = ___ (11) / 11
4 = ___
Answer: The solution is 4
help me with this pleaseeee
Answer:
it's 64..............
if measure of three angles of a quadrilateral are 65 degree 95 degree and 45 degree then find the measure of the fourth angle?
Answer:
155 degrees
Step-by-step explanation:
Hi there!
The sum of the interior angles of a quadrilateral is always 360 degrees. To find the measure of the fourth angle, subtract 65, 95 and 45 from 360:
360-65-95-45
= 155
Therefore, the measure of the fourth angle is 155 degrees.
I hope this helps!
Answer:
155 degrees
Step-by-step explanation:
A quadrilateral has a total internal angle sum of 360 so we can set up an equation where x is the fourth angle
360=65+95+45+x
360=205+x
x=155
steps to describe an inscribed regular hexagon.
Answer:
many sides
unique shape
Y = 2x + 3
(2, 7)
(1, 3)
(-3, 6)
(0, 2)
Answer:
(2,7)
Step-by-step explanation:
On a unit circle, the terminal point of θ is (√2/2, √2/2). What is θ?
Given:
On a unit circle, the terminal point of θ is [tex]\left(\dfrac{\sqrt{2}}{2},\dfrac{\sqrt{2}}{2}\right)[/tex].
To find:
The value of [tex]\theta[/tex].
Solution:
If the terminal point of θ is (x,y), then
[tex]\tan \theta=\dfrac{y}{x}[/tex]
On a unit circle, the terminal point of θ is [tex]\left(\dfrac{\sqrt{2}}{2},\dfrac{\sqrt{2}}{2}\right)[/tex]. So,
[tex]\tan \theta=\dfrac{\dfrac{\sqrt{2}}{2}}{\dfrac{\sqrt{2}}{2}}[/tex]
[tex]\tan \theta=1[/tex]
[tex]\tan \theta=\tan \dfrac{\pi}{4}[/tex]
[tex]\theta=\dfrac{\pi}{4}[/tex]
Therefore, the correct option is D.
Factorize this 5y2 + 2y – 3a2?
Answer:
y(5y +2) -3a²
Step-by-step explanation:
that is the solution above
indices-find The value of 6*7^3
Answer:
[tex]6 * 7^3 = 2058[/tex]
Step-by-step explanation:
Given
[tex]6 * 7^3[/tex]
Required
Solve
App;y law of indices:
[tex]6 * 7^3 = 6 * 7*7*7[/tex]
Multiply
[tex]6 * 7^3 = 2058[/tex]
If necessary, write in simplest radical form
Answer:
2*sqrt(5)
Step-by-step explanation:
By using Pythagoras theorem, we have
4^2+2^2=(the third side)^2
16+4=(the third side)^2
Third side=sqrt(20)=2*sqrt(5)
the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
will give brainliest to correct answer
Answer:
Step-by-step explanation:
I answered your question in #24317186. Apparently you asked it twice and no one helped you yesterday.
Tom is a builder and earns $38.50 an hour. Calculate his weekly wage if he works for 38 hours?
Answer:
$1,463
Step-by-step explanation:
38.50x38=1,463
often contains information about the author's experiences with the subject matter of
9. The author's introduction to a book, also called a/an
the book.
A. glossary
B. Index
C. table of contents
D. preface
Im quite sure it’s d wanna make sure
What is the area of the shape below?
A.
886 cm2
B.
781.5 cm2
C.
1,019 cm2
D.
990.5 cm2
which of the following are remote interior angles of 5 ?
Answer:
The answer is B and C.
Answer: B AND C
Step-by-step explanation:
Remote interior angles are angles that are opposite from the exterior angles (5 in this case).
Two similar polygons have areas of 4 square inches and 64 square inches.
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
Answer:
4
Step-by-step explanation:
The ratio of the area of similar figures is the ratio between corresponding sides squared. This means that 64/4 or 16 is the square of the ratio of corresponding sides. By taking the square root of 16, we get that ratio is 4.