Find the function p defined by a polynomial of degree 3 with real coefficients that satisfy the given condition. two of the zeros are 4 and 1+i
How many pairs of parallel line segments are shown?
1. 8
2. 24
3. 4
4. 18
Answer: The correct answer is 8
Please help me out!! :)
We need to find the area of the regular polygon as shown in the image.
Now in a regular hexagon the line joining the center and the vertex of a hexagon have the same length as the length of each side. (Refer the attached image)
[tex]10 \sqrt3cm=10 \times 1.732=17.32 cm[/tex]
A regular hexagon is made up of 6 equilateral triangles inside which means all the sides are of the same length.
Now, we know that the length of a side of an equilateral triangle is [tex]10 \sqrt 3[/tex] cm. So the area of one equilateral triangle is:
[tex]\frac{\sqrt 3}{4} \times (a)^2[/tex]
Where, 'a' is the side length of the equilateral triangle.
Therefore, area [tex]= \frac{\sqrt 3}{4} \times (10 \sqrt3)^2= \frac{\sqrt 3}{4} \times 100 \times 3=75 \sqrt3[/tex] square centimeters.
Now that we have the area of one equilateral triangle and there are 6 of them in a regular hexagon we can find the area of hexagon.
So, the area of given regular polygon is [tex]=6 \times 75 \sqrt 3=450 \sqrt 3 cm^2[/tex].
# 11 let f(x) =x^2 and g(x) =x-1. find (f o g)(-3)
#12 let f(x)= 5x+3 and g(x) =x^2-x+1
preform the function operating then find the domain.
g(x)-f(x)
ABCD∼EFGH
AD=45 in. , EH=75 in. , and AB=30 in.
What is EF ?
Enter your answer in the box.
EF =
in.
Also Triangle ABC undergoes a series of transformations to result in triangle DEF .
Is triangle DEF congruent to triangle ABC ?
Select Congruent or Not congruent for each description.
Description Congruent Not congruent
Triangle ABC is rotated 90° clockwise, and then reflected over the line y=x to form triangle DEF.
Triangle ABC is reflected over the x-axis, and then dilated by a factor of 12 to form triangle DEF.
Triangle ABC is rotated 180°, and then translated 4 units down and 2 units right to form triangle DEF.
and
A point at (−1, 10) is rotated 90° counterclockwise about the origin.
What are the coordinates of the resulting image?
(−1, −10)
(1, −10)
(−10, −1)
(10, 1)
The vertex form of the equation of a parabola is X=(y-3)^2+41. What is the standard form of the equation?
Answer: x=Y^2-6y+50
For APEX
Answer:
x=y^2-6y+50 i need to have more than characters so hdgyhejdufcyhgedhwbsnjdeufhdebwjnkdeufyhedgbw
What is the value of the 5 in 3 590 answer in words
The area of a soccer field at 7700 yd.². The width of the field is 70 yards. What is the perimeter of the field?
Polygon ABCD is rotated 90º counterclockwise about the origin to create polygon A′B′C′D′. Match each set of coordinates to the vertices of polygon A′B′C′D′. Tiles A′ (-1, 3) B′ (-2, 2) C′ (-2, 1) D′ (-1, 1)
<---->
<---->
<---->
<---->
Look at the picture.
Answer:
A'(-1, 1), B'(-2, 1), C'(-2, 2), D'(-1, 3)
Answer:
A' = (-1,3) - A = (3,11)
B' = (-2,2) - B = (2,2)
C' = (-2,1) - C = (1,2)
D' = (-1,1) - D = (1,1,)
Step-by-step explanation:
We have the polygon ABCD transformed to the polygon A'B'C'D' with the co-ordinates,
A' = (-1,3), B' = (-2,2), C' = (-2,1) and D' = (-1,1).
Since, the polygon is rotated 90 counterclockwise about the origin.
The co-ordinates (x,y) of ABCD will change to (-y,x) for A'B'C'D'.
So, we will change the co-ordinates (-y,x) of A'B'C'D' to (x,y) which gives the co-ordinates of ABCD.
That is,
Take the y-value to the 1st position and x-value to the second multiplied by negative sign.
Thus, we have,
A' = (-1,3) ------------------ A = (3,1)
B' = (-2,2) ------------------ B = (2,2)
C' = (-2,1) ------------------ C = (1,2)
D' = (-1,1) ------------------- D = (1,1,)
Which is the equation of a line that is perpendicular to the line represented represented by y = 3/4x - 1/2 ?
The equation of a line that is perpendicular to the given line is y = -4/3x + c.
What is equation of a line?The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.
For the given situation,
The equation of a line is y = 3/4x - 1/2 ------ (1)
The general form of equation of line in slope intercept form is
[tex]y=mx+c[/tex]
On comparing the equation 1 with general form,
Slope of the line, [tex]m=\frac{3}{4}[/tex]
Then, the slope of the line perpendicular to the given line is [tex]\frac{-1}{m}[/tex]
⇒ [tex]\frac{-1}{m}=\frac{-1}{\frac{3}{4} }[/tex]
⇒ [tex]\frac{-1}{m}=\frac{-4}{3}[/tex]
No points were defined that this 'normal' should pass through, so its intercepts are indeterminate.
Thus the equation of line in slope intercept form is
[tex]y=\frac{-4}{3}x+c[/tex]
Hence we can conclude that the equation of a line that is perpendicular to the given line is y = -4/3x + c.
Learn more about equation of a line here
https://brainly.com/question/1548429
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Factor the expression. 4x(x^2 − 7) + 3(x^2 − 7)
To factor an expression, you need to analyze it and find a common variable or expression on the expression given. In this expression, you can observe that the expression x^2 – 7 is common to the two terms. You need to factor it out from the both of them.
4x (x^2 – 7) + 3 (x^2 – 7)
(x^2 – 7) (4x + 3)
This is already the complete factor of the expression.
Will FAN and MEDAL
A plane is located at C on the diagram. There are two towers located at A and B. The distance between the towers is 7,600 feet, and the angles of elevation are given.
a. Find BC, the distance from Tower 2 to the plane, to the nearest foot.
b. Find CD, the height of the plane from the ground, to the nearest foot.
Suppose the number of dropped footballs for a wide receiver, over the course of a season, are normally distributed with a mean of 16 and a standard deviation of 2.
What is the z-score for a wide receiver who dropped 13 footballs over the course of a season?
A. −3
B. −1.5
C. 1.5
D. 3
The correct answer is option B. -1.5.
To calculate the z-score for a wide receiver who dropped 13 footballs over the course of a season, we use the z-score formula:
z = (X - μ) / σ
where:
X is the value to be standardized (13 footballs in this case)μ is the mean (16 footballs)σ is the standard deviation (2 footballs)Substitute the values into the formula:
z = (13 - 16) / 2
This simplifies to:
z = -3 / 2 = -1.5
Therefore, the z-score for a wide receiver who dropped 13 footballs is B. -1.5.
Find the surface area of the cylinder to the nearest tenth of a square unit with a radius of 3cm and a height of 18.2 cm. use 3.14 for pi.
Final answer:
The surface area of a cylinder with a given radius of 3 cm and height of 18.2 cm is calculated using the formula 2πr(height + r), which results in approximately 400.1 square centimeters.
Explanation:
The question asks to find the surface area of a cylinder with a radius of 3 cm and a height of 18.2 cm, using 3.14 for pi. The formula for the surface area of a cylinder is 2πr(height + r), where r is the radius, and the height is the vertical dimension of the cylinder.
Plugging in the given values:
Radius (r) = 3 cmHeight = 18.2 cmPi (π) = 3.14We get: Surface Area = 2 * 3.14 * 3 * (18.2 + 3) = 2 * 3.14 * 3 * 21.2 = 400.1 cm²
Therefore, the surface area of the cylinder, rounded to the nearest tenth, is 400.1 square cm.
WXYZ is a square. If WT=3, find each measure
In this exercise we have to use the knowledge of quadrilaterals to calculate the measures of each side of the square, in this way we can say that it will be valid:
[tex]ZX = WY = 6[/tex]
Given in the exercise that each the value of:
WT=3The diagonals of a square are congruent, and bisect each other, that will help to find:
[tex]WT=3\\ ZX = WY = 2(WT) = 6[/tex]
See more about square at brainly.com/question/13747846
How many hours of training would you need to have a salary of $1,265? 20 points
Hours of Training / Monthly Salary
10 1250
20 1400
30 1550
40 1700
50 1850
60 2000
70 2150
Write a explicit equation for the sequence 6,18,54,162,...
(15,-9) is dilated by a scale factor of 3 what is its new location
What is the simplified form of the quantity of x plus 5, all over the quantity of 9 − the quantity of x plus 4, all over the quantity of x plus 6?
Answer:
The answer above is the correct answer
An engineer earns $6000 per month. A contractor makes $80 per hour, while a teacher gets basic salary of $3000 and $50 per hour any additional job. Considering a month, which job
is better;when, and why? Justify your answer using graphs,equations, and tables
geometry easyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
what is the value of x
plz do not guess will mark brainlist do not comment any questions evrey thing you need is up there just post the answer
Andrea recorded the points she scored in her last eight basketball games. What is the mean absolute deviation of the scores
28,32,47,16,40, 35,38,54
Is 5,783 − -500,500 positive or negative?
we know that
A positive number minus a negative number is equal a positive number
so
we have
[tex]5,783-(-500,500)=5,783+500,500=506,283[/tex]
therefore
the answer is
A positive number
Which of the following is an example of inductive reasoning?
A)Math seems fun so you conclude that everyone loves math.
B)All of your friends love math so you conclude that everyone loves math.
C)All of your friends love math. Jo loves math, therefore Jo is your friend.
D)You love math. Jo doesn't love math. Jo is not your friend.
Answer:
The answer is A
Which graph represents the function?
Write a trinomial in one variable of degree 5 in standard form.
A polynomial of one-variable is given by following expression :-
[tex] Ax^n + Bx^{n-1} +Cx^{n-2}+Dx^{n-3}+Ex^{n-4}+..... [/tex]
where A, B, C, D, E are the coefficients of terms in the polynomial and x is variable of the equation.
A is the leading coefficient and it can not be zero i.e. A≠0.
n is the degree of the polynomial.
It says to write a trinomial in one variable of degree 5.
Trinomial means only three terms with non-zero coefficients, and degree 5 means n = 5.
There could be many answers, but an example of "trinomial of degree 5" would be :-
[tex] Ax^5 + Bx^4 + Cx^3 [/tex]
[tex] 3x^5 + 5x^4 + 2x^3 [/tex]
A trinomial in one variable of degree 5 in standard form is [tex]\( ax^5 + bx^3 + cx \),[/tex] where [tex]\( a \), \( b \), and \( c \)[/tex] are non-zero coefficients and [tex]\( a \neq 1 \)[/tex].
A trinomial is a polynomial with three terms. The degree of a polynomial is the highest power of the variable that appears in the polynomial with a non-zero coefficient. Since we are asked to write a trinomial of degree 5, the highest power of the variable x must be 5.
The standard form of a polynomial lists its terms in descending order of their degrees. Therefore, the first term of our trinomial must be [tex]\( ax^5 \),[/tex] where a is a non-zero coefficient, and [tex]\( a \neq 1 \)[/tex] to ensure that the coefficient is explicit.
Since we want a trinomial, we need two more terms. The next term should have a lower degree, and since we're dealing with a degree 5 polynomial, the next possible lower odd degree is 3 (we choose an odd degree to maintain the trinomial structure with distinct powers). This gives us the second term [tex]\( bx^3 \),[/tex] where b is also a non-zero coefficient.
The third and final term of our trinomial must have a degree lower than 3. The next possible lower odd degree is 1, which gives us the term [tex]\( cx \),[/tex] where c is again a non-zero coefficient.
Putting it all together, we have the trinomial [tex]\( ax^5 + bx^3 + cx \)[/tex] as the standard form of a degree 5 polynomial with three terms.
Explain why the equation x^2+y^2=1 does not define y as a function of x
What is the value of y if (4y + 8) - (7y - 12) = 11? (PLEASE ANSWER + 10 POINTS!!!!)?
I need some help on this triangle similarity proof in Geometry!