[tex]\longrightarrow{\green{ x\:=\:12}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](x - 9) \frac{2}{3} = 2[/tex]
[tex]➺ \: (x - 9) = 2 \times \frac{3}{2} [/tex]
[tex]➺ \: x = 3 + 9[/tex]
[tex]➺ \: x = 12[/tex]
Therefore, the value of [tex]x[/tex] is 12.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex](x - 9) \frac{2}{ 3} = 2[/tex]
[tex]➺ \: (12 - 9) \frac{2}{3} = 2[/tex]
[tex]➺ \: 3 \times \frac{2}{3} = 2[/tex]
[tex]➺ \: 2 = 2[/tex]
[tex]➺ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]
Lin decides to solve the equation using the quadratic formula. Here is her work: xxx=−b±b2−4ac−−−−−−−√2a=−(−6)±(−6)2−4(1)(10)−−−−−−−−−−−−−√2(1)=6±36−40−−−−−−√2 Lin knows 36−40 is a negative number and isn't sure what to do next. Show how Lin can write her solution using i.
Answer:
[tex]x = 3 + i\ or\ x = 3 - i[/tex]
Step-by-step explanation:
Given
[tex]x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}[/tex]
Required
Solve, in terms of i
We have:
[tex]x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}[/tex]
Solve the expressions in bracket
[tex]x = \frac{-(-6) \± \sqrt{36 - 40}}{2*1}[/tex]
[tex]x = \frac{-(-6) \± \sqrt{-4}}{2}[/tex]
Express -4 as 4 * -1
[tex]x = \frac{-(-6) \± \sqrt{-4*1}}{2}[/tex]
Split
[tex]x = \frac{-(-6) \± \sqrt{4}*\sqrt{-1}}{2}[/tex]
In complex numbers;
[tex]i = \sqrt{-1[/tex]
So, we have:
[tex]x = \frac{-(-6) \± 2*i}{2}[/tex]
[tex]x = \frac{6 \± 2i}{2}[/tex]
Factorize
[tex]x = \frac{2(3 \± i)}{2}[/tex]
[tex]x = 3 \± i[/tex]
Split
[tex]x = 3 + i\ or\ x = 3 - i[/tex]
Find the median of the following data 20,14,6,25,18,13,19,10,9,12
Step-by-step explanation:
arrangement in ascending order
6,9,10,12,13,14,18,19,20,25
n = 10
median = 10 + 1 )/2 = 5.5 item =( 13 + 14 )/2 = 13.5
Someone please help me ASAP!!
Answer:
B' = (-6,6)
Step-by-step explanation:
The coordinates of B are (-2,2)
If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)
Given ΔUTS with coordinates U(-4,-3), T(-2,1), S(0,-2), rotate the figure 90° Counterclockwise about the origin
Question 8 options:
U'(-2,1) T'(-4,-2) S'(0,0)
U'(4,3) T'(2,-1) S'(0,2)
U'(3,-4) T'(-1,-2) S'(2,0)
U'(-2,-2) T'(0,2) S'(2,-1)
Answer:
U'(3,-4) T'(-1,-2) S'(2,0)
Step-by-step explanation:
Firstly, we need the general rotation method
We have this as;
(x,y) to (-y,x)
So;
U (-4,-3) becomes U’ (3,-4)
T(-2,1) becomes T’(-1,-2)
S(0,-2) becomes S’ (2,0)
ANSWERR ASAP PLSSS PLLSSS I BEGGG YOUUU
Answer:
(5/1)(4-0)-(-5)(-4-3)
Step-by-step explanation:
You could also get an undefined number by putting any number divided by 0.
The perimeter of a rectangle is 84 cm. If the length is 29 cm write an equation you can use to answer this question
Answer:
Width = 13
Equation: 2 × 29 + 2W = 84
Step-by-step explanation:
Ace here!
I'm going to assume that we have to find the width. In a rectangle, there are 4 sides and opposite sides are congruent.
Let L represent the length and W represent the width.
Since there are 4 sides, we know that to find the of a rectangle perimeter, we have to do:
L+L+W+W=Perimeter
Let's first simplify this equation by combining like terms:
2L+2W = Perimeter
Now, let's plug in known values:
2(29) + 2W = 84
Divide everything by 2:
29+W=42
Isolate W:
W=42-29
W=13
Keep in mind, I didn't have to divide by 2 at the step that I had. I could've also done this:
2(29) + 2W = 84
Simplify:
58+2W=84
Bring everything to one side:
2W=26
Isolate W by dividing 2:
W=13
Two different slightly approaches, same answer.
I hope that helped, let me know if you have any questions.
Raffle tickets cost $6 for 5 tickets. What is the price of 1 ticket? How many tickets can you get for $90
Answer:
1 ticket is worth 1.2$
90$ gets you 75 tickets
Step-by-step explanation:
t=ticket(s)
6=5t
6/5=t
90/(1.2)=75
Answer:
1 ticket = $1.2
Step-by-step explanation:
Which solution finds the value of x in the triangle below?
Answer: B
Step-by-step explanation:
Keisha runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?
Answer:
2.4 miles
Step-by-step explanation:
if h(x) =5 for the function h(x) =2x+1 what is the value of x
Answer:
h (x) = 5
h (x) = 2x + 1
h (x) = 2 x 2 + 1 = 5
x = 2
Answer:
x = 2
Step-by-step explanation:
Its given that h(x) = 2x + 1
But its also given that h(x) = 5
[tex]=> h(x) = 2x + 1 = 5[/tex]
[tex]=> 2x + 1 = 5[/tex]
Solve the equation.
Substract 1 from both the sides.[tex]=> 2x + 1 - 1 = 5 - 1[/tex]
[tex]=> 2x = 4[/tex]
Divide both the sides by 2.[tex]=> \frac{2x}{2} = \frac{4}{2}[/tex]
[tex]=> x = 2[/tex]
What is the area of the sector that is not shaded?
0 12 tt units
O 24 tt units?
0 120rt units
O 144rt units?
The area of the sector that is not shaded is 120π units²
Option C is the correct answer
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is pir^2.
We have,
The circle has 360°.
This can be written as,
Area = πr² x 360/360
Now,
The area of the not-shaded part has (360 - 60)°
So,
Area = πr² x 300/360
Now,
r = 12 units
Area = π x 12 x 12 x 300/360
Area = 120π units²
Thus,
The area of the sector that is not shaded is 120π units²
Learn more about circle here:
https://brainly.com/question/11833983
#SPJ7
hey again can u help me with this
Answer:
option C
Step-by-step explanation:
We will take 2 coordinates from the graph and Find the equation of the line.
Let the coordinates be : ( 0, 1) and (1, 3)
step 1 : find slope
[tex]slope , m = \frac{y_2 - y_ 1}{x_2 - x_1} = \frac{3-1}{1-0} = 2[/tex]
Step 2 : equation of the line :
[tex]( y - y_1) = m (x- x_1)[/tex]
[tex](y -1) = 2 ( x -0)\\y - 1 = 2x \\y = 2x + 1[/tex]
Therefore, y = 2x + 1 represent the equation of the line.
Answer:
C
Step-by-step explanation:
You need to solve for y = mx + b
You can solve for b right away. It is clear that the line crosses the y axis at (0,1) so you have
y = mx + 1 so far.
Normally you would need two clear points to solve for m, but since you know the y intercept, you need only 1 point.
The clearest point I can see is (-2,-3) which means that
x = -2
y = - 3
Put that into the equation and solve for m.
-3 = m(-2) + 1 Subtract 1 from both sides
-3-1 = m(-2) Combine
-4 = -2 m Divide both sides by - 2
-4/-2 = m
m = 2
Answer
only a and c are real choices. That's because m = 2 in both cases.
The equation we got is y = 2x + 1 which is c
Write the equation of the line that passes through the points (-8,-1) and (−2,9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
not sure if understood you; slope: (-1-9)/(-8+2)=-10/-6=5/3, y-int: -1-(-40/3)=37/3; y=5/3x+37/3
For what value of k, do the equations 2x – 3y + 10 = 0 and 3x + ky + 15 = 0 represent coincident lines
(a) -9/2
(b) 9/2
(c) 2/9
(d) -2/9
Answer:
b
Step-by-step explanation:
what is this app and why are you reading this
HI I NEED THE ANSWER TO THESE ASAP! I have 5 minutes...
Find the measure of each missing angle
Answer:
Step-by-step explanation:
m3= 29%
m6= 35%
m7= 90%
Which of the following pairs of functions are inverses of each other?
Answer:
do you have a picture or something So I can answer your question?
Step-by-step explanation:
Option-A is accurate because f(x) = 9(x/2)-8 and g(x) = 2(x+8)/9 are the values we get when solving the function.
What is inverse function?A function receives values, performs certain operations on them, and outputs a result. After acting and concurring with the result, the inverse function switches back to the original function.
The inverse function, which also returns the initial value, returns the result of a function.
this selection. Option-A is the proper choice, so
f(x)=9(x/2)-8
consider the f(x)=y
y=9(x/2)-8
y+8=9(x/2)
(y+8)/9=x/2
2(y+8)/9=x
g(x)=2(x+8)/9
As a result, Option-A, which states that when the function is solved, the output is the inverse function, is correct. Its values are f(x) = 9(x/2)-8 and g(x) = 2(x+8)/9.
To know more about inverse function check:
https://brainly.com/question/2541698
#SPJ7
assssssssssssssssssssssssssssssssss
Answer:
15, 9, 3n
Step-by-step explanation:
Just multiply the number of red balls by 3 to get total number, and divide the total number by three to get the number of red balls
Answer:
What math game is this?
Oh and this guy is correct.
Step-by-step explanation:
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating 20% tip on a bill or 67.13
Answer:
$13.4
Step-by-step explanation:
Given that :
Tip percentage = 20%
Amount of bill = $67.13
Rounding the bill Amount to then nearest dollar :
$67.13 = $67
Tip amount = 20% of $67
Tip amount = 0.2 * $67
Tip amount = $13.4
PLZZZ HELLPPPPP!!!!!!!! Simplify: 5!
120 is the correct answer
Answer:
120
Step-by-step explanation:
The ! denotes a factorial, 5! is simply:
5 * 4 * 3 * 2 * 1 = 120
need help ASAP thank you :)
pls solve them all pls
Answer:
Step-by-step explanation:
Hope this helps u !!
Semi easy-which boxplot represent the 5 number summary
Find the gradient of the line y= -4x + 5
Answer:
m = -4
Step-by-step explanation:
The given y= -4x + 5 exactly matches the format of the slope-intercept equation y = mx + b.
Thus, the gradient (slope) of the given line is -4.
WILL MARK BRAINLIEST!!!!!find the length of AC
Answer:
20
Step-by-step explanation:
a²+b²=c²
25²-15²=b²
625-225=b²
400=b²
√400=√b²
20=b
What is the factorization of the trinomial below?
2x2 + 11x + 12
O A. (2x + 1)(x+12)
O B. (2x+3)(x + 4)
O C. (2x + 4)(x+3)
O D. (2x+6)(x + 2)
Answer:
O B. (2x+3)(x + 4)
Step-by-step explanation:
[tex]2x^{2} +11x+12[/tex]
[tex]2x^{2} +8x+3x+12[/tex]
[tex]2x(x+4)+3(x+4)[/tex]
[tex](2x+3)(x+4)[/tex]
Select the correct answer.
A triangle with vertices at A(0, 0), BIO, 4), and C16, 0) is dilated to yield a triangle with vertices at Ato, O), BIO, 10), and C[15, 0). The origin is the center of dilation. What is the
scale factor of the dilation?
OA 1.5
OB.
2
OC. 2.5
OD. 3
Answer:
c. 2.5
Step-by-step explanation:
4×2.5 => 10
6×2.5 => 15
so scale factor = 2.5
i’ll give you what eva you like
Answer:
Number of additional inches= x
Number of additional topping= y
Total cost= 8+1.5(x)+0.75(y)
cost of pizza= 8+1.5x+0.75y-----------------------
hope it helps...
have a great day!!
In the graph above, what's the distance between (0, 2) and (5, 2)? Question 16 options: A) 2 units B) 5 units C) –5 units D) 4 units
Answer:
B) 5 units
Step-by-step explanation:
The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.
What is the distance between two points?It is the measure of distance between the two points and is known as length. The length is measured in meters generally.
Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The two pints are given below.
(0, 2) and (5, 2)
Then the distance between these points (0, 2) and (5, 2) will be given as,
D² = (5 - 0)² + (2 - 2)²
D² = 5²
D = 5 units
The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.
Learn more about the distance between two points here:
https://brainly.com/question/18296211
#SPJ2
Solve c =(a² + 3b)/4 for b.
Bruv take all my points I literally blow at math :'(
Answer:
[tex]b=\frac{4c-a^{2} }{3}[/tex]
Step-by-step explanation:
First: multiply both sides by 4. 4 times c is 4c and the other sides cancels out as you are doing the inverse operation of division
Then, you have [tex]4c=a^{2} +3b[/tex]
Subtract both sides by a squared
DO NOT TAKE THE SQUARE ROOT! This is because it is a squared plus 3b so you have to do the inverse of addition
From that you get [tex]4c-a^{2} =3b[/tex]
Finally, divide both sides by 3.
You get [tex]b=\frac{4c-a^{2} }{3}[/tex]
