Answers
Answer: y = -4x - 4
Step-by-step explanation:
Point slope form: y - y1 = m(x - x1)
Plug in y1 and x1, and m. M is the slope, x1 and y1 are the values for a coordinate. You don't need to plug anything in for y or x, just y1 and x1.
First, find the slope. To find the slope, use this "formula" : [tex]slope=\frac{rise}{run} =\frac{y1-y2}{x2-x1}[/tex]
Find two coordinate points. Let's use (-2,4) and (0,-4). Based on this, we know that y1 is 4, y2 is -4, x1 is -2, and x2 is 0. Plug these into the formula:
[tex]\frac{4--4}{-2-0} =\frac{4+4}{-2} =\frac{8}{-2}=-4[/tex]
Then, pick any point to plug into the equation. Let's use (0,-4)
Finally, plug everything into the equation:
y - - 4 = -4(x - 0)
y + 4 = -4x
y = -4x - 4
Answer:
[tex]y - 4 = - 4(x + 2)[/tex]
Step-by-step explanation:
Point Slope Form is a algebraic formula when we know a pair of points and it
slope.
It can be represented by
[tex]y - y_{1} = m(x + x _{1})[/tex]
where m is the slope and x 1 and y 1 are the points we know.
The coordinates we know are (-2,4) so we just plug it in.
We also know the slope of the line is rise/run. Look at point (-2,4). The next consecutive point before that is x intercept (-1,0). Let use the slope formula to find the slope
[tex] \frac{0 - 4}{ - 1 - ( - 2)} = \frac{ - 4}{1} = - 4[/tex]
So the slope or m is -4. Plug this in and the coordinates into point slope formula.
[tex]y - 4 = - 4(x - ( - 2)[/tex]
[tex]y - 4 = - 4(x + 2)[/tex]
That the answer.
Related Questions
A train travelling in a circular track of 0.75 km of radíus at 22 km/hr. Find the angle in degrees through which it turns in one minute.
Answers
Step-by-step explanation:
Radius of circular track=r=0.75km
Circumference=2πr=2πkm
Speed of train=36 km\hr
Distance moved by train in 30 seconds =36×
3600
30
=
10
3
km
For 2π km, train turns 2π
c
∴ For
10
3
km, train turns
10
3
c
=
π
54
∘
1 minute of arc=
60
1
∘
Angle turned by train =(
π
54×60
) minutes of arc.
≃1031 minutes
Answer:
vận tốc22
chiềudai0.75
t=1/60
đ=111/30
how many solutions in 3(6x-2) = 2(9x-3)
Answers
Answer:
Infinite solutions
Step-by-step explanation:
Distribute the numbers
3(6x-2) = 18x - 6
2(9x-3) = 18x - 6
18x - 6 = 18 - 6
Since both sides of the equal sign are the same, that means you can plug any number into x, and it will always be a valid answer.
8a^3-36a^2+54a-27-64p^3
Answers
Answer:
8a^3-64p^3-36a^2+54a-27
Step-by-step explanation:
since it no common variable so it can not be further solved
Point T is on line segment SU. Given ST = 4x – 4, TU = 4x – 10, and
SU = 5x + 1, determine the numerical length of TU.
Answer: TU =
Answers
Find the slope, if it exists. 5x - 7y = 14 Select the correct choice below and fill in any answer boxes within your choice.
A. The slope is (Type an integer or a simplified fraction.)
B. The slope is undefined.
Answers
Answer:
5/7
Step-by-step explanation:
5x-7y=14
-7y=14-5x
y=-2+5/7x
y=5/7x-2
This slope is 5/7. This is because in the standard form of a line (y=mx + b), m represents the slope. In the equation above, 5/7 is the slope.
Can anyone answer this for me?
Answers
Answer:
y = 2 - [tex]x^{2}[/tex]
Step-by-step explanation:
[tex]x^{2}[/tex] results in a parabola (U-shape). Adding a negative in front of it flips the parabola to look like an upside-down U.
The 2 makes it shift up two decimal spots to (0,2).
Evaluate Equation
Please help!!
Answers
Answer:
A
Step-by-step explanation:
x^2/y+x^2/z where x=6, y=-4 and z=-2
x^2(1/y+1/z)=36*(-1/4+(-1/2))=-36*(3/4)=-27
Answer:
9
Step-by-step explanation:
kwowoooaloiwknwjsjsisjsjsjsisjsj
[tex]-2x(x+3)-(x+1)(x-2)[/tex]
Answers
Answer:-3x2-5x+2
Step-by-step explanation:
Distribute -2x to x+3, and then x+1 to x-2
[tex]-2x^{2}[/tex] [tex]-6x[/tex] [tex]-x(x-2)+1(x-2)[/tex]
[tex]-2x^{2} -6x-x^{2} +2x+1x-2[/tex]
[tex]-3x^{2} -3x-2[/tex]
Sorry it’ll be -3x2 -5x +2
Graph the line that passes through the points (-5,1) and (5, -5) and determine the equation of the line.
Answers
Answer:
y = -3/5x - 2
Step-by-step explanation:
y2 - y1 / x2 - x1
-5 - 1 / 5 - (-5)
-6/ 10
= -3/5
y = -3/5x + b
1 = -3/5(-5) + b
1 = 3 + b
-2 = b
plz help im dying to know the answer please hurry asap please
Answers
Match each equation to its graph. Use the drop-
down menus to describe the equations.
Answers
Answer:
D. y=x+1 Linear
A. y=x^2 Quadratic
B. y=(3/2)^x Exponential
C. y=x^2+2/x^2-2 Rational
Step-by-step explanation:
got it right :)
The correct option for the equations are:
y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option C What is a linear equation?The linear equation is an equation whose highest degree of the variable is 1 which represents the graph of the straight line.
For example y=2x+3
What is a quadratic equation?The quadratic equation is an equation whose highest degree of the variable is 2 and it has at most 2 solutions.
For example, y=3x²
Here given that the functions are given in the figure and we have to identify the appropriate graph.
Checking all the equations individually
y=x+1 the correct option for this equation is Option D as it is a linear equation that represents a straight line.y=x² the correct option for this equation is Option A as it is a quadratic equation that represents a parabola.y=(3/2)ˣ the correct option for this equation is Option B as it is an exponential equation that represents an exponential graph such as the graph of y=aˣ.y=(x²+2)/(x²-2) the correct option for this equation is Option C as from the equation it is clear that it is symmetrical about the y-axis and it is negative for the value x²<2⇒ -√2<x<√2 which matches with the graph in Option D.Therefore the correct option for the equations are:
y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option CLearn more about linear equation
here: https://brainly.com/question/14323743
#SPJ2
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?
A. 15:31
B. 46:31
C. 31:15
D. 31:46
Answers
Answer:
B. 46:31
Step-by-step explanation:
Answer:
46:31
Step-by-step explanation:
There are 46 beads in total (31 pink and 15 purple).
So, the ratio of the total number of beads to the number of pink beads is 46:31.
Hope this helps :)
Find the smallest natural number that has a remainder 3 when divided by 5, a remainder 5 when divided by 7, and a remainder 8 when divided by 10.
Answers
Answer:
68
Step-by-step explanation:
"a remainder 3 when divided by 5": The number must be 3 more than a multiple of 5.
"a remainder 5 when divided by 7": The number must be 5 more than a multiple of 7.
"a remainder 8 when divided by 10": The number must be 8 more than a multiple of 10.
List some number that are 8 more than a multiple of 10:
18, 28, 38, 48, 58, 68, 78, 88, 98
List some number that are 5 more than a multiple of 7:
12, 19, 26, 33, 40, 47, 54, 61, 68, 75
We see 68 as a the lowest common multiple.
68/5 = 13 remainder 3
Answer: 68
In a school 125 students it was found that 60 students failed in Nepali, 45 failed in English and 30 failed in both subjects.1How many students succeeded in both subjects ?
ii) ? How many were failed only in Nepali?
iii) Represent above information in a venn – diagram.
Answers
Step-by-step explanation:
125 -30 = 95..
125 - 60 = 65
Monica hiked west from her campsite for 24 miles and then hiked north for 7 miles, as shown in the diagram.
What is the shortest distance Monica can hike to return to the campsite?
A. 25 miles
A. 25 miles,
B. 17 miles
B. , , 17 miles, , ,
C. 31 miles
C. , , 31 miles, , , ,
D. 41 miles
Answers
Answer: A. 25 miles
Step-by-step explanation: I used Pythagorean’s Theorem.
Which best describes the relationship between the line that
passes through the points (1, -6) and (3,-2) and the line that
passes through the points (4,8) and (6, 12)?
A. parallel
B. same line
C. neither perpendicular nor parallel
D. perpendicular
Answers
A video game displays 125 frames in 5 seconds on Penelope's computer. What is the rate in frames per second?
A. 23 frames per second
B. 25 frames per second
C. 26 frames per second
D. 24 frames per second
Answers
Answer:
[tex] = { \tt{ \frac{125}{5} }} \\ = { \bf{25 \: frames \: per \: second}}[/tex]
Answer:
B. 25 frames per second
Step-by-step explanation:
To find the rate in frames per second, divide the total frames in 5 seconds by 5. This is because 5/5=1 and that way we're finding the frames per (one) second.
Therefore, we have:
[tex]\frac{125}{5}=\boxed{25\text{ frames per second}}[/tex]
How does an outlier affect the median?
Answers
Answer:
Formulas and Procedures: Outlier An extreme value in a set of data which is much higher or lower than the other numbers. ... Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.
Sin³xcosx+sinxcos³x=sinxcosx
Answers
Answer:
Step-by-step explanation:
[tex]sin^3xcosx+sinxcos^3x\\=sinx cosx(sin^2x+cos^2x)\\=sinx ~cosx(1)\\=sin~x~cos~x[/tex]
Next, find the length of BC. Place point F at (4,4), and draw BF and FC. Find BF and FC using the coordinates of B, C, and F. Then use the Pythagorean Theorem to find BC.
Answers
9514 1404 393
Answer:
BC = 5
Step-by-step explanation:
Of course, this geometry program can tell you the length of BC.
__
If you follow directions, you get a right triangle BCF that has leg lengths 3 and 4. The Pythagorean theorem then tells you the length of hypotenuse BC is ...
BF = 4 -1 = 3
FC = 4 -0 = 4
BC² = BF² +FC²
BC² = 3² +4² = 9 +16 = 25
BC = √25
BC = 5
Part A: Estimate the IQR for the males' data. (2 points)
Part B: Estimate the difference between the median values of each data set. (2 points)
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)
Part D: Provide a possible reason for the outlier in the data set. (2 points)
Answers
Part A: 23
Part B: 13
Part C: Median for the males
Mean for the females
Part D: The day the movie premiered
Process to arrive at the above answers
The likely missing part of the question; The Box Plots are to compare The Number of Males and The Number of Females attending the latest superhero movie every day in a given month
The known parameters
The 5 number summary in a are;
[tex]\begin{array}{lcc}\mathbf{Summary}&\mathbf{Males}&\mathbf{Females}\\\\Minimum &0&0\\First \ Quartile, \ Q_1&2&5\\Second \ Quartile, \ median, Q_2&20&7\\Third \ Quartile, Q_3&25&10\\Maximum &50&18\\Outlier&&46\end{array}[/tex]
Part A: The Inter Quartile Range, IQR = Q₃ - Q₁
For the males, we have, IQR = 25 - 2 = 23
Part B: The difference between the median values for the males and females is given as follows;
Difference between median = Q₂ Males - Q₂ Females
∴ Difference between median = 20 - 7 = 13
The difference between the median values for the males and females = 13
Part C:
The distribution of the data for the males is skewed left, with almost all the data in the first half
The better measure of center for the skewed data is the median, given
that three quarter of the data have values that are less than half of the
range of values in the data set, and that the median is close to the third
quartile, the mean will be located further towards the minimum value of
the data than the median
The distribution of the data for the females consists of the interquartile
range located approximately in the middle between the max and the min
values with the median being close to the first quartile, therefore, the
mean will be a better measure of center as it will be located further from
the first quartile and closer midway in the IQR
Part D;
The possible reason for the outlier in the data set may be due to the first day the latest super hero movie is premiered
Learn more about box plots here;
https://brainly.com/question/16171899
https://brainly.com/question/20164121
https://brainly.com/question/17248599
PLEASE HELP WILL GIVE BRAILNLIEST! Find the value of x
Answers
Answer:
x = 14.63
Step-by-step explanation:
Which geometric figure does not have rotational symmetry?
A. trapezoid
B. equilateral triangle
C. regular pentagon
D. rectangle
Answers
Answer:
A. trapezoid
Step-by-step explanation:
A trapezoid does not have rotational symmetry . It would have to rotate 360 degree to look the same
An equilateral triangle has 120 degree rotational symmetry
A regular pentagon has 72 degree rotational symmetry
A rectangle has 180 degree rotational symmetry
giving the funtions f(x)=2x-5 and g(x)=3x2=2 perform the indicated operation
Answers
Answer:3165
Step-by-step explanation:
The University of Detroit-Mercy is 3/4 miles from Dana's house. Marygrove College is 2/5 miles from her house. What is the difference in the two distances?
Answers
Answer:
0.35 as a decimal and 7/20 as a fraction
Step-by-step explanation:
is {3,…} a defined set
Answers
Answer:
is infinite set... because dots meaning non stop
Felix is now six times as old as Debbie. In twelve years time Felix will be two times as old as Debbie. How old are they
Answers
Step-by-step explanation:
let debbie be x years
let felix be 6x years
in 12 years felix will be 2x older than debbie
do the calc
PLEASE HELP!
Create an equation to model a population of cells which starts with 10 cells and doubles in size every day. How many days will it take to reach 1,000,000 cells?
Answers
Answer:
100,000 days
Step-by-step explanation:
1,000,000 / 10 = 100,000 days.
How many dimes are there in four hundred
and sixty-seven million dollars?
Answers
Answer:4,670,000,000
Step-by-step explanation:
You just have to multiply 467,000,000 by 10
Answer:
4,670,000,000
Step-by-step explanation:
multiply by 10
an expression that equals to 6/5
Answers
Answer:
(3+3) / (2+3) = 6/5
:)))
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