Answer:
(-2)(100) or 10^2 is 100
Step-by-step explanation:
(x -2)(x+100) =x
Additional roots of polynomial function P(x) with rational coefficients are (2i) and (- √10).
What is conjugate of complex number?
" If z = a +bi be the given complex number, then its conjugate is represented by [tex]\bar{z}[/tex] = a -bi , where real parts remain same only imaginary part get changed with opposite sign."
Theorem used
Conjugate Root theorem
Complex conjugate root theorem states that if P(x) is a polynomial in one variable with real coefficient , for P(x) if one root is a + bi with real numbers a and b then its conjugate that is a - bi is also another additional root of P(x).
According to the question,
Two given roots of polynomial function with rational coefficients are -2i and √10.
As per Conjugate root theorem,
Here one root is 0 - 2i then other root is its conjugate 0 + 2i
Also one root is 0 + √10 then another root is 0 - √10.
Therefore, two additional roots are 2i and -√10.
Hence, additional roots of polynomial function P(x) with rational coefficients are (2i) and (- √10).
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7th grade please solve the problem above. Write a paragraph explaining how you found the solution you must include each step for solving please!!!
Answer:
x=0
Step-by-step explanation:
You must isolate the variable to solve for it, so subtracting 14 from the left is the first thing to do. This can be supported by using PEMDAS, whereas we are doing the inverse here to solve for something in the equation. This gives us 2x=0. Next, we have to divide by 2, which gives us x=0.
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME ASAP
Answer:
156 dollars
Step-by-step explanation:
Heng tried to define a reflection across line r.
Any point M not on the line of reflection maps to a point M' such that the midpoint L of M→M' is on line r.
Which counterexample shows that Heng's definition does not fully define a reflection?
The counterexample shows that Heng's definition does not fully define a reflection is Heny fully defined a reflection. Option D
How to determine the counterexampleConsider the counterexample in which point M is above line r and the line itself is a vertical line.
Assume M is located at (0, 2) and that line r is the x = 1 line. Heng's definition states that point M', which has a midpoint L that is on line r, should reflect point M across line r.
However, point M' at (-1, 2) would be the reflection of point M across line r, which does not meet the requirement that the midpoint L lies on line r. Therefore, in this counterexample, Heng's definition does not adequately characterize a reflection.
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Find the area of the circle to the nearest hundredths ( Use 3.14 for pi) (4cm)
Answer: 50.24 cm²
Step-by-step explanation:
ASSUMING THE RADIUS OF THE CIRCLE IS THE 4 CM
The formula for the area of a circle is pi(3.14) * r(4)^2
[tex]3.14*4^2[/tex]
[tex]3.14*16[/tex]
[tex]50.24[/tex]
Hope it helps <3 :D
Simplify the expression (please)
Answer:
9(v-8)
[line]
v+6
Step-by-step explanation:
The perimeter of a square is given as 8x+20. Write two different expressions for the perimeter. Use factoring to write one of the expressoins. Are the expressions equivalen? Explain
Answer:
P = 4(2x + 5)
P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)
Step-by-step explanation:
Given that:
Perimeter of square = 4 * s
Where s = side length
If perimeter, P = 8x + 20
Then,
4s = 8x + 20
Divide both sides by 4
4s / 4 = (8x + 20) / 4
s = 2x + 5
P = 4s
P = 4(2x + 5)
Or
P = 2x + 5 in 4 places
P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)
what the value of 4 in 0.487
Answer:
It is its tenth value
Step-by-step explanation:
The 4 in .487 is the tenths value
On a windless day In Janurafy, Carl ties 300 helium filled balloons to his lawn chair 80ft from his 20ft tall house, and begins a vergical ascent into the sky. Hos high is carl when the angle lf depression from carl to the top of his house is 42°
Answer:
The answer is below
Step-by-step explanation:
θ = 90° - 42° = 48°
The angle formed is a right angled triangle, therefore trigonometric identities can be used to find the length of the triangle sides.
tan(θ) = opposite / adjacent
tan(48) = 80 / h
h = 80 / tan(48)
h = 72.03 ft
h is the vertical distance from carl to the top of his house, to get his total height to the ground (H), we use:
H = h + height of house
H = 72.03 + 20
H = 92.03 ft
Therefore Carl is 92.03 ft high
Find the marked prices of the following , given the percentage discount and the sale prices: part a: 12% discount , and the sale price $77
part b : 25% discount , and the sale price $123
Answer:
A) $87.5
B) $164
Step-by-step explanation:
A) Marked Price (Original Price)
= [tex]\frac{Sale Price}{1 -Discount}[/tex]
=[tex]\frac{77}{1-0.12}[/tex]
=87.5
B) Marked Price (Original Price)
=[tex]\frac{Sale Price}{1 -Discount}[/tex]
=[tex]\frac{123}{1-0.25}[/tex]
=164
A car was traveling at a rate of 2 2/3 yards in 3/4 of a minute. How far is is going each minute?
What is the probability of NOT choosing a 4?
9/16
7 of the squares are 4 so we just substract that from the total of 16 and we get 9
2.5( 2 + 2) x (2^2 + 2^2) =
Answer:
80
Step-by-step explanation:
2.5(2+2) x (2^2+2^2)
2.5(4) x (4+4)
10 x 8
80
your answer is 80 :)
Answer:
80
Hope this helps :3
Find the value of x.
Ethan and Bob are having a skateboard race. Ethan began at the starting line
and rode at a constant rate of two feet per second. Bob had a fourteen-foot
head start and rode three feet every five seconds.
What's is the linear equation
Answer:
aa
Step-by-step explanation:
aa
EXPLAIN when |−x| = x would be true.
HINT: If you are stuck, try substituting each of x = -1, x = 0, and x = 1 into the equation. Then, interpret your results.
Answer:
It's true when x = a positive number.
Step-by-step explanation:
I don't know how to explain this, so here we go.
The definition of absolute value is the distance a number is away from 0.
In other words, all numbers are now positive or 0.
If |-x| = x, it means x would have to be positive because, well, to prove that, we have to see what it couldn't be a negative number
if x was a negative number (-1), this is what we would get
|-(-1)| = -1
|1| = -1
1 = -1
That's not right!
And this happens in any negative number you do.
Because the absolute value of something cannot be negative
I cannot stress that enough
Since it is the absolute value of -x, x has to be positive, if it isn't, then there is no solution for x.
Any number greater than or equal to zero is a possible answer for the absolute value of something, but the absolute value of something cannot be a negative number
I hope this helps, let me know if you have any questions.
Find the area of the
triangle.
Answer:
472.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Base (b) = 30 yd
height (h) = 31.5 yd
Area of the triangle
= 1/2 * b * h
= 1/2 * 30* 31.5
=472.5 yd²
Can somebody give the answer pls
Answer: OOO I KNOW THE FOURTH ONE
Step-by-step explanation: y^2 + z^2 = x^2
Answer:
D
Step-by-step explanation:
According to the Pythagorean's theorem, in a right triangle, the sum of the adjacent side squared and opposite side squared is equal to the hypotenuse squared in other words
[tex]y^{2} + z^{2} = x^{2}[/tex]
14.Find the value of <A in the following figure.
Given:
The figure of triangle ABC.
To find:
The measure of angle A.
Solution:
From the given figure, we get
[tex]\angle ABC+120^\circ=180^\circ[/tex] (Linear pair)
[tex]\angle ABC=180^\circ-120^\circ[/tex]
[tex]\angle ABC=60^\circ[/tex]
According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of two opposite interior angles.
[tex]\angle A+\angle ABC=105^\circ[/tex] (Exterior angle theorem)
[tex]\angle A+60^\circ=105^\circ[/tex]
[tex]\angle A=105^\circ-60^\circ[/tex]
[tex]\angle A=45^\circ[/tex]
Therefore, the measure of angle A is 45 degrees.
HElppppppppppp
I don’t get it
Answer:
You have to use a cacolator. 5 boxes and its 9 pounds of beans in each. 5x9 is 45 pounds. Rice should be the 80 pounds hope that helps
Step-by-step explanation:
Helpppppppppppppppppp is this right
Answer:
The first one is B and the second one is correct
Step-by-step explanation:
Answer:
I think 1 is actually B and 2 is right -Your friend, Bill Cipher
Step-by-step explanation:
Point D is the centroid of Triangle ABC. Find CD and CE.
DE = 9
Given:
Point D is the centroid of Triangle ABC and DE = 9.
To find:
The measures of CD and CE.
Solution:
We know that, centroid is the intersection of medians and it divides each median in 2:1.
In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,
Let the measures of CD and DE are 2x and x respectively.
DE = 9 (Given)
[tex]x=9[/tex]
Now,
[tex]CD=2x[/tex]
[tex]CD=2(9)[/tex]
[tex]CD=18[/tex]
And,
[tex]CE=CD+DE[/tex]
[tex]CE=18+9[/tex]
[tex]CE=27[/tex]
Therefore, the measure of CD is 18 units and the measure of CE is 27 units.
The measure of CD and CE are 18 and 27 respectively
From the given diagram, the following are true:
CD = 2DEGiven that DE = 9
CD = 2(9)
CD = 18
Similarly;
CE = CD + DE
CE = 18 + 9
CE = 27
Hence the measure of CD and CE are 18 and 27 respectively
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please with full explanation please it's urgent
Answer:
u have some very good handwriting
Using The graph below identify the axis of symmetry for the parabola below 
Answer:
x=-3
Step-by-step explanation:
The axis of symmetry is the line that separates a parabola directly in half. It is measure on x axis because it is being split in terms of that number. Next, you identify the origin and find exactly where the parabola is in half and that is your answer. Another way to do this would be to identify the vertex of the parabola. The answer is the x coordinate of the location of the vertex. (The highest point of a parabola.)
1 Find the x-intercept as a point (x,y).
I'm not quite sure what to do can someome please help me quick. I'll make brainliest
Answer:
x,0
Step-by-step explanation:
x-intercept just means where the line crosses the x axis. the x-intercept is x,0
Answer:
X intercept is ( -1 , 2)
Step-by-step explanation:
if h (x) = |5x - 17|, find h(3)
Answer:
2
Step-by-step explanation:
5x - 17
5(3) - 17 = 15 - 17 = -2
let me know if its right or wrong
Find an expression which represents the difference when (6x-3y) is subtracted from (9x+2y) in simplest terms.
Answer:
[tex]3x+5y[/tex]
Step-by-step explanation:
Subtract (6x-3y) from (9x+2y):
[tex](9x+2y)-(6x-3y)[/tex]
This can also be seen as:
[tex](9x+2y)-1(6x-3y)[/tex]
Distribute the -1 to (6x-3y):
[tex](9x+2y)-1(6x)-1(-3y)\\\\(9x+2y)-6x+3y[/tex]
Simplify the parentheses:
[tex]9x+2y-6x+3y[/tex]
Group like terms:
[tex](9x-6x)+(2y+3y)[/tex]
Combine:
[tex]3x+5y[/tex]
This expression can't be further simplified. Therefore, 3x+5y is the answer.
:Done
How to tell the difference between multiplication and division word problems?
Answer:
Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction and division. The result of a multiplication operation is called a product. And division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication
Is this a function?
Help me plz and i will give you the brainlest
Answer:
It is a function because the input values are different.
What is X for brainliest
Answer:
the value of x is 2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
Given 3 parallel lines intersected by 2 transversals then the parallel lines divide the transversals proportionally, that is
[tex]\frac{3x}{4}[/tex] = [tex]\frac{7.5}{2.5x}[/tex] ( cross- multiply )
7.5x² = 30 ( divide both sides by 7.5 )
x² = 4 ( take the square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
How many solutions does 5x + 4y=6 have
Answer:
Error....
.
.
.
.
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At least 2 equation needed for the solution of two variables