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what is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
x^2- 6x=-156
Step-by-step explanation:
[tex] \\ x ^{2} - 6x = - 156 \\ x ^{2} - 6x + 9 = - 147 \\ (x - 3) ^{2} = - 147[/tex]
The completing the square for the given equation is (x-3)²= -147.
What is completing square method?Steps
Step 1: Divide all terms by a (the coefficient of x2).
Step 2: Move the number term (c/a) to the right side of the equation.
Step 3: Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
The given equation is x²-6x=-156.
By completing square method,
b/2 = -3
⇒ (b/2)²=9
Now, add and subtract 9 to x²-6x=-156, we get
x²-6x+9-9=-156
⇒ (x-3)²=-156+9
⇒ (x-3)²= -147
Therefore, the completing the square for the given equation is (x-3)²= -147.
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Point Lis a centroid of the triangle FWD, If RL = 54 cm, what is RD?
O 81 cm
O 162 cm
O 100 cm
O 58 cm
Answer:
RD = 162 cm
Step-by-step explanation:
LD = 2 RL = 2* 54 = 108
RD = RL + LD
RD = 54 + 108
RD = 162 cm
The length of RD is 162 cm if Point L is a centroid of the triangle FWD, If RL = 54 cm option (B) is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have:
Point L is a centroid of the triangle FWD, If RL = 54 cm
From the centroid definition:
LD = 2RL
LD = 2×54 = 108 cm
RD = RL + LD
RD = 54 + 108
RD = 162 cm
Thus, the length of RD is 162 cm if Point L is a centroid of the triangle FWD, If RL = 54 cm option (B) is correct.
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If ray ST bisects ∠RSU and m∠TSU=43°, find m∠RSU.
Answer: 86 degrees
Explanation:
Angle TSU is formed when we bisect angle RSU. Recall that bisect means to cut in half. So TSU is half of RSU. Put another way, RSU is twice that of TSU.
angle RSU = 2*(angle TSU)
angle RSU = 2*43
angle RSU = 86
Which two points should the line of best fit go through to best represent the data in the scatterplot?
Given : A graph with points (1, 3), (2, 7), (3, 8), (4, 11), (5, 12), (6, 13).
To find : From Which two points the line of best fit goes through
Solution:
(3, 8) & (5, 12) will be two points
as then line points will be
( 1 , 4 ) , ( 2, 6) , ( 3 , 8 ) , ( 4, 10) , (5 . 12) & ( 6 , 14)
(1, 3) will be below ( 1 , 4 )
(2 , 7) will be above ( 2 , 6)
( 3 , 8 ) will be on line
(4 , 11 ) will be above ( 4 , 10)
( 5 , 12 ) will be on line
( 6 , 13) will be below ( 6 , 14 )
(1, 3) & ( 6 , 13) two points are below line
(2 , 7) & (4 , 11 ) two points above line
Hence points are Equally scattered above & below line
Hence (3, 8) & (5, 12) will be two points on line of best fit
Hope it helpss !!
The two points which the line of best fit go through to best represent the data in the scatter plot is Option A.
The points which satisfies the line is A ( 2 , 7 ) and B ( 1 , 3 )
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation be A
Let the two points be A and B
where the point A is A ( x₁ , y₁ ) = A ( 2 , 7 )
The point B ( x₂ , y₂ ) = B ( 1 , 3 )
Now , the equation of line is given by
y - y₁ = m ( x - x₁ )
The slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
m = ( 7 - 3 ) / 2 - 1 )
m = 4
The equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 7 = 4 ( x - 2 )
y - 7 = 4x - 8
y = 4x - 1
The equation of line is y = 4x - 1
So , the points which satisfies the line is A ( 2 , 7 ) and B ( 1 , 3 )
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Help me pleaseeeeee!!!!!
Answer:
A
Step-by-step explanation:
Jaxon was asked 40 questions on a test he answered 80% incorrectly how many did he get correct
Answer:
8 correct.
Step-by-step explanation:
80 / 100 = x / 40 (Since he got 80% INCORRECT you will subtract the value of x from 40)
100x = 80 x 40
x = 3200 / 100
x = 32
40 - 32 = 8
help me plz. i would appreciate it.
5+5= what pllease help!!!!!!!!!!!! 10 points!
PLZ HELP! THIS IS THE LAST QUESTION! 75 PTS!!
Answer:
its b or d
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
can someone please help me with this question
Answer:
16 the answer
Step-by-step explanation:
I give Brainliest!!
Using Angle Side Relationship Theorem, use the angle measures to list the side lengths of the triangle in order from longest to shortest. (First you must find the value of angle
AB BC AC
Answer:
side BCside ABside ACStep-by-step explanation:
list the side lengths of the triangle in order from longest to shortest
from the given triangle.
find angle A∠A = 180 - 65 - 30
∠A = 85
angle side relationship theorem:
In a triangle, the side opposite the larger angle is the longer side
∠A = 85 = side BC∠C = 65 = side AB∠B = 30 = side ACThe Dallas cowboys have lost 25% of their games, if they played 36 games how many have they lost
Answer: They have lost 9 games
Step-by-step explanation:
25 percent is 1/4 and do 36 divided by 4=9
7. Solve the inequality.
4(x + 3) - 7 ≥ x + 3(x + 1) *
A. x<5
B. x > 3
C. no solution
D. all real numbers
Answer:
d) all real numbers
Step-by-step explanation:
Answer:
D. all real numbers
Step-by-step explanation:
4(x + 3) - 7 >= x + 3(x + 1)
4x + 12 - 7 >= x + 3x + 3
4x + 5 >= 4x + 3
5 >= 3 which is correct
so the solution are all real numbers.
I hope this helps you :)
La ciudadde osaka japon se encuentra a (9x10 elevado a 6 )+ (6x10 elevado a 5)+ (8x10 elevado a 3+ (8x10 elevado a 2)+ 7x10 de milan italia
a) expresa los datos en kilometros
b)¿ que distancia habra recorrido un avion q salio de milan a osaka y se encuentra aun tercio de su destino???
Answer:
A
Step-by-step explanation:
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
okaaaay. this is 10 units to the y axis...
Step-by-step explanation:
What is the mode of the following numbers? 12, 11, 14, 10, 8, 13, 11,9
Answer:
11 is the mode
Step-by-step explanation: it appears the most
science pls help I give brainliest
Answer:
rain
Step-by-step explanation:
its in the picture
HELP I ONLY HAVE 5 MIN TO TURN THIS IN!!!!!!!!!!!
What are the simplified versions of the expressions shown below
WILL MARKBRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
see below
Step-by-step explanation:
1. (x² - 4x - 10) + (x² - 9x + 3)
= x² - 4x - 10 + x² - 9x + 3
= x² + x² - 4x - 9x + 3 - 10
= 2x² - 13x - 74. (3x² - x + 1) + (15 - 9x - 2x²)
= 3x² - x + 1 + 15 - 9x - 2x²
= 3x² - 2x² - x - 9x + 1 + 15
= x² - 10x + 167. (6 - 2x + 7x²) - (10x - 3 + 3x²)
= 6 - 2x + 7x² - 10x + 3 - 3x²
= 7x² - 3x² - 2x - 10x + 6 + 3
= 4x² - 12x + 9get correct for brainleist!
Answer:
the tird one
Step-by-step explanation:
the asking you like for the number who repeat I hope it help if need more explanation tell me
Parallel lines have_slopes. Perpendicular lines have_ _ slopes
AnswerStep-by-step explanation:
Parallel and Perpendicular Lines. Parallel lines have the same slope and will never intersect. ... On the other hand, the slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 deg
what number is it on for the answer?
Answer:
um i cant answer this cuz there no question here
What is the correct order of the steps used to derive the identity?
A.) 4, 3, 5, 1, 2
B.) 4, 5, 3, 1, 2,
C.) 3, 4, 5, 1, 2
D.) 3, 4, 1, 5, 2
The correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2
How to determine the correct order of step?The trigonometry identity is given as:
tan(2x)
When the tangent formula is applied, we have:
[tex]\tan(2x) = \frac{\sin(2x)}{\cos(2x)}[/tex] --- step 4
Expand sin(2x) and cos(2x)
[tex]\tan(2x) = \frac{2\sin(x)\cos(x)}{\cos^(x) - \sin^2(x)}[/tex] --- step 3
The option from the list that obey the above order is (a) 4, 3, 5, 1, 2
Hence, the correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2
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Answer:
A). 4,3,5,1,2
Step-by-step explanation: on edge
Is the following relation a function?
Need answer now
If you can draw a vertical line through more than one point on the curve, then it's not a function. In this case, we can draw such a line. The graph is said to have failed the vertical line test.
What this means is that some x inputs lead to more than one y outputs. A function is only possible if any x input leads to exactly one y output. The x input must be in the domain.
Answer:
It is not a function.
Step-by-step explanation:
A relation's inputs are not repeated in a function.
Since the graph fails the vertical line test, it is not a function.
See picture.
Hope this helps.
A student earns $70 over the summer. He spends 1 fraction of 5of the total amount on movies. He then spends 1 fraction of 2 of the remaining money on school clothes.
The Pie Arsquare Bakery sold 869 pies during the month of January. What was the mean number of pies sold per day? (Hint: how many days are in January) Round to the nearest tenths.
Answer:
28
Step-by-step explanation:
divide 869 by the number of days in January
What happens when there is an unbalanced force acting?
This is for science
I need to solve 11-20 ASAP pls
6x^2 – 13x + 6 = 2x^2 solve using quadratic formula
Answer:
[tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define equation
6x² - 13x + 6 = 2x²
Step 2: Rewrite in Standard Form
Subtract 2x² on both sides: 4x² - 13x + 6 = 0Step 3: Define
a = 4
b = -13
c = 6
Step 4: Solve for x/roots
Substitute: [tex]x=\frac{13\pm\sqrt{(-13)^2-4(4)(6)} }{2(4)}[/tex]Exponent: [tex]x=\frac{13\pm\sqrt{169-4(4)(6)} }{2(4)}[/tex]Multiply: [tex]x=\frac{13\pm\sqrt{169-96} }{8}[/tex]Subtract: [tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]And we have our final answer!
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8500 ft, the liquid boils at 199.55 F. At an altitude of 4300 ft, the liquid boils at 206.69 F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at ft?
Answer:b = -0.0013a + 211
Step-by-step explanation:
Since the relationship is linear, we can use a linear equation. The formula in slope-intercept form is .
As the question specifies to use a for altitude and b for boiling point, change the variables equation to
b is the boiling point.
m is the slope.
a is the altitude.
c is the y-intercept.
To find the slope, we can use the equation except x is a and y is b.
The sets of information given are:
8500 ft, the liquid boils at 199.95° (This can be info set 1)
4300 ft, the liquid boils at 205.41° (This can be info set 2)
Substitute the info sets into the equation. The subscripts mean which info set to get the numbers from.
m = -0.0013
Find the y-intercept by substituting m = -0.0013 and a random info set. I will use info set 1. Isolate c, the only variable.
b = ma + c
199.95 = (-0.0013)(8500) + c <= Simplify
199.95 = -11.05 + c
199.95 + 11.05 = -11.05 + 11.05 + c <=add 11.05 on both sides to isolate c
c = 211 <= y-intercept
Put the y-intercept and slope into the equation of a line:
b = ma + c
b = -0.0013a + 211 <= This is the equation for the problem.
I need help fast!
John bought some Nikes at Foot Locker. They were $289.89 and he got them on sale for 20% off.
1. What was the amount of the discount?
2. What did he pay for the Nikes?
Sam bought the same pair at another chain. His were $299.99 and 25% off.
3. What was Sam's discount/savings on his shoes?
4. What did he pay after the savings?
5. Who got the better deal? And by how much?
Answer:
John:discount was57.978, he paid231.912
Sam:discountwas74.9975, he paid 224.9925
Step-by-step explanation:
28.989=10
57.978 =20 100%-20%= 231.912
29.999=10%
14.9995=5% 10%×2 + 5%=74.9975 100%-25%