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.
a
2.1 cm
2.9 cm
Find the value of a.
Step-by-step explanation:
[tex]a = \sqrt{ {2.9}^{2} - {2.1}^{2} } = \\ = \sqrt{8.41 -4.41 } = \\ \sqrt{4 } = 2[/tex]
HELP ME!!! I WILL GIVE BRAINLIEST AND 15 POINTS!!!!!!!!
Evaluate each expression for n = 3, p = 10.5, t = -2, y = 4.
Solve
1.) 3n + 2t
2.) ny - 6 + p
100 points! Please help! If the total perimeter of the triangle is 5x 3+ 4x 2− x – 3, what is the length of the third side of the triangle? (This will require subtraction) Please show steps
Answer:
What is the length of the third side of the triangle? The Answer Is -9
Step-by-step explanation:
Always use your calculator and type in your equation " 5 x 3 + 4x 2− x – 3" i think this helped but i have no idea good luck though
May someone please help me with this :)
Answer:
14.3 yd
Step-by-step explanation:
apply the pythagorean Theorem formula:
= sqrt(14^2 +3^2)
= sqrt(205)
roughly 14.3 yd
will give brainliest! question in pic! help asapp!
Answer: D
Step-by-step explanation:
Answer:
[tex]6x^{2}+10x-12[/tex]
Step-by-step explanation:
Renaldo says that parallel lines intersect a circle at opposite
ends of the same diameter. If a line is tangent to a circle, then
the radius of the circle is perpendicular to the line at the point of
tangency. Does this fact support Renaldo's conjecture? Explain
Answer:
Yes
Step-by-step explanation:
Noted that the claim only stands true IF BOTH OF THE LINES ARE TANGENT TO THE CIRCLE. [If one line cut the circle at 2 distinct points, the claim is false]
This can be explained with tangent properties. Consider a circle with radius r, by tangent properties, then the radius of the circle is perpendicular to the line at the point of tangency as stated in the question. Since the two lines are parallel, we can bring back up parallel lines theory, the alternative angles of the two tangent to the circle is equal to 90.
Try to draw a line linking the two points of tangent passing through the radius, it is the diameter of the circle, thus parallel lines intersect a circle at opposite ends of the same diameter.
A bag contains 3 white balls, 4 green balls, and 5 red balls. A ball is drawn at random. How many total number of outcomes are there?
Answer:
12
Step-by-step explanation:
5+4+3 = 12
Answer:
12 is the total outcome.......
Step-by-step explanation:
3+4+5=12 is the ans.....
hope this will help u.....
What does S in Math means?
Step-by-step explanation:
subtract
i think this
Please help me ASAAAPPPP I need help rn !
Answer:
1099 in.²
Step-by-step explanation:
2πr²+2πrh
2×3.14×5×5+2×3.14×5×30
157+942
1099 in.²
Answer:
1099 in. ²
Step-by-step explanation:
because of how its measured
Keith needs to build a bridge to go across a pond. He has been able to collect the following measurements. About how long does this bridge need to be
Answer:
[tex]\Huge\boxed{11.9}[/tex]
Step-by-step explanation:
Hello There!
Basic Concepts
Geometry
Once again we are going to need to use trigonometric ratios to solve for a missing side length (the length of the bridge)
Here are the trigonometric ratios
Sine - Opposite over Hypotenuse
Cosine - Adjacent over Hypotenuse
Tangent - Opposite over Adjacent
For the angle that has a measure of 50 degrees
we are given its adjacent side length and we need to find its opposite
When working with the opposite side length and adjacent side length we use the trigonometric ratio tangent
Knowing which trigonometric ratio we are going to use we have to create an equation
Remember tan = opposite over adjacent
So we plug in the given information and solve for the missing information ( In this case the opposite side length)
[tex]tan(50)=\frac{x}{10}[/tex]
Basic Algebra
Now we solve for x
Like always we want to isolate the variable
First we want to get rid of the 10
x is being divided by 10 and the inverse of division is multiplication
So we multiply each side by 10
[tex]tan50*10=10tan50\\\frac{x}{10} *10=x\\[/tex]
now we have
[tex]10tan50=x\\[/tex]
finally we plug in 10tan50 into a calculator to get the value of x
we get that x = 11.91753594
Our last step is to round to the nearest tenth
We can conclude that the answer is 11.9
The bridge needs to be 11.92 feet long by calculating the tangent of the given angle.
What is tangent of an angle?Tangent of an angle in a right-angled triangle is the ratio of the height to the base of the triangle.
Let, the bridge is x ft. long.
Therefore, tan 50° = [tex]\frac{x}{10}[/tex].
⇒ x = 10 × tan 50°
⇒ x = 10 × 1.192
⇒ x = 11.92
Therefore, the bridge is 11.92 ft. long.
Learn more about tangent of angle here: https://brainly.com/question/14346186
#Tag #SPJ2
find the area of the composite figure 12 yd height 10 yd base
Answer:
120 yd^2
Step-by-step explanation:
1. 12x10= 120
2. 120 yd ^2
Melissa has a total of $250 in her savigns account. She started with $110 and then earned the rest of her savings by babysitting. Melissa charges $7 per hour. Write an equation to represent the situation and determine the number of hours (h) she babysat last week.
Answer:
Number of hours= 20 hours
Step-by-step explanation:
Giving the following information:
Net savings (babysitting)= 250 - 110= $140
Rate per hour= $7
To calculate the number of hours that Melissa worked as a babysitter, we need to use the following formula:
Number of hours= net savings / rate per hour
Number of hours= 140 / 7
Number of hours= 20 hours
Ahab wants to buy a garden statue that is 10% off. The original price
is $24.02.
What is amount of discount (nearest hundredth)?
Answer quick pls :,)
Answer:
$21.62
Step-by-step explanation:
Answer:
14.02
Step-by-step explanation:
first subtract 10 from 24 u got the answer easy
I’ll really appreciate it if you help me out with this one .
Answer:
Linear Function
Step-by-step explanation:
Every time x goes down by 2 y drops by 4. This represents a pattern and has a definitive slope. (It has a constant rate of change.)
The light from the Cape Florida Lighthouse in Key Biscayne is visible for a distance of 15 mi. If the beam of light sweeps in an arc of 270°, what is the area covered by the beam?
Answer:
Area covered by beam = 530 mi² (Approx.)
Step-by-step explanation:
Given:
Radius = 15 mi
Arc angle = 270°
Find:
Area covered by beam
Computation:
Area of sector = [θ/360][π][r²]
Area covered by beam = [270/360][22/7][15²]
Area covered by beam = [0.75][3.1428][225]
Area covered by beam = 530 mi² (Approx.)
Micki bought 4 gallons of apple cider. How many quarts did she buy?
Answer:
16
Step-by-step explanation:
There are four quarts in a gallon. 4x4=16.
Answer:
4 quarts per gallon
4 quarts times 4 gallons= 16 quarts
-18x+2x-15x+23x-12x-4x
Combine like terms
Answer:
-24x
Step-by-step explanation:
Combining them all leads you to get -24x.
If the ratio of radii of two spheres is 4:7, find the ratio of their volumes.
Answer:
volume is equal to ratio
Answer:
This is your answer. If I'm right so,
Please mark me as brainliest. thanks!!!
30% of what number is 7.5??
Answer:
x = 25
Step-by-step explanation:
the question can be given as x * .3 = 7.5, or rearanged into
7.5/0.3 = x
75/3 = x if you multiple the fraction by 10/10
x = 25 in this case
Help please! I know this is easy but I don’t know what to do!
Answer:
b
Step-by-step explanation:
Pls help me I need this done . Look at picture . What is the measure of..
The anwer is 62 degrees
Step-by-step explanation:
angle x and the angle with a measure of 62 degrees are alternate exterior angles therefore they are congruent
In Holborn School there are
460 students in Key Stage 3
320 students in Key Stage 4
165 students in Key Stage 5
Nimer is carrying out a survey.
He needs a sample of 100 students stratified by Key Stage.
Work out the number of students from Key Stage 3 there should be in the sample.
(2 marks)
students
Submit Answer
Skip for Now
Answer:
Total students = 460+320+165=945
Key stage 3 ... asafraction = 460 divide by 945
the number in a sample of 100 = 460 divide by 945 x 100= 48.67
So 48 or 49 (are both, acceptable answers).
if x = 5, find the value of x²
Answer:
25
Step-by-step explanation:
x² is actually the same as x×x, which in this case, 5×5 = 25
Answer:
25Step-by-step explanation:
x² = 5²
5² = 5 times 5 =
25_____________________
#IndonesianPride - kexcvi
Could 85, 13 and 84 be the side length of a right triangle?
Answer:
No because the side lengths won't equal the hypotenuse
Step-by-step explanation:
85^2 + 13^2 ≠ 84^2
help with my khan academy assignment please
Graph the equation y = 4x − 5 using slope and y−intercept.
on a graph
Ok so my mom is verbally abusive towards me and makes me cry almost everyday. I really want to run away but I have cameras all sides and some inside and a tracker on my phone that can read texts and show my precise location. I can’t go out of the window because my room has a sensor and I don’t have a roof slope like most of y’all do. I could go out of the kitchen window but one of the backyard cameras will see me jump the fence and leave. what do you think i should do? And what to pack because if I run away today I need to know what to pack and advice.
Answer:
turn on air plane mode then connect to the wifi or use vpn
Step-by-step explanation:
One leg of a right triangle is 7 and the hypotenuse is 10. What is the length of the
other leg?
Answer:
L = 7.14
Step-by-step explanation:
using the Pythagorean theorem:
L² = 10² - 7²
L² = 100 - 49= 51
L = 7.14
Answer:
7.14
Step-by-step explanation:
to answer this you need to use pythagoras theorem and that is A²+B²=c²
in this case C²-A²=B²
10²=100
7²=49
100-49=51
then you need to square root 51 which gives your answer 7.14
Brainliest for the correct answers
Answer:
a) 3a + 8b = 93
Hope this helps!
Please Help! Evaluate this expression 10.82-9.99
A. 0.53
B. 0.83
C. 1.01
D. 1.23