Answer: 36x^3 +27x^2 = 9x^2\left(4x+3\right)
Step-by-step explanation: apply exponent rule rewrite factor out common term plz enjoy
Answer:
[tex]x = 0\; ,-\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]36x^3 + 27x^2 = 0[/tex]
Take 9x² common from the expression on L.H.S.[tex]=> 9x^2(4x + 3) = 0[/tex]
Here, x will have 2 values :-
1) [tex]9x^2(4x + 3) = 0[/tex]
Divide both the sides by (4x + 3)[tex]=> \frac{9x^2(4x + 3)}{(4x+3)} = \frac{0}{4x+3}[/tex]
[tex]=> 9x^2 = 0[/tex]
Divide both the sides by 9x[tex]=> \frac{9x^2}{9x} = \frac{0}{9x}[/tex]
[tex]=> x = 0[/tex]
2) [tex]9x^2(4x + 3) = 0[/tex]
Divide both the sides by 9x²[tex]=> \frac{9x^2(4x + 3)}{9x^2} = \frac{0}{9x^2}[/tex]
[tex]=> 4x+3 = 0[/tex]
Substract both the sides from 3[tex]=> 4x+3 -3 = 0 - 3[/tex]
[tex]=> 4x=-3[/tex]
Divide both the sides by 4[tex]=> \frac{4x}{4} = \frac{-3}{4}[/tex]
[tex]=> x = -\frac{3}{4}[/tex]
3. Create three quadratic equations that has one real solution.
Three quadratic equations that have one real solution are show below:
5x^2+3x^3+3^4 = 55
5x^2+3x^3+3^7 = 55
5x^2+3x^3+3^8 = 55
Hector is finding the volume of a cone and the volume of a cylinder. Both the cone and the cylinder have a radius of 3 inches and a height of 5 inches. What is the volume, in cubic inches, of the cone?
Answer:
the volume of the cone is
15in^3
Step-by-step explanation:
Step one:
parameters of the cone
radius r = 3 in
height h= 5 in
Step two:
the expression for the volume of the cone is
V= 1/3πr^2h
substitute
[tex]V= 1/3*3.142*3^2*5\\\\V=1/3*45\\\\V=15 in^3[/tex]
evaluate the following surds √2+√5
Answer:
The answer of the addition is;
√2+√5
Step-by-step explanation:
Here, we want to evaluate the given sure
Basically, we want to add the two surds together
In the case of this question, since they have nothing in common, the addition of both will give the same results
Thus;
√2+√5 = √2+√5
What is the constant for 5c2+7d
Answer:
2
Step-by-step explanation:
5 and 7 are the coefficients if you need them
Algebra 1 Honors
BUSINESS a printing press valued at $120,000depreciates 12% per year. What will be the approximate value for the printing press in 7 years?
A. $19,200 B. $265,282 C. $49,041 D. $55,728
Answer:
19200
brainliest if correct
Explanation
12% of 120,000 = 14400
14400x7 = 100800
120,000 - 100800 = 19200
The tens digit is twice the units digit. Reverse the digits, add 2 and the new number is 34 less than the original number. Find the original number.
Answer:
Step-by-step explanation: X and Y represent the digits.
The tens digit is twice the units digit.
The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.
10x +y 10y +x are Original & Reversed numbers
X = 2y means the Tens digits is twice the units digit.
10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.
Substitute 2y for x to solve for y
10y +2y +2= 10(2y) + y -34
Distribute and combine like terms
12y + 2 = 20y +y - 34
34 +2 = 21y -12y
36 = 9y Divide both sides to find the value of y.
4 = y
X = 2(4) Substitute 4 for y to find x
X = 8
Original number: 84 Reversed number: 48
Substitute into equation model
48 +2= 84 -34
50 = 50
True!
WILL GIVE BRAINLIEST PLS HELP
Write each of
these ratios in
their simplest form.
A) 3:9 B) 12:36 C) 13:39 D) 71:213
E) 142:213 F)38:57 G) 33:44 H) 31:42
a) 1:3
b) 1:3
c) 1:3
d) 1:3
e) 2:3
f) 2:3
g) 3:4
h) 31:42
Step-by-step explanation:
3:9=1:3
12:36=1:3
13:39=1:3
71:213=1:3
142:213=2:3
38:57=2:3
33:44=3:4
the simplest form of 31:42 is 31:42 because 31 is prime number so we can't divide it.
Help please ASAP please I’ll mark you as brainlister
Answer:
a = 4
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]
hypotenuse = a
opposite = 2√3
adjacent = b
theta = 60°
the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a
[tex] \sin(60) = \frac{2 \sqrt{3} }{a} [/tex]
[tex] \frac{2 \sqrt{3} }{ \sin(60) } = a[/tex]
[tex]4 = a[/tex]
[tex]a = 4[/tex]
Which one is correct please hurry..the audio is just reading the question
Answer:
3/29
Step-by-step explanation:
Step-by-step explanation:
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PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
SHOW YOUR WORK
Answer: 38
Step-by-step explanation:
3.8=19/5
u have to flip the reciprocal to divide by fraction so 1/10 will be just 10
Then u get 19/5 x 10
You can reduce the GCF so it would be 19 x 2
19 x 2 = 38
Or you can plug it into your calculator (3.8 x .1)
Which of the following best describes the slope of the line below?
Answer:
c.positive
Step-by-step explanation:
4 km
3 km
What is the length of the hypotenuse?
Answer:
5
Step-by-step explanation:
a^2 +b^2 = c^2
4^2 +3^2 =c^2
16 + 9 =c^2
25= c^2
5=c
4) [59, 59,59,59,100,89,80,89] Find The Median and The mode
Translate the sentence Into an equation.
Twice the difference of a number and 9 equals 7.
Use the variable b for the unknown number.
Answer: b - 9 = 7.
Step-by-step explanation:
Examine the following diagram:
Line c intersects lines a and b. Line d intersects lines a and b.
In the diagram, line c is a transversal of lines a and
.
Answer:
b
Step-by-step explanation:
i just took it on edge
Line c is a transversal of lines a and b. The blank space filled by b
According to the question blank statement is to be filled.
Line c intersects lines a and b. Line d intersects lines a and b
In the diagram, line c is a transversal of lines a and _____
A line is the shortest distance between two points or a straight curve with zero deflection in it.
Here,
If c intersects line a and line b, then line c is the transversal line for both a and b.
Thus, line c is a transversal of lines a and b.
Learn more about the line here:
https://brainly.com/question/2696693
#SPJ2
What is the value of x? (-8x = 24) - 6x +18 - 122
Enter your answer in the box X=
Answer:
the value of x in x? (-8x = 24) - 6x +18 - 122 is x=40
Hope you do good :)
Find the value of x in the isosceles triangle
Step-by-step explanation:
Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.
x = 8sin60° = 6.928 or sqrt48.
That is a question about triangles.
In my answer I will show 2 ways to solve that question, ok? Let's go.
First way - Pythagoras's theoremThe line segment x divide the biggest triangle in 2 equals right triangles.
Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.
The Pythagoras's theorem says that:
[tex]\boxed{a^2 = b^2 + c^2}[/tex]
a is the hypotenuse and b and c are cathetus.
So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:
[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]
Therefore, the value of x is [tex]4\sqrt{3}[/tex].
Second way - The equilateral triangle heightThat way to solve the question is a consequence of the previous way.
That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:
[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]
h is the height and S is the triangle's side.
So, we know that the side of our triangle is 8. Let's change S value in the expression:
[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]
Thus, the value of x is [tex]4\sqrt{3}[/tex].
Note that in the 2 ways we find the same result, so that answer is correct.
I hope I've helped. :D
Enjoy your studies! \o/
The formula for the area of a trapezold with altitude k and bases m and n is A=k/2(m+n)
Solve for m.
Answer:
[tex]m=\frac{2A-kn}{k}[/tex]
Hence, option C is true.
Step-by-step explanation:
Given the expression
[tex]A=\frac{k}{2}\left(m+n\right)[/tex]
Solving for 'm'
[tex]A=\frac{k}{2}\left(m+n\right)[/tex]
Flip the equation
[tex]\frac{k}{2}\left(m+n\right)=A[/tex]
Expanding by applying the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]
[tex]\frac{1}{2}km+\frac{1}{2}kn=A[/tex]
Add (-1)/2 × kn to both sides
[tex]\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A[/tex]
simplify
[tex]\frac{1}{2}km=-\frac{1}{2}kn+A[/tex]
Divide both sides by k/2
[tex]\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}[/tex]
[tex]m=\frac{2A-kn}{k}[/tex]
Therefore,
[tex]m=\frac{2A-kn}{k}[/tex]
Hence, option C is true.
A standard die is rolled twice find each probability.
Answer:
1/6
Step-by-step explanation:
Because u have a 1/6 chance of getting any of the numbers
anyone knows the answer ?
Answer:
yes
Step-by-step explanation:
Marcus is building a fence around his rectangular backyard. The length of his backyard is
75
3/4
ft, and the width is
81
1/4
ft. If the fence is
3/4
finished, how much fencing is left to complete?
Answer:
4,923.75ft²
Step-by-step explanation:
The area of the backyard = Length * width \
Area of the backyard = 75 3/4 * 81 1/4
Area of the backyard = 303/4 * 325/4
Area of the backyard = 6,154.6875ft²
If 3/4 of the fence is finished, the area of the finished part is expressed as;
Finished part = 1/5 * 6,154.6875
Finished part = 1,230.9375ft²
Part left unfinished = 6,154.6875-1,230.9375
Part left unfinished = 4,923.75ft²
Answer:235.5
Step-by-step explanation:
75 3/4= 75.75 (L). 81 1/4= 81.25 (W)
Perimeter= 314 3/4 of 314 is 235.5
The library is 6 miles east of the city hall. The mall is 10 miles west of the library. How far and in what direction is the mall from the city hall? A. 16 miles west B. 16 miles east C. 4 miles west D. 4 miles east
Answer:
b
Step-by-step explanation:
Answer:
4 miles west
Step-by-step explanation:
Solve for x:
2x + y = -2
4x + y = -8
Answer:
x = -3
Step-by-step explanation:
2x + y = -2
4x + y = -8
2x + y = - 2
y = -2x - 2
4x + y = - 8
y = -4x - 8
y = -2x - 2
y = -4x - 8
-2x - 2 = -4x - 8
4x - 2x = 2 - 8
2x = -6
2x/2 = -6/2
x = -3
To check just use da graph ;w;
The x is -3
Answer:
Step-by-step explanation:
x= −1 −y/2
x= 4 −8−y/4
Solve for x in the following equation
2^(8x-8)=4^7x
Answer:
-4/3
Step-by-step explanation:
2^(8x-8)=4^7x
2^8x-8=4^7x
2^8x-8=4^2×7x
8x-8=2×7x
8x-8=14x
-8=14x-8x
-8=6x
-8/6=x
-4/3=x
x=-4/3
Select the equation that represents the graph above.
y=x√−2y is equal to square root of x minus 2 , ,
y=x√+2y is equal to square root of x plus 2 , ,
y=x+2y is equal to x plus 2 , ,
y=x+2−−−−−√
Answer:
_
just did the test and got it right its /x + 2
Step-by-step explanation:
just did the test i cant make the simble though but the right answer is the one where the line is only above the x oh wait actually i see your questions know my delete key broke soooo its the 2nd option
round to the nearest tenth
9514 1404 393
Answer:
21.4
Step-by-step explanation:
For this problem, you only need to know that the hypotenuse (x) is the longest side of the triangle. The only answer choice longer than 20 is ...
x = 21.4
__
If you want to actually go through the numbers, you know that ...
Cos = Adjacent/Hypotenuse
cos(21°) = 20/x
x = 20/cos(21°)
x ≈ 21.4
can you help me with this question
Increase 40 by 50%
Answer:
60
Step-by-step explanation:
first you have to find 50% of 40 but multiplying 40 by .5 to get 20. then you add 20 to 40 to get your answer
Answer:
60!
Step-by-step explanation:
100% is 40
to increase that by 50, do 1.5 times 40
the answer to that is 60
Please help me 19 points for whoever answers number 3
Explain why i^3 is equal to i^47? Why
Answer:
i is probably 1.
Step-by-step explanation:
1^3 is equal to 1
1^47 is equal to 1
PLEASE ANSWER QUICK!!! The volume of ammonia in a balloon is now 6.1 L after changing the temperature from 52 °C to 79 °C. What was the original volume?
Answer:
the original volume is 4.0L
Step-by-step explanation:
Step one:
given data
V1= ?
T1= 52 °C
V2= 6.1L
T2= 79° C
Step two
applying the volume temperature relationship, which is
V1/T1= V2/T2
substituting we have
V1/52= 6.1/79
cross multiply we have
52*6.1= V1*79
317.2= 79V1
divide both sides by 79
V1= 317.2/79
V1=4.0L