Write a polynomial functionſ of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 1,3, and
2-i.
Answer:
f(x) = [tex]x^{4} - 8x^{3} + 24x^{2} - 32x + 15[/tex]
Step-by-step explanation:
First of all, if 2 - i is a zero, then so is 2 + i
All you need to do now is multiply (x - 1)(x - 3)(x - 2 + i)(x - 2 - i)
I will do part of that multiplication
(x - 2 + i)(x - 2 - i) = [tex]x^{2}[/tex] - 2x - xi - 2x + 4 + 2i + xi - 2i - [tex]i^{2}[/tex]
= [tex]x^{2}[/tex] - 4x + 5
So, now (x - 1)(x - 3)([tex]x^{2}[/tex] - 4x + 5) = [tex]x^{4} - 8x^{3} + 24x^{2} - 32x + 15[/tex]
I will let you finish that multiplication. I did some and you can do some. OK?
Find the slope of a line parallel to the graph of the equation: 9x + y = -13
1/9
-9
9
-1/9
Answer:
-9
Step-by-step explanation:
y = -9x - 13
y = mx + b
m is slope
how do I found X with this triangle?
Answer: 14
tip: search up oster Miller triangle calculator
a trapezoid is a parallelogram always sometimes never
Answer:
never
Step-by-step explanation:
trapezoids only have one set of parallel lines. a parallelogram has to have two or more
4) A 60 kg astronaut pushes against a 120 kg satellite with a force of 15 N. How much force does the satellite exert on the astronaut?
Answer:
30n
Step-by-step explanation:
Bungee Gum contains both properties of rubber and gum<3
Answer:
5
Step-by-step explanation:
5
PLZZ HELPP
Find the volume.
Answer:
330yd^3
Step-by-step explanation:
multiply all of them
Answer:
330 yd^3
Step-by-step explanation:
V=w*h*l
V=5*6*11
V=330 yd^3
Find the total surface area of this cylinder,
Give your answer to 1 decimal place.
24 cm
18 cm
Answer:
2262cm
Step-by-step explanation:
base SA = 904.8cm
lateral SA = 1357.2cm
Total SA = 2262cm
5. Solve the triangle. A = 54°, b = 11, c = 8
O a = 11.5, C = 45.8°, B = 80.2°
O a = 9.0, C = 40.6°, B = 86.4°
O No triangles possible
O a = 9.0, C = 45.8°, B = 80.2°
Answer:
no triangles possible
Step-by-step explanation:
I hope this helps
answer? for this geometry question
Answer:
A
Step-by-step explanation:
SSS-side, side, side
you only know that there are two corresponding congruent sides but you need to know if that third side is congruent to it's corresponding side.
Hope this helps have a nice day you amazing bean child
Consider the figure shown below. How long is DE?
Answer:
c). [tex]2\sqrt{2}[/tex]
Step-by-step explanation:
It's a right triangle with equal sides (DE == EF).
We know that
[tex]4^2 = DE^2 + EF^2 = 2\cdot DE^2\\16 = 2\cdot DE^2\\8 = DE^2\\4\cdot2 = DE^2\\2\sqrt{2} = DE\textrm{; because }-2\sqrt{2} = DE\textrm{ doesn't make sense in geometry}[/tex]
please help i really need it and please don't answer just to guess please i really need the help this is the only one
Answer:
18x
Step-by-step explanation:
-It is the same as 3x^-2 • 6x^3.
-Multiply the constants (in this case 3 and 6 =18)
-Add the exponents (-2+3=1)
-Your answer is 18x
Triangle ABC is reflected across the y-axis and then translated down 1.5 units to form triangle A'B'C'. Determined if each statement below is true or false. Select True or False next to each statement
Answer:
They are all true.
Step-by-step explanation:
Rigid transformations, like reflections and translations, preserve angle measures and lengths.
Can someone please answer this (please don’t send a tinyurl link)
In ARST, the measure of ZT=90°, the measure of ZR=54°, and TR = 27 feet. Find the
length of RS to the nearest tenth of a foot.
S
X
54°
T
R
27
Answer:
Submit Answer
attempt 1 out of 2
Answer:
RS = 45.9 feet
Step-by-step explanation:
Let the length of RS be represented by x. In the given triangle applying the required trigonometric function, we have;
Cos θ = [tex]\frac{Adjacent}{Hypotenuse}[/tex]
Cos 54 = [tex]\frac{27}{x}[/tex]
⇒ x = [tex]\frac{27}{Cos 54}[/tex]
= [tex]\frac{27}{0.5878}[/tex]
x = 45.9340
x = 45.9 feet.
The length of RS in the given triangle is 45.9 feet.
Find measure of angle 1.
Answer:
angle 1=90-(180-90+33)
90-57
angle 1=33
8. A
a) Unique
is a field in a table which uniquely identifies each row/record in a table.
b) Primary Key
9 Which symbol is used to display all the records in the table?
a) +
b) %
c) Default
Answer:
9.C DEFAULT
Step-by-step explanation:
Unta makatabang ko sa inyuha kay mark this to brainliest
Starting at noon, Brody observed the amount of snow on his lawn during a blizzard. He wrote an equation to represent ss, how many inches of snow were on the lawn: s=0.015x+2.5s=0.015x+2.5, where xx represents the number of minutes past noon. What could the number 0.015 represent in the equation?
There are MULTIPLE answers to this question.
- How much more snow is added to the lawn every minute
- The change in the amount of snow on the lawn for every one additional minute
- The rate of change in the amount of snow per minute
Hope this helps!
0.015 represents how much snow is added to the lawn every minute
What is an equation?An equation is a mathematical statement which equate two algebraic expressions.
Here the equation given is s=0.015x+2.5 where s represents how many inches of snow were on the lawn and x represents the number of minutes past noon and 2.5 is constant.How to find what the number 0.015 represents in the equation?In the equation, s represents how many inches of snow were on the lawn. So 0.015x and 2.5 should also represent how many inches of snow were on the lawn.Now x represents the number of minutes past noon.So to make 0.015x represent how many inches of snow were on the lawn, 0.015 should represent the amount of snow is added to the lawn per minute.
So, 0.015 represents how much snow is added to the lawn every minute
Find out more about 'Linear Equations' here: https://brainly.com/question/2226590
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Find the missing length. Round to the nearest tenth
Answer:
x ≈ 30.9 (Choice D)
Step-by-step explanation:
We can use cosine for solving this question:
cos (61°) = 15 / x
x = 15 / cos (61°)
x = 30.93998011
x ≈ 30.9 (Choice D)
Suppose the aluminium can shown measures 5 inches high with a radius of 2 inches. Which measurement BEST describes the
amount it can hold? (rounded to the nearest whole number)
Answer:
63^3
Step-by-step explanation:
What have I done wrong?
Answer:
Step-by-step explanation:
r = 11 cm
Instead of adding 11, 12 is added
It should be,
25.91813939 + 11 + 11
25 pirates were surveyed about their favorite color. 16 pirates picked red. Based on these results predict how many pirates out of 200 would pick red as their favorite color?
Anyone help me on this plzzzz :((
Answer:
Answer should be 47
Step-by-step explanation:
Answer:
47
Step-by-step explanation:
180-133(because of straight angle )
please help me i will give u brainlest
Step-by-step explanation:
hope this helps I tried but here you go
Will give brainliest, 15 points!
Elyssa is participating in a walk-a-thon. To represent the amount of money she will raise, she writes the equation, Y = 5X + 10. How much money will she raise if she walks 5 kilometers?
Answer:
$35
Step-by-step explanation:
This is actually pretty simple!
All you have to do is plug 5 in place of x and solve.
Y=5(5)+10
Y=25+10
Y=35
She raises $35 if she walks 5 kilometers.
Classify the expression, name the operation(s) and identify any variables. 3s – 5
1.algebraic, multiplication and subtraction, s
2.algebraic, subtraction, s
3.numerical, multiplication and subtraction, s
4.numerical, subtraction, s
Answer:
4
Step-by-step explanation:
Answer:4
Step-by-step explanation:
heeelppp pleaseee ):
Answer:
16. A and C; 17. All triangles
Step-by-step explanation:
Reflection over x is just "flipping upside-down as if turning the page over holding the ends of x axis", so it's A and C
Congruent means "have same sides and angles" and all the triangles are the same that way.
Classify Two-Dimensional Figures
Answer:
The bottom left ( square )
Step-by-step explanation:
top left : parallelogram
top right : irregular shape, i'm not sure on it's name
bottom left : square, which in special cases can be a rectangle.
bottom right : Trapezium which comes under the category of a parallelogram
The third figure in the given diagram is a rectangle.
What is a rectangle?A rectangle is a quadrilateral having the four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree.
From the given figure we can see that the third figure is having four sides in which two opposite sides are parallel and equal all the four sides are perpendicular to each other making an angle of 90 degrees.
Therefore the third figure in the given diagram is a rectangle.
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A triangle has sides of length 3.5 inches and 6 inches. Which of the following CANNOT be the length of the third side, in inches?
A.2
B.3
C.4
D.5
E.6
Answer:
a.2
Step-by-step explanation:
A right triangle has a base of 14.3 cm, a slant height of 21.75 cm, and a height of 15 cm. What is the area of the triangle?
Answer:
107.25cm²
Step-by-step explanation:
Area of triangle = 0.5 * base * height
Base = 14.3 cm
Height = 15 cm
Hence, Area of triangle :
Area = 0.5 * 14.3 * 15
Area = 107.25cm²