Given:
Consider the given polynomial is:
[tex]x^3+4x^2+16x+64[/tex]
To find:
The complete factorization of the given polynomial.
Solution:
We have,
[tex]x^3+4x^2+16x+64[/tex]
Using grouping method, we get
[tex]=(x^3+4x^2)+(16x+64)[/tex]
[tex]=x^2(x+4)+16(x+4)[/tex]
[tex]=(x+4)(x^2+16)[/tex]
[tex]=(x+4)(x+4i)(x-4i)[/tex] [tex][\because x^2+y^2=(x+iy)(x-iy)][/tex]
Therefore, the correct option is C.
The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?
Answer:
jhhfhgk
Step-by-step explanation:
Answer:
Hey, the correct nswer is option A
Step-by-step explanation:
A. V = [tex]\pi[/tex]r3
Here is a right square pyramid. The length of each side of the base is 3 cm. The height of the pyramid is 8 cm. What is the volume of this pyramid?
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Answer:
24 cm³
Step-by-step explanation:
The volume is given by the formula ...
V = 1/3s²h
where s is the side length of the square base, and h is the height.
V = (1/3)(3 cm²)(8 cm) = 24 cm³
The volume of the pyramid is 24 cm³.
1/4 divided bye 3/3 is what
Step-by-step explanation:
.25 or 1/4 hope this helps
Answer:
1/4
Step-by-step explanation:
Any expression divided by itself equals 1
1/4÷1
Any expression divided by 1 remains the same
1/4
the solution is 1/4
Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Write an equation where the solution represents the amount of money (x), in dollars, craig has after michael buys the hat. Explain how you came to this equation.
Answer:
X + 4 = 48
Step-by-step explanation:
Before hat purchase :
Michael has $68
Craig has $24 less than Michael;
Hence, Craig = $68 - $24 = $44
Michael purchased hat worth, $20
x = amount Craig has after Michael purchase hat:
x = Amount Michael has - $24
Amount Michael has after hat purchase = $68 - $20 = $48
x + 4 = 44 + 4
X + 4 = 48
Lerna's Hydra is a mythological character that appears in some stories such as the 12 Tasks of Hercules. The Hydra was a one-headed monster but when it is cut off, 2 more heads grow in its place. If a hero tried to conquer it by cutting off all of its heads every day, how many heads would there be on day 5
Answer:
day 1- 1 head
day 2- 1x2= 2 heads
day 3- 2x2= 4 heads
day 4- 4x2= 8 heads
day 5- 8x2= 16 heads
I need help on solving these problems.
Answer:
the fist one is A and the second one is D
Step-by-step explanation:
NEED HELP ASAP PLEASE
Answer:
729
Step-by-step explanation:
9x9x9 = 729 in^3
Mr. Bucci goes to the grocery store and purchases
17 bags of raisins and a $2.97 jar of peanut butter.
His total cost was $34.76. What was the cost for a
bag of raisins?
Help
Compare the graph of y = 4x and y = 4x + 1.
how are they the same how are they different
Answer:
Step-by-step explanation:
Notice that the difference is in the y-intercept. The first equation has a y-intercept of 0 since y = 4x + 0, the second has a y-intercept of 1 since
y = 4x + 1. In other words, the graph is translated up 1 unit to cross at (0,1) instead of (0,0)
Please help me ASAP
Answer:
b
Step-by-step explanation:
Answer:
Option B.
Step-by-step explanation:
What are the odds that the spinner lands on red or the number 4?
4
4
2
33
Answer:
5 to 3
Step-by-step explanation:
The desired outcomes are 4 or red.
Here are all the possible outcomes:
1 red
1 red
1 red
2 green
3 blue
3 blue
4 yellow
4 yellow
The desired outcomes are in boldface. There are 5 desired outcomes.
There are 3 outcomes that are not desired.
odds of 4 or red = 5 to 3
Answer:
5/8
Step-by-step explanation:
You deposit $1500 in an account that pays 5% interest compounded yearly. Find the balance after 6 years. please help
1500+5%= 1505 that is the answer I got I hope this was helpful
a computer company features a new model with the larger 20-in flat panel display. the flat panel sizes it diagonal length of its screen. the new computer joins earlier computer models with 15 and 17 inch screens.
Answer:
Step-by-step explanation:
a computer company features a new model with the larger 20-in flat panel display. the flat panel sizes it diagonal length of its screen. the new computer joins earlier computer models with 15 and 17 inch screens.
1. Both of the equations shown have the same solution when solved for x. What is the value of k? Show or explain all your work.
Captionless Image
Your answer
Answer:
1
Step-by-step explanation:
you need to multiplau with is 12x+9-42
If you need to construct a dog run for your dog and the total perimeter needs to be 40 feet, and you only have enough room to make it 5 feet wide, how long can you make the dog run?
Answer:15 ft
Step-by-step explanation:
Given
The total perimeter needed is [tex]40\ ft[/tex]
The available width of the room is [tex]w=5\ ft[/tex]
Suppose l is the length of the room
So, the perimeter of a rectangle-shaped room is [tex]2(l+w)[/tex]
Putting values
[tex]\Rightarrow 40=2(l+5)\\\Rightarrow l+5=20\\\Rightarrow l=15\ ft[/tex]
HELP! What is equivalent to (8.4z+2.5)+(-3.7x+5
Answer: -21x + 32z + 15
Step-by-step explanation:
How does the graph of g(x) compare to the graph of the parent function f(x)?
thinking you braindead mf
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 cos 5θ
Answer:
It's symmetrical to the origin
Step-by-step explanation:
Use desmos for further graphing
please help me and solve these, i will give brainliest and worth 25 points!!
Answer:
1. 168 cm^{2}
2. 156 in^{2}
3. 30 cm^{2}
4. 360 ft^{2}
Step-by-step explanation:
All ratio questions. We can set up proportions then cross multiply
1. \frac{8}{12} \frac{112}{x}
8x = (112 x 12)
8x = 1344
x = 168m
2.\frac{4}{8} \frac{78}{x}
4x = (78 x 8)
4x = 624
x = 156in
3. \frac{5}{2} \frac{75}{x}
5x = (75 x 2)
x = 30cm
4. \frac{8}{10} \frac{288}{x}
8x = ( 288 x 10 )
8x = 2880
x =360ft
y is less then or equal to 1/2x plus 2
2
Step-by-step explanation:
I think it 4/2 because I multiplied it
plsss help i’ll give brainliest if you give a correct answer
Answer:
1800
Step-by-step explanation:
Find y, ST and TU
Please help!
Given:
[tex]ST=4y,TU=2y+6[/tex]
To find:
The value of y, ST and TU.
Solution:
In triangle STV and UTV,
[tex]m\angle TSV\cong n\angle TUV[/tex] (Given right angles)
[tex]m\angle SVT\cong n\angle UVT[/tex] (Given)
[tex]TV\cong TV[/tex] (Common side)
The corresponding two angles and a non included sides in both triangles are congruent. So, the triangles are congruent by using AAS congruence postulate.
[tex]\Delta STV\cong \Delta UTV[/tex] (AAS congruence postulate)
Corresponding parts of congruent triangles are congruent. So,
[tex]ST\cong UT[/tex] (CPCTC)
[tex]4y=2y+6[/tex]
[tex]4y-2y=6[/tex]
[tex]2y=6[/tex]
[tex]y=3[/tex]
Now,
[tex]ST=4y[/tex]
[tex]ST=4(3)[/tex]
[tex]ST=12[/tex]
And,
[tex]TU=2y+6[/tex]
[tex]TU=2(3)+6[/tex]
[tex]TU=6+6[/tex]
[tex]TU=12[/tex]
Therefore, [tex]y=3,\ ST=12\ units,\ TU=12\ units[/tex].
what dose 0.31 × 1.4 =
A helicopter flew north 325 meters and then flew east 500 meters. How far is the helicopter from its starting point?
Answer:
596.34m approx
Step-by-step explanation:
Given data
Let the Starting point be x
A helicopter flew north 325 meters from x
Then flew east 500 meters
Let us apply the Pythagoras theorem to solve for the resultant which is the distance from the starting position
x^2= 325^2+500^2
x^2=105625+250000
x^2= 355625
x= √355625
x=596.34m
Hence the distance from the starting point is 596.34m approx
A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest tenth.
Answer:
13.9
Step-by-step explanation:
7² x 12² = 49 + 144 = 193
√193= 13.89
How to do surface area- cylinder worksheet
Answer:
to find surface area of cylinder
A=2πrh+2πr²
Step-by-step explanation:
The volume of a rectangular prism is 300 ft 3 . If the area of the base is 12 ft 2 , what is its height?
15 feet
24 feet
12 feet
25 feet
Answer: pretty sure 25 feet
Step-by-step explanation:
the volume of a cube is 8 cubic feet. what is the length of each side
Answer:
2
Step-by-step explanation:
2 x 2 x 2 = 8
1.1
LKR
(2)
1.2
R
(2)
1.3
N
[6]
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Answer:
1.1 ∠LKR = 90°
1.2 ∠R = 32°
1.3 ∠N = 32°
Step-by-step explanation:
1.1 An inscribed angle is half the measure of the arc it subtends. Angle LKR is half the measure of the arc of semicircle LNR, so is 90°.
∠LKR = 90°
__
1.2 ΔLKR is a right triangle with angles L1 = 58°, ∠K = 90°, so ∠R is ...
∠R = 90° -58°
∠R = 32°
__
1.3 ∠N subtends the same arc LK that ∠R does, so it has the same measure.
∠R = ∠N = 32°
Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below.
300 mm
200 mm
50 mm
Complete question :
Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. Obtain the area of the front face of the model.
Answer:
12500 mm²
Step-by-step explanation:
The front face of the mode consista of both triangle and rectangle
Area of rectangle :
Height * Base
Height = 200 m ; Base = 50
Area = 200 m * 50 m = 10,000 mm²
Area of triangle :
1/2 * base * height
1/2 * 50 * (300 - 200)
1/2 * 50 * 100
= 2500 mm²
Area of front face = Area of rectangle + Area of triangle
Area of front face = (10,000 + 2500) m²
Area of front face = 12500 mm²
