(x - 4)/(x + 4)
Step-by-step explanation:
[tex]\begin{aligned}\tt\frac{x^2-16}{x^2+8x+16}&=\tt\frac{x^2-4^2}{\left(x+4\right)^2}\\&=\tt\frac{\left(x+4\right)\left(x-4\right)}{\left(x+4\right)^2}\\&=\tt\frac{x-4}{x+4}\end{aligned}[/tex]
Note :
a² - b² = (a + b)(a - b)(a + b)² = a² + 2ab + b²help
i dont understand this.
Answer:
4
Step-by-step explanation:
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
let's find the slope of the line :
that is :
[tex] \dfrac{y2 - y1}{x2 - x1}[/tex]taking two points (0 , 4) and (2 , -4)
[tex] \dfrac{4 - ( - 4)}{0 - 2} [/tex][tex] \dfrac{8}{ - 2} [/tex][tex] - 4[/tex]Slope (m) of the graph = -4
and y - intercept (c) = 4
therefore, the equation will be :
[tex]y = mx + c[/tex][tex]y = - 4x + 4[/tex]Dilate Triangle ABC so it's scale factor is 3 and the center of dilation is the origin.
A(1,1)
B(3,1)
C(2,3)
Step-by-step explanation:
Dilation :
the scale factor is 3 and the center of dilation is the origin.
A(1,1) => A'(3, 3)
B(3,1) => B'(9, 3)
C(2,3) => C'(6,9)
The transformations A(1,1) → A'(3, 3), B(3,1)→ B'(9, 3), and C(2,3) → C'(6,9) represents a dilation centered at the origin.
What is a transformation?On the coordinate plane, you may dilate figures. The origin is frequently utilized as the center of dilatation. If you are distorting a figure centered at the origin, you may find the points in the image by multiplying the coordinates of the points in the preimage by the scale factor.
As per the given question,
We have the scale factor i.e. 3 multiplying the coordinates of the points (x, y) for the center of dilation is the origin.
A(1,1) → A'(3, 3)
B(3,1)→ B'(9, 3)
C(2,3) → C'(6,9)
Thus, the transformations A(1,1) → A'(3, 3), B(3,1)→ B'(9, 3), and C(2,3) → C'(6,9) represents a dilation centered at the origin.
To learn more about the transformations click here :
https://brainly.com/question/28029674
#SPJ2
plz i need help walk me through it, thanks
Answer:
[tex]p=36^{\circ}[/tex]
Step-by-step explanation:
We can prove that a tangent will always be perpendicular to the radius touching it. So, the other angle in the diagram is [tex]90^{\circ}[/tex].
Because all the angles of a triangle sum to [tex]180^{\circ}[/tex], we have that [tex]p+54+90=180[/tex].
We combine like terms on the left side to get [tex]p+144=180[/tex].
We subtract [tex]144[/tex] on both sides to get [tex]p=36[/tex].
So, [tex]\boxed{p=36^{\circ}}[/tex] and we're done!
The depth of water in a water tower that is draining is decreasing at a constant rate of 1.75 feet per hour. If
the depth after 6 hours of draining is 8 feet then write an equation for the water depth, d, as a function of the
amount of time it's been draining, t, in hours.
Answer:
1.75 * 6 = 10.5 - 8 = 2.5 / 1.75 = 1.43 * 5.5 = about 5hrs and 30mins
Step-by-step explanation:
In slope intercept form y=mx+b, the y-intercept is located at (0,b).
a. What equation results from substituting (0,b) for (x1,y1) in the point-slope form y-y1= m(x-x1)?
b. How are the slope-intercept and the point-slope forms related?
a . When (0,b) is substituted for (x1,y1) in the point-slope form y-y1=m(x-x1). the result is__
( Type an equation )
Please Help asap
Step-by-step explanation:
a. Substituting (0,b) into the point-slope form, we get y = mx + b. Plug in 0 to the x1 value and plug in b into the y1 value. Add b to both sides and you should get y = mx+b.
b. Slope-intercept shows how to get specific x or y values at a point if three of the four variables (y, m, x, or b) are known. Point slope form is used mainly when finding the slope from two distinct points. (Later, you'll learn it's importance in the definition of a derivative :).)
c. y = mx + b. Refer to a.
Answer:
a) y-b=m(x-0)
b) (x1, y1) , point-slope, y, slope-intercept
Explanation
State if the two triangles are congruent. if they are, state how you know
Answer:
by the following axioms:
1. SSS Axiom
2.ASA Axiom
3.SAS Axiom
4.AAS Axiom
5.RHS Axiom
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
6
Step-by-step explanation:
Hope it helps pls mark brainliest if you would
On Monday, 405 Students went on a trip to the zoo. All 9 uses were filled and 9 students had to travel in cars. How many students were in each bus?
Answer:
Each bus could take 44 Students.
Step-by-step explanation:
(405-9) / 9
Answer:
44
Step-by-step explanation:
405 total students minus 9 students who traveled in cars=396 students
396 students divided by 9 buses=44 students per bus
Zayn puts garland around a square window. He uses 888 meters of garland.
What is the height of the window?
Answer:
222 meters
Step-by-step explanation:
Zayn puts a total of 888 meters of garland around a square window.
Because a square has all equal sides, divide the amount of garland he used by 4 to find how much is used per side:
888 ÷ 4 = 222
So, the height of the window is 222 meters.
Which expression is equivalent to 1/5(150x-80y+50x-25y+20)
Answer: 40x-21y+4
Step-by-step explanation:
[tex]\frac{1}{5}(150x-80y+50x-25y+20)\\\\=\frac{1}{5}(200x-105y+20)\\\\ =\boxed{40x-21y+4}[/tex]
A high-end interior designer charges an hourly rate for his services plus a consultation fee. As a courtesy to his clients, after working on a job for over 20 hours, his hourly rate drops and the consultation fee is waived. The fees for the interior designer's services can be modeled with the following piecewise equation, where x represents the number of hours. f(x)={150x+300, x≤20100x, x>20 How much would it cost for 18 hours of interior design services? Enter your answer in the box. $
Answer:
3000
Step-by-step explanation:
Set A represents rational numbers. Set B represents integers. Which diagram shows the numbers placed in the correct sets?
Answer:
from the little i can see, they are all correct
You want to buy a new app for your iPhone that costs $2.50. The tax rate is 4%. How much total do you pay for the app?
9514 1404 393
Answer:
$2.60
Step-by-step explanation:
You pay ...
app cost + tax
$2.50 + 4% × $2.50 = $2.50×(1 + 4%) = 1.04×$2.50 = $2.60
You pay $2.60 for the app.
Help me solve this algebra question.
9514 1404 393
Answer:
5.33 cm
Step-by-step explanation:
The smallest positive zero of the polynomial with d=0.55 is about 5.33. We presume the units are cm.
The ball sinks to a depth of 5.33 cm.
__
I find a graphing calculator shows the zeros of higher-degree polynomials easily. The function graph is attached.
For the purpose here, the vertical scale factor π/3 can be eliminated, as it does not change the values of the zeros. That is, the polynomial we need to solve is x²(x -15) +275 = 0.
It turns out that a reasonable iterator for finding a solution is x' = √(275/(15 -x)). x = 5 is a reasonable starting point. The iterator is what you get by solving for the x outside the parentheses in the above cubic equation.
Jean is planning to take a foreign language class. To research how satisfied other students are with their foreign language classes, she decides to take a sample of 50 such students. The university offers classes in five languages: Spanish, German, Russian, French, and Japanese. She will select a random sample of 10 students from each language class. Which term best describes the sampling technique Jean is using
Answer:
probability I think if I am ✅ can I get brainliyist
In the arithmetic sequence, what number goes in the blank?
6, 11, 16,___, 25, ...
A. 25
B. 20
C. 5
D. 21
Step-by-step explanation:
6, 11, 16,__21__, 25, ...
Hope it helps ya
all students = 700
450 = choose to enrolled on an off-grid class
320 = on an online class
275 = on both off-grid and online class
1) How many parents choose only off-grid class for their children?
2) Is there any parents choose not to enroll their children in this school year? If yes, how many?
3) How many parents choose an online class for their children only?
4) How many parents do not choose online class?
5) How many parents do not use off-grid class?
help pls, I rlly need it now.
Answer:
See belowStep-by-step explanation:
Given:
Total number = 700Off grid class = 450Online class = 320Both = 275Based on the given we find the following
1) Off-grid class only:
450 - 275 = 1753) Online class only:
320 - 275 = 452) None of the classes:
700 - (175 + 275 + 45) = 2054) Not online:
700 - 320 = 3805) Not off-grid:
700 - 450 = 250what is the answer to 2/5+5/10=
Answer:
[tex]\frac{2}{5\\}[/tex] + [tex]\frac{5}{10}[/tex]= [tex]\frac{9}{10}[/tex]
Step-by-step explanation:
Because this is not multiplication or diving you must find the same denominator, which is 10. Now, because 5/10 is already 10 I don't need to change that, but if you see that 2/5 does not have the denominator of 10. Then, I need to multiply 2 on the numerator and the denominator because 5(2) equals 10 and whatever is multiplied to the denominator has to be multiplied to the numerator. So. now the numerator is 4. Lastly, what you need to do is add them together. So, (2+5)=7 and the denominator is stays as 10 because it is addition. So, our final answer is 9/10
[ Hope that helped :) ]
PLS HURRY!!!!!
Identify the prime factorization for 75
A 25x3
B25x 3
C 52x3
Answer:
C 52x3
Step-by-step explanation:
12) Armani gets paid $9 an hour to paint. If he works for
5 12 hours, how much money will he make?
Answer:
multiply 9*512= 4,608
Step-by-step explanation:
One number is seven less than six times another number. If the sum of the numbers is 56, find the numbers.
Answer:
The answer is 2
Step-by-step explanation:
You need to find out what is 56 divided by 6 which is 9. Then subtract, 9-7 which equals 2. So the answer is 2.
Anyone please help me pls on how to solve this i really need help
A sample of fish is taken from two different lakes.
Seventy fish are taken from Lake A and the mean length of the
fish is 35 cm.
Thirty fish are taken from Lake B and the mean length of the
fish is 42 cm.
Calculate the mean length of the 100 fish.
Answer:
So, 100 fish taken from Lake A would have a mean length of 50 cm and 100 fish taken from Lake B would have a mean length of 140 cm
Step-by-step explanation:
1 fish from Lake A would be 0.5 cm long you calculate that by dividing 70 from 35 and you calculate the fish from Lake B by dividing 30 from 42 which would be 1.4 cm, (english is not my first language so I hope you understood everything :D)
What is 39,800,000 in scientific notation?
Answer:
3.98 x 10 to the power of 5
Step-by-step explanation:
Mark me brainleist if this is correct!
kids is that 500 5902.3 is equal to 519 when rounding off to the nearest ten she drop 2 to because it is less than 5 do you agree with answer explain your answer
Answer:
5192.3 rounded off to nearest ten
Step-by-step explanation:
We get the number:
51903 dropped as a decimal fraction smaller than 12 dropped and replaced with zero as we round of to tenkids missed to replace 2 with zero and lost unit digits by doing thatTELL ME IF IM CORRECT
Polynomials
Multiply ( 4x2 – 3)(x + 8)
Answer:
(4*2-3)(x+8)
(8-3)(x+8)
8(x+8)-3(x+8)
8x+64-3x-24
8x-3x+64-24
5x+40
Select the correct answer from each drop-down menu. Four water tanks can hold a total of 4324 gallions of water. On average, how much water can one tark hold How much water is in a tanks half full gallons of water One tank can hold an average of gallons of water. A half-fulltank will hold
Answer:
If you divide 4324 by 4 you get 1081 so one can hold that much and if it is half you divide 1081 by 2 and you get 540.5
Hope this helps!
Find the x- and y-intercepts of the graph of the function f(x)=−4|x+5|+8 .
Answer:
x-intercept(s): (−3,0),(−7,0)
y-intercept(s): (0,−12)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute i 0 for x and solve for y.
please help me with this sum
Answer:
Step-by-step explanation:
n;
Convection; Radiation; Insulation.
PLTS/Gatsby:
Effective participants;
Independent Enquirers.
Compare group 1, 7 and 8 elements.
The BIG question
is… What is the trend in reactivity in the alkali metals, halogens and noble gases
sSHUTSHHHHHHHHHHHHHHUTUPPPPPPPPPPPPP
Answer:
153, 155, 93, 31, 78, 125, 150, 87, 157, 118, 67
Divide. 5 1/4÷1/3 Express your answer as a mixed number in simplest form. Enter your answer in the box.
Answer:
15 and 3/4 will be your answer
10% of what is 80,000?
Answer:
let the no be x ..then,
10% of x =80,000
10x=80,000*100
x=80,00,000/10
x=8,00,000
hence 10%of 8,00,000 is 80,000