Answer:
x = -4
Step-by-step explanation:
1. (2x2 + 8x) - (x2 - 16) = 0
2. Factoring x2+8x+16
The first term is, x2 its coefficient is 1 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is +16
Step-1 : Multiply the coefficient of the first term by the constant 1 • 16 = 16
Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is 8 .
-16 + -1 = -17
-8 + -2 = -10
-4 + -4 = -8
-2 + -8 = -10
-1 + -16 = -17
1 + 16 = 17
2 + 8 = 10
4 + 4 = 8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 4 and 4
x2 + 4x + 4x + 16
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+4)
Add up the last 2 terms, pulling out common factors :
4 • (x+4)
Step-5 : Add up the four terms of step 4 :
(x+4) • (x+4)
Which is the desired factorization
Multiply (x+4) by (x+4)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+4) and the exponents are :
1 , as (x+4) is the same number as (x+4)1
and 1 , as (x+4) is the same number as (x+4)1
The product is therefore, (x+4)(1+1) = (x+4)2
(x + 4)2 = 0
3.
Solve : (x+4)2 = 0
(x+4) 2 represents, in effect, a product of 2 terms which is equal to zero
For the product to be zero, at least one of these terms must be zero. Since all these terms are equal to each other, it actually means : x+4 = 0
Subtract 4 from both sides of the equation :
x = -4
Answer:
x = -4
Step-by-step explanation:
=> 2x²+8x = x²-16
=> 2x²- x² + 8x + 16 = 0
=> x² + 8x + 16 = 0
Using mid-term break formula
=> x² + 4x + 4x + 16 = 0
=> x(x+4)+4(x+4) = 0
=> (x+4)(x+4) = 0
=> (x+4)² = 0
Taking square root on both sides
=> x+4 = 0
=> x = -4
To approach runway 17 of the Ponca City Municipal Airport in Oklahoma, the pilot must begin a 3° descent starting from a height of 2714 ft above sea level. The airport is 1007 feet above sea level. To the nearest tenth of a mile, how far from the runaway is the airplane at the start of his approach?
Answer:4.
Step-by-step explanation:
write a rule for the nth term of the sequence 15, 19, 23, 27
Answer:
aₙ= 4n+11
Step-by-step explanation:
the sequence 15, 19, 23, 27
is AP with the first term 15 and
the common difference 19-15=23-19=27-23= 4
aₙ= a₁+(n-1)d
aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11
aₙ= 4n+11
Simplify (x^4y)^3.
x^12y^3
x^4y^3
x^7y^3
=========================================================
Explanation:
Think of x^4y as x^4y^1. When we raise this to the third power, we multiply the outer exponent 3 by each inner exponent
x^4 turns into x^12
y^1 turns into y^3
-----------
This is one way to show your work
(x^4y)^3
(x^4y^1)^3
x^(4*3)*y^(1*3) ... multiplying outer exponent by each inner exponent
x^12y^3
-----------
A more lengthy way to get the answer is to write x^4y out three times multiplying by itself that many times. The outer exponent 3 tells us we will have three copies of x^4y multiplied with itself.
(x^4y)^3 = (x^4y)*(x^4y)*(x^4y)
(x^4y)^3 = (x^4*x^4*x^4)*(y*y*y)
(x^4y)^3 = ( x^(4+4+4) ) * ( y^(1+1+1) )
(x^4y)^3 = x^12y^3
3. Shenker has 45 CDs.
He gives 10 CDs to his brother.
a) Write an equation you can solve to find how many CDs
Shenker has left.
b) Solve the equation.
Answer: The equation is 45-10=x the answer is 35
Step-by-step explanation: To make the equation you need to have and = sign so, we can do what he has (45) and subtract what he gives away (10) which would equal what he has left (x)
Answer:
45 (initial amount) - 10 (given to brother) = x (number of cd's left)
Equation:
45 - 10 = x
Answer:
35 CDs
A rectangle has a width that is 3cm less than its length. The perimeter of the rectangle is 22cm. What is the length and width of the rectangle? Please use problem solving algebraically and explain your answer so i can give you the brainliest. :)
Answer:
The length is 7 and the width is 4
Step-by-step explanation:
l = length
w = l-3
P =2( l+w)
22 = 2( l+ l-3)
Combine like terms
22 = 2(2l-3)
Divide each side by 2
22/2 = 2/2 (2l-3)
11 = 2l-3
Add 3 to each side
11+3 = 2l-3+3
14 = 2l
Divide each side by 2
14/2 =2l/2
7 = l
Now find w
w = l-3
w = 7-3 = 4
Answer: length = 7 cm
Width = 4 cm
Step-by-step explanation:
Perimeter = 2 (l + w)
22 = 2 ( l + l-3)
22=2 (2l - 3)
22=4l - 6
22+6 = 4l
4l = 28/4
l = 28/1 = 7 = length
Width = 7-3 = 4
What is the probability of rolling a die and it landing on a number less than 3?
Answer:
2/6 (33.33%)
Step-by-step explanation:
Answer:
The answer would be 1/3
Step-by-step explanation:
There are 6 faces in a dice and 2 of which are less than three. So the answer would 2/6 which is simplified as 1/3.
what is the answer 2+2=4-5/25
Anyone know how this can be solved?
Answer:
127.235cm^2
Step-by-step explanation:
A = πr²/2 = 40.5 * π [cm²] ≈ 127.235 [cm²]
Answer:
[tex]127.251 {cm}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{180}{360} \times \pi {r}^{2} \\ \frac{1}{2} \times 3.142 \times 9 \times 9 \\ = \frac{254.502}{2} \\ = 127.251 {cm}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
AB is parallel to CD . Find the measure of each numbered angle. I NEED HELP ON 8 AND 9 ASAP
Answer:
Question (8). m∠1 = 142°
m∠2 = 300°
Question (9). m∠1 = 73°
m∠2 = 82°
Step-by-step explanation:
Question (8). m∠1 + 38° = 180° [Supplementary angles]
m∠1 = 180 - 38
m∠1 = 142°
m∠x = 38° [Alternate interior angles]
m∠y = 22° [Alternate interior angles]
Now, m∠2 = 360° - (m∠x + m∠y)
= 360° - (38 + 22)°
m∠2 = 300°
Question (9). m∠RMN + 98° = 180°
m∠RMN = 180 -98
= 82°
m∠RMN = m∠ARM = 82°
m∠2 = 82°
m∠SNM = 73° [Vertical angles]
m∠SNM = m∠OSR = 73°[Corresponding angles]
m∠1 = 73°
What is the value of x in the equation - 3X+9
x+9= 3-37?
Q 1: There are n boxes in a large bag and m toys in each box. What is the total number of toys in the bag? Q 2 :The length of a rectangle is given by x + 2 and its width is equal to 3. Give a simplified expression of the area of this rectangle.
Answer:
Q1: n*m
Q2: A = 3x+6
Step-by-step explanation:
Q1: The total number of toys in the bag is given by the number of boxes (n) in the bag multiplied by the number of toys in each box (m):
[tex]T = n*m=nm[/tex]
Q2: The area of a rectangle is given by the product of its height by its length:
[tex]A = (x+2)*3\\A=3x+6[/tex]
The area of this rectangle is given by the expression A = 3x+6.
Ayuuuudeeeeen :')
t.t
Answer: a=4
Step-by-step explanation:
Es facil. La diagonales de un rectangulo se cortan en su punto medio por tanto la diagonal es 10 (el doble de 5).
Por pitagoras entonces:
[tex]a=\sqrt{10^2-8^2}=\sqrt{100-64}=\sqrt{36}=4[/tex]
Someone please help ASAP. I would really really appreciate it if u can. I will mark brainliest
Answer:
[tex]y = -\frac{1}{4} x + 2[/tex]
Step-by-step explanation:
What is the surface area of the cylinder
Answer:
T. S. A. =2πrh+2πr2
V=Bh
V = Base×h
V= (lw) × h
V= lwh
Jim decides to decorate a wall of his house by randomly tossing paint onto the wall. The wall is rectangular and measures 8 feet by 8 feet. The wall has a light switch panel that measures 12 inches by 6 inches. If it is equally likely that tossed paint will land anywhere on the wall, what is the probability that Jim will hit the light switch with one random toss of paint?
Round your answer to the nearest whole percent.
A. 89%
B. 64%
C. 9%
D. 1%
Answer:
i belive it is D 1%
Step-by-step explanation:
I think the answer is D) 1% I am sorry if it is wrong and plz let me know if i am wrong
Please help with these questions :(
In the Pythagorean theorem, a squared minim b squared equals c squared. If you apply that formule to question 2.
17^2-8^2 = 289 - 64 = 225 = 15^2.
Therefore, the answer to first question is yes
Then, for question 2, you do the same thing.
41^2 - 40^2 = 51
Here, 51 is not a square number. Most importantly it is not the square of9,
So this triangle is not right angled
A college's lacrosse team will play 22 games next spring. Each game can result in one of 2 outcomes: a win or a loss. Find the total
possible number of outcomes for the season record.
Answer: 44 possible outcomes
Step-by-step explanation:
Multiply the number of games by the number of outcomes to find how many possibilities.
22 games * 2 outcomes = 44 possibilities
Interpreting the situation, it is found that there are 23 possible outcomes for the season record.
For each game, there are two possible outcomes.
Hence, if the team plays 1 game, there are two possible outcomes, 0 wins or 1 win.If the team plays 2 games, there are three possible outcomes, 0 wins, 1 win or 2 wins.The same is valid for 3 games, the team can win 0, 1, 2 or 3 games.Hence, for n games, there are n+1 outcomes.In this problem, there are 22 games, hence 23 possible outcomes.
A similar problem is given at https://brainly.com/question/18599661
The temperature increased from (-3) degrees to (+12) degrees on Friday what was the temperature change over the course of the day
Answer:
+15 degrees
Step-by-step explanation:
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
11
12