Answers
Answer:
[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex] -- Perfect square trinomial
[tex](n + \frac{1}{3})^2 = \frac{1}{9}[/tex] ---Binomial squared
Step-by-step explanation:
Given
[tex]n^2 + \frac{2n}{3}[/tex]
Solving (a): Perfect square trinomial
We have:
[tex]n^2 + \frac{2n}{3}[/tex]
Express as an equation
[tex]n^2 + \frac{2n}{3} =[/tex]
Start----------------------------
Take coefficient of n i.e. (2/3)
Half it: i.e. (1/3)
Square it: (1/63^2
Add to both sides of the equation
---------------------------End
So, we have:
[tex]n^2 + \frac{2n}{3} + (\frac{1}{3})^2 = (\frac{1}{3})^2[/tex]
Remove brackets
[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]
Solving (b): Binomial Squared
[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]
Expand
[tex]n^2 + \frac{n}{3}+ \frac{n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]
Factorize:
[tex]n(n + \frac{1}{3})+ \frac{1}{3}(n + \frac{1}{3}) = \frac{1}{9}[/tex]
Factor out n + 1/3
[tex](n + \frac{1}{3})(n + \frac{1}{3}) = \frac{1}{9}[/tex]
Express as square
[tex](n + \frac{1}{3})^2 = \frac{1}{9}[/tex]
Related Questions
find perimeter of each polygon. Assume that the lines which appear to be tangent are tangent. Part 1. NO LINKS OF ANY KIND.
Answers
9514 1404 393
Answer:
7) 57.8
8) 73.8
Step-by-step explanation:
The tangents from a given point are the same length. This means the perimeter can be calculated as twice the length of one side plus twice the length of an opposite tangent.
7) P = 2(22.2 +6.7) = 57.8
8) P = 2(22.9 +14) = 73.8
 PLEASE HELPPPPP ME PLEASE I DONT KNOW WHAT TO DO ☹️#7
Answers
Given:
The function is:
[tex]f(x)=-2x+5[/tex]
To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,
[tex]f(x)=-2x+5[/tex]
Step 1: Substitute [tex]f(x)=y[/tex] .
[tex]y=-2x+5[/tex]
Step 2: Interchange x and y.
[tex]x=-2y+5[/tex]
Step 3: Isolate variable y.
[tex]2y=5-x[/tex]
[tex]y=\dfrac{5-x}{2}[/tex]
Step 4: Substitute [tex]y=g(x)[/tex].
[tex]g(x)=\dfrac{5-x}{2}[/tex]
Hence, the inverse of the given function is [tex]g(x)=\dfrac{5-x}{2}[/tex] and the graphs of these functions are shown below.
Find the slope of the line passing through the
points (-6, 1) and (4, -4)
A.1/2
B. 2
C. - 1/2
D. -2
Answers
Answer:
c:-1/2
Step-by-step explanation:
I used mathpapa it explains it step by step if you need the explanation
What fraction in the simplest from represented by each point
Answers
Point B: 7/10
Point C: 6/10 = 3/5
Point D: 3/10
plsss answer this for meeeee
Answers
Explanation:
5x + 4x = 90
9x = 90
9x/9 = 90/9
x = 10
EASY 7TH GRADE MATH
2r=62
Answers
Answer:
r=31
Step-by-step explanation:
2r=62
r=31
62 divided by 2 = 31
Therefore r=31
Graph the piecewise function given below.
Answers
Answer:
this may help you.look it once
A seamstress charges 25$ for an initial visit and then 18$ per hour of work. Emma paid 88.00$ to make a dress. How long did it take to seamstress Emma's dress
Answers
3.5 hours of work
factorise the following expression
Answers
Step-by-step explanation:
Try different products to find 26
split the coefficients of the middle term ie 15x
expand the equation
Regroup
Answer =(x+2) (x+13)
Rachael has a job assembling a certain car accessory.
Last month she made a total of 424 items. Calculate her gross pay (in $) if she is paid on the following differential
piecework schedule.
Pay Level
Items produced
Rate per Item
1
1-160
$9.18
2
Over 160
$11.21
Answers
The answer is $4,428.24
illmakeubrainlessforthecorrectanswer
Answers
Answer:
THE CORRECT ANSWER IS B- 73 FEETThe given condition in question will form a right angle triangle
and the length of sides of triangle are given 55ft, 48ft and missing one.
Now using pythagoras theorem,55²+48²= x²
x² = 3025 + 2304
x² = 5329
Taking square root of 5329 will give 73 ft!
A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter follow.
Hours Spent Studying Total Points Earned
45 40
30 35
90 75
60 65
105 90
65 50
90 90
80 80
55 45
75 65
a) Develop an estimated regression equation showing how total points earned is related to hours spent studying.
b) Test the significance of the model with alpha = .05.
c) Predict the total points earned by Mark Sweeney. He spent 78 hours studying.
d) Develop a 95% prediction interval for the total points earned by Mark Sweeney.
Answers
Answer:
ansber 5 good by. ............
Help please i need ASAP
Answers
Distribute 6 ( 0.4x + 5)
Answers
Answer:
2.4x+30
Step-by-step explanation:
(6*0.4x)+(6*5)
2.4x+30
HELLLP PLSsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answers
Answer: A and D are your answers
D (1/2 of 8 =4)
In the diagram below, DF = JL = a, FE = LK = b, and triangle DEF is a right triangle.
Use the drop-down menus to complete the proof that if the equation a² + b2 = c2 is true of
the side lengths in triangle JKL, then triangle JKL must be a right triangle.
a
b
c
b
Triangle DEF is a right triangle
a² +6² c²
Click the arrows to choose an answer from each menu.
To prove triangle JKL is a right triangle, we must show that Choose... is a right angle.
Since triangle DEF is given to be right triangle, the Pythagorean theorem can be applied to
determine that Choose...
We already know that a² + b2 = c in triangle JKL, SO
these two equations show that Choose...
which is enough to
prove that triangles DEF and JKL are congruent triangles. Then, triangle JKL must be a
right triangle because Choose...
hi
Answers
Answer:
Angle L,
a^2+b^2=DE^2
De^2=c^2 and CE=c
angle L=F
ΔDEF and ΔJKL are congruent to each other.
TriangleTriangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Right angle triangleIt is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Given
DF = JL = a, FE = LK = b,
And ΔDEF is a right triangle.
To findΔDEF and ΔJKL are congruent to each other.
How to find the ΔDEF and ΔJKL are congruent to each other?Since the Pythagoras theorem is applicable in ΔDEF.
a² + b² = c²
This equation also satisfies the ΔJKL Hence angle K is the right-angle.
Since, ∠F = ∠L = 90°,
DF = JL = a,
FE = LK = b
Therefore, ΔDEF ≅ ΔJKL
Thus, ΔDEF and ΔJKL are congruent to each other.
More about the triangle link is given below.
https://brainly.com/question/25813512
PLEASE HURRY AND HELP !!!!!!
Answers
Answer:
b
Step-by-step explanation:
the diameter is the length in the middle of the c circle of that makes sense while the radius is half of that. I hope this helps ik it's not the best description
Which of these groups of relative frequencies will be best buy a pie chart
Answers
Answer: You are correct! Whatever adds up to 100% is the answer! :)
Which expression is equivalent to 6 (3x + 4)?
9x +4
180 + 24
9.2 + 10
18.0 +4
Done
Answers
Answer: 18x+24
Step-by-step explanation:
If a number cube numbered 1-6 is tossed 300 times about how many times would you expect to land on the number 3?
50
200
150
100
Answers
explanation: the average for 300 flips on a 6 numbered cube is 50
3.2468 rounded to the nearest tenth.
please help me
Answers
Answer:
3.2
Step-by-step explanation:
Find the number in the tenth place
2
and look one place to the right for the rounding digit
4
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
It is possible none of the choices is the solution?
If I’m wrong, then which one is the correct answer?
Answers
Answer:
I am pretty sure the answer would be B!
Hope this helps
Mark me brainliest if I'm right :)
can u please help me
Answers
Answer:
(a) x=45°
(b) If AD was parallel to BC, <A would be equal to (180-<B)=90 (corresponding angles). Since <A≠90, we can see that AD and BC aren't parallel.
Step-by-step explanation:
(a)
Angles in a quadrilateral add to 360:
<A+<B+<C+<D=360
2x+90+x+3x=360
6x=270
x=45°
(b)
If AD was parallel to BC, <A would be equal to (180-<B)=90 (corresponding angles). Since <A≠90, we can see that AD and BC aren't parallel.
Answer: Step-by-step explanation:
3x+2x+x=360-90
6x=270
x=45
∠DAB=2x=90° and ∠ABC=90° ⇒ AD║BC
In the school parking lot at the high school, there were 120 cars and 30 SUVs, for a total of 150 vehicles. Complete the statement: People drove cars and SUVs in a ratio of __ to 1. (PLEASE HELP I NEED THE ANSWER ASAP)
Answers
Answer:
120 to 30 cars to SUVs, 120 to 150 cars to vehicles, 30 to 150 SUVs to vehicles, 4 to 1 cars to SUVs
THIS IS A GCF PROBLEM FOR A2 HELP!!!
Answers
What is the area, in square inches, of the isosceles trapezoid below?
Answers
Explanation-
14.2 - 6.4 = 7.8 (to get the length of the base without the top part)
7.8 • 5.2 = 40.56 (to find the area outside of our subtracted square that has the top part)
6.4 • 5.2 = 33.28 (to find the area of the inner square)
40.56 + 33.28 = 73.84 (adding together both parts to find the total area)
A = 73.84
Without using the formula, work out the gradient of the graph shown.
Give your answer in its simplest form.
Answers
Why does Brainly need be to make these messages 20 characters long?
A batted baseball leaves the bat at an angle of θ with the
horizontal and an initial velocity of v0 = 300 feet per second. The
ball is caught by an outfielder 530 feet from the home plate. The
range r of a projectile is given by sin 2
32
1 2
o r v
.
What is the value of the angle of the bat from the ground?
Answers
Answer:
Sixty Baseball Physics Problems © page 1 ! ! Sixty Baseball Physics Problems (many with correct solutions!) Sixty Baseball Physics Problems
Step-by-step explanation:
Can someone pls help me I’m stuck
Answers
Answer:
i am sorry i have no idea sorry
Answer: B
Step-by-step explanation: Hope this help :D
what is 23^a x 23^b= Pls I need the answer
Answers
Answer:
23^(a+b)
Step-by-step explanation:
23^a x 23^b =23^(a+b)