Express (x + 9)2 as a trinomial in standard form.
Answer:
Step-by-step explanation:
Answer:
[tex] {x}^{2} + 18x + 81[/tex]
Step-by-step explanation:
[tex](x + 9) {}^{2} [/tex]
Apply foil method.
[tex](x + 9) {}^{2} = (x + 9)(x + 9)[/tex]
Multiply the first terms, X
[tex]x \times x = {x}^{2} [/tex]
Multiply outer terms, 9 and x.
[tex]x \times 9 = 9x[/tex]
Multiply inner terms,
[tex]9 \times x = 9x[/tex]
Multiply outer terms.
[tex]9 \times 9 = 81[/tex]
Add the inner and outer terms
[tex]9x + 9x = 18x[/tex]
Write in standard form
[tex] {x}^{2} + 18x + 81[/tex]
Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number Lauryn grew. Choose an expression and a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew. Select all that apply.
Answer:
A. p + (3p – 5) + (4p + 6)
D. 8p + 1
Step-by-step explanation:
A. p + (3p – 5) + (4p + 6)
B. p + (5 – 3p) + (6 + 4p)
C. p + 11
D. 8p + 1
E. 7p – 1
Lauryn = p tomatoes
Padma = (3p - 5) tomatoes
Kent = (4p + 6) tomatoes
Total number of tomato plants that Lauryn, Padma, and Kent grew = Lauryn + Padma + Kent
= p + (3p - 5) + (4p + 6)
= p + 3p - 5 + 4p + 6
= p + 3p + 4p - 5 + 6
= 8p + 1
Total number of tomato plants that Lauryn, Padma, and Kent grew = 8p + 1
A. p + (3p – 5) + (4p + 6)
D. 8p + 1
MMM HAYYY help me with this pls cus I need help :|.
Answer:
B-17
Step-by-step explanation:
all the student in the 0 cullum don't count. If you add everyone else up you get 17.
Brainliest?
Answer:
B=17
Step-by-step explanation:
since zero hours counts as no one volunteering we can conclude that Section 0 needs to be erased so it is 17
I will give brainiest help pls
Answer:
it could be the 5th one !!
I need to know what the answers are and show work. Please help me! And thank you!
Answer:
x=29
∠C=93°
Step-by-step explanation:
180°-52°-35°=3(x+2)°
180°-87°=(3x)°+6°
93°=(3x)°+6°
(3x)°=87°
x=[tex]\frac{87}{3}[/tex]
x=29
∠C=3(x+2)°
=3(29+2)°
=3(31)°
=93°
29*9
It's too short. Write at least 20 characters to get a great answer.
Answer:
261
Step-by-step explanation:
I'll mark branliest, also I need work shown please!!!
A baseball is thrown up in the air. The table shows the heights y (in feet) of the baseball after x seconds. Write an equation for the path of the baseball. Find the height of the baseball after 1.7 seconds.
The equation of an object in free fall is the equation of a parabola
The equation for the path of the ball is y = -16·x² + 36·x + 4The baseball height, after 1.7 seconds is 18.89 feet.
The reason the above values are correct are as follows:
The known parameters are;
The direction of the baseball is up in the air
The values of the height of the baseball after x seconds is given as follows;
[tex]\begin{array}{ccc}\mathbf{Time, \ x}&&\mathbf{Baseball \ height, \ y}\\0.5&&18\\1&&24\\1.5&&22\\2&&12\end{array}\right][/tex]
Required;To write the equation for the path of the baseball
Solution:
The general equation of the motion of free fall is the equation of a parabola, which can be written as follows;
y = a·x² + b·x + c
From the given table, we have;
18 = a·0.5² + b·0.5 + c = 0.25·a + 0.5·b + c
18 = 0.25·a + 0.5·b + c...(1)
24 = a + b + c...(2)
22 = 2.25·a + 1.5·b + c...(3)
12 = 4·a + 2·b + c...(4)
Subtracting equation (1), from (2), to get equation (5) and subtracting equation (3) from (4) to get equation (6) gives;
6 = 0.75·a + 0.5·b...(5)
-10 = 1.75·a + 0.5·b...(6)
Subtracting equation (5) from equation (6) gives;
-10 - 6 = 1.75·a - 0.75·a = a
a = -16
From equation (5), we get;
6 = 0.75 × (-16) + 0.5·b
b = (6 - 0.75 × (-16))/0.5 = 36
b = 36
From equation (2), we get;
24 = (-16) + 36 + c
c = 24 - ((-16) + 36) = 4
The equation for the path of the ball is y = -16·x² + 36·x + 4
Required;The height of the baseball after 1.7 seconds
Solution:
The height, y, of baseball after 1.7 seconds is given by substituting for the time x = 1.7 in the equation of the baseball as follows;
After 1.7 seconds, y = -16 × 1.7² + 36 × 1.7 + 4 = 18.89
The height of the baseball y, after 1.7 seconds is 18.89 feet.
Learn more about motion of an object in free fall here:
https://brainly.com/question/14113699
what can i add to 1,663,134 to make 2,148,431
Answer:
485297
Step-by-step explanation:
The harper family budgeted 37% of their income of $53000 for taxes. How much did they budget for taxes?
Answer: $19,610
Step-by-step explanation:
53000(.37)=19610
Unit test
Find the value of s in the triangle shown below.
33°
cº
103
Answer:
x = 44
Step-by-step explanation:
x + 33 + 103 = 180
x + 136 = 180
x = 44
which is equivalent to y=(x-4)(x-2)?
1.y=x^2+2x-8
2.y=x2+6x+8
3.y=x^2-6x+8
4.y=x^2-2x-8
Answer:
C
Step-by-step explanation:
The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.
Answer:
(look in the the Step by step)
Step-by-step explanation:
When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in
The length of diagonal BD is 8 in.
Answer:
BD = 8 in.
Step-by-step explanation:
Reduce the fraction to its simplest form
24/42 hurry please I have no clue lol
It should be 4/7 ! If I'm wrong I apologize- but I hope this helps :)
Answer:
4/7 :)
Step-by-step explanation:
If the measure of <1 = 37 degrees what is the measure of <3
Answer:
x= 119
Step-by-step explanation:
All triangles have a sum of 180 degrees for all of their angles
so 180= 24+37+ x
x= 119
What is the value of –16 (-5=23)?
Answer: i need points ty
Step-by-step explanation:
hhhhh
PWEASE HELP ME, AREA OF A CIRCLE
Answer:
Step-by-step explanation:
A= πr2 = π·72 ≈153.93804
Step-by-step explanation:
The formula for an area of a circle is: π[tex]r^{2}[/tex]
In this instance you are using 3.14 for pi.
3.14 ([tex]7^{2}[/tex])= 153.86
Area= 153.86[tex]ft^{2}[/tex]
What is the sum of (5x - 10) and (-X + 8) ?
Answer:
4x-2
Step-by-step explanation:
(5x-10)+(-x+8)
5x-10-x+8
5x-x-10+8
4x-10+8
4x-2
Therefore, the sum is 4x-2
Answer:
4x - 2
Step-by-step explanation:
(5x - 10) + (-x + 8)
To solve this problem, one must simplify, combine like terms. One can only combine a variable unit with another variable unit, likewise, one can only combine a constant (numerical term) with another constant.
(5x - 10) + (-x + 8)
= 5x - 10 - x + 8
= 4x - 2
Use the diagram and proportional reasoning to
complete each statement.
The circumference of the entire circle is vt in.
The sector is of the circle.
The arc length is ut in
14.13
120°
Answer: the circumference of the entire circle is 28.26
The sector is 1/3 of the circle
The arc length is 9.42 in
ON EDGE
Answer:
The circumference of the entire circle is
28.26
π in.
The sector is
1/3
of the circle.
The arc length is
9.42
π in.
Step-by-step explanation:
Please tell me the answer to X. I really need your help. I'll even give you Brainliest if you give a proper answer with no download links. You should also give an explanation.
Answer:
6
Step-by-step explanation:
expand
x-7= 1/4x-10/4
3/4x=18/4
multiply 4 on both sides to get rid of the denominator
3x=18
x=6
check work by substituting
6-7= 1/4(6-10)
-1= 1/4(-4)
-1=-1
they are equal, so it's correct
Between 12:00 PM and 1:00 PM, cars arrive at a local bank's drive-thru at the rate of cars per hour ( car per minute). The formula below from probability can be used to determine the probability that a car will arrive within t minutes of 12:00 PM. Use this information to answer the questions given below in parts (a)(e).
Complete question :
Between 12:00 PM and 1:00 PM, cars arrive at Citibank’s drive-thru at the rate of 6 cars per hour (0.1 car per minute). The following formula from statistics can be used to determine the probability that a car will arrive within t minutes of 12:00 PM. F(t)=1−e^−0.1t
Determine how many minutes are needed for the probability to reach 80%.
Answer:
16.09 minutes
Step-by-step explanation:
Given the function :
F(t)=1−e^−0.1t
To attain 80% probability ; 80% = 0.8
0.8 = 1 - e^-0.1t
0.8 - 1 = - e^-0.1t
-0.2 = - e^-0.1t
Take the In of both sides
In(0.2) = In( e^-0.1t)
−1.609437 = - 0.1t
Divide both sides by - 0.1
−1.609437 / -0.1 = - 0.1t / 0.1
16.09 = t
Hence, the time it'll take will be 16.09 minutes
Answer:
80/100=0.80
.8=1-e^-0.3t
.8+1=-e^-0.3t
1.8=-e^-.3t
t=5.36
Step-by-step explanation:
Andre wrote the expression −3+6x÷5 to represent the relationship shown in the table. Find two other expressions that also represent the relationship shown in the table. Select all that apply.
A.
5÷(−3)+6x
B.
6x−3
5
C.
6x÷5+(−3)
D.
(−3+6)+x÷5
E.
6
5x−3
F.
3+(−6x÷5)
Answer:
C is the correct answer
Step-by-step explanation:
hii please help i’ll give brainliest
Answer:
0.5
Step-by-step explanation:
Find the volume of each solid
Answer:
the answer is
13 cm:y
5 cm:x
2 cm:z
LOOKS EASY !! NO FILES/LINK THX
2) Give two names for a
triangle with all 3 sides
having the same length.
The price of pants is bigger than the price of a shirt by 4$.
Mike bought 10 shirts and 5 pants.
Mike payed 20$ more for the shirts than the pants.
How much does a shirt cost?
How much do pants cost?
Answer: A shirt costs $8 and the pants cost $ 12.
Step-by-step explanation:
Let x = Cost of each shirt, y = Cost of each pant.
As per given, we have
[tex]y-x=4 \ \ \ (i)\\\\ 10x-5y = 20\ \ \ (ii)[/tex]
Multiply 5 on both sides of (i), we get
[tex]5y-5x=20 \ \ \ (iii)[/tex]
Add (ii) and (iii), we get
[tex]5x=40\\\\\Rightarrow\ x=8[/tex]
From (i), y=4+8=12
Hence, a shirt costs $8 and the pants cost $ 12.
Can you please help me
Answer:
3x4
Step-by-step explanation:
If you draw a rectangle with a length of 4 and a width of 3, it will have 12 sq units as the area.
This is because A=lw. If the area is 12, the length and width must multiply to get 12. 3x4=12.
Answer:
there is what i would do to answer it
does anyone know the answer to this?
Answer:
Step-by-step explanation:
6/1000 is equal to...
A 0.0006
B 0.006
C 0.06
D 0.6
E 6000
Answer: B
0.006
Step-by-step explanation:
Answer:
B. 0.006
Step-by-step explanation:
for 6/10 it would be 0.6, 6/100 is 0.06, and 6/1000 is 0.006. Also the way you would say 6/1000 is either six over one thousand or six thousandths which is also how you would say 0.006.
i hope this helps!
find the area of the shaded part
Answer:
Step-by-step explanation:
the easiest thing to do is to make the half squares which you have 4 into 2 whole squares then base times height
4x3=12
Answer:
26cm²
Step-by-step explanation:
Alrighty, let's go count squares:
On the top row, there's 4 (adding the halves together), on the second row there's 5, and on the bottom row there's also 4, so we add that all together to get:
4 + 5 + 4 = 13
But, because each square is 2 cm, we have to multiply:
13 x 2 = 26
So, the area of the shaded section is 26cm²
hope this helps:)