Givem that at n = 3: 4 and 4i are zero;
Then;
[tex](x - 4)(x - 4i)(x + 4i) \: (x - 4)( {x}^{2} - ( {4i)}^{2} \\ (x - 4)(x - 4i)(x + 4i) \: (x - 4)( {x}^{2} + 16) \\ (x - 4)(x - 4i)(x + 4i) \: {x}^{3} + 16x - {4x}^{2} - 64 \\ (x - 4)(x - 4i)(x + 4i) \: {x}^{3} - {4x}^{2} + 16x - 64[/tex]
Hence the function is:
[tex]f = {x}^{3} - {4x}^{2} + 16x - 64[/tex]
5 in
Area
6 in
7 in
10 in
15 in
HELP I NEED TO FIND AREA
Answer:
84in
Step-by-step explanation:
10 times 5 = 50 (top half)
7 times 4 = 28 (bottom half)
3 times 4 = 12 / 2= 6 (triagle)
I don’t understand this A gym has 11 rows of elliptical machines with 13 machines in each row. The gym also has 14 rows of treadmills with 12 treadmills in each row. What is the maximum number of people that can use the elliptical machines and the treadmills at the same time?
Answer:
311
Step-by-step explanation:
11x13=143
14x12=168
143+168=311
please help, and show work if you can :))
Answer:
x=4
Step-by-step explanation:
Hey There!
So if DE is the midsegment then to find x you divide the length of AE by 2
8/2=4
Therefore x=4
in isosceles trapezoid EFGH, FG parallel EH, FG=10, GH=12, and ∠E=60. Find the area of EFGH.
Answer:
22√3 units squared
Step-by-step explanation:
1) Draw the trapezoid
2) Notice you have to find the height to find the area of the trapezoid
3) Notice it is a 30 60 90 triangle when you draw the line to find the height
4) Solve for the 30 60 90 triangle and you get the height to be 2√3
5) Solve for the area of the trapezoid using this formula A= 1/2 h ( b1 + b2)
6) Fill in the numbers for the equation A= 1/2∙ 2√3 ( 10 + 12)
7) Keep aside the 1/2 for now
8) Simplify equation 2√3 + 22 or 2√3 + (10 + 12)
9) Simplify further 44√3
10) Now bring back the 1/2 and put it in the equation 1/2∙ 44√3
11) Simplify to get 22√3
12) 22√3 is the area of the trapezoid
13) 22√3 units squared is the final answer
I will put a my drawing of the trapezoid for reference and this is what I used to solve the question.
If you want to know how I solved the 30 60 90 triangle please let me know.
Sorry I was one week late I just saw it today.
:D
Find the value of or in the triangle shown below. 97 47
The diameter of a circle is 14 inches. What is the area? Give the exact answer in simplest form
Answer:
153.94 or 154 if your teacher told you to round.
Step-by-step explanation:
Answer:
A = 49π
Step-by-step explanation:
A = πr² = π(7)²
= 49π ≈ 153.94
Help me please will mark brainliest
Answer:
197in^2
Step-by-step explanation:
5x5=25(top face)
5x5=25(left face)
9x5=45(bottom face)
6.4x5=26(right face)
Front and behind face: trapezoid area (trapezoid formula h x (a+b)/2)
(5+9)/2 x 5=7x5=35
35+35+25+25+45+25=197in^2
PLEASE HELP (TEST)
A 31.5 centimeters
B 98.91 centimeters
C 197.82 centimeters
D 3,115.67 centimeters

Answer:
c is correct , half of 63 is 31.5 and since the formulae for circumference is 2pir
then : 2×3.142 × 3.14 =197.82cm
Complete the statement. 400 mm = ___ cm
Answer:
40 cm
Step-by-step explanation:
divide the length value by 10
400 / 10 = 40
Answer:
400 mm = 40 cm
Step-by-step explanation:
how do you find the x for this and the angles, thanks in advance
HOPE THIS HELPS...
Hooke's law is a law of physics that states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, Fs = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. The law is named after 17th-century British physicist Robert Hooke. He first stated the law in 1676 as a Latin anagram.[1][2] He published the solution of his anagram in 1678[3] as: ut tensio, sic vis ("as the extension, so the force" or "the extension is proportional to the force"). Hooke states in the 1678 work that he was aware of the law since 1660.
Hooke's equation holds (to some extent) in many other situations where an elastic body is deformed, such as wind blowing on a tall building, and a musician plucking a string of a guitar. An elastic body or material for which this equation can be assumed is said to be linear-elastic or Hookean.
Hooke's law is only a first-order linear approximation to the real response of springs and other elastic bodies to applied forces. It must eventually fail once the forces exceed some limit, since no material can be compressed beyond a certain minimum size, or stretched beyond a maximum size, without some permanent deformation or change of state. Many materials will noticeably deviate from Hooke's law well before those elastic limits are reached.
On the other hand, Hooke's law is an accurate approximation for most solid bodies, as long as the forces and deformations are small enough. For this reason, Hooke's law is extensively used in all branches of science and engineering, and is the foundation of many disciplines such as seismology, molecular mechanics and acoustics. It is also the fundamental principle behind the spring scale, the manometer, and the balance wheel of the mechanical clock.
The modern theory of elasticity generalizes Hooke's law to say that the strain (deformation) of an elastic object or material is proportional to the stress applied to it. However, since general stresses and strains may have multiple independent components, the "proportionality factor" may no longer be just a single real number, but rather a linear map (a tensor) that can be represented by a matrix of real numbers.
In this general form, Hooke's law makes it possible to deduce the relation between strain and stress for complex objects in terms of intrinsic properties of the materials it is made of. For example, one can deduce that a homogeneous rod with uniform cross section will behave like a simple spring when stretched, with a stiffness k directly proportional to its cross-section area and inversely proportional to its length.
Step-by-step explanation:
2x + 15° + x = 180° { Being co-interior angles }
3x = 180°- 15°
3x = 165°
x = 165° / 3
x = 55°
2x + 15° = 2 *55° + 15° = 125°
Hope it will help :)❤
Please help me Mr Thompson!!! MY HOMEWORK!
Answers:
C) Factored form.C) Standard form.D) -8B) y = x^2B) 2 solutions: x = plus/minus 5======================================================
Explanations:
Factored form is whenever we have two or more expressions being multiplied like you see here. A more simpler example may be breaking 36 into 12*3, or 36 = 12*3. We say that 12*3 is the factored form of 36. The two pieces 12 and 3 multiply to 36.Standard form for quadratics is ax^2 + bx + c. The exponents count down: 2,1,0. You can think of it as ax^2 + bx^1 + cx^0. In this case, a = 2, b = 1, c = -3.The y intercept always occurs when x = 0. Plugging this value in leads to y = -8. The y intercept is located at (0,-8). The last value at the end, the constant term, is always the y intercept. This is one handy feature of standard form quadratic equations.The parent function of any quadratic is always y = x^2. From this parent function, we can derive any scaled version in the form y = ax^2, and we can also apply shifting to get y = (x-h)^2 or y = x^2+k. All together, we can generate y = a(x-h)^2 + k to represent both scaling and shifting. That last equation is vertex form which can convert to standard form shown in choice C. There are two solutions and the solutions are x = -5 and x = 5. Note how x^2 = (5)^2 = 25 and x^2 = (-5)^2 = 25. The two negatives cancel out when we multiply. Be sure to have the negative inside the parenthesis. We don't say -(5)^2 = -25.when graphing a system of equations with no solution the y-intercept of the two lines will be?
Answer:
The answer is B
Step-by-step explanation:
Sarah's sister has two summer jobs. The first job pays her $11 per hour. The second job pays her $14 per hour. In one month, she works 23 hours at the first job and 18 hours at the second job.
How much money did Sarah's sister earn that month?
Enter your answer in the box.
$
Yesterday 270 concert tickets were sold. Today 216 tickets were sold.
I need help, please.
Answer:
whats your question...?
Step-by-step explanation:
A group of 5 friends is out to dinner. Each of the friends will order the dinner special, and they
have a coupon for $10 off the entire bill. Which equation can be used to find the total cost of
all the dinners after the coupon is applied?
10d - 5 = 0
100 + 5 = 0
5d + 10 = 0
5d - 10 = 0
I NEED HELP BUT I DONT HAVE THE FREE TRIAL THING
Answer:
5d-10 =0
Step-by-step explanation:
Answer: 5d - 10 = C
-tay
Find each value or measure. Assume that segments that appear to be tangent are tangent. Find QS
Answer:
arc QS = 104°
Step-by-step explanation:
arc QTS = 2(128) = 256
arc QS = 360 - 256 = 104°
The measure of arc length QS is 104.
We have,
An inscribed angle is an angle whose vertex is on the circumference of a circle, and its sides are chords of the circle.
From the definition,
Inscribed angle = 1/2 x intercepted arc
Now,
128 = 1/2 x QTS
QTS = 256
Now,
QTS + QS = 360
256 + QS = 360
QS = 360 - 256
QS = 104
Thus,
The measure of QS is 104.
Learn more about arc lengths here:
https://brainly.com/question/16403495
#SPJ2
Make x the subject of the formula where x is positive
b= x -6 / x + 2
Answer:
[tex]b = \frac{x - 6}{x + 2} \\ b(x + 2) = x - 6 \\ bx + 2b = x - 6 \\ bx - x = - 6 - 2b \\ x(b - 1) = - 2(3 + b) \\ x = \frac{ - 2(3 + b)}{b - 1} [/tex]
Chen has $500 saved for a new TV. There is one on sale for $700. He can wait and save more money, or he can finance his purchase and make payments for two years. The payments add up to $850. Should he buy the TV on sale now?
Answer:
Yes, Chen should by the TV on sale. This is because in the end, he will have saved $150. Hope this helps you.
please help a girl out:
An isosceles triangle has an angle that measures 102°. Which other angles could be in that isosceles triangle?
Answer:
(180-102)/2 = 39° each (remaining 2)
Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem? StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction
If you could hurry please I'm on a time crunch!
Answer:
a.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Help please I’m confused
Answer:
Help with the answer or help understanding?
Step-by-step explanation:
Answer:
dsfsfafaf
Step-by-step explanation:
A dessert recipe calls for image cups of milk and makes 5 servings. How many cups of milk are needed for 8 servings?
Answer:
1.05
Step-by-step explanation:
Answer:
u;t5g3ji/lfvjk.dvnjfvjk.f
Step-by-step explanation:
please help me with this question!
Find the product. -7 x -8
Find the product. 9 x (-3)
Find the product. -3.5 x 12
Pls and thanks help me
What is the solution to 3/5x - 4/5 = 1/5x?
Answer:
2
Step-by-step explanation:
the answer is 2 ..........
Please answer quickly
Answer:
5.8
Step-by-step explanation:
2.5² + 5.2² = c² ≈ 5.8 units
Answer:
5.8
Step-by-step explanation:
√(2.5^2 + 5.2^2) = 5.77
5.77 to the nearest ones decimal point is 5.8
help me with this question!!!
Step-by-step explanation:
×=100
1. Divded 35 by 14 and u get 0.4
2
Divided 40 by 0.4 and u get 100
Answer:
16
Step-by-step explanation:
You could solve it two ways:
Cross multiply:
x times 35 = 35x
40 times 14 = 560
35x divided by 35 = x
560 divided by 35 = 16
x = 16
Or:
35 divided by 14 = 2.5
40 divided by 2.5 = 16
x = 16
Solve the following absolute value inequality. 3x - 727 x < 16 X > [?]
Answer:
-2
Step-by-step explanation:
3|x-7|<= 27
then |x-7|<=27/3=9
hence, -9<=x-7<=9
therefore, -2<=x<=16