Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (-9,9) and parallel to the line whose equation is 2x-5y-3=0. The equation of the line in point slope form is ___. The equation of the line in general form is ____= 0. PLEASE HELP ASAP.
Answers
The equation of a parallel line through point (h, k) can be found by altering the given line's equation this way:
remove any constant (or replace it with 0, as appropriate)replace x with (x-h)replace y with (y-k)To change this equation to point-slope form, solve for y (without expanding the x-term). If there is any constant added to the x-term, add its opposite (so it appears with y).
Here, that looks like ...
... 2(x+9) -5(y-9) = 0
... -5(y-9) = -2(x+9) . . . . add the opposite of the x-term
... y - 9 = 2/5(x +9) . . . . this is the point-slope form you want
_____
To put the equation in general form, multiply by the common denominator of any fractions, and subtract the stuff on the right side of the equal sign. Factor out any common factors of the integer coefficients and constant, and multiply by -1 if the leading coefficient is negative.*
Here, we multiply by 5 (and eliminate parentheses) to get
... 5y -45 = 2x +18
... -2x +5y -63 = 0 . . . . right side subtracted
... 2x -5y +63 = 0 . . . . . leading coefficient made positive. This is your general form.
___
* Actually, I can find no requirement that General Form have a positive leading coefficient. Nor is there a requirement that the coefficients be mutually prime. However, these are requirements for the very similar Standard Form, which has the constant on the right side of the equal sign, instead of the left. Since leading minus signs tend to get lost, IMO, it is a good idea to make the leading coefficient positive, even if it is not a requirement.
Related Questions
A bakery has 72 half gallons of milk. It takes 1 2/3 cups of milk to make the cake. Note that 1 cup= 1/8 half gallon= 0.125 half gallon. How many cakes can the bakery make? A. 43 cakesB. 288 cakesC. 345 cakesD. 576 cakes
Answers
To determine the number of cakes the bakery can make, the required milk per cake in cups is converted to half gallons and then divided into the total available milk in half gallons. Upon calculation, the bakery can make approximately 345 cakes. Thus, the correct answer to the student's question is option C) 345 cakes.
To solve how many cakes the bakery can make using 72 half gallons of milk and with each cake requiring 1 2/3 cups of milk, we must first convert the cups needed for one cake into half gallons. Since 1 cup equals 0.125 half gallons, 1 2/3 cups is equivalent to 1.6667 * 0.125 half gallons. Now, let's calculate the number of cakes:
1 2/3 cups of milk for one cake = 1.6667 * 0.125 half gallons = 0.2083 half gallons per cake.Total available milk in half gallons = 72.Number of cakes = Total available milk / Milk per cake = 72 / 0.2083.After performing the division, we find that the bakery can make approximately 345 cakes. Therefore, the correct answer is C. 345 cakes.
a cookie recipe calls for a half cup of chocolate chips per 3 dozen cookies. How many cups of chocolate chips should be used for 10 dozen cookies?
Answers
To answer this question, you should set up a proportion that demonstrates the ratio of chocolate chips to cookies.
[tex]\frac{0.5}{36} =\frac{x}{120}[/tex]
36 and 120 are used because 1 dozen=12.
Cross multiply and solve for x to get the answer.
[tex]60=36y[/tex]
[tex]\frac{5}{3}=x[/tex]
The answer is [tex]\frac{5}{3}[/tex] cups.
The number of cups of chocolate chips that should be used for 10 dozen cookies is 1 2/3 cups.
Based on the information given, the expression to solve the question will be:
0.5/3 = x/10
Cross multiply
3 × x = 0.5 × 10
3x = 5.
x = 5/3
x = 1 2/3 cups
Therefore, the number of cups of chocolate chips that should be used for 10 dozen cookies will be 1 2/3 cups.
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Which inequality matches the graph?
Answers
b is the answer because it hits positive two on the x axis and -3 on the y axis
Brainliest + points! Help please! Mathematicians
Answer and explain (No its not the lower extreme etc. Its the values and the actual numbers)
Answers
There are 5 parts of a box-and-whisker plot.
Lowest Value (Minimum)= that's the left end of the graph, and shows what the minimum value is. Here, the minimum is 46.
Lower Quartile (Q₁)= This is the left edge of the "box" in a box-and-whisker plot. Here it is 55.
Median (Q₂)= This is the line in the middle of the box, and represents the very center of minimum and maximum values. Here it is 58.
Upper Quartile (Q₃)= This is the right edge of the box in a box-and-whisker plot. Here it is 63.
Highest Value (Maximum)= This is the farthest right point on your plot. Here it is 66.
Hope this helps! If you have any questions, please feel free to ask in the comments below!
The term 'lower extremes' in mathematics typically refers to the minimum value of a data set, but in this case, the student is asking for the values that represent the lower extremes.
Explanation:In mathematics, the term 'lower extremes' usually refers to the lower limit of a data set, also known as the minimum value. However, since the question specifically asks for 'values and actual numbers', we can assume that the student is referring to the values that represent the lower extremes in the data set. For example, if the data set is {3, 5, 1, 2, 7}, the lower extremes would be the values 1 and 2.
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5q greater than or equal to 8q -3/2
Answers
5q ≥ 8q - 3/2
Add 3/2 to both sides.
3/2 + 5q ≥ 8q
Subtract 5q from both sides.
3/2 ≥ 3q
Multiply both sides by 2.
3 ≥ 6q
Divide both sides by 6.
0.5 ≥ q.
The value of q is less than or equal to 0.5.
What happens to ice as it melts
Answers
hope this helped
Ice will turn to water. When ice is frozen, the particles are compact and slow. Once the ice heats up, the particles will become less compact and move faster.
State of the number 49/9 (square root) is a rational or irrational
A. Rational
B. Irrational
Answers
49/9 = 7
is a rational number as it has a definite answer 7.
Hope it helps you.
Which points are on the graph of the function rule ƒ(x) = 10 – 4x? ( –18, 2), ( –10, 0), ( –2, –2) (18, –2), (10, 0), (2, 2) (–2, 18), (0, 10), (2, 2) (2, –18), (0, –10), ( –2, –2)
Answers
(2, 2 ), (- 2, 18 ), (0, 10 )
substitute the x-coordinate of each point into f(x) and if the value is equal to the y-coordinate then it is on the graph of f(x)
(- 18, 2 ) ⇒ y = 10 + 72= 82 ≠ 2
(- 10, 0 ) ⇔ y = 10 + 40 = 50 ≠ 0
(- 2, - 2 )⇒ y = 10 + 8 = 18 ≠ 2
(18, - 2 ) ⇒ y = 10 - 72 = - 62 ≠ - 2
(2, 2 ) ⇒ y = 10 - 8 = 2 ⇒ (2, 2 ) is on graph
(- 2, 18 ) ⇒ y = 10 + 8 = 18 ⇒ (- 2, 18 ) is on graph
(0, 10 )⇒ y = 10 - 0 = 10 ⇒ (0, 10 ) is on graph
(2, - 18 ) ⇒ y = 10 - 8 ≠ - 18
Which expression can be used to convert 22 Australian dollars to US dollars? Assume 1.2 Australian dollars equals 1 US dollar
Answers
Answer:
The conversion factor to use here is ($1 US dollar) / (1.2 Austr. dollars), and the
final result is 22 Austr. dollars = US$18.33.
Step-by-step explanation:
The relevant conversion factor here is
1 US dollar
-----------------------
1.2 Aust. dollars
Then:
22 Aust. dollars 1 US dollar
------------------------ * ------------------------- = 18.33 US
1 1.2 Austr. dollars
Eric is having a party. he'll have 3 tables for every 6 guests. complete the table showing the number of tables and the number of guests
Answers
3 tables 6 guest
6 tables 12 guest
9 tables 18 guest
12 tables 24 guest
15 tables 30 guest
The relationship between the number of tables and guests for Eric's party maintains a consistent ratio of 1 table for every 2 guests. By setting up a proportional table, we can see this ratio and calculate the number of tables needed for any given number of guests.
The question involves creating a table to show the relationship between the number of tables and the number of guests at Eric's party. Since we know that there are 3 tables for every 6 guests, we can create a proportional table that maintains this 1:2 ratio (one table for every two guests). For example, if there were 12 guests, you would need 6 tables (because 12 guests divided by the ratio of guests to tables, which is 2, equals 6 tables). Similarly, if there were 18 guests, you would need 9 tables, as 18 divided by 2 equals 9.
Proportional Table for Eric's Party:
6 guests - 3 tables12 guests - 6 tables18 guests - 9 tables24 guests - 12 tables30 guests - 15 tables... and so on.This table can be continued in the same manner as long as you keep the same ratio of 1 table for every 2 guests.
Each week leslie jogs 20 minutes for every 10 minutes that she lifts weights. Is the number of minutes Leslie jogs each week proportional to the number of minutes that she lifts weights each week?
Answers
It is proportional because the ratio never changes and increases at a constant rate.
Karissa begins to solve the 1/2 (x-14)+11=1/2x-(x-4)
Answers
Answer:
Step-by-step explanation:
C)0
You have a shelf that holds 25 1/2 pounds. How many 1 1/4 pound books can the shelf hold? Explain your response
Answers
[tex]25.5 \div 1.25 = [/tex]
Answer:
20 2/5
Step-by-step explanation:
25 1/2
1 1/4
1 1/4 times 4 is 5
5 times 5 is 25
What is the solution to this equation? x + 13 = 34
Answers
Answer:
x=21
Step-by-step explanation:
Hello
The solution to the equation is the numerical values of the letters for which equality is true.
To find the value of x , you have to isolate x. to do this, you pass the 13 that is positive number to the other side of the equation,When you pass a positive number to the other side of the equation it passes as negative number.
x+13=34
x=34-13
x=21
Have a great day
if 5/8 yards of fabric costs 3.75 dollars what does one yard cost
Answers
The cost of one yard of fabric, based on given prices, is 6 dollars. This is calculated by taking the total cost and dividing by the total quantity, using the concept of ratio and proportion in mathematics.
Explanation:This problem revolves around the concept of unit rates in mathematics, especially ratio and proportion. If 5/8 yards of fabric costs 3.75 dollars, then to find the cost of one yard, known as the unit rate, we need to divide the total cost by the total quantity. Therefore, the cost of one yard would be 3.75/(5/8), which equals 6 dollars. Hence, one yard of fabric costs 6 dollars.
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0.2= what doe it equal
Answers
It equals 20%. Or 2/10
1/5 because it equal 20 percentile.
jacklyn's employer matches 30% of Jacklyn's contributions to her 401(k) plan if her employer contributed $300 to the plan last year, how much did Jacklyn contribute to the plan last year?
A) $1300
B) $1000
C) $700
D) $900
Answers
B because 30% of 1000 is 300
Answer:
Option B) $1000 would be correct.
Step-by-step explanation:
Jacklyn's employer matches 30% of Jacklyn's contributions to her 401(k) plan.
Let Jacklyn's contribution = x
Her employer's contribution = 30% of x = 300
= [tex]\frac{30x}{100}[/tex] = 300
= 30x = 300 × 100
= x = 30000 ÷ 30 = $1000
Jacklyn contributed $1000 to the 401(k) plan last year.
what is the simplest form of 0.875 as a fraction
Answers
0.875 is equivalent to 7/8
Leave a thanks if this helped
Name the operation you would do first, -4 + (3) (-8) + 6(-4)
Answers
You would do 3*-8 and 6*-4
-4+(-24)+(-24)
-4-24-24
-28-24
-52
Hello there!
[tex]-4 + (3) (-8) + 6(-4)[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
You had to used order of operations.
P-Parenthesis
E-Exponents
M-Multiply
D-Divide
A-Add
S-Subtract
First you had to multiply and divide from left to right.
[tex](3)(-8)=-24[/tex]
[tex]-4-24+6(-4)[/tex]
Then you can multiply and divide from left to right again.
[tex]6(-4)=-24[/tex]
[tex]-4-24-24[/tex]
You can also add and subtract from left to right.
[tex]-4-24-24=-52[/tex]
[tex]=-52[/tex]
Answer⇒⇒⇒⇒=-52
Hope this helps!
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Have a great day!
-Charlie
What is the product of (9)(-9)(-1)?
Answers
Answer:
The answer is 81
Step-by-step explanation:
Hope this helps
c - 1.5+6.8=0.6 what is x
Answers
Ok! I gotcha!
C-1.5+6.8=0.6
Steps:
Add/Subtract The #!
c+5.3=0.6
Subtract 5.3 On Both Sides!
c+5.3-5.3=0.6-5.3
Simplify!
c=-4.7
A rental car company charges a basic fee plus a price per mile. One customer drove 250 and paid 56.50, while another customer drove 400 and paid 79. Write an equation in slope - intercept form for the cost of renting a car. Use your equation to find how much it would cost to drive 325 miles?
Answers
Answer:
y = 0.15x+19 and
67.75
Step-by-step explanation:
Let us assume y for total cost and x no of miles.
Then x and y are related by a straight line.
Two points lying on the line are
(250,56.50) and (400,79)
Use two point formula
y-56.50/(79-56.50) = x-250/(400-250)
y-56.50 = 22.5(x-250)/150
y = 22.5x/150 -37.50+56.50
Or y = 0.15x+19
To find out cost for 325 miles:
x=325
y= 0.15(325)+19
= 48.75+19
=67.75
Can someone help me please???
Answers
A full circle = 360 degrees.
Mrs Wood and Mrs Patel = 360 - 64 = 296 degrees.
Mrs Wood is 24 more than Mrs Patel:
296-24 = 272 / 2 = 136
Mrs Patel = 136 degrees
Mrs Wood = 136 + 24 = 160 degrees.
Number of votes for Mrs Patel = 136/360 x 5220 = 1,972 votes.
Which shows the repeated multiplication for 9³?
a 9 • 9 • 9
b 9 • 9 • 9 • 3
c 3 • 3 • 3 • 3 • 3 • 3 • 3 • 3 • 3
d 9 • 3
Answers
its A. because the exponent which in this case is 3, is multiplied 3 times. so 9 is multiplied 9 times
A. because 9 is being multiplied 3 times by itself
evaluate 9- 8/s when s=4
Answers
Answer:
Your answer would be 7.
Step-by-step explanation:
9 - 8/s first you divide 8 and s which in this case is 4.
8/4 is 2.
9 - 2 = 7
Therefore, your answer is 7
The required value of 9 -8/s when x = 4 is 7.
Given that,
to determine the value of the expression 9- 8/s when s=4.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
What is simplification?
The procedure in mathematics to perform and solve the expression to make expression simple or more understandable called simplify and the process is called simplification.
Here,
Let the given expression is equal to x
x = 9 - 8/s
here, s = 4
x = 9 - 8 /4
x = 9 - 2
x = 7
Thus, the required value of 9 -8/s when x = 4 is 7.
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Isabella sells 36 tickets to the school talent show each ticket cost $14 how much money does Isabella collect the tickets she sells
Answers
36*14=504
She gets $504 from selling 36 tickets at $14 each.
GEOMETRY PEOPLE HELP ME PLEASEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!
I WILL GIVE BRAINLIEST!!!!!!!!!!!!
2. Marissa labeled the corners of both the picture and the mat as shown. Complete the table
3. Marissa thinks that there could be a pattern between the scale factor and perimeter of an image and its pre-image and between the scale factor and area of an image and its pre-image.
(a) Determine the perimeter and area of the picture and the perimeter and area of the mat.
(b) Create a table that shows the perimeter and area of the picture and the perimeter and area of the mat for scale factors of 2, 3, and 4.
Answers
Table
________________________________
Scale factor 3.
(-1-3,2+3) --> A(-4,5)
(1+3,2+3) --> B(4,5)
(1+3,-2-3) --> C(4,-5)
(-1-3,-2-3) --> D(-4,-5)
(-2-3,3+3) --> E(-5,6)
(2+3,3+3) --> F(5,6)
(2+3,-3-3) --> G(5,-6)
(-2-3,-3-3) --> H(-5,-6)
___________________________________
Scale factor 4
(-1-4,2+4) --> A(-5,6)
(1+4,2+4) --> B(5,6)
(1+4,-2-4) --> C(5,-6)
(-1-4,-2-4) --> D(-5,-6)
(-2-4,3+4) --> E(-6,7)
(2+4,3+4) --> F(6,7)
(2+4,-3-4) --> G(6,-7)
(-2-4,-3-4) --> H(-6,-7)
______________________________________________________
Second Image.
Scale Factor 2
Length = 6
Width = 8
Perimeter = 2(6+8)= 2(14) = 28
Area = 6 times 8 = 48.
Scale Factor 3
Length = 8
Width = 10
Perimeter = 2(8+10)= 2(18) = 36
Area = 8 times 10 = 80.
Scale Factor 4
Length = 10
Width = 12
Perimeter = 2(10+12)= 2(22) = 44
Area = 10 times 12 = 120.
_____________________________________________
Scale Factor 2
Length = 8
Width = 10
Perimeter = 2(8+10)= 2(18) = 36
Area = 8 times 10 = 80.
Scale Factor 3
Length = 10
Width = 12
Perimeter = 2(10+12)= 2(22) = 44
Area = 10 times 12 = 120.
Scale Factor 4
Length = 12
Width = 14
Perimeter = 2(12+14)= 2(26) = 52
Area = 12 times 14 = 168.
Why are you guys adding? Aren't you supposed to multiply the cordinates by the scale factor?!?!?!?!
Algebra 2...can someone tell me how to do this???
Answers
Use the 2 dots on the line located at (0,1) and (-3,0).
The slope is the change in Y over the change in X:
Change in Y = 0-1 = -1
Change in X = -3 - 0 = -3
Slope = -1 / -3 = 1/3
They intercept in this case is Y1 which = 1.
The equation is y = 1/3x + 1
Jackson drinks 0.44 liters of water, which was 55% of the water in the bottle. How much water was in the bottle to start?
Answers
Answer:
He had 0.8 liters to start with...
Step-by-step explanation:
0.44 is 55% of what? (what = x)
Equation: Y = P% * X
X = Y/P%
X = 0.44/55%
55% = 0.55
X = 0.44/0.55
X = 0.8
Answer:
ans is 0.8 liters
Step-by-step explanation:
Jackson drinks 0.44 liters of water, which was 55% of the water in the bottle.
Let X be the volume of water in the bottle to start.
55% of X = 0.44L
X = 0.44/55% = 0.44/55*100=44/55=4/5=0.8 liters
there are 4 planets. the first planet has an orbit of 3 years. The second planet has an orbit of 5 years. The third planet has an orbit of 8 years. The fourth planet has an orbit of 12 years. if there in conjunction how long till they're in conjunction again? math problem answer
Answers
Find the LCM of the four numbers (3, 5, 8, 12)
3: 3
5: 5
8: 2 * 2 * 2
12: 2 * 2 * 3
LCM = 2 * 2 * 2 * 3 * 5
= 120
Answer: 120 years
Final answer:
The planets will be in conjunction again after 15 years.
Explanation:
To determine when the planets will be in conjunction again, we need to find the least common multiple (LCM) of their orbital periods.
The orbital periods of the four planets are: 3 years, 5 years, 8 years, and 12 years.
To find the LCM, we can list the multiples of each of the numbers and identify the smallest number that appears in each list.
The multiples of 3 are: 3, 6, 9, 12, 15, ...
The multiples of 5 are: 5, 10, 15, 20, 25, ...
The multiples of 8 are: 8, 16, 24, 32, ...
The multiples of 12 are: 12, 24, 36, ...
The smallest number that appears in all lists is 15, so the planets will be in conjunction again after 15 years.