[tex]\large\boxed{\tt\:Question}[/tex]
x² - 8x + 12 = 0
Hello meremyj! Here's your answer with explanation.
[tex]\large\boxed{\tt\:Answer\:with\:Explanation}[/tex]
[tex]x ^ { 2 } - 8 x + 12[/tex]
Use the biquadratic formula =》 [tex]x=\frac{-b±\sqrt{\left(-b\right)^{2}-4 ac}}{2}[/tex]
Now,
b = 8 c = 12 a = 1Using the biquadratic formula & substituting the values....
[tex]x=\frac{-\left(-8\right)±\sqrt{\left(-8\right)^{2}-4\times 12}}{2} \\x=\frac{-\left(-8\right)±\sqrt{64-4\times 12}}{2} \\x=\frac{-\left(-8\right)±\sqrt{64-48}}{2} \\x=\frac{-\left(-8\right)±\sqrt{16}}{2} \\x=\frac{-\left(-8\right)±4}{2} \\\underline{\underline{x=\frac{8±4}{2}} }[/tex]
Now, solve when [tex]x=\frac{8+4}{2}[/tex]
[tex]x=\frac{8+4}{2}\\x=\frac{12}{2} \\\boxed{\bf\:x=6 }[/tex]
Now, solve when [tex]x = \frac{8-4}{2}[/tex]
[tex]x = \frac{8-4}{2}\\x = \frac{4}{2}\\\boxed{\bf\:x=2}[/tex]
______________
The value of x can be 6 & 2.______________
Hope it'll help you!
Lucäžž
Just need some help with this one
Answer:
y = -2/3x + 10/3
what is 7a-7b when a-b=5
Answer:
35
Step-by-step explanation:
7a -7b
Let a-b = 5
Factor
7(a-b)
7(5)
35
Answer:
a=5+7b/7
Step-by-step explanation:
7a-7b
a-b=5
7a-7b=5
7a-7b+7b=5+7b
7a-0=5+7b
7a=5+7b
7a=5+7b/7
a=5+7b/7
simplify (3x^2y3)^3 / x3
10.
Identify the vertex of the parabola.
A. (−1, 0)
B. (0, −1)
C. (1, 0)
D. (0, 1)
Answer:
C. (1, 0)
Step-by-step explanation:
1,0 should be the vertex for this parabola
1,0 should be the correct answer
which one is it please do this quick!
Answer:
B
Step-by-step explanation:
The answer is B because Figure JKML is a result of PQRS by a scale factor of 3
You can verify this because the distance from J to K is 6 and the distance from P to Q is 2, from 2 to get to 6 you need to multiply 2 by 3 meaning JKML would be the dilation of figure PQRS by a scale factor of 3
-4y + 12 = -7y + 24
I’ll give Brain whoever solves
PLEASE DO IT STEP BY STEP
Answer:
y - 4
Step-by-step explanation:
subtract 12 from both sides of the equation
4y+12-12= -7y +24 - 12
-4y = -7y +24 - 12
subtract
-4y +-7y + 12
add 7y to both sides of the equation
-4y + 7y = -7y +12 + 7y
simplify
3y + -7y +12 + 7y
combine like terms.
3y = 12
divide
3y/3
=12/3
simplify
y=12 3
y = 4
Answer:
y = 4
Step-by-step explanation:
Given the algebraic equation, -4y + 12 = -7y + 24, the goal is to solve for the value of y by isolating it to either sides of the equation.
Start by adding 7y to both sides of the equation:
-4y + 7y + 12 = -7y + 7y + 24
3y + 12 = 0 + 24
3y + 12 = 24
Next, subtract 12 from both sides:
3y + 12 - 12 = 24 - 12
3y = 12
Divide both sides by 3 to isolate and solve for y:
[tex]\frac{3y}{3} = \frac{12}{3}[/tex]
y = 4
Double-check whether the value of y will provide a true statement if plugged into the equation:
-4y + 12 = -7y + 24
-4(4) + 12 = -7(4) + 24
-16 + 12 = -28 + 24
-4 = -4 (True statement).
Therefore, the value of y = 4.
solve the proportion (someone pls help)
there is a triangle angle 1 is 9x - 8, angle to x + 10, and angle 3x + 2
Answer:
See answer below
Step-by-step explanation:
Finding the measure of each angle.
The sum of the angles in a triangle = 180°
(9x - 8) + (x + 10) + (3x + 2) = 180°
13x + 4 = 180
13x = 180 - 4
13x = 176
x = 176/13
Angle 1 = 9x - 8 Angle 2 = x + 10 Angle 3 = 3x +2
= 9(176/13) - 8 = 176/13 + 10 = 3(176/13) + 2
≈ 113.8° ≈ 23.5° ≈ 42.6°
List negative numbers that are between -103 and -130
Answer:
-104, -105, -106, -107, .... -123, -124, -125, -127, -129
Answer:
-104,-105,-106,-107,-108,-109,-110,-111,-112,-113,-114,-115,-116,-117,-118,-119,-120,-121,-122,-123,-124,-125,-126 ,-127,-128 -129
Please help will mark brainliest
Answer:
u cant be marked
Step-by-step explanation:
u cant be marked
2.1/x+1 4/5=3/10x
what is the Answer?........................................................
Answer:
x=10.03115897…,−0.69782564…x=10.03115897…,-0.69782564…
Step-by-step explanation:
You jog 623 miles around a track each day. If you jogged that distance 4
times last week, how many miles did you jog? in a fraction
Answer:
6 2/3 miles times 4
Step-by-step explanation:
Convert the fraction 2/3 to a decimal
2/3 = .67
6.67 miles times 4 = 26.68 miles
or 6x4= 24
2/3+2/3+2/3+2/3 =8/3 or 2 2/3
2 2/3 +24 =26 2/3 miles
Hope this helps, have a nice day/night! :D
Which represents the solution set of the inequality 5x-9<_21?
O<_12/5
O>_12/5
O x>_6
O x<_6
Answer:
[tex]x\leq 6[/tex]
Step-by-step explanation:
[tex]5x-9\leq 21\\\\5x-9+9\leq 21+9\\\\5x\leq 30\\\\\frac{5x}{5}\leq \frac{30}{5}\\\\x\leq 6[/tex]
Raymond frequently dined at his favorite restaurant, Hungry Hippo. At his most recent visit, he paid his bill. If the bill had been half as much, he would have gotten three times as much change. If the bill had been two dollars more, Raymond would have gotten only half as much change as he actually did get. How much was Raymond’s change?
Raymond's change was $ 4.
Since Raymond frequently dined at his favorite restaurant, Hungry Hippo, and at his most recent visit, he paid his bill, and if the bill had been half as much, he would have gotten three times as much change, while if the bill had been two dollars more, Raymond would have gotten only half as much change as he actually did get, to determine how much was Raymond's change the following calculation must be performed:
1 / 2X = 3Y X + 2 = 1 / 2Y X = Y 2 = 1 / 2Y Y = 2 x 2 Y = 4
Therefore, Raymond's change was $ 4.
Learn more in https://brainly.com/question/7328385
Make each denominator rational. In other words, rationalize the denominator.
A) (√11-1)/√11
B) (3 + √6 )/√6
The detailed answer is there in the image I have attached.
Hope it helps you....
Please mark as Brainlliest!!!!
There were m balloons at the beginning of a party. By the end of the party, 4 of them had popped. Using m, write an expression for the number of balloons that were left. Please help! <3
Answer:
m - 4
Step-by-step explanation:
So, m amount of balloons at the beginning.
When 4 pop, that means there are 4 less than the beginning.
m - 4
Find x special right triangle
Answer:
This is a 45 45 90 triangle, so v=[tex]\sqrt{2}[/tex]. The side opposite the right angle in a 45 45 90 triangle is equal to the length of the other sides * [tex]\sqrt{2}[/tex].
Therefore, u=2, because [tex]\sqrt{2}[/tex]*[tex]\sqrt{2}[/tex]=2. So, your answer is A, 2.
Step-by-step explanation:
Answer:
2
Hope you could understand.
If you have any query, feel free to ask.
How do i find the measure of <2 in this equation?
Answer:
142
Step-by-step explanation:
It is equal to the one above it.
I hope this helps!!
Pls help WILL MARK BRAINLY also 34 POINTS
Answer:
X is 38, y is 27.
Step-by-step explanation:
This is because you are subtracting on the 90 degree angles.
Answer:
The answer is 27 degrees for x, and 38 degrees for y.
Step-by-step explanation:
There are many ways you could do this. The easiest one for me was if you look at the left side of the 180 degree line (CD), you take away 90 (straight angle) from 63, which equals 27 degrees (answer for x). Then, add up all the angles on the left side of the 180 degree line. However, you need to first work out a, which is 180-128=52 degrees. Now you can add them up. 52 degrees (a) plus 27 (m) plus 63 (n) = 142 degrees. Then take away 180 from 142, which equals 39 degrees for y. If you want to check this Add up all your known angle on the left side of the 180 degree line. 52 plus 27 plus 63 plus 38, which equals 180 degrees, which is correct.
Use the example as a model. Simplify the expressions.
t^37=?
i
-i
1
-1
Answer:
Step-by-step explanation:
[tex](\iota)^{37}=(\iota)^{36} \times \iota=[(\iota)^2]^{18}\times \iota=(-1)^{18} \iota=\iota[/tex]
There are about 0.15 million people in Barrie, Ontario,
and 0.4 million people in London, Ontario.
a) How many more people live in London than Barrie?
b) How many times as many people live in London as in Barrie?
no links.
Answer:
a)0.11
b) 3.75
Step-by-step explanation:
a) take 4 away from 15
B) do 15 divided by 4
hope this helps bye if right mark brainlest PLEASE
3.
(03.06)
Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form. (2 points)
f(x) = (x −8)2
f(x) = (x −4)2−13
f(x) = (x −4)2 + 3
f(x) = (x −4)2 + 16
Answer: f(x) = (x −8)2
Step-by-step explanation:
r(m)r(m)r, left parenthesis, m, right parenthesis models the average monthly rainfall (in millimeters) in Tanzania for the years 190019001900-200920092009 as a function of the month number mmm.
Month # Rainfall (millimeters)
111 145145145
222 135.8135.8135, point, 8
333 179.1179.1179, point, 1
444 171171171
555 64.864.864, point, 8
666 12.612.612, point, 6
777 8.48.48, point, 4
888 8.98.98, point, 9
999 15.715.715, point, 7
101010 29.529.529, point, 5
111111 83.883.883, point, 8
121212 142.6142.6142, point, 6
Which number type is more appropriate for the domain of rrr?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Integers
(Choice B)
B
Real numbers
What's the appropriate domain?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
0\le m\le 179.10≤m≤179.10, is less than or equal to, m, is less than or eq
Answer:
Integers
1</ M </ 12
Step-by-step explanation:
Khan Aacademy
Triangle JKL with vertices /(1, -1), K(2, 3), and
L(3,-2) in the line x = 4.
.ب)J
K'.
L'(_
(
The reflection of the triangle JKL across the line x = 4 is equivalent to
equivalent to flipping the preimage across the line x = 4.
The correct coordinates are;
[tex]\underline{J'(7, \, -1)}[/tex]
[tex]\underline{K'(6, \, 3)}[/tex]
[tex]\underline{L'(5, -2)}[/tex]
Reasons:
The given transformation is a reflection about the line x = 4
The points of triangle JKL are J(1, -1), K(2, 3), and L(3, -2), in the line x = 4
The coordinates of the triangle JKL following a reflection across the line x = 4, have the same y-coordinates , while the x-coordinates have the same distance magnitude to the line x = 4, but opposite sign.Distance between x-coordinate of the point J and the line x = 4 is 4 - 1 = 3
Which gives;
Distance between x-coordinate of the point J' and the line x = 4 is 4 + 3 = 7
Therefore, the coordinate of the point J' is [tex]\underline{J'(7, \, -1)}[/tex]
Similarly, we have;
Distance between x-coordinate of the point K and the line x = 4 is 4 - 2 = 2
Distance between x-coordinate of the point K' and the line x = 4 is 4 + 2 = 6
The coordinate of the point K' is [tex]\underline{K'(6, \, 3)}[/tex]
Distance between x-coordinate of the point L and the line x = 4 is 4 - 2 = 2
Distance between x-coordinate of the point L' and the line x = 4 is 4 + 2 = 6
The coordinate of the point L' is [tex]\underline{L'(5, -2)}[/tex]
Learn more here:
https://brainly.com/question/24758871
For the problem -4(-5)(9), will the answer be positive or negative?
Answer:
Positive
Step-by-step explanation:
-4(-5)(9)
Negative cancels out negative, so it makes a positive:
20(9)
Simplify normally to get 180 as your final answer.
3. Which of the following is true for a rigid motion?
A The preimage and the image have the same measurements.
B The preimage is larger than the image.
The preimage is smaller than the image.
D The preimage is in the same position as the image.
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)
(cAt)
x>-6
1st step: 3(x-1)>-15------(3x-3)>-15
2nd step: subtract -3 from -15 which is -18
3rd step: 3x>-18------x>-6
Answer:
x > -4
Step-by-step explanation:
First, distribute the 3 among everything inside the parentheses to get 3x - 3 > -15.
Next, add 3 on both sides to get 3x > -12, then divide 3 on both sides to get x > -4.
Hope this helps :)
Also I love the kitty lol, but what's with the hair tie?
Answer number three and four please
Answer:
Yes (both)Step-by-step explanation:
Let's verify using Pythagorean:
#3 1² + 1² = (√2)² ⇒ 1 + 1 = 2 ⇒ 2 = 2, TRUE#40.3² + 0.4² = 0.5² ⇒ 0.09 + 0.16 = 0.25 ⇒ 0.25 = 0.25, TRUEHailey ordered 12 pizzas for a grade level party. If each person eats 3/8 of a pizza equally, how many people can Hailey feed with 12 pizzas?
Answer:
24
Step-by-step explanation:
The equation P=4s represents the perimeter P of a square with side length s. What is the perimeter of a square with a side length of 5ft ?
The perimeter is.
Answer:
20 feet
Step-by-step explanation:
s= side
P= 4s
I our case, s is 4, so 4*5 is 20.
Hence,
P=20
Hope this helps!