Write an equation of the line that passes through (2,-4) and is perpendicular to the line
y = -2x + 5 in slope intercept form
Answers
Answer:
y = (1/2)x - 5
Step-by-step explanation:
The slope of the line y = -2x + 5 is -2. The slope of any straight line perpendicular to this line is therefore the negative reciprocal of -2, which comes out to +1/2.
Using this fact, and the point (2, -4), we write out the slope-intercept form y = mx + b, and substitute the appropriate values:
-4 = (1/2)(2) + b
Then:
-4 = 1 + b, which yields b = -5
Thus, the desired equation is y = (1/2)x - 5
Related Questions
5
2
start fraction, 2, divided by, 5, end fraction of a number is what percentage of that number?
Answers
Answer:
Step-by-step explanation:
2/5=40/100 40 out of 100 is 40%
FIRST TO GET IT RIGHT GETS BRAINLIEST PLSSS HELPPWhat type of function does the equation below represent?
y = -8x
O A. inversely proportional
OB. directly proportional
OC.
not a function
OD
neither directly nor inversely proportional
Answers
Answer:
The type of function the equation represents is "directly proportional" ⇒ B
Step-by-step explanation:
The equation of the directly proportional is y = kx, where k is the constant of proportionality, k is a real number that could be positive or negativeThe equation of the inversely proportional is xy = k or y = [tex]\frac{k}{x}[/tex] , where k is the constant of proportionality, k is a real number that could be positive or negativeLet us solve the question using the rules above
∵ The equation of the function is y = -8x
→ Compare it with the two forms above
∵ The equation is in the form of y = kx, where k = -8
∴ The equation represents directly proportional
∴ The type of function the equation represents is "directly proportional"
6 ft
5 ft
5 ft
4 ft
10 ft
SHAPE 1
SHAPE 2
NAME
Trapezoid
NA
FORMULA
PLUG IN VALUES
xG
Bx
AREA
Answers
In a school with 300 students 18% of the students take violin lessons and 6% of the students take clarinet lessons.
A: find the number of students who take each type lesson.
B: How many more students take violin than take clarinet lessons?
Answers
A) 54 violin students and 6 clarinet students
B) 36 more students
Explanation:
300 students * 0.18 (which is 18%) = 54 students
300 students * 0.06 = 18 students
54-18=36
Hope this helps :)
Plz help its urgent
Answers
Answer:
what I think this question has mistake
Help please. This is due at midnight
Answers
Answer:
Yes, he got the correct quotient
Step-by-step explanation:
1.5 divided by 1/3 is 4.5, and 4.5 is equal to 4 1/2
Answer:
Sage did it right.
your work:
1 1/2 ÷ 1/3
3/2 ÷ 1/3
3/2 × 3/1
9/2
4 1/2
Step-by-step explanation:
first convert 1 1/2 into an improper fraction:
multiply the 2 and 1, you get 2, than add that to the current numerator to get a new one. You get 3/2 as your improper fraction
you now have: 3/2 ÷ 1/3
then turn the division sign into a multiplication sign by flipping the divisor:
you get 3/2 × 3/1
solve this:
multiply the numerators together, you get 9 as a new numerator
multiply your denominators, you get 2 as your new denominator
so now you have 9/2
next turn this into a mixed fraction, you get 4 1/2
so Sage did it right.
10 points
3. What is the slope of the line that passes through the points (2,6) and
(-2,5) ?
O A. undefined
O B. Zero
Oc. 114
OD. -1/4
Answers
Answer:
I think u kept option incorrect but the correct answer is 1/4
What are the answers here?
Answers
Answer:
The slope is 3
The y-intercept is -2
The linear equation is y = 3x - 2
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-interceptThe rule of the slope of a line that passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]∵ A line passes through points (2, 4) and (6, 16)
∴ x1 = 2 and y1 = 4
∴ x2 = 6 and y2 = 16
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{16-4}{6-2}[/tex] = [tex]\frac{12}{4}[/tex] = 3
∴ m = 3
→ Substitute it in the form of the equation above
∴ y = 3x + b
→ To find b substitute x and y in the equation by the coordinates of
a point on the line
∵ Point (2, 4) is on the line
∴ x = 2 and y = 4
∵ 4 = 3(2) + b
∴ 4 = 6 + b
→ Subtract 6 from both sides to find b
∵ 4 - 6 = 6 - 6 + b
∴ -2 = b
→ Substitute its value on the equation above
∵ y = 3x + (-2)
∴ y = 3x - 2
→ Let us answer the questions
The slope is 3
The y-intercept is -2
The linear equation is y = 3x - 2
Work out the value of x.
4X - 57
3x + 25
3x + 15
2x - 3
4x
The diagram is not drawn to scale
Answers
16x - 20 = 540
16x = 560
x = 35
hope this helped
need help with this
Answers
Answer:
ΔABD is an obtuse triangle
Step-by-step explanation:
The type of a triangle according to its angle measures
The acute triangle ⇒ it has 3 acute anglesThe right triangle ⇒ it has 1 right angle and 2 acute anglesThe obtuse triangle ⇒ it has 1 obtuse angle and 2 acute angles0° < acute angle < 90°right angle = 90°90° < obtuse angle < 180°In triangle ABD
∵ m∠ABD = 100°
∵ m∠BAD = 50°
→ The sum of the interior angles of a triangle is 180°
∴ m∠ABD + m∠BAD + m∠BDA = 180°
∴ 100 + 50 + m∠BDA = 180
∴ 150 + m∠BDA = 180
→ Subtract 150 from both sides
∴ m∠BDA = 30°
∵ m∠ABD = 100°
∴ ∠ABD is an obtuse angle
∵ m∠BAD = 50° and m∠BDA = 30°
∴ ∠BAD and ∠BDA are acute angles
∵ ΔABD has 1 obtuse angle and 2 acute angles
∴ ΔABD is an obtuse triangle
Every day, Isabella practices the piano for 0.75 hour and the flute for 1.4 hours. What is the total number of hours that she practiced in April? (Reminder: April has 30 days
Answers
Answer:
She practiced a total of 64.5 hours
Step-by-step explanation:
Here, we need to know the number of hours practiced on both per day
Mathematically, that will be;
0.75 + 1.4 = 2.15 hours per day
So in 30 days ; the total number of hours will be
30 * 2.15 = 64.5 hours
Marcy concludes that the following system of equations has one solution.
y = 3x + 6
y = -2x + 10
Which characteristic of the equations did she use to reach this conclusion?
A. They have different slopes.
B. They have the same two variables.
C. They have y on the same side of the equation.
D. They have the same slope, but different y-intercepts.
Answers
Answer:
A
Step-by-step explanation:
took test on edge
Answer:
A
Step-by-step explanation:
Just took the test
Susan bought 12 ounces of candy. How many pounds did she buy?
Show the proportions needed
Answers
Answer:
If Susan bought 12 ounces that would equal to .75 pounds
Step-by-step explanation:
Six less than the product of 8 and a number is 7?
Answers
Step-by-step explanation:
Let x represent the number.
We have 8x - 6 = 7.
Therefore 8x = 13 and x = 1.625.
Please help me???? Transition math
Answers
V= 6*4*3
V= 72
given that f(x)=2x/3 evaluate f^-1(6)
Answers
Answer:
9
Step-by-step explanation:
we know by definition that
[tex]f^{-1}(f(x))=x\\\\f^{-1}(\frac{2x}{3})=x\\\\f^{-1}(x)=ax\\\\f^{-1}(\frac{2x}{3})=a(\frac{2x}{3})=x\\\\f^{-1}(x)=\frac{3x}{2}[/tex]
so now we evaluate
[tex]f^{-1}(6)=\frac{3*6}{2}\\\\=3*3\\\\f^{-1}(6)=9[/tex]
and if we want to do an extra step
[tex]f^{-1}(f(6))=6\\\\f^{-1}(\frac{2*6}{3})=f^{-1}(4)=\frac{3*4}{2}=6[/tex]
which works.
8.
Last week, Janet used 4 cups of flour to make pizza dough. This week, she uses 3/8
the amount of flour as last week. Which statement is true about the amount of
flour Janet uses this week?
Janet uses more than 4 cups of flour because 4 is greater than 1.
Janet uses more than 4 cups of flour because 4 is greater than 3/8.
Janet uses less than 4 cups of flour because is less than 1.
Janet uses less than 4 cups of flour because is less than 4.
As
Answers
Answer:
Janet uses less than 4 cups of flour because is less than 4.
Step-by-step explanation:
She is using 3/8 of 4 so less than. Then you use 4 not 1 because there is 4 cups.
Answer:
She uses less than four cups because 3/8 (1.5) is less than 4.
Step-by-step explanation:
4 Tan A/1-Tan^4=Tan2A + Sin2A
Answers
tan(2A) + sin(2A) = sin(2A)/cos(2A) + sin(2A)
• rewrite tan = sin/cos
… = 1/cos(2A) (sin(2A) + sin(2A) cos(2A))
• expand the functions of 2A using the double angle identities
… = 2/(2 cos²(A) - 1) (sin(A) cos(A) + sin(A) cos(A) (cos²(A) - sin²(A)))
• factor out sin(A) cos(A)
… = 2 sin(A) cos(A)/(2 cos²(A) - 1) (1 + cos²(A) - sin²(A))
• simplify the last factor using the Pythagorean identity, 1 - sin²(A) = cos²(A)
… = 2 sin(A) cos(A)/(2 cos²(A) - 1) (2 cos²(A))
• rearrange terms in the product
… = 2 sin(A) cos(A) (2 cos²(A))/(2 cos²(A) - 1)
• combine the factors of 2 in the numerator to get 4, and divide through the rightmost product by cos²(A)
… = 4 sin(A) cos(A) / (2 - 1/cos²(A))
• rewrite cos = 1/sec, i.e. sec = 1/cos
… = 4 sin(A) cos(A) / (2 - sec²(A))
• divide through again by cos²(A)
… = (4 sin(A)/cos(A)) / (2/cos²(A) - sec²(A)/cos²(A))
• rewrite sin/cos = tan and 1/cos = sec
… = 4 tan(A) / (2 sec²(A) - sec⁴(A))
• factor out sec²(A) in the denominator
… = 4 tan(A) / (sec²(A) (2 - sec²(A)))
• rewrite using the Pythagorean identity, sec²(A) = 1 + tan²(A)
… = 4 tan(A) / ((1 + tan²(A)) (2 - (1 + tan²(A))))
• simplify
… = 4 tan(A) / ((1 + tan²(A)) (1 - tan²(A)))
• condense the denominator as the difference of squares
… = 4 tan(A) / (1 - tan⁴(A))
(Note that some of these steps are optional or can be done simultaneously)
Please Help!!! Find the slope of the line that passes through (63, 77) and (-10, -2).
Answers
Answer:
y=79/73x+644/73
theres the equation, enjoy <3
can someone help with me this pls
Answers
Answer:
a) The class interval containing the median is the interval 2 ≤ h < 3
b) The mean number of hours the children spent on their tablets is 2.2 hours.
Step-by-step explanation:
a) The given parameters are;
The number of students that spent 0 ≤ h < 1 hour = 4
The number of students that spent 1 ≤ h < 2 hours = 8
The number of students that spent 2 ≤ h < 3 hours = 11
The number of students that spent 3 ≤ h < 4 hours = 7
The median is given by the location of the 15th child which is located in the interval given as follows;
We note that the total number of children is obtained by adding the frequencies of the intervals together, as follows;
The number of children = 4 + 8 + 11 + 7 = 30
The frequency of the first interval = 4
The sum of the first + Second intervals = 4 + 8 = 12
The sum of the first + Second + Third intervals = 4 + 8 + 11 = 23
Therefore, the class interval containing the median is the interval 2 ≤ h < 3
b) We use the midpoint of each class interval to find the mean as follows;
The mean = ∑fh/∑h
∴ The mean = (4 × 0.5 + 8 × 1.5 + 11 × 2.5 + 7 × 3.5)/(4 + 8 + 11 + 7) = 2.2
The mean number of hours the children spent on their tablets = 2.2 hours.
A^n =16 + (N - 1) (-0.5), 15th term
Find the indicated term of the arithmetic sequence.
Answers
Answer:
9
Step-by-step explanation:
we just replace n with 15
A(n) =16 + (N - 1) (-0.5)
=16 + (15 - 1) (-0.5)
=16-7.5+0.5
=9
hope it helps
Write an equation of the line in slope-intercept form.
f(0)=9, f(2)=4
Answers
Answer:
f(x)=-[tex]\frac{5}{2}\\[/tex]x+9
Step-by-step explanation:
Use the slope formula and slope intercept formula form y=mx + b to find the equation
The cost of 2.5 pounds of cheese is $5.60. Mrs. Peterson bought 9 pounds of cheese for her deli. How much money did Mrs. Peterson spend?
Answers
John has $10 in his bank account when he gets a job. He begins making $120 a day. A student found that
the equation that represents this situation is y = 10x + 120.
What is wrong with the student's equation? Complete the explanation and correct the student's error.
Answers
Answer:
The answer is switched.
Step-by-step explanation:
Given that John's bank account is $10 which is a constant (fixed) amount and he make $120 per day.
In the equation, x act as number of days so if you wants to find how much he earn after few days, you have to multiply $120 with the number of days.
The correct equation will be y = 120x + 10, 120 is the slope value and 10 is the y-intercept.
A linear function is a function in which the dependent variable changes at a constant rate relative to the independent variable. Based on this assumption, determine whether each relationship below can be modeled by a linear function. Select Yes or No for each situation. Yes No The total number of tires, T, on c cars. C The cost, C. in dollars, of p pounds of tangerines 0 O The temperature, F, after m minutes of a pie taken out of the oven. The value, V, in dollars, of a bank account eaming compound interest after t years. OO
Answers
yes
no
no
yes
hope it help!!!
Yes, no, no, yes I believe
Clue: I am 0.02 units away from -3.8. Where am I?
Answers
Answer:
-3.82
Step-by-step explanation:
You are going up the line of negative numbers so you have to add o.o2 to 3.8 (3.80).
In the figure below, find the angle measures
Answers
That’s the set up
Let me know if you need more help
PLZ HELP!
Ramon earns $1,820 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Answers
Step-by-step explanation:
2.6% b/c 1820×2.6/100
trina wrote forty- five and sixty five thousandths as 45.65. is her answer correct or error if so what is the error explain
Answers
Answer: 45.65 is incorrect.
Step-by-step explanation: it’s a place value problem; right of the decimal is ones, tens, hundredths, thousandths which is 4 place values so 45.065 shows the correct placement
Juan rides his bike 97 miles to and from school each month.
Part A
How can you use compensation to find the number of miles he rode in 6 months?
Answers
Answer:
1164 are the total number of miles he rode in 6 months.
Step-by-step explanation:
Given that Juan rides his bike 97 miles to and from school each month.It means:
The miles to go to school = 97 milesThe miles to come back from the school = 97 milesThus,
Total miles in one month = 97 + 97 = 194 milesThus, the number of miles he rode in 6 months would be = 194×6 = 1164 miles
Therefore, 1164 are the total number of miles he rode in 6 months.