Answer:
x = ±3 sqrt(2)
Step-by-step explanation:
x^2 = 18
Take the square root of each side
sqrt(x^2) = sqrt(18)
x = ± sqrt(18)
x =±sqrt(9*2)
x = ±sqrt(9) sqrt(2)
x = ±3 sqrt(2)
10. SImplify. Write using rational exponents. Be sure to show any work and simplify your answer
Answer:
Step-by-step explanation:
Hope this helps u!!
Is this correct!! Can someone verify!!
test the validity of these statement "if my brother stands first in the class, i give him a watch . Either he stood first or I was out of the station I did not give my brother a watch this time . Therefore I was out of station.
Answer: yeah looks logically correct
Step-by-step explanation: I he got the watch he was 1st
Fact is he didn't get the watch therefore he wasn't first
Therefore 2nd holds true also - if not first then not in station
No watch = not in station
Solve.
5. The graph of f(x)= x is reflected across the x-axis. The graph is then
translated 11 units up and 7 units to the left. Write the equation of the
transformed function.
Given:
The function is:
[tex]f(x)=x[/tex]
The graph of this function reflected across the x-axis. The graph is then translated 11 units up and 7 units to the left.
To find:
The equation of the transformed function.
Solution:
The translation is defined as
[tex]g(x)=kf(x+a)+b[/tex] .... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If k<0, then the graph is reflected across the x-axis.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The graph of this function reflected across the x-axis. The graph is then translated 11 units up and 7 units to the left. So, [tex]k=-1, b=11, a=7[/tex]. Putting these value in (i), we get
[tex]g(x)=(-1)f(x+7)+11[/tex]
[tex]g(x)=-(x+7)+11[/tex] [tex][\because f(x)=x][/tex]
[tex]g(x)=-x-7+11[/tex]
[tex]g(x)=-x+4[/tex]
Therefore, the required function is [tex]g(x)=-x+4[/tex].
what is the answer? becuase i am just confused
Answer:
Step-by-step explanation:
radius of circle is 12
also there is 2 right angles in the triangle if you wanted to solve this problem yourself
but here's the answer:
arc angle of the triangle inside the sircle is double the angle closest to x.
(the pointy area of the triangle is half the angle length of the arc)
i can add more though:
Please help first correct will get brainliest. JKL PQR find the value of x
Answer:
x = 30
Step-by-step explanation:
If two triangle are similar then the measure of their corresponding sides are
proportional.
[tex]\frac{JL}{PQ} = \frac{JK}{PR}\\\\\frac{20}{x} = \frac{24}{36}\\\\x \times 24 = 20 \times 36[/tex] [tex][ \ cross \ multiply \ ][/tex]
[tex]x = \frac{20 \times 36}{24}\\\\x = 5 \times 6 = 30[/tex]
write the set builder form of
{1, 1/4, 1/9, 1/16, 1/25}
Find the side length for the missing side length of 12) and 13). And solve for x on 14) and 15)
Answer:
12) A
the values are each devided by three then multiplied by 4
13) C
values are 4 times as big as in the right figure
14) and 15) two thirds of the value in the left figure. the rotation is just to disorient you a lil :D just keep the 90° angle as a reference point
x is option A
and y is option C
Juan has 2 1/4 L of fruit purée Juan uses 3/8 leader from pier to make once movie which expression can be used to find the number of movies you can make
Answer:
See explanation
Step-by-step explanation:
Total fruit purée = 2 1/4 L
purée for One movie = 3/8 L
which expression can be used to find the number of movies you can make
Number of movies you can make = Total fruit purée ÷ purée for One movie
= 2 1/4 ÷ 3/8
= 9/4 ÷ 3/8
= 9/4 × 8/3
= (9*8) / (4*3)
= 72 ÷ 12
= 6
Number of movies you can make = 6
A-which temperature is warmer, -2 degrees Celsius or, -5 degrees Celsius B-Write and inequality to express the relationship between -2 and -5
Answer:
Step-by-step explanation:
On a number line, -2 appears to the right of -5, and therefore -2 is warmer than -5. (Answer A)
The difference between -2 and -5 is -2 - (-5) = 5 - 2 = 3 degrees C (Answer B)
In other words, -2 is 3 degrees C warmer than -5 degrees C.
Please help me i'm struggling!
Answer:
c
Step-by-step explanation:
Answer:
x is greater than or equal to 3
So it is the first answer.
hey, this is the last thing I'm asking help with today.thank you
Answer:
A
Step-by-step explanation:
the middle angle has to be equal to make the entire angle equal
Which expression can be used to find 80% of 120?
80% of 120
20%
20%
20%
20%
20%
Answer:
96
Step-by-step explanation:
80*120=9600 divided by 100
2) If a = 6 feet and b = 8 feet, what is the measure of c?
6 feet
8 feet
10 feet
14 feet
An attachment would help. Assuming this is the Pythagorean theorem, c would be 10 feet. (6)^2 + (8)^2 = 100 -----> √100 = 10
Hallar el menor número no divisible por 4, 6, 9, 11 y 12, tal que al dividirlo por estos números se obtengan restos iguales.
Answer:
397
Step-by-step explanation:
Sea 'p (x)' el número que no es divisible por 4, 6, 9, 11 y 12 de manera que cuando se divide por estos números da un resto igual, tenemos;
Por teorema del resto, tenemos;
p (x) = (x - a) · Q (x) + R
Dónde;
p (x) = El número, que se divide
Q (x) = El cociente
(x - a) = El divisor
R = El resto
Dado que el número más pequeño es 4, el resto, 0 <R <4
Para el número entero más pequeño arriba (x - a) · Q (x), tenemos;
R = 1
Observamos que el mínimo común múltiplo de 4, 6, 9, 11 y 12 = 396, por lo tanto, podemos tener;
(x - a) · Q (x) = 396
R = 1, dar;
p (x) = 396 + 1 = 397
Por lo tanto;
El número que no es divisible por 4, 6, 9, 11 y 12, de manera que cuando se divide por estos números da residuos iguales, p (x) = 397
What is the greatest common factor of 42, 30, and 45
Answer:
3
Step-by-step explanation:
Express the numbers as a product of their primes.
42 = 2 × 3 + 7
30 = 2 × 3 × 5
45 = 3 × 3 × 5
Identify the prime factors common to all 3 numbers.
common prime factor = 3 , thus
GCF = 3
Answer: 3
Step-by-step explanation: The factors of 30 are 1. 2. 3. 5. 6. 10, 15, 30
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The factors of 45 are 1, 3, 5, 9, 15, 45
As you can see they all share the factors of 1 and 3. Since 3 is the greatest number of the factors all of them share it is the greatest common factor.
help please! the question is in the picture below for reference when answering! thank you so much!
Answer:
101°
Step-by-step explanation:
In the rightmost triangle the missing angle is:
180° - 51° - 90° = 39° . 90° comes from the other angle in the straight horizontal line, because there is a 90° on the other side
In the leftmost triangle, the missing angle is:
180° - 90° - 50° = 40° . 50° comes from 180° - 130°
In the straight line
ABC = 180° - 40° - 39° = 101°
Answer = 101°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
6.
Determine the range of the following test scores.
History Test 2 Scores (out of 100)
95
92
89
88
85
85
84
80
78
73
72
72
70
68
67
62
59
52
40
32
a.
95
b.
32
72
c.
d.
63
Answer:
63 is the range of the following test scores.
Step-by-step explanation:
1. The largest number is 95.
2. The smallest number is 32.
3. The range is the difference between the largest and the smallest number.
4. Subtract 95 - 32 which equals 63.
5. 63 is the range of the following test scores.
The width of classroom is 4 meters less than the length, and the area is 192m^2. If the length is x m, find an equation in x and hence, find the dimensions of the classroom
Step-by-step explanation:
x(x-4) = 192
the Equation:
x²-4x -192 =0
=> (x-16) (x+12) =0
x= 16 or x= -12
since the x should be a possitive, so x = 16
the dimension :
the length = 16 m
the width = 12 m
Would appreciate any assistance
Answer:
The answer is 37
Step-by-step explanatio
Which expression is equivalent to the expression below? 4 x 2/3 A.
A. 6 x 1/3
B.10 x 1/3
C. 2 x 1/3
D. 8 x 1/3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{4\times \dfrac{2}{3}}[/tex]
[tex]\huge\textbf{Simplifying it:}[/tex]
[tex]\mathbf{4\times \dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{4}{1}\times\dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{8}{3}}[/tex]
[tex]\rightarrow\large\text{Finding out what is equal to: }\rm{\dfrac{8}{3}}\leftarrow[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\huge\text{Option A.}[/tex]
[tex]\mathbf{6\times \dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{6}{1}\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{6\times1}{1\times3}}[/tex]
[tex]\mathbf{= \dfrac{6}{3}}[/tex]
[tex]\mathbf{= 2}[/tex]
~~~~~
[tex]\rm{\bf 2 \neq \dfrac{8}{3}}[/tex]
~~~~~~
[tex]\huge\text{Option B.}[/tex]
[tex]\mathbf{10\times \dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{10}{1}\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{10\times1}{1\times 3}}[/tex]
[tex]\mathbf{= \dfrac{10}{3}}[/tex]
~~~~~~
[tex]\rm{\bf \dfrac{10}{3} \neq \dfrac{8}{3}}[/tex]
~~~~~~
[tex]\huge\text{Option C.}[/tex]
[tex]\mathbf{2\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{2}{1}\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{2\times1}{1\times3}}[/tex]
[tex]\mathbf{= \dfrac{2}{3}}[/tex]
~~~~~
[tex]\rm{\bf \dfrac{2}{3} \neq \dfrac{8}{3}}[/tex]
~~~~~
[tex]\huge\text{Option D.}[/tex]
[tex]\mathbf{8\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{8}{1}\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{8\times1}{1\times3}}[/tex]
[tex]\mathbf{= \dfrac{8}{3}}[/tex]
~~~~~
[tex]\rm{\dfrac{8}{3} = \dfrac{8}{3}}\large\checkmark[/tex]
~~~~~
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{Option\ D. 8\times \dfrac{1}{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?
Answer:
[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]
Step-by-step explanation:
[tex]2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c = - 3 \\\\x = \frac{-b^2\ \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\[/tex]
[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]
Write an equation of the line that passes through the point (2, -3) and has a
slope of -1.
Answer:
Y = -1x - 1
Step-by-step explanation:
I used desmos graphing calculator and tried until I got a line that worked. It passes through (2, -3) and has a slope of -1
Hope this helped :)
Find the volume of a right circular cone that has a height of 20 ft and a base with a
radius of 9.1 ft. Round your answer to the nearest tenth of a cubic foot.
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer: 3 7/12
Step-by-step explanation:
1. Solving the whole number
4-1=3
2. Solving the fraction parts
3/4 - 1/6=
Find the LCM. The LCM is 12 so we rewrite the factions like this:
9/12-2/12=7/12
3. Add.
3+ 7/12= 3 7/12
Hey there!
4 3/4 - 1 1/6
= 19/4 - 7/6
= (19 × 6) - (7 × 4) / 4 × 6
19 × 6 = 114
7 × 4 = 28
= 114 - 28 / 4 × 6
4 × 6 = 24
114 - 28 / 24
114 - 28 = 86
= 86/24
= 3 7/12
Answer: 86/24 OR 3 7/12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
find the time in which a train of length 132 M will cross and electric post if the speed of the train be to 6.4 km /hour
Answer:
It will take the train 1.2375 minutes to pass the tunnel
Step-by-step explanation:
Mathematically, we know that ;
time = distance/ speed
The distance here is the length of the train which is 132 m ; we can convert this to km by dividing by 1000
We have this as 132/1000 = 0.132 km
So, we have the time as;
0.132 km/6.4 km/hr = 0.020625 hr
Mathematically, we know that 60 minutes make an hour;
so we have
0.020625 * 60 = 1.2375 minutes
The graph of a function is a parabola that has a minimum at the point (-3,9). Which equation could represent the function?
Well there are no choices listed so it's going to be hard to say which; we'll write an expression for all of them and then give a few instances.
A parabola with a minimum forms a CUP, concave-up positive, meaning the coefficient a on x² must be positive, a>0.
The general form with vertex (p,q) is
y = a(x-p)² + q
So for us, all our parabolas are of the form
y = a(x- -3)² + 9
y = a(x² + 6x + 9) + 9
y = ax² + 6ax + 9(a+1)
That's the general form for a parabola with vertex (-3,9); a>0 assure the parabola has a minimum at the vertex.
Some instances:
a=1 gives
Answer: y = x²+6x+18
a=4 gives
y = 4x² + 24x + 45
Other positive as give other possible answers; without the choices it's impossible to know which one they're seeking.
solve the following the unknown -3(×+1)-2=4×-5(×-3)
Answer:
x = - 10
Step-by-step explanation:
Expand the equation first then simplify it
Please help me‼️
Question: select all the equations that can be represented by a straight line when graphed on the coordinate plane
Answer:
B, D, EStep-by-step explanation:
Straight line equation is in the form of:
ax + by = cLets verify the options:
A- no, simplified, it is 1 + xy = 9xB- yesC- no, because of y²D- yesE- yesF - no, simplified it is a quadratic equationif x2+1/x2=27 find the value of x3+1/x3can anyone answer this, please
Step-by-step explanation:
x2+1/x2=27
x2+1=27x2
1=26x2
x2 = 1/26
x = √(1/26)
x3+1/x3 = (√(1/26))^3 + 1 / (√(1/26))^3
x3+1/x3 = 134
Please find attached photograph for your answer