what is the equation of the line that is parallel to the given line and passes through the point (2, 3)?
Answers
Given problems:
Line parallel that passes through (2,3);
Solution:
To solve this problem, we need to first understand what parallel lines are.
A parallel line is any two line that does not meet at any point.
In order to achieve this, both lines must have the same slope.
So, we find the slope of the given line and write in the form for a straight line.
Slope of line = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
let x₁, y₁ = (-2, -1)
x₂, y₂ = (2 , -3)
Now input the parameters and solve for the slope;
Slope of line = [tex]\frac{-3-(-1)}{2- (-1)}[/tex] = [tex]\frac{-2}{3}[/tex]
Any line that would be parallel to this must have the same slope.
Equation of a straight line;
y = mx + c;
y and x are the coordinates;
m is the slope
c is the y-axis intercept;
From (2, 3);
y = 3 and x = 2; m = [tex]\frac{-2}{3}[/tex]
3 = [tex]\frac{-2}{3}[/tex] x 2 + C
3 = [tex]-\frac{4}{3}[/tex] + C
C = [tex]\frac{13}{3}[/tex]
So the equation of the line is;
y = [tex]\frac{-2}{3} x[/tex] + [tex]\frac{13}{3}[/tex]
Multiply through by 3;
3y = -2x + 13
The equation of the line is 3y = -2x + 13
Answer:
x + 2y = 8
Step-by-step explanation:
Related Questions
A sample of 87 glass sheets are measured for thickness. They have a sample mean of 4.20 mm and a sample standard deviation of 0.10 mm. What is the level of the confidence interval (4.185, 4.215)?
Answers
Answer:
83.85%
Step-by-step explanation:
The formula for confidence interval
= Mean ±( z × Standard deviation/√n)
Confidence Interval = Mean ± Margin of Error
Mean = 4.20mm
n = 87
Standard deviation = 0.10mm
z = ????
Hence:
Confidence Interval = Mean ± Margin of Error
Step 1
We find the Margin of Error
(4.185, 4.215) = 4.20 ± Margin of Error
4.20 - 4.185 = 0.015
4.215 - 4.20 = 0.015
Hence, Margin of Error = ± 0.015
Step 2
We find the z score
Margin of Error = z × Standard deviation/√n
±0.015 = z × 0.10/√87
± 0.015 = 0.0107211253z
z = ±0.015/0.0107211253
z = 1.39910686428
z score ≈ 1.4
Step 3
We find the confidence interval that corresponds to 1.4
Using the z table to find the Probability
P(z = 1.4) = 83.85%
Therefore, the level of the confidence interval (4.185, 4.215) is 83.85%
Answer:
[4.1mm to 4.3mm]
Step-by-step explanation:
Sample size = 87 glass sheets
Sample mean = 4.2mm
Sample standard deviation = 0.1mm
Confidence interval or level = the range from lower limit of sample mean to upper limit of sample mean
[4.2 - 0.1] to [4.2 + 0.1] = [4.1mm to 4.3mm]
How do I work this problem -16f+13=2f-11
Answers
Answer:
f = 4/3
Step-by-step explanation:
-16f + 13 = 2f - 11
24 = 18f
Divide
24/18 = f
4/3 = f
[tex] - 16f + 13 = 2f - 11[/tex]
Subtract sides -13
[tex] - 16f + 13 - 13 = 2f - 11 - 13 \\ [/tex]
[tex] - 16f = 2f - 24[/tex]
Subtract sides -2f
[tex] - 16f - 2f = 2f - 2f - 24[/tex]
[tex] - 18f = - 24[/tex]
Negatives simplifies
[tex]18f = 24[/tex]
Divided sides by 18
[tex] \frac{18}{18}f = \frac{24}{18} \\ [/tex]
[tex]f = \frac{4}{3} \\ [/tex]
_________________________________
And we're done.....♥️♥️♥️♥️♥️
6570 ÷ 16
410
410 1/16
410 3/8
410 5/8
Answers
Answer:
Exact Form:
3285
8
Decimal Form:
410.625
Mixed Number Form:
410
5
8
thats what i got i hope this helps
Step-by-step explanation:
is the ratio of chocolate to ice cream comes in a book is 5:8 and the number of chocolate is 30 find the number of ice cream cones
Answers
Answer:
48
Step-by-step explanation:
This is because I know that 5 times 6 is 30 so I would just have to do 8 times 6 which is 48
Which of the following is the solution to 17 - 2x = -11?
A. 3
B. -14
C. 14
D. -3
Answers
The answer is c because 2 times 14 is 28 and 17-28=-11
Answer:
14
Step-by-step explanation:
Divide each term by -2 and simplify
Hope this helped!
Please help me I will give you the brainliest (I Didn’t spell that right but don’t care)
Answers
Answer:
positive
positive
negative
1 or -1
Step-by-step explanation:
Answer:
The product of two positive integers is always a positive
The product of two negative integers is always a positive
The product of a positive integer and a negative integer is always negative
The product of any integer and -1 is always a 1 or -1
Step-by-step explanation:
Hope this helps :)
find the quotient 4/7 divided by 1/5
Answers
Answer:
2 6/7
Step-by-step explanation:
You have to use the KEEP CHANGE CHANGE method. When you do this you end up with 4/7*5/1 which equals 20/7 and you then change that into a mixed number and you have your answer!
HOPE THIS HELPS!
Answer:
The answer is 2 6/7
Step-by-step explanation:
First, you set up the problem.
[tex]\frac{4}{7} / \frac{1}{5}[/tex]
Next, you change the division sign into multiplication
[tex]\frac{4}{7} x \frac{1}{5}[/tex]
Then you flip the 1/5
[tex]\frac{4}{7} x \frac{5}{1} \\[/tex]
Afterward, you multiply fractions straight across.
[tex]\frac{4}{7} x \frac{5}{1} =\frac{20}{7}[/tex]
Finally, you will simplify your answer into a mixed number.
[tex]\frac{20}{7} = 2 6/7[/tex]
Hope this helps!!
Write the values of the 9s in 990.250. How are the values related?
Answers
Answer:
Leftmost 9: 900
9 between 9 and 0: 90
9 on left is worth 10 times 9 on right.
Step-by-step explanation:
990.250
The 9 at the left is in the hundreds place, so it represents 9 hundreds, so its value is 900.
The 9 between the 9 and the 0 is in the tens place, so it represents 9 tens, and its value is 90.
Since the places are right next to each other, the 9 on the left is worth 10 times the 9 on the right. Sure enough, 900 is 10 times 90.
Write the equation of the line that passes through the points (1, 7) and (5, 15) using function notation.
Answers
Answer:
use the formula for a line through two points
[tex]y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \times (x - x_{1})[/tex]
plug in the given points:
[tex]y - 7 = \frac{15 - 7}{5 - 1} \times (x - 1)[/tex]
[tex]y = \frac{8}{4} \times (x - 1) + 7[/tex]
[tex]y = 2 \times (x - 1) + 7 \\ y = 2x - 2 + 7 \\ y = 2x + 5[/tex]
Which graph represents the linear equation y = 1?
Answers
Answer:
but there's no choices
Answer:
Since theres no options. The answer should look like this below:
<-------------------------------------------------------------------------------------------> x axis
Step-by-step explanation:
A restaurant owner mixed the juices of 7 lemons with every 3 oranges to make a special drink
Which ratio of lemons to oranges will make the same drink?
a:28:15
b:42:21
c:21:9
d:15:35
Answers
Answer:
C, 21:19
Step-by-step explanation:
This is because we know that 21 divided by 7 is 3, so we would have to make sure that we are multiplying 7:3 by 3, which we are because 7 times 3 = 21 and 3 times 3 = 9.
Mr.Milton had $1200 in his savings account at the beginning of the year. If his account has a balance of $1230 at the end of the year, what percent increase of his balance?
Answers
Answer:
2.5%
Step-by-step explanation:
1230-1200 = 30
30÷1200 = 0.025
0.025 x 100 = 2.5
the owner of an apple orchard ships apples in boxes that weigh 2 kilograms ( kg ) when empty. the average apple weighs 0.25 kg and the total weight of a box filled with apples is 12 kg. how many apples are packed in each box?
a. 14
b. 30
c. 40
d. 56
Answers
Answer: C=40
Step-by-step explanation: X=40 APPLES PER BOX.
PROOF:
2+.25*40=12
2+10=12
12=12
6. Which of the following is true about the
graph of the equation y = -5x + 10?
A. The graph would increase from left to right.
B. The graph would pass through the origin.
C. The graph would have a positive y-intercept.
Answers
Answer:
C
Step-by-step explanation:
The graph would have a positive y-intercept
The y-intercept is when x = 0
To find the y-intercept, plug in 0 for x
y = -5(0) + 10
y = 0 + 10
y = 10
10 is a positive number
Y-intercept is positive
Let f(x)=(5)x+12. Evaluate f(0) without using a calculator.
Answers
Answer:
f(0) = 12
Step-by-step explanation:
You want to substitute 0 for x
f(0) = 5(0) + 12
f(0) = 12
Answer:
13
Step-by-step explanation:
Substitute 0 for x and simplify. f(0)=(5)0+12=1+12=13.
Write an equation that gives the amount of snow that has fallen after x hours at this rate. (Use the form y=kx)
PLZ HELPPPP
Answers
Answer:
Y=2x
Step-by-step explanation:
The complete table is given as follows -
Time (in hours) Snow (in inches)
0 1
1 2
2 4
6.5 13
[x] [2x]
The equation that shows the amount of snow that has fallen after [x] hours can be written as y = 2x
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is that snow Is falling steadily such that after 2 hours, 4 inches of snow has fallen.
In 2 hours → 4 inches of snow has fallen.
Then, in 1 hour → (4/2) → 2 inches of snow has fallen.
So, in 6.5 hours → 2 x 6.5 → 13 inches
Hence, in x hours → 2x inches
The complete table is shown below
Time (in hours) Snow (in inches)
0 1
1 2
2 4
6.5 13
x 2x
The equation that shows the amount of snow that has fallen after [x] hours can be written as -
y = 2x
Therefore, the complete table is given as follows -
Time (in hours) Snow (in inches)
0 1
1 2
2 4
6.5 13
[x] [2x]
The equation that shows the amount of snow that has fallen after [x] hours can be written as y = 2x
To solve more questions on straight lines, visit the link below-
brainly.com/question/29030795
#SPJ2
[Refer to image for complete question]
The record low temperature in Pittsburgh, PA is -22°F. The record high is 103°F. What is the difference in the record high and the record low temperatures?
Answers
Answer:
The difference in the record high and the record low temperatures is 125°F
Step-by-step explanation:
Given a quantity T that varies in time, say T1 and T2, being T1 the initial value and T2 the final value.
The change or difference between the final and the initial values is:
T=T2-T1
The record low temperature in Pittsburgh, PA is T1=-22°F while its record high is T2=103°F
The difference is:
T=103°F - (-22°F)
Note both negative signs multiply to produce a positive sign, and a sum instead of a subtraction:
T=103°F + 22°F = 125°F
The difference in the record high and the record low temperatures is 125°F
The ages of three siblings are all consecutive integers. The sum of their ages is 39. How old is the youngest sibling?
could anyone explain this in a 2 part answer
Answers
Answer:
Let x = the age of the youngest child
Let x + 1 = the age of the middle child
Let x + 2 = the age of the oldest child
x + x + 1 + x + 2 = 39
3x + 3 = 39
3x = 36
x = 12 years
Look at this equation.
0.3x + 5. 14 = 2. 1x - 4.4
Which value of x makes the equation true?
0
-5.3
O - 4.1
O 4.1
O 5.3
Answers
Answer:
5.3
Step-by-step explanation:
1.8x = 9.4
x = 5.3
The value of x that makes the equation true is 5.3, the correct option is D.
What is an Equation?An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The equation is,
0.3x + 5. 14 = 2.1x - 4.4
The equation is made of two expressions,
The expression 1 is : 0.3x + 5. 14
The expression 2 is : 2.1x - 4.4
The value of x that makes the equation true has to be determined.
0.3x + 5. 14 = 2.1x - 4.4
Grouping the like terms on one side.
5.14 +4.4 = 2.1x -0.3x
Solving the variables and constants
9.54 = 1.8 x
Dividing 1.8 on both sides of the equation.
x = 9.54 /1.8
x = 5.3
The value of x at which the equation is true is 5.3.
To know more about Equation
https://brainly.com/question/10413253
#SPJ6
A large ladder leans against a house with the base of the ladder 5.8 horizontal feet from
the base of the house. If the ladder has a slope of 3.3 feet per foot, at what height does the top of the ladder meet the house? (Round your answer to two decimal places.)
=_______ft
Answers
Answer:
At 19.14 feet the top of the ladder meet the house.
Step-by-step explanation:
It is given that,
A large ladder leans against a house with the base of the ladder 5.8 horizontal feet from the base of the house.
Slope of the ladder, m = 3.3 feet/foot
We need to find at what height does the top of the ladder meet the house. Let it is h.
Base, b = 5.8 feet
It will form a right angle triangle
Slope=h/base
h = slope × base
h = 3.3 × 5.8
h = 19.14 feet
So, at 19.14 feet the top of the ladder meet the house.
WHICH ONE IS IT ?????!!!!!
Answers
Answer:
option 2 i think i hope i am right
Hey 675 m bike trails pass-through far is Meadow Aracely exhale the trail that cuts through Meadows flags meadow a measures 24 3/4m three legs measure 52.25 m on one leg measures 32 m the rest of the trail pass through forces how many meters of the trail pass through the forest
Answers
Answer:
436.75
Step-by-step explanation:
Answer:
436.75
Step-by-step explanation:
What is the domain of this function?
Answers
Domain = inputs = x = { 1 , 2 , 3 }
Range = outputs = y = { 2 , -1 }
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
2 pay raises in 3 years unit rate
Answers
Answer:
1:1.5
Step-by-step explanation:
cut the 3 in half and cut the 2 in half
How do you solve 5x + 7 = 2x + 1
Answers
Answer:
x = -2
Step-by-step explanation:
5x + 7 = 2x + 1
subtract both sides by 2x
3x + 7 = 1
subtract both side by 7
3x = -6
divide both sides by 3
x = -2
<2 and <3 are ____ angles
complementary
vertical
congruent
supplementary
Answers
Answer:
I think it's supplementary
Answer:
supplementary
Step-by-step explanation:
∠2 and ∠3 are supplementary angles
this means ∠2 and ∠3 are equal to 180
30 g of pineapple are added to drink the drink rises 5 ml what is the density of the pineapple
Answers
Answer:
6g/mL
Step-by-step explanation:
Given parameters:
Mass of pineapple = 30g
Volume of rise = 5mL
Unknown:
Density of pineapple = ?
Solution:
Density of a substance is the mass per unit volume. Mathematically, it is expressed as;
Density = [tex]\frac{mass}{volume}[/tex]
The volume is the rise in the pineapple drink.
Insert the parameters and solve;
Density = [tex]\frac{30}{5}[/tex]
Density = 6g/mL
Mrs. Lewis received her paycheck this week in the amount of $535.75. She spent $76.98 on groceries, she paid her $59.95 phone bill and she spent $22.45 at the movies. How much did she have left over?
Answers
Answer:
376.37
Step-by-step explanation:
Answer:
376.37
Step-by-step explanation:
help me plz i promise i will mark brainliest
Answers
Answer:
The answer is A.
Step-by-step explanation:
what is the product of 4/9 and 1/11? 4/99 5/99 9/44 1/4
Answers
Answer:
4/99
Step-by-step explanation:
Multiply the numerator and den0ominater, then stack them
Answer:
4/99
Step-by-step explanation:
4/9 * 1/11
Multiply the numerators
4*1 = 4
Multiply the denominators
9*11 = 99
numerator over denominator
4/99