Which solution finds the value of x in the triangle below?
Answer: B
Step-by-step explanation:
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]
pls solve them all pls
Answer:
Step-by-step explanation:
Hope this helps u !!
Which is NOT a type of federal student aid?
A. Scholarship
B. Student loans
C. Work study
D. Grants
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:
the sum of 3x^2 -8x -2 and 4x -2 is?
Answer:
3x^2−4x−4
Step-by-step explanation:
3x^2−8x−2+4x−2
=3x^2+−8x+−2+4x+−2
3x^2+−8x+−2+4x+−2
=(3x^2)+(−8x+4x)+(−2+−2)
=3x^2+−4x+−4
Answer:
3x^2 + 4x - 4
Step-by-step explanation:
3x^2 - 8x - 2
+ 4x - 2
––––––––––––
3x^2 + 4x - 4
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)
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]
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:
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%
what is this app and why are you reading this
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:
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)
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
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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
I will give BRAINLIEST to the correct answer
Find the measure of
Answer: SOLN,
let,<FHC be x
<GHC+<FHC( sum of angle of triangle=180 degree
x+6m+55+8m+55=180
x+ 14m+110=180
x+14m=180-110
x+14m=70
x=70 divied by 14m
x=5m
therefore,the value of <FHC is 5m.
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:
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
4 x − 3 x + 2 y (simplify)
[tex]\huge\text{Hey there!}\\\\\large\text{4x - 3x + 2y}\\\\\large\text{\underline{\underline{COMBINE the LIKE TERMS}}}\\\\\large\text{(4x - 3x) + 2y}\\\\\large\text{4x - 3x = \bf 1x }\large\text{(or you could simply say \underline{x} because a variable by itself}\\\large\text{is understood as an invisible 1)}\\\\\large\text{\bf x + 2y}\\\\\\\boxed{\boxed{\huge\text{Therefore your answer is: x + 2y}}}\huge\checkmark\\\\\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]
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
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]
0.03249 in standard form to 4 significant figures is
Answer:
3.349 • 10²
I moved the decimal over 2 spots to the left.
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
WILL MARK BRAINILIEST
are the angles corresponding, alternate interior, alternate exterior, or constructive interior
Answer:
1) corresponding
3)corresponding,
5)alternate interior
Step-by-step explanation:
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:
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Semi easy-which boxplot represent the 5 number summary
2kg 300g - 375g help
Answer:1925g=1kg 925g
Step-by-step explanation:
1kg=1000g
2kg=2000g
2kg 300g=2300g
2300-375=1925g=1kg 925g
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.
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]
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
