Use DESMOS: What is the equation
that represents a line that is
perpendicular to the graphed line and
passes through the point (-6, 6)?
Answers
y=mx+c
I picked the points (0, -4) and (-2,-10) to find the gradient of the line
M= rise/run
= 6/2
=3
Y-intercept is at - 4
Y= 3x - 4 is equation of the line given
Reciprocal of 3 is 1/3
(m1 x m2 = - 1)
So, to make - 1, our second gradient should be negative.
Gradient of the perpendicular line will be - 1/3
Y= - 1/3x + c
Substitute value of x & y into the equation
(-6,6) means x = - 6, y = 6
y = - 1/3x +c
6 = - 1/3 x - 6 + c
6 = 2 + c
-2
4 = c
Thus, final equation we're after will be:
y= - 1/3x + 4
Hope this helps!
Related Questions
Which
equation represents a line that passes through (-2, 4) and has a slope of 2/5?
Answers
Answer:y - 4 = 2/5(x + 2)
Step-by-step explanation:
Mark me brainliest
Translate the sentence into an inequality.
The difference of twice a number and 3 greater than or equal to 19.
Use the variable c for the unknown number.
Answers
Answer:
2c - 3 >= 19
Step-by-step explanation:
Solving it:
2c >= 22
c >= 11
What is the surface area of a sphere with a radius of 12 units?
•
A. 1447 units-
•
B. 576 units-
C. 5767 units?
288gL unitsz
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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the volume of a sphere with a radius of 12 units?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
[tex]\sf{Formula \ for \ Volume \ of \ a \ sphere \ :[/tex] [tex]\bigstar\boxed{\bold{V=\displaystyle\frac{4}{3} \pi r^3}}[/tex]
Where
[tex]\tt{V=Volume}\\\tt{\pi =pi}\\\tt{r=radius}[/tex]
Provided Information:-
[tex]\tt{r=12\:units}[/tex]
Plug in:-
[tex]\bold{V=\displaystyle\frac{4}{3} \pi (12)^3}[/tex]
[tex]\bold{V=\displaystyle\frac{4}{3} \pi (1,728)}[/tex]
On further simplification,
[tex]\dashrightarrow\boxed{\boxed{\underline{\bold{V=2304\pi\:m^3}}}}\dashleftarrow[/tex]
Good luck.-- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - -
Y is between points J and A. JA=17 and YA=3.
What is JY?
Enter your answer in the box.
JY =
Answers
Answer: the answer is 14
Step-by-step explanation: i hope this helps :)
The value of JY is 14
How to calculate the value of JY?According to the problem,
Y is between points J and A.
JA=17 and YA=3∴ JY = ( JA - YA) = (17 - 3) = 14
∴ JY = 14
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what is the slope for this graph?
Answers
Answer:
the slope is 1
Step-by-step explanation:
you could just leave it as x in the equation
equation if needed:
y=x-1
Which of the points shown below are on the line given by the equation y = 2x? Check all that apply.
Answers
Answer:
B
Step-by-step explanation:
Please help me with this .
Answers
Answer:
with what
Step-by-step explanation:
can you please post the picture
look at the picture to see how to add a pic to a question
Please help with this question. 100 points!! I know it is a little long but I could really use the help.
The owners of the resort want to expand and build a row of condos at the western base of the mountain. Because of the amount of snow, the area gets most winters, it is important to have the pitch (steepness) of the roof of each condo at least 60°. To make the condos appealing to skiers and boarders, they want to model the condos after their cabins, but on a larger scale. The cabins have an A-line roof that forms an isosceles triangle as shown, with the base angles at 65° . The base length is 6m. Note: the slant height is the length of the side of the roof. (Picture Below)
Answers
Required Formula
[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]
Part A
Given: base length: 6m, half base: 3m, angle: 65°, let hypotenuse: h
Hence solve,
[tex]\rightarrow \sf cos(x) = \dfrac{a}{h}[/tex]
[tex]\rightarrow \sf cos(65) = \dfrac{3}{h}[/tex]
[tex]\rightarrow \sf h = \dfrac{3}{cos(65)}[/tex]
[tex]\rightarrow \sf h =7.0986\ \approx \ 7.1 \ m[/tex]
The slant height is 7.1 meters when base length is 6 meter.
Part B
Given: base length: 9.6m, half base: 4.8m, angle: 65°, let hypotenuse: n
Hence solve,
[tex]\rightarrow \sf cos (x) = \dfrac{a}{n}[/tex]
[tex]\rightarrow \sf cos (65) = \dfrac{4.8}{n}[/tex]
[tex]\rightarrow \sf n = \dfrac{4.8}{cos (65)}[/tex]
[tex]\rightarrow \sf n = 11.357 \ \approx \ 11.4 \ m[/tex]
The slant height is 11.4 meters when base length is 9.6 meter.
Answer:
A) 7.1 m
B) 11.4 m
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Part AThe slant height of the roof is the hypotenuse of a right triangle.
Considering the information given, use the cos trig ratio to determine the slant height.
A roof's base length is the distance from one corner of the roof to the other. Therefore, the base length of the given right triangle is half the roof base length.
Given:
[tex]\theta[/tex] = 65°A = Half of roof base length = 6 ÷ 2 = 3 mH = Slant heightSubstituting the given values into the formula and solving for H:
[tex]\sf \implies\cos(\theta)=\dfrac{A}{H}[/tex]
[tex]\sf \implies\cos(65^{\circ})=\dfrac{3}{H}[/tex]
[tex]\sf \implies H =\dfrac{3}{\cos(65^{\circ})}[/tex]
[tex]\implies \sf H=7.1 \: m \: (nearest\:tenth)[/tex]
Part BThe slant height of the roof is the hypotenuse of a right triangle.
Considering the information given, use the cos trig ratio to determine the slant height.
A roof's base length is the distance from one corner of the roof to the other. Therefore, the base length of the given right triangle is half the roof base length.
Given:
[tex]\theta[/tex] = 65°A = Half of roof base length = 9.6 ÷ 2 = 4.8 mH = Slant heightSubstituting the given values into the formula and solving for H:
[tex]\sf \implies\cos(\theta)=\dfrac{A}{H}[/tex]
[tex]\sf \implies\cos(65^{\circ})=\dfrac{4.8}{H}[/tex]
[tex]\sf \implies H =\dfrac{4.8}{\cos(65^{\circ})}[/tex]
[tex]\implies \sf H=11.4 \: m \: (nearest\:tenth)[/tex]
need help with all of these questions you see on the top. there the red squares. please someone smart ( dose not show rn ). this is one of the problems I need to finish this tonight.
Answers
Answer:
402.1 in^3
Step-by-step explanation:
To find the area of a cylinder, you multiply the base by the height. Given a base area of [tex]32\pi[/tex] in^2 and a height of 4 in results in the following equation:
V = 32π x 4
This comes out to be 402.123859659 which is 402.1 when rounded to the nearest tenth.
Write and solve an addition or subtraction equation to find the missing angle measure
Answers
Answer:
90°
Step-by-step explanation:
The three angles : 45°, n°, and 45° will form a line.
A property of a line is that it creates a 180° angle.
⇒ 45 + n + 45 = 180⇒ n + 90 = 180⇒ n = 90°g5 ⦁ g2 is equal to g25
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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Is g⁵•g² equal to g²⁵?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
No, the expression is not equal to g²⁵.
Reason:-
If we multiply two numbers with the same base, we add their exponents.
So we add 5+2:
g⁽⁵⁺²⁾=g⁷
Good luck.- - - - - - -- - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - -- - - - - - - - - -
Hello! Please answer these questions, it's for a maths assignment, thank you.
1. What is your average daily screen time?
2. How much sleep do you get on a daily basis?
Answers
Answer:
bro I'm so confused is this a trick ?
NEED ASAP: Carlos builds a robot that moves on small wheels. Each wheel has six 5-inch-long metal spokes that meet in the center. What is the area of the sector between these spokes? Express your answer as a simplified fraction in terms of \piπ.
Answers
Answer:
27π/8 inches²
Step-by-step explanation:
= πr² × [3π/(4 × 2π)]
= π(3)² × 3π/8π
= 27π/8 inches²
please help, will mark brainliest!!!
Answers
Answer:
$ 3513. 63
Step-by-step explanation:
Plug in the numbers :
3200 * e ^(.017 * 5.5) = 3513.63
what is the area of this right triangle
136
200
280
283
PLS HELP ILL MARK BRAINLEST
Answers
Brainliest please
Answer:
B: 200 is the correct answer for your question.
Step-by-step explanation:
This was the question in my k12 semester test. Which i have done and B is the correct one.
A city’s bus line is used more as the urban population density increases. The more people in an area, the more likely bus lines will be utilized. The population of Belmont, MA, is 24,729 and covers an area of 4.66 mi2. The population of Easton, MA, is 23,112 and covers an area of 28.4 mi2. Which city’s residents are more likely to use public buses? Explain.
The residents of Belmont are more likely to use public transportation because the city has the highest population density.
The residents of Easton are more likely to use public transportation because the city has the highest population density.
The residents of both cities will not use the bus line because the population density is too high.
The residents of both cities are equally likely to use public transportation because the population densities are equal.
Answers
Answer with explanation:
it is given that city's bus line is used more as the urban population density increases.
Population density is defined as ,total population per unit Area.
→Population Density of Belmont
[tex]=\frac{24729}{4.66}[/tex]
[tex]=5306.65[/tex]
In 1 Square mile,of Belmont approximately 5307 people Resides.
→Population Density of Easton
[tex]=\frac{23112}{28.4}[/tex]
[tex]=813.80[/tex]
In 1 Square mile,of Easton Approximately 813 people Resides.
From Above two,we conclude that
→Population Density of Belmont > Population Density of Easton
Option A: The residents of Belmont are more likely to use public transportation because the city has the highest population density.
What is the measure of
Answers
Answer:
about 54
Step-by-step explanation:
due to the fact that it is just about a reflection but the thing is that it must be around 90, but it really depends on the angle you measure it at.
50 Points: Name the similar triangles & Prove the similarity with details
Answers
Let's consider the facts at hand:
By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF∠BEC = ∠DFCSides BE = DFBased on the diagram, triangles BCE and triangles DCF are similar
⇒ based on the Angle-Angle theorem
⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC
⇒ the two triangles are similar
Hope that helps!
Definitions of Theorem I used:
Vertical Angle Theorem: opposite angles of two intersecting lines must be equalAngle-Angle Theorem: if two angles of both triangles are equal, then the given triangles must be similar
Is the following statement true or false?
The intersection of three planes can be a ray.
Answers
The statement which says "The intersection of three planes can be a ray." is; True
How to define planes in math's?In terms of line segments, the intersection of a plane and a ray can be a line segment.
Now, for the given question which states that the intersection of three planes can be a ray. This statement is true because it meets the definition of plane intersection.
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Answer:
False
Step-by-step explanation:
Saw a one star rating on the other answer, so I put false as my answer and got it correct.
solve 11 ≤ w + 3.4 i dont know the answer please help me
Answers
Answer:
7.6 ≤w
Step-by-step explanation:
Hey there!
In order to solve this inequality, you need to simplify the inequality like the following:
Subtract 3.4 from both sides
7.6 ≤w
This means that w is greater than or equal to 7.6
A $6 prize was offered at the end
of each hour of cookie sale to the person who sold the most cookies. If there
was more than one winner, the winners shared the prize.
After the first hour, 2 people were tied and split the prize.
• At the end of the second hour, each winner received $1 less than
the winners of the first hour.
How many winners were there at the end of the second hour?
Answers
Using proportions, it is found that there were 3 winners at the end of the second hour.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
After the first hour, 2 people were tied and split the prize, hence they received $6/2 = $3.
After the second hour, the winners received $2, hence the number of winners is given by:
n = $6/$2 = 3.
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The final scores from the last five games of two basketball teams are given. Jumping Jackrabbits: 70, 65, 72, 80, 73 Leaping Lizards: 61, 47, 70, 63, 54
(a) Determine the MAD of each data set. In your work, show the mean and the absolute deviation of each data value in each set.
(b) Compare and interpret the MADs in context of the situation.
Answers
Using the Mean Absolute Deviation(MAD) concept, it is found that:
a) The Jumping Jackrabbits have a MAD of 3.6 and the Leaping Lizards of 6.8.
b) The MAD is lower for the Jumping Jackrabbits then for the Leaping Lizards, hence their scores are more consistent.
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.Item a:
For the Jumping Jackrabbits, the mean and MAD are given by:
M = (70 + 65 + 72 + 80 + 73)/5 = 72
MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.
For the Leaping Lizards, the mean and the MAD are given by:
M = (61 + 47 + 70 + 63 + 54)/5 = 59
MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.
The Jumping Jackrabbits have a MAD of 3.6 and the Leaping Lizards of 6.8.
Item b:
The MAD is lower for the Jumping Jackrabbits then for the Leaping Lizards, hence their scores are more consistent.
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A parabola has a vertex of (3, 6) and passes through the point (1, 42).
we can model the parabola using a function in the form of f(x) = a(x - h)2 + k, where a, h,
and k represent real numbers.
find the value for a.
Answers
The value of the constant a for the parabola will be equal to a=9
What is a parabola?The parabola is an open curve, and a conic section which is produced by the intersection of a right circular cone and a plane parallel to an element of the cone.
Here we have the equation of the parabola:-
f(x)a(x-h)²+k
Since a parabola has a vertex of (3, 6) and passes through the point (1, 42).
By putting the values in the equation we can find the value of a;-
(42)=a(1-3)²+6
4a=42-6
a=36/4
a=9
Hence the value of the constant a for the parabola will be equal to a=9
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The area of a circle is 9π in². What is the circumference, in inches? Express your answer in terms of \piπ
Answers
Answer:
[tex]6\pi[/tex] in
Step-by-step explanation:
The formula to find the area of a circle: [tex]\pi r^{2}[/tex], where [tex]r[/tex] is the radius.
The formula to find the circumference (perimeter) of a circle: [tex]2\pi r[/tex], where [tex]r[/tex] is the radius.
1) To find the circumference of the circle, we need to find the radius ([tex]r[/tex]) first. Since the area of the circle is given to us, we need to equate this to the formula to find the area of a circle.
[tex]9\pi =\pi r^2[/tex]
Cancel the [tex]\pi[/tex] by bringing it to the other side.
[tex]9 =\pi r^2[/tex] ÷ [tex]\pi[/tex]
[tex]9 = r^2\\\sqrt{9} = r\\3 = r[/tex]
2) Find the circumference of the circle by using the formula, [tex]2\pi r[/tex].
= [tex]2*\pi *3[/tex]
= [tex]6\pi[/tex] in
What is the 83rd term of the sequence 91, 87, 83, 79, ... ( = a1, a2, a3, a4, ...)?
Answers
Answer:
Common difference: tₙ = (95x - 4)
Question: How do we find the 83rd term?
Step-by-step explanation:
[tex]t_n = (95x-4)\\83 * 4 = 332\\95x - 332 = -237x\\-237x = -237\\-237[/tex]
Therefore, the answer is -237
What makes up the sides of polyhedra?
A. squares
B. rays
C. polygons
D. cubes
Answers
C. polygons!!
the polygons it is made of are called faces. the edges of the faces are called the edges of the polyhedron
if 2a+3b=12 and a-3b=0, then what is the value of a?
Answers
Answer:
a=4
Step-by-step explanation:
2a+3b=12
+
a-3b=0
3a=12
a=4
Can someone solve this venn diagram for x please. Giving brainiliest
Answers
Answer:
x = 38
Step-by-step explanation:
Intersection is occupied by xremaining part of set A = 149 - xremaining part of set B = 160 - xNow,
(149 - x) + (x) + (160 - x) + (2x + 3) = 350149 - x + x + 160 - x + 2x + 3 = 350312 + x = 350x = 350 - 312x = 38In a multiple-choice test, there are 10 questions. Each question has 4 choices, one of which is correct. Tom, who knows nothing about the subject, guesses each answer at random. Let X be the number of questions that Tom has actually guessed correctly. Find the mean and standard deviation of the X-distribution.
Answers
Answer:
B
Step-by-step explanation:
To rent a certain meeting room, a college charges a reservation fee of $49 and an additional fee of $5.40 per hour. The chemistry club wants to spend less than $86.80 on renting the meeting room.
Answers
Answer:
The maximum amount of money the chemistry club can spend without going over their buget is $81.4 ... With a total of 6 hours their allowed to use the room for.
Step-by-step explanation:
$49 is our constant and will not change. 5.40 however will. Let's use variable h for the amount hours they can rent the room for. Now we can make an inequality;
49+ 5.40h < 86.80
5.40h < 86.80
5.4h< 37.8
h< 7
Now that we know h will have to be less than seven for the chemistry club to spend less than their buget we can find that 6 is the maxium amount of hours they can spend in the room while staying within their budget.
(This answer does not consider decimals or half hours)