Answer:
[tex]y - 9 = \frac{1}{2}(x +3)[/tex]
Step-by-step explanation:
Given
Function; [tex]y = -2x + 8[/tex]
Required
Find an equation perpendicular to the given function if it passes through (-3,9)
First, we need to determine the slope of: [tex]y = -2x + 8[/tex]
The slope intercept of an equation is in form;
[tex]y = mx + b[/tex]
Where m represent the slope
Comparing [tex]y = m_1x + b[/tex] to [tex]y = -2x + 8[/tex];
We'll have that
[tex]m_1 = -2[/tex]
Going from there; we need to calculate the slope of the parallel line
The condition for parallel line is;
[tex]m_1 * m_2 = -1[/tex]
Substitute [tex]m_1 = -2[/tex]
[tex](-2) * m_2 = -1[/tex]
Divide both sides by -2
[tex]m_2 =\frac{ -1}{-2}[/tex]
[tex]m_2 =\frac{1}{2}[/tex]
The point slope form of a line is;
[tex]y - y_1 = m_2(x - x_1)[/tex]
Where [tex](x_1,y_1) = (-3,9)[/tex] and [tex]m_2 =\frac{1}{2}[/tex]
[tex]y - y_1 = m_2(x - x_1)[/tex]becomes
[tex]y - 9 = \frac{1}{2}(x - (-3))[/tex]
Open the inner bracket
[tex]y - 9 = \frac{1}{2}(x +3)[/tex]
Hence, the point slope form of the perpendicular line is:
[tex]y - 9 = \frac{1}{2}(x +3)[/tex]
Which sequence of transformations proves that shape I is similar to shape II?
Answer:
I believe the answer is B. translation 6 units right, and then a 90 degree clockwise rotation about the origin.
Step-by-step explanation:
Because if you try a by reflecting it across the x axis and then tranforming it 6 units to the right you get a differenct graph. The same thing happens if you try c by rotating 180 degress counter clockwise about the origin!
I hope this helps, if it does please mark brainliest!!! Thank you. Have a great day :)
Please help me with geometry questions :((
Answer:
[tex]14.\:\:\overline{RT}=3.3\:ft[/tex]
Step-by-step explanation:
Using the definition of similar triangle, we have the equation for problem no. 14 as:
[tex]\frac{\overline{QT}}{\overline{RT}}=\frac{\overline{RT}}{\overline{TS}}\\\\\frac{5}{x}=\frac{x}{2.2}\\\\\Rightarrow x=3.3[/tex]
Best Regards!
Which equation represents the vertical asymptote of the graph? a curve asymptotic to y equals 0 from negative x to negative y near x equals 12. A curve asymptotic to y equals 0 from positive x to positive y near x equals 12. x = 0 y = 0 x = 12 y = 12
Answer:
The correct option is x = 12
Step-by-step explanation:
An asymptote of a function is a line to to which the function converges to as it tends to infinity such that the function gets infinitesimally close to its asymptote but the function will not reach or cross its asymptote. That is the separating distance between the function and the asymptote tends to zero as either the x or y coordinates, or both the x and y coordinates tend to infinity.
A vertical aymptote, is one parallel to the y-axis and it is given by the value of the x-coordinate where it occurs
In the graph of the question, the vertical asymptote occurs at x = 12 and it is the line x = 12.
From the given graph, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.
The given curve represents a function which is defined for all value fo x except 12.
The following information can be extracted from the graph of the function;
The function is defined for all values of x except 12.The function has a horizontal asymptote at y=0.The function forms a vertical asymptote at x=12. The curve approaches negative infinity from the left of 12 and approaches positive infinity from right of 12.Based on the above conclusions, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.
For more details, refer to the link:
https://brainly.com/question/23535769
PLEASE HELP! 10 POINTS Which relation is not a function?
Answer:
The first relation is not a function.
Step-by-step explanation:
If you see two points in which one is vertically above the other, then it is not a function. In other words, if in a relation, two points have the same x-coordinate and different y-coordinates, that relation is not a function. The only example in which this happens is the first graph.
The first relation is not a function.
HELPPP HURRYYYYYY Each group of students receives a bag that has 8 red cubes, 2 green cubes, and 10 blue cubes. If each group makes 100 pulls and replaces the cube after each pull, how many times would you expect them to draw a green cube?
Answer:
10
Step-by-step explanation:
There are 20 cubes total.
2 of the twenty are green.
2/20=10%
10% of 100 is 10
Answer:
Step-by-step explanation:
So, In all there are 20 cubes, And If they are making 100 pulls then it could be put into a percent. So 10 would be 50%, 2 would be 5%, and 8 would be 45%, so it would be pulled 5 times. Hope This Helps Dreamer!
Given the equation of the circle below, find the center coordinate of the circle,
and the radius of the circle.
x² + y2 + 4y = 32
Center : (0, 2)
Center : (0, 2)
Center : (0, -2)
Center : (0, -2)
R = 26
R = 6
R = 36
R = 6
Answer:
Center : (0,-2), R=6
Step-by-step explanation:
x² + y² + 4 y = 32
x² + y² +4 y+4=36
x² + (y+2)²=36
Center : (0,-2), R=6
HALP PLS 1000 students are arranged in several rows (more than 16). The numbers of students in each row are consecutive positive integers. How many students are there in the first row? (A) 20 (B) 25 (C) 28 (D) 44 (E) 80
Answer:
The correct option is;
(C) 28
Step-by-step explanation:
The information given are that;
The total number of students = 1000
The number of students in each row are consecutive positive numbers
Let the number of students in the first row be x,
Let the number of rows be 17
We have;
The number of students in the last row = x + 16
The number of students in the penultimate row = x + 15, we continue to get;
n×x + n/2×(n-1) = 1000
(The term n/2×(n-1) is from the sum of an arithmetic progression formula)
Which gives;
17×x + 17/2×16 = 1000
17×x = 1000 - 17/2×16 = 1000 - 136 = 864
x = 864/17 = Which is not an integer,
We continue checking till we get to 25 rows which gives;
25×x + 25/2×24 = 1000
25×x + 300 = 1000
25×x = 1000 - 300 = 700
x = 700/25 = 28
The number of student in the first row = 28 students.
Please help with step by step. Thank you.
Answer:
A) 90 degrees
B) 110 degrees
C) 78.5 in. sq.
D) 15.3 in. sq.
Step-by-step explanation:
A) 90 degrees by the two-tangent theorem
B) 360-90-90-70=110
C) A=pi r-squared
A=3.14x5x5
A=78.5
D) 70/360=0.1944
78.5x0.1944=15.3
how to convert m into mm
Answer:
Multiply value in mm by 1000
Step-by-step explanation:
For example, 3m = (3 * 1000)mm
= 3000mm
Answer:
multiply by 1000
Step-by-step explanation:
1m = 1000mm
If i need convert meter en mikimeters
i multiply meter by 1000, example:
7 meters:
7 * 1000 = 7000 milimeters
another example:
4.75m = 4.75*1000 = 4750 milimeters
Write an ordered pair for the point
Answer:
(0, 1)
Step-by-step explanation:
The point lies on the line x = 0.
The point lies on the line y = 1.
Where both lines intersect, that is the coordinate.
(x, y)
(0, 1)
Identify the types of number
Answer:
1 surds
2 fraction
3 decimal
4 negative
5 positive
8 elementary classes will be chosen to participate in a school lunch survey. There are 23 elementary classes in the school. In how many ways can the classes be chosen?
Answer:
490,314
Step-by-step explanation:
This is a combinations problem. The formula is n!/(n-r)!xr!
This is 23!/(23-8)!x8!=
23!/15!x8!=
19,769,460,480/40,320=
490,314
Using the combination formula, it is found that the classes can be chosen in 490,314 ways.
The order in which the classes are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 8 classes are chosen from a set of 23, hence:
[tex]C_{23,8} = \frac{23!}{8!(15)!} = 490314[/tex]
The classes can be chosen in 490,314 ways.
More can be learned about the combination formula at https://brainly.com/question/25821700
Find the exact value of the following. The distance traveled by a car going 65 miles per hour for 3.5 hours is ____ miles.
Answer:
227.5
Step-by-step explanation:
D=ST so X= 65 x 3.5 = 227.5 miles
D=Distance = x
S=Speed = 65
T=Time = 3.5
Which graphs is represent functions?
Answer:
graph b and d
Step-by-step explanation:
because they pass the vertical line test.
I don’t want the answer to this just how to work it out. The required staff to student ratio is 2:15. If 340 people attended the excursion, how many teachers were there?? Thanks
Answer:
40 teachers.
Step-by-step explanation:
The required staff to student ratio is 2:15340 people attended the excursion.We are to find the number of teachers (staff) who attended the excursion).
For every 2 staff, there are 15 students
The number of teachers who attended the excursion is [tex]\frac{2}{17}[/tex] × 340 = 40 teachers
The number of students who attended the excursion is [tex]\frac{15}{17}[/tex] × 340 = 300
The graph below shows four straight lines, A, B, C, and D: graph of line A going through ordered pairs negative 2, negative 3 and 2, 5. Graph of line B going through ordered pairs negati Which line is represented by the function f(x) = 2x + 1? (1 point) Line A Line B Line C Line D
The only line that has a y-intercept of 1 is Line A, therefore, the line that represents the given function is: Line A.
Linear Equation of a FunctionA linear equation that represents a line that has m as slope and b as y-intercept is given as y = mx + b.
Therefore, the line that represents the linear equation of the function, y = 2x + 1 , will have a slope of 2 and a y-intercept of 1.
Thus, the only line that has a y-intercept of 1 is Line A, therefore, the line that represents the given function is: Line A.
Learn more about linear equation function on:
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Answer:
this will be the first graph
A
Step-by-step explanation:
Which expression is equivalent to
?
4 square root 6/ 3 square root 2
Answer:
Hope the picture helps
help plz i want help
Answer:
1/3
Step-by-step explanation:
There are 9 possible outcomes
We want the ones that have the same color which are GG , YY or BB
P ( same color) = number of same color outcomes / total outcomes
= 3/9
=1/3
Answer:
1/3
Step-by-step explanation:
3/9, simplify to 1/3
15 POINTS!!!!!!!
How is a linear function affected by a horizontal shift?
Answer:
horizontal shift can affect the linear function, because it is impossible to distinguish which transformation was applied by looking at the resulting graph.
Step-by-step explanation:
a horizontal shift is a movement left to right along the x-axis, and in equation of a function it's change in the value of x before it's multiplied by the slope.
Answer:
I agree with Lambina and added this answer so she could get brainliest
Step-by-step explanation:
Brainliest for whoever answers fully! Part A: Using the graph above, create a system of inequalities that only contains points C and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points) Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A. (3 points) Part C: Chickens can only be raised in the area defined by y > −4x + 3. Explain how you can identify farms in which chickens can be raised. (2 points)
Answer:
Hope this helps
Step-by-step explanation:
For part A, we want two inequalities that have F and D as solutions, but none of the other points. The easiest way to do this is construct two lines that pass through the origin, and then figure out which way the inequalities need to face based on the points we want to include. Our lines will be:
The first line intersects F and the second line intersects D, so we need to figure out which way to point the inequalities so both include the point they do not intersect:
So our system is:
Part B: To verify, plug in the x and y values for D and F and verify that it creates true statements in the system.
Part C: You can plug in the different x, y values for the points. The points which create true statements identify farms where chickens can be raised, while those which create false statements cannot raise chickens.
Pls Help!! Jazzmin has 2/5 of a pie. How many 1/10's of a whole pie are there in 2/5 of a whole pie?
Answer options: a.) 1/25 b.) 1/4 c.) 25 d.) 4
PLS write the correct answer
Answer:
d
Step-by-step explanation:
2/5÷ 1/10 = [tex]\frac{2}{5}*\frac{10}{1}[/tex]
= 2 * 2
= 4
Answer:
b
Step-by-step explanation:
LCD of (5, 10): 10
2/5=4/10(multiply top and bottom by 2)
(4/10)/(1/10)= 4
Therefore, 1/10 is 1/4th of 2/5
Emily has driven 600 miles so far on her way to the beach. If her total trip will be 850 miles‚ about what percentage of the drive does she have left to complete? a) 15% b) 29% c) 40% d) 73%
Answer:
B) 29%
Step-by-step explanation:
First, we subtract 600 from 850 to get the distance she has left. 850 - 600 = 250. Next, we take 250 and divide it by 850 to get the decimal which is 0.294117647. We can round this answer to 0.29 and convert this answer to a percentage which is 29%.
Answer:
B. 29%
Step-by-step explanation:
Percentages can be found by dividing the part by the whole, then multiplying by 100.
(part/whole) * 100
We have to find the percentage of the drive she has left.
Therefore, the part is the miles she has left and the whole is the total trip.
(miles left/total trip) * 100
First, we need to find how many miles she has left. We must subtract the miles she has driven from the total trip.
total - miles driven
She has 850 total miles and has driven 600 miles.
850-600
250
She has 250 miles left.
Now we know the miles she has left.
(miles left/total trip) * 100
miles left = 250
total trip= 850
(250/850) * 100
Solve inside the parentheses first. Divide 250 by 800.
(0.29411765)*100
Multiply
29.411765
Round to the nearest whole number. The 4 in the tenth place tells us to leave the whole number as is.
29
Therefore, she has about 29% of her trip left.
helppppp idk how to do that?
Which represents the polynomial written in standard form?
Answer:
Step-by-step explanation:
b
Answer:
I think it's 4x4 - 7xy3- 3x3v/2 +8x2y2
Step-by-step explanation:
Which of the following represents *picture attached*
Answer:
The answer is option C
Step-by-step explanation:
104
E 6
x = 1
Write the number as a product with the factor 1
104
E 6 × 1
n = 1
Rewrite the sum
That's
104
6 × E 1
n = 1
Find the sum of n terms of 1 using the formula
n
E 1
k= 1
Which is
6(104) = 624
Hope this helps you
Answer:
6(104) = 624
Step-by-step explanation:
The summation symbol ...
[tex]\sum\limits_{n=1}^{104}{\text{expression}}[/tex]
means that the expression is evaluated for n=1, n=2, n=3, n=4, ... up to n=104 and all of those are added together. Here, the expression being evaluated is "6", which does not depend on n. So, this is simply the sum of 104 instances of 6:
6 +6 +6 +6 ...+6 . . . . 104 terms in the sum
As we know, repeated addition can be accomplished by multiplication:
= 6(104) = 624
PLEASE HELP ME WITH THIS ILL GIVE 100 points , brainliest and follow you ❤️
PLEASE HELP MEEEEE
Answer:
1) There are 26 letters in the alphabet. Thus, 27 people must be chosen because otherwise there could be 1 person per initial.
2) There are 7 days in a week. Thus, if the first 7 had their birthdays on every day of the week, the 8th person must share a birthday on the same day of the week as another.
3) A phone number can contain 0,1,2,3,4,5,6,7,8,9. Thus, if the first 10 people have a phone number that ends with each digit, the 11th must share it, as there are no unique options.
4) 100/2 = 50. Thus, the minimum each bag could have is 50.
5) 19/3 > 6. The maximum number you could get with numbers less than seven is 6,6,6 = 18. 18<19. Thus, you need a number 7 or greater.
6) The worst scenario that could happen here is that you grab 8 German books, 10 French books, and 12 Spanish, Russian and Italian books. This would be 54 books. Thus, with the 55th book, you must have gotten 12 of at least one subject. Thus, the answer is 55 books.
7) This is vague. If she cannot repeat any of the three jokes in the triplet, then she must have 36 jokes for this to be possible, because 12*3=36
8) Each of the remaining 29 students made less than 12 mistakes. Even if 2 students made 11,10,9,8,7,6,5,4,3,2,1 mistakes, there would still be multiple students left that would have made 11,10,9,8,7,6,5,4,3,2, or 1 mistake(s), meaning that at least 3 students made the same amount of mistakes.
9) 465/95 = about 4.9. Thus, each table could have less than 6 seats, so we cannot be sure.
Hope it helps <3
Step-by-step explanation:
4.
Bags contain x and y numbers of marbles.
x + y > 100
The least number that is more than 100 is 101.
If x and y are both less than 51, then you have at most a total of 100 marbles.
To have 101 marbles, you must have one bag with at least 51 marbles, and the other bag with the rest. Neither bag must have at least 50 marbles. You can have 1 and 100, but that is still more than 50 marbles in one bag.
6.
You are looking for 12 books in the same language. Let's say you start by picking all 10 French books and all 8 German books. You are up to 18 books. There are no more French or German books, so you can't get to 12 books in one language with those. Now you pick 11 Spanish books, 11 Russian books, and 11 Italian books. That is another 33 books, and still no 12 books in one language. You already picked 18 books + 33 books = 51 books. The very next book must be a Spanish book or a Russian book or an Italian book, and it will make the 12th book of that language. You need to pick 52 books to be sure you have 12 of the a single language.
Answer: 52 books
7.
You need enough jokes to have 12 different combinations of 3. This is a case in which order does not matter.
If you have 3 jokes, named A, B, and C, you only have enough for 1 year, since ABC, ACB, BAC, BCA, CAB, and CBA are all the same triple of jokes.
This is a combination problem.
nCk = (n!)/[k!(n - k)!]
We know we need more than 3 jokes. Let's try 4.
n = 4
nCk = (4!)/[3!(4 - 3)!]
nCk = 4
We need 12, so 4 is not enogh.
n = 5
nCk = (5!)/[3!(5 - 3)!]
= 5 * 4/2
= 10
Now enough.
Try n = 6
nCk = (6!)/[3!(6 - 3)!]
= 20
With 6 different jokes, you can make 20 different triplets, so there is no need to repeat any triplet in 12 years.
Answer: 6 jokes
Which of the following graphs represents the equation below? y= 0.666667x + 3
Answer:
the last graph
Step-by-step explanation:
the y intercept is clearly shown as three and then using rise over run you can see that the slope is 2/3 or 0.667
A five question multiple choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers, and 1’s representing correct answers to answer the following question: What is the experimental probability of correctly guessing at random exaclty three correct answers? PLS HELP ME
Answer:
9/20 (or) 45% (or) .45 (however your teacher wants it expressed)
Step-by-step explanation:
There are 20 experiments and 9 of them have three ones and two zeros.
9/20
Sam purchased 3 1/4 pounds of cheese. He used half of the purchased cheese for a casserole and 1/4 pound for sandwiches. Express as a mixed number the number of the number of pounds of cheese he has left.
Answer:
1 3/8 lbs.
Step-by-step explanation:
3 1/4 x 1/2 = 1 5/8
1 5/8-1/4=
1 5/8-2/8=
1 3/8
In triangle ABC angle bisector AE is equal to EC. Given AC=2·AB, find m∠ABC, in degrees.
Answer:
m∠ABC = 90°
Step-by-step explanation:
Given that AE = EC, triangle AEC is isosceles. Then the altitude from E to AC at D will be the perpendicular bisector of AC.
We know that AC = 2·AB, so AD = AC/2 = AB. Now, we can show triangles AED and AEB are congruent by SAS, so ...
m∠ABC = m∠ADC = 90°