Answers
Answer:
The equation in point-slope is [tex]\mathbf{y+5=3(x-6)}[/tex]
Step-by-step explanation:
We need to write the point-slope form of the equation of the line passing through the point (6,-5) and perpendicular to the line [tex]y=-\frac{1}{3}x+4[/tex]
The general form of point-slope is; [tex]y-y_1=m(x-x_1)[/tex]
where m is slope and [tex](x_1,y_1)[/tex] is the point
We need to calculate slope.
We are given equation of line [tex]y=-\frac{1}{3}x+4[/tex] that is perpendicular to the required line.
The equation is given in slope-intercept form [tex]y=mx+b[/tex] where m is slope.
Comparing both equations we get m= -1/3
But we know that when lines are perpendicular their slopes are opposite reciprocal of each other i.e [tex]m=-\frac{1}{m}[/tex]
So, slope of required line is m = 3 (opposite reciprocal of -1/3)
Now, the equation in point-slope form having slope m=3 and point (6,-5) is
[tex]y-y_1=m(x-x_1)\\y-(-5)=3(x-6)\\y+5=3(x-6)[/tex]
So, The equation in point-slope is [tex]\mathbf{y+5=3(x-6)}[/tex]
Related Questions
A function is shown on the coordinate plane below. 3 2 1 -4-3 -2 -1 3 4 N -2 -3 Over which intervalls) is the function increasing? Select all that apply. 0
Answers
Answer:
0 < x < 2
2 < x < 3
-1 < x < 0
Step-by-step explanation:
I would have to say those ones.
Hope this helps.
Answer:
0 < x < 2
2 < x < 3
-1 < x < 0
Step-by-step explanation:
Nico was stunned when he opened the mail.Here was a check for $332.50 this is the interest he earned on his investment.One year ago Nico had been given 5,000.His parents made him put it in the bank and save it for college,but the said he could keep the interest it earned each year.A portion of his money is deposited in a high rate account that earned 8% annual interest.The rest is in a regular account that earned 3% this year.Both accounts pay simple interest computed at the end of the year.How much of Nicos money was invested in each account.
Answers
Answer:
Investment A = 3650
Investment B = 1350
Step-by-step explanation:
Given that:
Total interest earned = 332.50
Total Principal invested = 5000
Investment A:
Rate = 8%
Time = 1 year
Principal = a
Interest earned = 0.08a
Investment B:
Rate = 3%
Time = 1 year
Principal = b
Interest earned = 0.03b
a + b = 5000 ____(1)
0.08a + 0.03b = 332.50 - - - (2)
From (1)
a = 5000 - b
Into (2)
0.08(5000 - b) + 0.03b = 332.50
400 - 0.08b + 0.03b = 332.50
400 - 0.05b = 332.50
-0.05b = - 67.5
b = $1350
a = 5000 - b
a = 5000 - 1350
a = $3650
The function f(x) = x is translated 6 units right and 8 units up. Which function represents the transformation?
Answers
Answer: g(x)=(x-6)+8
earth's circumference is roughly 24,900 miles. using this information to calculate the answer to this question. then, use your answer to this question to calculate the answers to the next series of questions. round your answer to three decimal places (for example, 317.284 miles). in order to receive credit you must show your work. to show your work, please type out every number and mathematical function you used to arrive at the answer. how many miles are there in one degree of latitude? show your work. hint: consider that, while we only express latitudes up to 90 degrees (the number of degrees between the equator and the poles), the full circumference of any circle or sphere, (or near-sphere, in the case of the earth) encompasses 360 degrees.
Answers
There is a circumference of 69.167 miles per degree of latitude.
How many arc does the Earth comprise by one degree of its latitude?
Firstly, we assume that the earth is a spherical form to simplify calculations as spheres have constant radii of curvature, because the real form of the planet is similar to a oblate spheroid, a kind of ellipsoid. In addition, the circular arc (s), in miles, is directly proportional to the measure of the central angle (θ), in degrees, that is:
s ∝ θ
s = k · θ (1)
Where k is the constant of proportionality, in miles.
Now we eliminate the constant of proportionality and we calculate the circular arc afterwards:
s / 24900 mi = 1° / 360°
s = 1 / 360 × 24900 mi
s = 69.167 mi
There is a circumference of 69.167 miles per degree of latitude.
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the sum of two positive integers $a$ and $b$ is $1001$. what is the largest possible value of $\gcd(a,b)$?
Answers
The two integers 143m, 143n = a, b have only the factor of 143 in common.....and it is the g c d of both given , two positive integers of a and b is = 1001 factors 0f 1001is = 7 x 11 x 13 So.....143 is the greatest proper divisor of 1001.This means, that we have 143( m + n) = 143m + 143m = a + b = 1001, where ( m + n) = 7 and,
m + n are two positive integers whose sum = 7,
they are relatively prime to each other.
Therefore, these two integer 143m, 143n = a, b have only the factor of 143 in common.....and it is the g c d of both
An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
Integers come in three types: Zero (0) Positive Integers (Natural numbers) Negative Integers (Additive inverse of Natural Numbers)
An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043. A set of integers, which is represented as Z, includes: Positive Numbers: A number is positive if it is greater than zero.
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A town has a population of 9000 and grows at 3% every year. What will be the population after 9 years, to the nearest whole number?
Answers
Answer:
11743
Step-by-step explanation:
correct on deltamath
Answer:
11743
Step-by-step explanation:
Hi!! Can you help me with this math problem? UvU okaayy TYYY!!
Which statement is not true for the parabola who equation is y= 2x^2- 12x +29
- The parabola opens upward
- The vertex is ( -3, 11)
- The axis of symmetry is x= 3
- The parabola contains the point ( 1, 19)
Again, thank q sm for helpingggg <3 I will give brainliest and Thanks hehe
Answers
Answer:
I just graphed it in desmos for you UvU
The second answer is false. The vertex is not (-3, 11). The vertex is (3, 11). I can see that the parabola has a point of (1, 19), and the parabola opens upward, as well as has an axis of symmetry; x = 3.
Hope that helps
The angle between the generator and the central axis of a double-napped cone is 50°. Which conic section is formed when a plane intersects the central axis at 50°?
circle
ellipse
parabola
hyperbola
Answers
Answer:
Parabola
Step-by-step explanation:
A parabola will be formed when a plane intersects the central axis at 50°
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
The angle between the generator and the central axis of a double-napped cone is 50° and a plane intersects the central axis at 50°
Ф = ∅
Where Ф is the angle between the vertical axis and plane and
∅ is the angle between the generator and central axis.
When both angles are the same the parabola is formed by the intersection of the plane.
Thus, a parabola will be formed when a plane intersects the central axis at 50°
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Plz help i have tried everything
Answers
Answer:
Step-by-step explanation:
I'm going to leave my answer, but it is not correct. Ms. Clarke gave you the write interpretation. If you are still around, give her the Brainiest.
Answer:
A. y=3/4x-1
Step-by-step explanation:
3/5y+(-6/5y) help me plz
Answers
Answer:
I think it's 5 bc hypothetically speaking
can someone help me with this please
Answers
Answer:
Step-by-step explanation:
The wording on this is not the best. It sounds like the 1 zero has even multiplicity (that's because of where the modifier is). On top of that it has an odd power. You could try this. y =x*(x^2+1)^2
The problem is not with the power. It gives x^5. The problem is with the multiplicity of the one place where it crosses. (X^2 + 1) does factor, but it gives a complex root. I'm not sure that's allowed. However, it is the best I can do.
A(3,5) (x,y)->(x+2, y-4) What are the coordinates of A?
Answers
the equation y = 5x + 2 is parallel to the equation y = -5x - 5.
Answers
(5x^4 + y^5)^2
HELP.
Answers
need help Bad!!!!!!!!
Answers
Answer:
z=118 y=21
Step-by-step explanation:
for z
since 2 sides of a line should equal 180 degrees, subtract 62 from 180
180-62=118 since z and the side opposite of 62 are congruent so
z=118
for y
62 and [tex]5y-43[/tex] are congruent so set them equal to each other and solve:
[tex]5y-43=62\\5y=105\\\\y=21[/tex]
18 movie goers bought tickets on-line. This represents 30% of the total people going to the same movie. How many people are seeing the movie?
Answers
Answer:
60
Step-by-step explanation:
[tex]0.3 \times x =18 \\ x = 18 \div 0.3 \\ x = 60[/tex]
What is the slope of the line containing the points (2,3) and (-4,0)?
A. 2
B. -1/4
C. 1/2
D. -2
Answers
Answer:
1/2 is the answer
Step-by-step explanation:
using the formula of slope Y2-Y1/X2- X1
0-3=-3
-4-2=-6
-3/-6 = -1/-2 = 1/2
Please help!! 35 points!!
Martin throws a water balloon from his bedroom window straight down to hit his older brother on the head. The speed of the water balloon is 23 feet per second. Martin’s window is 24 feet about the ground, and his brother is 6 feet tall.
How long does it take for the balloon to hit Marin’s brother in the head?
Answers
Answer:
It should take 17.28 seconds
Step-by-step explanation:
Its hard to explain, sorry! :)
What is the average rate of change of the function from X=2 to x=4
(Write the answer as a whole number.)
Answers
Answer:
I have no results if I get some I will notify you
Step-by-step explanation:
I hope that help's
there are 5 red shoes, 4 green shoes. if one draw randomly a shoe what is the probability of getting a red shoe?
Answers
Factorise 9xsquared +3xcubed
Answers
Answer:
=3x^2\left(3+x\right)
Step-by-step explanation:
I need help! :) please & ty
Answers
Answer:
Step-by-step explanation:
NO we can not prove ΔDEF ≅ΔOPQ using SAS congruence theorem becasue we are given ( not a Side Angle Side)
∠D≅∠O (Angle)
DF ≅ OQ (Side)
∠F ≅∠Q (Angle)
HOWEVER,
The ΔDEF ≅ΔOPQ because ASA concruence.
Isaiah spent $19.60 on a gift for his mother. The amount that he spent on the gift was StartFraction 5 over 7 EndFraction of the total amount that he spent at the store.
Which statements can be used to find x, the total amount that Isaiah spent at the store? Select three options.
A. StartFraction 5 over 7 EndFraction = StartFraction x over 19.60 EndFraction
B. StartFraction 5 over 7 EndFraction x = 19.60
C. StartFraction 5 over 7 EndFraction (StartFraction 7 over 5 EndFraction) x = 19.60 (StartFraction 7 over 5 EndFraction)
D. StartFraction 5 over 7 EndFraction (StartFraction 7 over 5 EndFraction) = StartFraction x over 19.60 EndFraction (StartFraction 7 over 5 EndFraction)
E. x = 27.44
Answers
Answer:
B,C and E
Step-by-step explanation:
I did the test
Answer:
that one dude is correct i can confirm this like frfr
Step-by-step explanation:
23 % as a fraction in its simplest form.
Answers
Answer:
23/100
Step-by-step explanation:
i do not think you can simplify any further if you want simplest form.
Help!!! Whats The answer, Please explain your answer Marking brainlliest:D.....I Really need this
Answers
Answer:
First, we need to find the rate.
210 = 21x
x = 10
We need to know how much he gets in 35 hours
35x
35(10) = 350
D is your answer.
A rectangular lot is 120 meters long and 85 meters wide.
Give the length and width of another rectangular lot that has the same perimeter but a smaller area.
Answers
The length and width of another rectangular lot that has the same perimeter but a smaller area will be 140 and 65m
How to illustrate the information?It should be noted that perimeter is calculated as:
Perimeter = 2(Length + Width)
Perimeter = 2(120 + 85)
Perimeter = 410m
Therefore, the length and width of another rectangular lot that has the same perimeter but a smaller area will be 140 and 65.
The area will be:
= 140m × 65m
= 9100m²
This is smaller than (120 × 85) = 10200m².
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Can somebody help me??
Answers
Answer:
b and c are your answers
Step-by-step explanation:
Hopefully this helps :)
Will mark as branilest and heart if help
Answers
Answer:
B
Step-by-step explanation:
as the easiest way to calculate without the help of a calculator ¯\_(ツ)_/¯
pls help math esperts
Answers
Answer:
Jackson spent $4.25 on his lunch
Step-by-step explanation:
because $6.50- $2.25 is $4.25
Answer:
$4.25
Step-by-step explanation:
so for this problem you need to solve for jackson the way you do this is you take Matt's price for lunch and subtract it by the 2.25 to get jackson's answer cuz Matt spent $2.25 more than jackson
HELP ME PLEASE I AM BEGGING
Answers
Answer:
H
Step-by-step explanation:
well it would be a proportion. so 5 cans per 3 days gives you 5/3. then for the next proportion. it would also be cans over days. so c / 7
5/3 = c/7
answer is H