Answer:
y= -x+5
Step-by-step explanation:
The slope of the two parallel lines is equal
so, the slope of
y=-x-3 is -1
slope=y2-y1/x2-x1=-3-15/8--10=-1
the equation of the line is
y-15= -1(x--10)
y= -x-10+15
y= -x+5
Considering the expression of a line and parallel lines, you obtain, the correct answer is third option: the equation of the line that passes through the pair of points (-10,15) and (8, -3) is y= -x +5.
Definition of linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Knowing two points (x1, y1) and (x2, y2) of a line, the slope m of said line can be calculated using the following expression:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.
Definition of parallel linesParallel lines are two lines that always maintain the same distance and if they were extended to infinity they would never touch.
That is, parallel lines are two or more lines that never intersect.
Parallel lines are characterized by having the same slope.
Linear equation in this caseSo, in this case, being (x1,y1)= (-10,15) and (x2,y2)= (8,-3), the slope m can be calculated as:
[tex]m=\frac{-3-15}{8-(-10)}[/tex]
[tex]m=\frac{-18}{18}[/tex]
m=-1
So, being y= -1x + b and considering point 1, you obtain:
15= -1×(-10) +b
15= 10 + b
15-10=b
5= b
So, the equation of the line is y=-1x + 5= -x +5
To know if this line is parallel to y +4= -(x - 1), in first place you must rearrange this second equation of a line:
y +4= -x +1
y=-x +1 -4
y= -x-3
You can see that both equations of a line have -1 as the slope value m.
Finally, the correct answer is third option: the equation of the line that passes through the pair of points (-10,15) and (8, -3) is y= -x +5.
Learn more about the equation of a line having 2 points:
brainly.com/question/12851029?referrer=searchResults
brainly.com/question/19496333?referrer=searchResults
Hello, please help me solve this problem:
The weight w (in pounds) that can be supported by a shelf made from half-inch Douglas fir plywood can be modeled by w=(82.9/d)3 where d is the distance (in inches) between the supports for the shelf. Find the inverse of the function. Then find the distance between the supports of a shelf that can hold set of encyclopedia weighing 66 pounds.
The inverse of the function is given by:
[tex]w = \frac{82.9}{\sqrt[3]{d}}[/tex]
Considering a weight of 66 pounds, the distance is of 1.98 inches.How to find the inverse function?To find the inverse function, considering x and y as inputs, we exchange x and y in the original function, then isolate y.In this problem, the function is:
[tex]w(d) = \left(\frac{82.9}{d}\right)^3[/tex]
The output is w, input d, hence we exchange them, and isolate w.
[tex]d = \left(\frac{82.9}{w}\right)^3[/tex]
[tex]dw^3 = 82.9^3[/tex]
[tex]w^3 = \frac{82.9^3}{d}[/tex]
[tex]w = \sqrt[3]{\frac{82.9^3}{d}}[/tex]
[tex]w = \frac{82.9}{\sqrt[3]{d}}[/tex]
Considering a weight of 66 pounds, [tex]w = 66[/tex], hence the distance is:
[tex]dw^3 = 82.9^3[/tex]
[tex]d = \frac{82.9^3}{66^3}[/tex]
[tex]d = 1.98[/tex]
Considering a weight of 66 pounds, the distance is of 1.98 inches.
You can learn more about inverse functions at https://brainly.com/question/26131242
Zack and Tia chess for 50 minutes they put the chessboard away at 11:20 which clock shows the time they started their class game.
Answer:
10:30
Step-by-step explanation
11:20,
20 minutes after 11, would be 50 (total time)-20(minutes we know after 11). That leaves us with 30 minutes. minutes prior to 11, would be 10:30.
Answer:
the answer is 10:30 because you can split 50 by 20 and 30, take 20 from 11:20 you're left with 11 o'clock. there's 60 minutes in an hour so take 30 away you have 30, and it was the hour before 11 meaning it's 10:30
7 less than the quotient of y divided by 4
Answer:
y/4-7
Step-by-step explanation:
Answer:
(y/4) - 7
Step-by-step explanation:
The term 7 less means -7
The term quotient of y divided by 4 means y/4
The total equation is (y/4) - 7
Or it can be written as 1/4(y) - 7
-Chetan K
if you weighed 92 pounds on earth
Find the equation of a line that passes through the point (0,1) and has a gradient of 2.
Leave your answer in the form y= mx + c
SOS!! HELP ME PLS
WILL GIVE BRAINLIEST WHOEVER ANSWERS CORRECTLY
Answer:
4-4=0
16-6-10=0
17-3-4-10=0
1-2+1=0
Step-by-step explanation:
What is the distance between points A and B?
Answer:
1/3
Step-by-step explanation:
Since there are two points between 1 and 2, we can determine that the distance between each point is 1/3. This is because counting the number 2 (since something like 3/3 is equivalent to 1) there are 3 ticks. This means each tick represents 1/3. Therefore the distance between A and B is 1/3.
Answer:
The distance between a and b is 1/3.
What scale factor was used? Enter the answer and also provide a 1 sentence explanation that describes how you determined your answer. Review the rubric below to see how you will be evaluated.
Answer:
1:5
Step-by-step explanation:
This is because 4x5=20 and 6x5=30 so the scale factor is 1:5
answer the question please.
Answer:
125.5
Step-by-step explanation:
Substitute the values for the variables:
(2)^2 + 1.5(3)^4
Do the exponents first:
4 + 1.5(81)
Multiply:
4 + 121.5
Add:
125.5
1/4 * k ^ 5 - 3k ^ 3 + k ^ 2 - k for k = 2
Answer:
-14
Step-by-step explanation:
(1/4)2⁵-3×2³+2²-2
=(1/4)32-3×8+4-2
=(32/4)-24+4-2
8-24+4-2
=-14
Too much to type!! So here is a photo instead
Answer:
9 months
Step-by-step explanation:
1. write out equation
100 + 22x = 298
2. Subtract 100 from both sides
22x = 198
3. Divide 22 from each side
198/22 = 9
hence, Katrina will pay off the sofa in 9 months.
have a great day! :)
Answer:
x=9
Step-by-step explanation:
100-22x=298
x=9
because, 100-298=198
198/22=9 so, X=9
Can I have help with the question
Answer:
Midpoint = (3.5, 4.5)
Perpendicular bisector = y = [tex]\frac{7}{9}[/tex] x + [tex]\frac{16}{9}[/tex]
Step-by-step explanation:
[] We can solve this using the midpoint formula:
-> See attached
[] Plug-in our coordinates and solve:
[tex](\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )[/tex]
[] Now we will find the slope to solve for the perpendicular bisector.
-> We will use slope-intercept form, see attached
[tex]\frac{9-0}{0-7}=\frac{9}{-7}[/tex]
-> The slopes of two perpendicular lines are negative reciprocals of each other, so [tex]\frac{7}{9}[/tex] will be the slope of or perpendicular bisector
-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint
y - 4.5 = [tex]\frac{7}{9}[/tex] (x-3.5)
y - 4.5 = [tex]\frac{7}{9}[/tex] x-[tex]\frac{49}{18}[/tex]
y = [tex]\frac{7}{9}[/tex] x-[tex]\frac{49}{18}[/tex] + 4.5
y = [tex]\frac{7}{9}[/tex] x + [tex]\frac{16}{9}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Jeffery earned $65 doing yard work. He bought a pair of jeans for $31.25 and a sweatshirt for $16.50. He set aside $17.25.
I need the answer to:
What do you need to find before you can solve yet problem?
Answer:
You would need the total expenditure and minus it from earned money......
hope it helps you
Answer:
You would need the total expenditure and minus it from earned money......
hope it helps you..
Jamiya's family is going shopping. There are three
people, including her, that need new school clothes. The
total amount they can spend is $618.36. If Jamiya had
another sibling how much more money would the family
need to go shopping?
Find the solution to the following system by substitution.
3x + y = 30
y = 3x
A. (5,15)
B. (0,30)
C. (10,30)
D. (10,0)
Answer:
(5,15)
Step-by-step explanation:
A.
Answer:
(5,15)
Step-by-step explanation:
that's the answer, I hope it helps!
A home goods store purchased a desk lamp and marked it up 155% from the original cost of $9.12. Then, wanting to make room for summer inventory, the store placed the desk lamp on sale for 30% off. What was the price after the discount?
Answer:
16.28 Dollars
Step-by-step explanation:
Hope this helps! :)
Can someone help please ASAP!!!!!!!
Answer:
the answer is C: m<CDB=63
50 POINTS! The variables x and y have a proportional relationship, and y=2/5 when x=5/8
Which equation represents this relationship?
y= 1 9/19x y=16/25x y= 9/40x y= 1/4x
Answer:
[tex]y=\frac{16}{25} x[/tex]
Step-by-step explanation:
If y = 2/5 and x = 5/8
[tex]y \div x=\frac{2}{5} \div\frac{5}{8}= \frac{2}{5} \times \frac{8}{5} =\frac{16}{25}[/tex]
So [tex]\frac{y}{x} =\frac{16}{25}\\[/tex] ⇒ [tex]y =\frac{16}{25}x[/tex]
One square mile equals 2.6 square kilometers how many square kilometers are in 14.4 square miles
Answer:
37.44 kilometers
Step-by-step explanation:
2.6 times 14.4 is 37.44
Can I have some help on this question?
Can someone help me with this logic?
Answer:
F + F = T
F + T = F
T + F = F
T + T = T
btw it should be another then that.. because it has negation symbol.. so i belive the final answer are
F
T
T
F
In a basket ball game, the Golden State Warriors make a total of 21 shots. Some shots were 2 points and some were 3 points. The Warriors score a total of 50 points. How many 2-point shots and 3-point shots did they make?
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS
Answer: Ordered pair (-4,1): y-intercept 5
Step-by-step explanation: The y-intercept is (0,5), the 5 representing the y intercept within the pair. Then the point at where your mouse covers, it shows (-4,1), meaning it’s part of the line that is graphed.
Last year, Andrea bought 85 songs from an online company for a total of $96.90. Each song cost $1.09 plus tax.
Part A
Which equation can be used to determine the amount of tax, x, in dollars, that Andrea paid for each song?
85(1.09)+x=96.90
85 times 1 point 0 9 plus x is equal to 96 point 9 0
85x+1.09=96.9085 x plus 1 point 0 9 is equal to 96 point 9 0
85(1.09+x)=96.9085 times open paren 1 point 0 9 plus x close paren is equal to 96 point 9 0
x(85+1.09)=96.90x times open paren 85 plus 1 point 0 9 close paren is equal to 96 point 9 0
Question 2
Part B
How much tax, in dollars, did Andrea pay for each song?
Answer:
Part B: $4.25 tax / Part A: The first Equation, 85 x 1.09 + x = 96.90
Step-by-step explanation:
Part A: She bought 85 songs. The amount of songs times the amount of tax is the total amount of money she spent. X represents the number of dollars. So that's how I got my equation.
Part B explanation: 85 x 1.09 + x = 96.90
x = 4.25
pls help!
Write the quotient as a mixed number.
13 ÷ 6 = 2 R1
Answer:
Exact Form:
r
=
13
12
Decimal Form:
r
=
1.08
¯
3
Mixed Number Form:
r
=
1
1
12
i hope this helped you!!
Use this data to create a scatter plot
Number of Hours vs. Size in Pounds
Size (lb)Time (h)
Size (lb) Time (h)
8 5
12 6.5
9.5 4
5 2
7 3.5
7.5 5 (PS) please send a picture if you can, this is a test for k12
Answer:
I hope it helps.
The quadratic x^-4x-21 can be written in the form (x+a)^+b.Find the values of a and b
Answer: (x - 4)² - 25
Step-by-step explanation:
[tex]{ \boxed{ \tt{ \: {x}^{2} - 4x - 21 \: }}}[/tex]
» Let us use completing perfect squares to find the final expression.
☑ When completing squares, we first find the "square of the half of the sum"
sum is -4[tex]{ \boxed{ \tt{square \: of \: sums \: half = {( \frac{ - 4}{2} )}^{2} = {( - 2)}^{2} = 4 }}}[/tex]
» Then we add the result to x² and -21
[tex] = { \tt{( {x}^{2} - 4x + 4) + ( - 21 - 4) }} \\ = { \tt{ {(x - 2)}^{2} - 25 }}[/tex]
a is -2b is -25What is x and y? in the following figure with steps please
Answer:
x: 148 degrees
y: 32 degrees
Step-by-step explanation:
Hello!
To find the unknown values of these angles, we must understand the concept of intersecting lines. When calculating the angles of the intersecting lines, SQP and RQT are identical values since they are on the opposite ends of each other when given these sorts of problems. This helps us find y being 32 degrees.
On the other hand, to find x, we just need to focus on the line PQR. it's a line, which means that it is 180 degrees. Since SQP is 32 degrees, SQR, or the angle that is x, should be 180-32, which is 148
Answer:
Y=32, X=148
Step-by-step explanation:
By the opposite angle theorem, 32 must equal Y, so Y = 32.
To solve X:
A straight line has an angle of 180 degrees. Therefore, since 32 + X form a straight line, the angle should equal 180.
Solve.
32+X=180
X=180-32
X=148
find the value of x 125 155
Answer:
125
Step-by-step explanation:
125may be hope its help!
The value of x is 125 degrees from the given diagram
Lines and angleFind the diagram attached
From the diagram, we can see that line l is parallel to line m, hence we can conclude that:
x = 125 degrees (The angles are corresponding angles)
Hence the value of x is 125 degrees from the given diagram
Learn more on line geometry here: https://brainly.com/question/1655368
Helps pleaseee!!
The table below shows the weights of different animals. How much heavier is a hippopotamus than a giraffe?
Answer:
1 Ton is 2000 pounds so multiply that by 4 is 8000 then subtract 2500 from 8000
Answer: 5500lb