If the points (2, 4), (5, k), and (8, 20) are on the same line, what is the value of k?
Answer:
k = 12
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (8, 20)
m = [tex]\frac{20-4}{8-2}[/tex] = [tex]\frac{16}{6}[/tex] = [tex]\frac{8}{3}[/tex]
Repeat using (5, k) as one of the points and equate to [tex]\frac{8}{3}[/tex]
(x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (5, k) , then
m = [tex]\frac{k-4}{5-2}[/tex] = [tex]\frac{k-4}{3}[/tex] = [tex]\frac{8}{3}[/tex] ( cross- multiply )
3(k - 4) = 24 ( divide both sides by 3 )
k - 4 = 8 ( add 4 to both sides )
k = 12
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 2, and the given zeros. -4,0,2,4
Answer:
A least degree polynomial, having rational coefficients and a leading coefficient of 2, with,-4, 0, 2, and 4 as the zeros of the polynomial is;
f(x) = 2·x⁴ - 4·x³ - 32·x² + 64·x
Step-by-step explanation:
The given parameters of the polynomial are;
The leading coefficient of the polynomial = 2
The zeros of the polynomial = -4, 0, 2, 4
We note that zeros of -4, and 4 gives a factor of the form, (x² - 4²)
For a zero of the polynomial equal to 0, one of the factors of the polynomial is equal to 'x'
To have a leading coefficient of 2, we can add '2' as a factor of the polynomial
Therefore, we can have the factors of the polynomial as follows;
(x² - 4²)·2·x×(x - 2) = 0
From the above equation, using a graphing calculator, we get the following possible polynomial;
(x² - 4²)·2·x×(x - 2) = 2·x⁴ - 4·x³ - 32·x² + 64·x = 0
Therefore, a polynomial, function of least degree that has rational coefficients, a leading coefficient of 2,and the zeros, -4, 0, 2, and 4 is f(x) = 2·x⁴ - 4·x³ - 32·x² + 64·x.
A. For sequence A, describe a way to get each new term.
B. Write an explicit rule for sequence A. Include tn and n inside the rule correctly.
C.For sequence B describe a way to get each new term.
D. Write an explicit rule for sequence B. Include tn and n-1 inside the rule correctly.
E. Use the rule you created on B and D if these sequences continue, when which is greater, A(9) or B(9)? Explain or show how you know.
Answer:
HELP ME & ILL HELP YOUUUUU
can someone plz help
Answer:
16
Step-by-step explanation:
Answer:
Your Answer is 16 bro Okk and good morning and please mark me as brainliest
All factors for 3,235?
Answer:
1,5,647,3235
Step-by-step explanation:
there yah go
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Nora works at a retail store. She earns a commission of $5.50 on each item she sells. If she sells 17 items, how much does she earn from commissions?
If Nora sells 17 items, she earns $
from commissions.
Answer:
$93.50
Step-by-step explanation:
$5.50 x 17 = $93.50
Hope that helps!
Answer:
$93.50
Step-by-step explanation:
hELP I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Answer:
It’s the number hairline
Step-by-step explanation:
Hairline cut it straight
Answer:
16x16x16x16
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST FOR BEST ANSWER!!!
What is the radical form of each of the given expressions?
Drag the answer into the box to match each expression.
view pic
help pls answerrrrff on math
What is the solution to the system shown ?
Answer:
sorry hte pictures kind blurry :(
Step-by-step explanation:
Please help!! Giving brainliest and extra points!! (Click on photo)
Answer:
14
Step-by-step explanation:
¿Que fracciones representan los puntos A, B, C y Den la siguiente recta numérica
Answer:
can you translate this
Step-by-step explanation:
5. What is the measure of side B if side A=6 and side C=12? (Assume this is a right triangle)
Answer:
6^2+12^2=B^2, B=sqrt 180
Step-by-step explanation:
Answer:
B = 6√3 decimal number B = 10.39
Step-by-step explanation:
Look at the picture for explanation :
I just need an explanation for both of these! Help would be greatly appreciated, thanks. :))
Answer:
1. Well, to cross multiply them you multiply the numerator in the first fraction times the denominator in the second fraction, then you write that number down. ... The reason we cross multiply fractions is to compare them. Cross multiplying fractions tells us if two fractions are equal or which one is greater.
2. Cross multiplying fractions to find a missing numerator or denominator for equivalent fractions works because it is a shortcut for rearranging to isolate the variable.
Step-by-step explanation:
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What is the complex conjugate of the root x = 3i
Answer:
For example, the conjugate of 0 + √3 is 0 - √3, the conjugate of -√3 is √3, and the conjugate of 2 - 5√3 is 2 + 5√3.
Step-by-step explanation:
The complex conjugate of the root x = 3i will be x = -3i.
What is complex conjugate?The complex conjugate of a complex number is the number that has equal real and imaginary parts that are opposite in sign but equal in magnitude.
A given complex function is x = 3i
As we know that the complex conjugate function is one in which the imaginary part of the function becomes negative.
The complex conjugate function will be:-
x = -3i
Therefore the complex conjugate of the root x = 3i will be x = -3i.
To know more about complex conjugate functions follow
https://brainly.com/question/16819078
#SPJ2
8. Write a quarter million in scientific notation.
Answer:
250x10^3
Step-by-step explanation:
Peter was thinking of a number. Peter divides by 7, then adds 5 to get an answer of 13. What was the original number?
Answer:
56
Step-by-step explanation:
5-13=8
7*8=56
Answer:
the answer is 56(fifty six)....
What is the solution to the equation 2n - 3 = 7
Answer:
Step-by-step explanation:
2n-3=7
2n=4
n=4/2
4/2=2
N=2
Hope this helps!
1/3 ( 30y + 6 ) = 32
1/3 is a fraction. Solve for y
Answer:
y=3
Step-by-step explanation:
30y+6/3=23
6(5y+1)/3=32
2(5y+1)=32
5y+1=32/2
32/2=16
5y=16-1
16-1=15
y=15/5
y=3
Which angles are congruent to each other? Help ASAP
Answer:
Angles 2 and 4
Angles 3 and 1
Angles 5 and 7
Angles 6 and 8
Angles 10 and 12
Angles 11 and 9
Step-by-step explanation:
PLEASEEEEEE HELPPP ASAPPP REWARD BRAINLIESTT
Answer:
1: 9 & -8
2: -4 & -5
3: -10 & 6
4: -8 & 6
5: 3 & 8
Step-by-step explanation:
I need help please!!
Answer:
Would be TSR
Step-by-step explanation:
Lining up the congruent angles and sides shows the correct statement.
Answer:
yea what that kid said
Step-by-step explanation:
Solve each of the following system of equations by substitution!!!
x-5y=-49
y=-2x+1
Answer:
x = -4, y = 9
or
(-4, 9)
Step-by-step explanation:
x - 5y = -49
y = -2x + 1
substitute y for -2x + 1
x - 5(-2x + 1) = -49
x + 10x - 5 = - 49
add 5 to both sides
x + 10x - 5 + 5 = - 49 + 5
x + 10x = -44
11x = -44
divide both sides by 11
11x/11 = -44/11
x = -4
substitute x for -4 in any of the original equations
y = -2x + 1
y = -2 * -4 + 1
y = 8 + 1
y = 9
Answer:
x = -4, y = 9 or (-4,9)
Step-by-step explanation:
.....
(6,-5) (7,-3) (8,-1) (9,1) is this a function?
Answer:
Yes
Step-by-step explanation:
To find out if it's a function, check if any of the y values repeat. If they don't, it's a function. :)
( Please help me on this question! )
( I failed my last unit test, that's why I really need this answer. )
( Thank you, <3 )
...............................................................................................................................
Which sets of ordered pairs show equivalent ratios? Use the grid to help you. Check all that apply.
A.) (1, 2), (2, 3), (4, 7)
B.) (2, 2), (4, 4), (6, 6)
C.) (3, 1), (4, 1), (5, 1)
D.) (4, 1), (8, 2), (12, 3)
E.) (2, 1), (4, 3), (5, 4)
Answer:
i think its b
Step-by-step explanation:
PLEASE HELP!! ILL MARK BRAINLIEST!
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Answer:
D 12
Step-by-step explanation:
Answer:
D. 12 cm
Step-by-step explanation:
Because the sum of two sides of a triangle must always be greater than the 3rd side, 12 cannot be the third side because 5+7=12.
$150 per hour is how much per min
$2.50
Hope this helps!
May I have brainliest? :D
DONE BY 3:40 What is the greatest common factor of 60, 84 and 72?
OA) 4
B) 12
C) 24
OD 84
Answer:
B
Step-by-step explanation
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Deku x Uraraka (A lot of you gonna hate me for this but can't you see-)
Momo x Todoroki (My friend told me to put this)
Mina x Kirishma (Ship!!)
Denki and Jirou ( This was told to me but I still ship!!)
Bakugo x Camie (...............)
TELL ME MORE SHIPS COME ON.
Answer:
Deku x Todoroki
Step-by-step explanation:
um... dont hate on me but...
i ship BkDk (Bakugou x Deku) TwT
Aye do anyone think the can help me with a phone number verification because i cant do it myself i dont have my phone
Well, no, I can't. You shouldn't be giving your phone number to someone you don't know.
Answer:
ayeeeeeee I would help but I don't have a phone either