Answer:
The answer is below
Step-by-step explanation:
Which equation in slope-intercept form represents a line that passes through the point (2,3) and is perpendicular to the line y−9=23(x+7)
Solution:
The equation of a line in slope intercept form is given as y = mx + b, where m is the slope and b is the y intercept.
Given a line y−9=23(x+7)
y - 9 = 23x + 161
y = 23x + 170. The slope of this line comparing with y = mx + b gives m = 23
Two lines are perpendicular if the product of their slope gives -1.
Let [tex]m_1[/tex] be the slope of the perpendicular line, hence:
[tex]m_1(23)=-1\\\\m_1=\frac{-1}{23}[/tex]
Since the perpendicular line passes through (2, 3), we can get its equation using:
[tex]y-y_1=m_1(x_x_1)\\\\y-3=\frac{-1}{23}(x-2)\\\\y= \frac{-1}{23}x+\frac{2}{23}+3\\\\ y= \frac{-1}{23}x+\frac{71}{23}[/tex]
The graphs of y= ‐4x and y= ‐4x+2 are shown. Use the drop-down menus to complete the statements.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
please help will mark brainliest
Answer:
two
Step-by-step explanation:
complete the table for values y= 2x+ 3
Answer:
There should be a table with the values of x to find Y or vice versa, it depends.
Step-by-step explanation:
it's an easy way to answer this question in the table given. You just have to substitute the given values into the formula and find the Yor X depending on the table what you are searching for?
for example, if you are given x as 2 then, to find Y will be:
Y =2(2) + 3
Y = 7
PLEASE HELP ME I NEED THIS ALOT!
1 . Write the equation that represents the data set for Crew A using the variables E for earnings and h for hours.
2. Write the equation that represents the data set for Crew B using the variables E for earnings and h for hours.
Please help i'm really stuck on these questions!! :(
1. Write the equation that represents the data set for Crew A using the variables E for earnings and h for hours.
120e/1h
2. Write the equation that represents the data set for Crew B using the variables E for earnings and h for hours.
105e/1h
Tickets numbered 4, 5, 6......48, 49 are placed in a box and mixed thoroughly. One ticket is drawn from the box. Find the probability that the number on the ticket is:
(i) an even number (ii) A number less than 16
(iii) a perfect square (iv) a prime number less than 30.
Answer:
i) The probability that the number on the ticket is even is [tex]\mathbf{\frac{1}{2}}[/tex]
ii) the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]
iii) The probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]
iv) the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]
Step-by-step explanation:
Tickets numbers are: 4, 5, 6......48, 49
So, total tickets in box = 46
We need to find probability that the number on the ticket is:
i) an even number.
Even number in tickets are: 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48
Total number of favourable outcomes = 23
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 23
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{23}{46}\\Probability=\frac{1}{2}[/tex]
So, the probability that the number on the ticket is an even number is [tex]\mathbf{\frac{1}{2}}[/tex]
ii) A number less than 16
Even number in tickets are: 4,5,6,7,8,9,10,11,12,13,14,15
Total number of favourable outcomes = 12
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 12
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{12}{46}\\Probability=\frac{6}{23}[/tex]
So, the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]
iii) a perfect square
Perfect squares are: 4,9,16,25,36
Total number of favourable outcomes = 5
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 5
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{5}{46}[/tex]
So, the probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]
iv) a prime number less than 30.
Prime numbers less than 30 are: 5,7,11,13,17,19,23,29
Total number of favourable outcomes = 8
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 8
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{8}{46}\\Probability=\frac{4}{23}[/tex]
So, the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]
Pls be right will give brainliest
Answer:
The answer is D.
Step-by-step explanation:
The line that passes through (2, 4) and (0, 8) can be expressed by which of the following
Answer:
The first one and the second one
Step-by-step explanation:
I hope that this helped
Jenny was doing laundry. She folded 10
towels and divided them evenly into p
piles. Which expression represents the
number of towels in each pile?
Help please!
Thank you!
Answer:
81
Step-by-step explanation:
y= x²
if x= 9 substitute x with 9 in the equation
y= 9² = 81
Help please look at picture attached I will mark brainliest!!
Answer:
ACB:64 ACD:116 GFH:64 EFG:26
Step-by-step explanation:You could see how the angles are located.
Answer:
A ) Adjacent and supplementary B) Adjacent n neither C) is the same as A D) Non adjacent n complementary
Step-by-step explanation:
The Small arrow is Non adjacent or adjacent and under the big one is complementary, supplementary or neither
HELPPPP!!!
Use the diagram to answer the question
What is the equation in slope intercept form of a line that passes through the point (-3,-11) and is parallel to the line y=2x-4?
Step-by-step explanation:
hey i hope this helps idk if its clear enough but yeah
Can some help me fast!
Answer:
5x +2y =38
5(6) +2y = 38
30 +2y= 38
2y= 8
y= 4
(6, 4)
5(0) +2y =38
2y= 38
y= 19
(0,19)
5(-2) +2y= 38
-10 +2y =38
2y= 48
y=24
(-2,24)
subtract: 3a ( a+ b+ c) - 2b (a- b+ c) from 4c (-a + b + c)
Answer:
4c^2 - 3a^2 -7ac +6bc -ab
Step-by-step explanation:
solve first 3a( a + b + c) - 2b ( a+ b +c)
which is = 3a^2 + 3ab + 3ac - 2ab - 2b^2 -2bc
there for 4c(-a + b +c) -( 3a^2 + 3ab + 3ac - 2ab - 2b^2 - 2bc)
= -4ac-3ac +4bc+2bc -3ab+2ab + 4c^2 -3a^2
=4c^2 - 3a^2 -7ac +6bc -ab
When solving this system of equations by elimination, which could be the resulting equation when a variable has been eliminated?
Plz hurry I will give 17 points
their notes to help them process the
The editing and formatting features of eNotes allow students to blank
information.
The answers are organize,translate,increase,misplace
Answer:
Organize
Step-by-step explanation:
Write the standard form of the line that has a slope - 3/4 intercept of -2Include your work in your final answer Type your answer in the box provided or use the upload option to submit your solution
Well heck,how come, to me this looks like collage level stuff please help me? My cousin isn’t awake enough and he usually helps me and I don’t wanna wake him up,just help me till he wakes up. Try to answer correctly please,if you don’t know then please scroll past ok? I need to get this right so my mom can think I’m “perfect”
Answer:
Step-by-step explanation:
i=prt
your p=30 dollars
rate is 10%
t=1 year
i=(30*0.01*1)=3
3 dollars
Solve: 7n + 5 = -44 HELPPPPPPPPPPP
Answer:
-7
Step-by-step explanation:
7n+5=-44
-5 - 5
7n=-49
7/7 -49/7
n = -7
simply 8/-4 dived by -3/9
Answer:
-6
Step-by-step explanation:
Find the slope of the line.
I WILL MARK BRAINYLIST JUST HELP MEEE
Answer:
-1/3
Step-by-step explanation:
join the zoom call and i can explain that way when another question comes no need to waste points: 73216153508 thats the code to join
Evaluate square root of 121
Answer:
the square root of 121 is 11
HELPPPPP
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x^3 -3x²+2
The roots of the polynomial function f(x) = x³ - 3x² + 2 are [tex]\frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}, \ and \ 1[/tex].
What are the roots of the polynomial function?Given the polynomial function in the question:
f(x) = x³ - 3x² + 2
To find the roots of the polynomial function f(x) = x³ - 3x² + 2, we need to solve for values of x that make the function equal to zero.
f(x) = x³ - 3x² + 2
x³ - 3x² + 2 = 0
Factor the equation using the rational root test:
( x - 1 )( x² - 2x - 2 ) = 0
Equate each factor zero and solve for x:
( x - 1 ) = 0
x - 1 = 0
x = 1
( x² - 2x - 2 ) = 0
x² - 2x - 2 = 0
Using the quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a} \\\\x = \frac{-(-2)\±\sqrt{(-2)^2 - 4(1*-2)} }{2*1} \\\\x = \frac{2\±\sqrt{4 + 8} }{2} \\\\x = \frac{2\±\sqrt{12} }{2}\\\\Hence:\\\\x = \frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}[/tex]
Therefore, the roots are [tex]x = \frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}, 1[/tex].
Options A, B and D are the correct answers.
Learn more about quadratic equations here: brainly.com/question/1863222
#SPJ1
if each value of the data of the poplation function is doubled which of the following is not correct?
A. the mean is doubled
B. the mode is doubled
C. the variance is doubled
D. the median is doubled
Answer:
The variance is doubled; C
Step-by-step explanation:
Here, we want to select what will be wrong if every number in the dataset is doubled
A. This is correct
The mean is the average of the numbers which is calculated by dividing the sum of the numbers by the count of the numbers
By doubling the numbers, we have simply doubled the sum while the count is same
So what we have as the result of the division will be 2 times what we had initially making the mean doubled
B. The mode is doubled
Yes, this is correct
The mode is the highest in frequency
Doubling all numbers will not double their frequencies but their values. So the number that was the mode in the previous case will be the same but now doubled
D. The median is doubled
This is correct
The median deals with the middle number.
Since all numbers are doubled in the present case, the median to is also doubled along side as the numbers are now twice what they were evenly
C. This is wrong
The variance has to do with the spread of data
We are actually subtracting values
Since we are doubling across board, the difference between the numbers is the same as this, the variance cannot change
We can look at this from the angle that all others are measures of central tendency looking at having a central figure while the variance is a measure of spread.
What are the solutions of x^2 - 2x + 10 = 0?
Answer:
C. x = 1 + 3i or x = 1 - 3i
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define
x² - 2x + 10 = 0
Step 2: Identify Variables
a = 1
b = -2
c = 10
Step 3: Find roots
Substitute [Quad Formula]: [tex]x=\frac{2\pm\sqrt{(-2)^2-4(1)(10)} }{2(1)}[/tex]Exponents: [tex]x=\frac{2\pm\sqrt{4-4(1)(10)} }{2(1)}[/tex]Multiply: [tex]x=\frac{2\pm\sqrt{4-40} }{2}[/tex]Subtract: [tex]x=\frac{2\pm\sqrt{-36} }{2}[/tex]Factor: [tex]x=\frac{2\pm\sqrt{-1} \sqrt{36} }{2}[/tex]Simplify: [tex]x=\frac{2\pm6i }{2}[/tex]Factor: [tex]x=\frac{2(1\pm3i) }{2}[/tex]Divide: [tex]x=1\pm3i[/tex]Mke y the subject of the formula.
w=x^2-2yz
Answer:
W = x^2 - 2yz / - w
0 = x^2 - 2yz - w / +2yz
2yz = x^2 - w // 2z
y = (x^2 -w ) / 2z
So correct answer is D
Can someone please help?!
7/12+1/3 show your work and how you got your answer and you do all that and don’t scam me I will give branlist
Answer: 11/12
Step-by-step explanation:
7/12 and 1/3 don’t have the same denominator, so you can’t just add them right away. You have to give them the same bottom number. 1/3 = 4/12, so you can do it like this:
7/12 + 4/12 = 11/12
11/12 is in simplest form, so that should be correct! Hope this helps! :)
Step-by-step explanation:
Hi so are we dating?????
HELP PLS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is B
Step-by-step explanation:
Which expression gives the correct volume of the steps?
Math item stem image
CLEAR CHECK
4×4×1 cubic feet
(4×4×1)+(3×3×3) cubic feet
(4×4×1)+(3×3×1)+(2×2×1)+(1×1×1) cubic feet
(4×4×4)+(3×3×3)+(2×2×2)+(1×1×1) cubic feet
Answer:
(4×4×4)(3×3×3)(1×1×1) Cubic feet