Answer:
y=-2/7x+6
Step-by-step explanation:
first write this in y=mx+b format, y=7/2x−2
then write the perpendicular line, which is the opposite & negative of m
y=−2/7x-2
then remove b
y=−2/7x+b
plug in the numbers
(7,4) y= 4 x=7
4=-2/7*7+b
b is 6
so put the numbers back in
y=-2/7x+6
hope this helps and have a great day
What is the distance between the points (−3, −5) and (−3, −7)?
The distance between the points (−3, −5) and (−3, −7) is 2 units.
How to use distance formula?The distance formula gives the shortest distance between two points in a two-dimensional plane.
The distance formula is a useful tool for calculating the distance between two points.
Therefore,
d = √(x₂ - x₁)²+(y₂ - y₁)²
Let's find the distance between the points (−3, −5) and (−3, −7).
Hence,
x₁ = -3
x₂ = -3
y₁ = -5
y₂ = -7
d = √(-3 + 3)² + (-7 + 5)²
d = √(-2)²
d = √4
d = 2
Therefore, the distance between the point is 2 units.
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To celebrate the holiday season this year, the Gaylord Texan has created an extreme eight-lane, tubing hill
with real snow called the "Kung Fu Panda Awesome SNOW Tubing Ride." The cost of each ticket for one day
is $21. This can be modeled by the function f(x) = 21x. The number of tickets purchased by groups is given
by the domain (4, 6, 103. which would be a reasonable range for the total cost of the tickets the groups
would pay?
The reasonable range for the total cost of the tickets the groups
would pay is {84, 126, 2163}.
What is Domain and Range?The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation.
A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values.
Given:
The Function modeled for the situation is
f(x) = 21 x where x is the number of tickets sold.
So, For x= 4 Tickets
Fare, F(x) = 21 x 4= $84
and, For x= 6 Tickets
Fare, F(x) = 21 x 6 = $126
and, For x= 103 Tickets
Fare, F(x) = 21 x 103 = $2163.
Hence, the range is {84, 126, 2163}.
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Evaluate
Algebraic
Expressions
A large waffle cone costs $2.06 dollars more than a
sugar cone. The sugar cone is 1.56.
What is the cost of the waffle cone?
Answer:
The waffle cone is $3.62.
First, say what your variables are.
w = large waffle cone
s = sugar cone
Next, create two equations given the data in the word problem.
\(2.06 + s = w\)
\(s = 1.56\)
Because you have what the sugar cone is valued at, replace the s in the first equation with 1.56 and solve.
\(2.06 + (1.56) = w\)
\(w = 3.62\)
Write the six trig functions for the following
SOH CAH TOA
Please and thank you
The six trig functions are:
(1) Figure 1, sin θ = 1/√5
(2) Figure 1, cos θ = 2/√5
(3) Figure 1, tan θ = 1/2
(4) Figure 2, sin θ = 3/√13
(5) Figure 2, cos θ = 2/√13
(6) Figure 2, tan θ = 3/2
What is a trig function?Trig function (short for "trigonometric function") is a mathematical function that relates the angles of a right triangle to the lengths of its sides. The main trig functions are sine (sin), cosine (cos), and tangent (tan).
The trig functions are abbreviated using SOH CAH TOA.
SOH : sin θ = opposite / hypotheses
CAH: cos θ = adjacent / hypothenuse
TOA : tan θ = opposite / adjacent
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Which choice correctly shows rounding to the hundredths place?
4.234 + 4.752 + 7.99 right-arrow 4.2 + 4.8 + 8.0
3.825 + 4.792 + 3.0805 right-arrow 3.82 + 4.79 + 3.82
3.824 + 4.765 + 1.732 right-arrow 3.81 + 4.77 + 3.80
3.8765 + 4.824 + 1.733 right-arrow 3.88 + 4.82 + 1.73
Answer:
the last one:))))
Step-by-step explanation:
trust me
A shampoo company conducted a survey and found that 3 out of 8 people use their brand of shampoo. Which proportion could be used to
find the expected number of users n in a city of 75,000 people?
75.000
Answer:yes
Step-by-step explanation:yes
Answer:
3/8 = x/75,000
Step-by-step explanation:
We are looking for x, the number of people in a city of 75,000 that use the shampoo.
3 is to 8 as x is to 75,000
3/8 = x/75,000
You invest 1,000 in one account and 4,000 in another, both accounts have the same interest rate over the same amount of time. How will the interest earned compare?
Answer:
the $4000 WILL EARN 4 TIMES THE AMOUNT OF INTEREST.
Step-by-step explanation:
If both investments have same interest they will grow in the same proportion that the initial amount have.
Help pls urgent!!!!!!!!!!
Answer:
d
Step-by-step explanation:
I need help I need the answers
The distance to cover on the next training day is 29/36 mile
Sarah trained longer by 1/4 miles
The distance to cover on the next training dayFrom the question, we have the following parameters that can be used in our computation:
Total distance = 7 1/4 miles
Days = 9
So, we have
Distance = (7 1/4)/9
Evaluate
Distance = 29/36
Who trained longer and by how muchHere, we have
The dot plot
The total distance here is
Total = 1/4 * 2 + 1/2 * 1 + 1 * 5
Total = 6
7 1/4 miles is greater than 6 miles, by 1/4 miles
Hence, Sarah trained longer
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A farmer is packing 2,205 pounds of potatoes into boxes.
Each box can hold 49 pounds. How many boxes can the
farmer fill?
Answer:
The farmer can fill 45 boxes.
Step-by-step explanation:
To find this, we must divide the pounds of potatos by how much each box can hold.
2205/49 = 45
Answer:
45 boxes can be filled
Step-by-step explanation:
\(2205/49=45\)
The difference between five times a number and eight more than two times the number.
Step-by-step explanation:
The difference between five times a number and eight more than two times the number.
solution :
let the number = n
=>
5n - (8 + 2n)
please help me so love this problem?
Answer:
12.7 ==> distance of RS
24.2 ==> distance of RT
Step-by-step explanation:
Distance is always positive. So if you get a negative value, take the absolute value of the negative number:
For example, between point R and S:
-17.2 - (-4.5) =
-17.2 + 4.5 = ==> subtracting a negative number is equivalent to adding a
positive number
-(17.2 - 4.5) = -12.7
-12.7 ==> |-12.7| = 12.7 ==> distance of RS
For RT:
-17.2 - 7 =
-(17.2 + 7) = -24.2
-24.2 ==> |-24.2| = 24.2 ==> distance of RT
The ratio of boys and girls in the school musical is 5 to 8.Which of the following shows the possible numbers of boys and girls in the school musical.
The coordinates of the midpoints of the four sides of a square are S(-4,11), Q(2,5), U(-4,-1), A (-10,5)
The perimeter and area of the square are; 24√2 units and 12 units² respectively
Given the coordinates of the midpoints of the four sides of a square are S(-4,11), Q(2,5), U(-4,-1), A (-10,5)
But since we have the midpoints of all the sides, we can assume they're equidistant from one another since the figure is a square.
SQ = √(x₂ - x₁)² + (y₂ - y₁)²
SQ = √(2 - (-4)² + (5 - 11)²
SQ = 6√2
Let's find QU
QU = √(-4 - 2)² + (-1 - 5)²
QU = 6√2
Let's find UA ;
UA = √(-10 - (-4))² - (5 - (-1)²
UA = 6√2
And the distance AS = 6√2
The perimeter of the square = 4 (6√2)
Perimeter = 24√2 units
The area of the square = l²
Area of the square = (6√2)²
Area of square = 12 units²
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15 POINTS
Using Pythagoras' theorem, calculate the length
of XY.
Give your answer in centimetres (cm) to 1 d.p.
Answer:
13.27 cm
Step-by-step explanation:
I am using (xy) to mean the length of the side xy
7^2 + (xy)^2 = 15^2
49 + (xy)^2 = 225
(xy)^2 = 225-49
(xy)^2 = 176
Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
simplify the fraction completly
75/100
A die is rolled. If it rolls to a 1, 2, or 3 you win $2. If it rolls to a 4, 5, or 6 you lose $1. Find the expected winnings.
a) $0.50
b) $3.00
c) $1.50
d) $1.00
Answer:
A. $0.5
Step-by-step explanation:
In this question half of the time your winning is 2 dollars and also the other half of the time your loss is one dollar
The expectation is that after you must have had 2 rolls you would get 2 dollars once and also you are going to lose 1 dollar once. So what you won overall would be 1 dollar.
So the correct answer would be gotten from $1/2rolls
= $0.50
I want you to find the answer
The value of length BC is 18.9
What is cosine rule?Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
Therefore,
c² = a² + b² - 2abcosC
To find the length BC we use cosine rule.
c² = 13² + 7² - 2(13)(7)cos140
c² = 218 - 182cos140
c² = 218-(-139.42)
c² = 218+139.2
c² = 357.2
c = √357.2
c = 18.9
Therefore, the length of BC is 18.9
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In the triangle, the value of the side BC is 18.9cm to 1 decimal place
How to determine BC?The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
The cosine formula states that
c² = a² + b² - 2abcosC
To find the length BC we use cosine rule.
c² = 13² + 7² - 2(13)(7)cos140
c² = 218 - 182cos140
c² = 218-(-139.42)
c² = 218+139.2
c² = 357.2
c = √357.2
c = 18.9
In conclusion, the value of the length of BC is 18.9cm
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What is the solution to the equation x - 4.8 = 24?x = 28.8x = 2x = 19.2x = 0.2
Solution
What is the solution to the equation x - 4.8 = 24:
\(undefined\)Therefore the correct answer = 28.8
Hence the answer is Option A
Find the volume of a cone with a base diameter of 12cm and a height of 12cm
Answer: 1809.6
Step-by-step explanation: I got to be honest is looked up the cone calculator and I tried 3 three and they all go me 1809.6 (rounded)
Expresa la razón en su forma más simple:
21 a 98
Answer:
3 a 14
Step-by-step explanation:
21 a 98
dividir ambos por 7
3 a 14
A forest contains 20 elks, of which 5 are captured, tagged, and then released. A certain time later 4 of the 20 elks are captured. What is the probability that 2 of these 4 have been tagged?
Answer:
Step-by-step explanation:
P{2 of 4 tagged}=(52)(152)(204)
=0.2167
math ;-; i hate it so much but please help me
Aw I'm in grade 8, but I could've helped you..
Answer:
mode
Step-by-step explanation:
me too
Help 20 points (show your work)
The measure of angle ADC in the geometric system is equal to 55°.
How to determine the value of an angle related to a geometric system
In this question we find a geometric system formed by a quadrilateral and an angle vertical to a vertex of the quadrilateral. Angle CDE is supplementary to angles EDF and ADC. Two angles are supplementary whose sum of measures equals 180°. Therefore:
m ∠ CDE + m ∠ EDF = 180°
(2 · x + 1) + (x - 7) = 180°
3 · x - 6 = 180°
3 · x = 186°
x = 62
m ∠ CDE = 2 · x + 1
m ∠ CDE = 2 · 62 + 1
m ∠ CDE = 125°
m ∠ ADC = 180° - 125°
m ∠ ADC = 55°
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Ik its alot but Help
What is the domain of y = log Subscript 4 Baseline (x + 3)?
Answer:
All real numbers greater than -3
Step-by-step explanation:
The domain of a log is the baseline is greater than 0.
Set x + 3 greater than zero and solve
x + 3 > 0
x > -3
A solution set always includes
A
all the numbers that make the inequality false.
B
all the numbers that make the inequality true.
zero and infinity.
D
negative infinity
Answer:
B, all the numbers make the inequality true:).
Step-by-step explanation:
Pleaseee help me
For each value of v, determine whether it is a solution to -17>2v+1.
Answer:
No, No, Yes, No
Step-by-step explanation:
v = 2
-17 > 2(2) + 1 = -17 > 5
v = -9
-17 > 2(-9) + 1 = -17 > -17
v = -10
-17 > 2(-10) + 1 = -17 > -19
v = -4
-17 > 2(-4) + 1 = -17 > -7
Solve the following equation for x 9x - 18 = 81
Answer:
x= 11
Step-by-step explanation:
or, 9x-18=81
or, 9x=81+18
or, 9x=99
or, x=99/9
or, x=11
Answer:
x=11
Step-by-step explanation:
9x−18=81
Step 1: Add 18 to both sides.
9x−18+18=81+18
9x=99
Step 2: Divide both sides by 9.
9x/9 = 99/9
Answer: x=11