Answer:
B) The scale on the y-axis could be changed to 25–40.
Answer:
B the scale on the y-axis could be changed from 25-40
Step-by-step explanation:
just took test on edg and got a 100
A point on the rim of a wheel moves with a velocity of 60 feet per second. Find the angular velocity of the point if the diameter of the wheel is 6 feet. 10 rad/sec 20 rad/sec 180 rad/sec 360 rad/sec
Answer:
20 rad/sec
Step-by-step explanation:
The formula we are going to use is [tex]v=\omega r[/tex]
Where
v is the linear velocity (here given 60 ft/s)
[tex]\omega[/tex] is the angular velocity (what we sought to find)
r is the radius (which is half of diameter, hence, 6/3 = 3 ft)
Plugging these numbers in, we find the angular velocity as:
[tex]v=\omega r\\60=\omega*(3)\\\omega=\frac{60}{3}=20[/tex]
Note: the units is radians per second (rad/s)
Correct answer 20 rad/sec
Answer:
[tex]20 \frac{rad }{sec}[/tex]
Step-by-step explanation:
Hello.
let's see this way.
if you know the distance(a circumference 2πr) and the speed(60 ftps) you are able to find the time it takes a whole spin( a circle)
Step 1
find the distance and time
Let
[tex]V=60 \frac{feet}{sec} \\distance= circumference= 2*\pi *r\\diameter=6 feet\\radius=\frac{Diameter}{2}\ so,r=\frac{6}{2} =3 feet\\Hence\\\\distance= circumference= 2*\pi *3\\\\distance=18.84\\\\time=\frac{distance}{velocity}\\ put\ the\ values\\time=\frac{18.84 feet}{60 \frac{feet}{sec} } \\\\time=0.314\ sec[/tex]
now, for obtain the angular velocity , divide the circumference (use radians 2π radians=360 degrees )by the time it takes to complete a lap
[tex]\alpha =\frac{(2 \pi rad)}{time\ per\ lap}\\\\ \alpha =\frac{(2\pi rad)}{0.314 sec}\\ \alpha =20 \frac{rad}{sec}[/tex]
Have a great day
80 POINTS!!! HELP PLEASE ASAP!!!!
The table and the graph below each show a different relationship between the same two variables, x and y:
A table with two columns and 5 rows is shown. The column head for the left column is x, and the column head for the right column is y. The row entries in the table are 4,100 and 5,125 and 6,150 and 7,175. On the right of this table is a graph. The x-axis values are from 0 to 10 in increments of 2 for each grid line. The y-axis values on the graph are from 0 to 300 in increments of 60 for each grid line. A line passing through the ordered pairs 2, 60 and 4, 120 and 6, 180 and 8, 240 is drawn.
How much more would the value of y be on the graph than its value in the table when x = 12?
20
30
60
70
Answer:
The answer D is incorrect
I'm sorry I don't know the answer but I wanted to warn you so you can at least have a better chance
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
i took the test i got it right (:
what is a linear function
Linear functions are "graphs with straight lines." The formula to solving a linear function is [tex]y=f(x)=a+bx[/tex] Linear functions also have one independent variable and one dependent variable.
Hope this helps.
White shapes and black shapes are used in a game. Some of the shapes are circles. All the other sahpes are squares.
The ratio of the number of white shapes to the number of black shapes is 5:11
The ratio of the number of white circles to the number of white squares is 3:7
The ratio of the number of black circles to the number of black squares is 3:8
Work out what fraction of all the shapes are circles.
Answer:
9/32
Step-by-step explanation:
BC = black circle
BS = black square
WC = white circle
WS = white square
Given:
(WC + WS) / (BC + BS) = 5 / 11
WC / WS = 3 / 7
BC / BS = 3 / 8
Find: (BC + WC) / (BC + BS + WC + WS)
Solve for WC and BC in the last two equations, then substitute into the first:
WC = 3/7 WS
BC = 3/8 BS
WC + WS = 5/11 (BC + BS)
3/7 WS + WS = 5/11 (3/8 BS + BS)
10/7 WS = 5/8 BS
WS = 7/16 BS
Therefore:
WC = 3/7 WS
WC = 3/16 BS
Substitute:
(BC + WC) / (BC + BS + WC + WS)
(3/8 BS + 3/16 BS) / (3/8 BS + BS + 3/16 BS + 7/16 BS)
(9/16 BS) / (2 BS)
9/32
1/3x^2+2 what does the graph look like
Answer:
The answer in the procedure
Step-by-step explanation:
we have
[tex]\frac{1}{3}x^{2} +2[/tex]
This is a vertical parabola open upward with the the vertex at (0,2)
The vertex is a minimum
The y-intercept is the point (0,2) (value of y when the value of x is equal to zero)
The graph does not have x-intercepts, therefore the solutions of the quadratic equation are complex number
using a graphing tool
see the attached figure
What is the equation of the line that passes through (7, 4) and (4, -2)?
Answer:
y=2x-10
Step-by-step explanation:
First step: Let's compute the slope. You can directly use the formula for slope given two points here but I just like to like them up and subtract vertically. Make sure you put 2nd difference on top of 1st difference (yes, like a fraction).
(7 , 4)
-(4 , -2)
=======
3 6
So the slope is 6/3 =2.
So we know our line is in the form y=2x+b.
We have to find the y-intercept now. To find b we will use a point that we know is on the line (you know two-just choose one of them) . I will plug in (4,-2) giving me this equation -2=2(4)+b
Solving: -2=8+b
So b=-10
The answer is y=2x-10
What is the measure of angle 7?
Answer: 95°
Step-by-step explanation: We are given information for Angles 1 and 4, which happen to be vertical angles, meaning they are congruent. Because of this, we can say 3x+10=4x-15, therefore x=25. Angles 1,2,3 and 4 must add up to 360°, and since we know angles 1 and 4 are 85° (3*25 + 10 = 85), we can find angles 2 and 3. 360° - 85° - 85° = Angle 2 + Angle 3. Angle 2 + Angle 3 = 190, and because Angles 2 and 3 are vertical angles and therefore congruent, we can divide 190 by 2 and get that Angles 2 and 3 equal 95°. Because lines b and c are parallel, any corresponding angles created by a transversal are congruent. This basically means Angles 3 and 7 must be congruent, therefore Angle 7 = 95°
Congruent - same meaning as equal
Vertical Angles - each of the pairs of opposite angles made by two intersecting lines.
If f(x)=9x-8, which of the following is the inverse of f(x) *Apex*
f(x) and y are two different ways of denoting the same thing. Thus...
f(x) = 9x - 8 is the same as y = 9x - 8
Inverse: the inverse of a function is the resulting equation when x and y switch places and the equation is solved for x
SolveSwitch the places of x and y in the given equation:
y = 9x - 8 ---> x = 9y - 8
Solve the new equation for y (isolate y on the left side of the equation)
x = 9y - 8
x + 8 = 9y - 8 + 8
x + 8 = 9y
(x + 8) / 9 = 9y / 9
(x + 8)/9 = y
y = (x + 8) / 9
y = [tex]\frac{x+8}{9}[/tex]
Now you have the inverse of f(x) = 9x - 8:
A) [tex]f^{-1}[/tex] =[tex]\frac{x + 8}{9}[/tex]
Key Termsinverse
Answer:
A. [tex]f^{-1}(x)=\frac{x+8}{9}[/tex]
Step-by-step explanation:
We have been given a function [tex]f(x)=9x-8[/tex]. We are asked to find the inverse function for our given function.
First of all, we will rewrite [tex]f(x)[/tex] as [tex]y[/tex] as:
[tex]y=9x-8[/tex]
To find the inverse function, we will interchange x and y variables and then solve for y.
[tex]x=9y-8[/tex]
Now, we will add 8 on both sides of our given equation.
[tex]x+8=9y-8+8[/tex]
[tex]x+8=9y[/tex]
Switch sides:
[tex]9y=x+8[/tex]
Now, we will divide both sides of our equation by 9.
[tex]\frac{9y}{9}=\frac{x+8}{9}[/tex]
[tex]y=\frac{x+8}{9}[/tex]
Now, we will replace [tex]y[/tex] with [tex]f^{-1}(x)[/tex] as:
[tex]f^{-1}(x)=\frac{x+8}{9}[/tex]
Therefore, the inverse function for our given function would be [tex]f^{-1}(x)=\frac{x+8}{9}[/tex] and option A is the correct choice.
What transformations were applied to ABC to obtain A’B’C’
Answer: Im pretty sure it is D
Step-by-step explanation: I don't really know how to explain it.
I hope it helps tho ;)
Tell me if im wrong.
Answer: The correct option is
(D) rotation of 270 degrees counterclockwise and shifting 3 units up.
Step-by-step explanation: We are given to select the correct transformations that were applied to triangle ABC to obtain triangle A'B'C'.
From the graph, we note that
the co-ordinates of the vertices of triangle ABC are A(3, 4). B(5, 6) and C(8, 1).
And, the co-ordinates of the vertices of triangle A'B'C' are A'(4, 0), B'(6, -2) and C'(1, -5).
We see that
if a point (x, y) is rotated 270 degrees counterclockwise and then shifted 3 units up, then its co-ordinates becomes
(x, y) ⇒ (y, -x+3).
With this transformation rule,
A(3, 4) ⇒ (4, -3+3) = (4, 0),
B(5, 6) ⇒ (6, -5+3) = (6, -2)
and
C(8, 1) ⇒ (1, -8+3) = (1, -5).
Since the resulting co-ordinates are the vertices of triangle A'B'C', so the required transformations rare
rotation of 270 degrees counterclockwise and shifting 3 units up.
Option (D) is CORRECT.
Find the value of logarithm log(4)1
Answer:
0.
Step-by-step explanation:
If log(a) x = b
Then by the definition of a logarithm x = a^b.
So let log(4) 1 = y
then 1 = 4^y
but 4^0 = 1
so y = log(4) 1 = 0.
Triangle ABC has vertices at A(-2, 3), B(-3,-6), and C(2,-
1). Is triangle ABC a right triangle? If so, which angle is the
right angle?
w Ano
A(-2,3)
O No, the triangle has no right angles.
O Yes, the right angle is angle A.
O Yes, the right angle is angle B.
O Yes, the right angle is angle C.
6
5
4 -3 3-2 -1,5
2
6
x
3 4 5
C (2,-1)
B(-3,-6)
Answer:
Yes, the right angle is angle B
Step-by-step explanation:
we have
[tex]A(-2, 3), B(-3,-6),C(2,-1)[/tex]
Plot the vertices
see the attached figure
we know that
If triangle ABC is a right triangle
then
Applying the Pythagoras Theorem
[tex]AB^{2} =AC^{2}+BC^{2}[/tex]
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
Find the distance AB
[tex]A(-2, 3), B(-3,-6)[/tex]
substitute in the formula
[tex]d=\sqrt{(-6-3)^{2}+(-3+2)^{2}}[/tex]
[tex]d=\sqrt{(-9)^{2}+(-1)^{2}}[/tex]
[tex]AB=\sqrt{82}\ units[/tex]
Find the distance BC
[tex]B(-3,-6),C(2,-1)[/tex]
substitute in the formula
[tex]d=\sqrt{(-1+6)^{2}+(2+3)^{2}}[/tex]
[tex]d=\sqrt{(5)^{2}+(5)^{2}}[/tex]
[tex]BC=\sqrt{50}\ units[/tex]
Find the distance AC
[tex]A(-2, 3),C(2,-1)[/tex]
substitute in the formula
[tex]d=\sqrt{(-1-3)^{2}+(2+2)^{2}}[/tex]
[tex]d=\sqrt{(-4)^{2}+(4)^{2}}[/tex]
[tex]AC=\sqrt{32}\ units[/tex]
Verify the Pythagoras theorem
[tex](\sqrt{82})^{2} =(\sqrt{32})^{2}+(\sqrt{50})^{2}[/tex]
[tex]82=82[/tex] ---> is true
therefore
Is a right triangle and the right angle is B
a solution consisting of 52 mg of dopamine in 26 mL of solution at a rate of 10 mL/hr what is the flow rate in mg of dopamine per hour
Answer:
20 mg / hour
Step-by-step explanation:
The first step is to find the mg/mL of dopamine.
If there are 52 mg / 26 mL, then there are 2 mg / 1 mL (just reduce the fraction).
If we are losing 10 mL / 1 hour, and there are 2 mg / mL, then the flow rate of dopamine mg / hour is 20.
You can also do this using dimensional analysis.
[tex]\frac{52 mg}{26 mL} (\frac{10 mL}{1 hour})[/tex]
Just cross out the units that cancel in the numerator and denominator (mL in this case), and you're left with mg / hour. Then multiply the numerators and divide by the denominators. You get the same answer.
The first step is to find the mg/mL of dopamine.
If there are 52 mg / 26 mL, then there are 2 mg / 1 mL (just reduce the fraction).
If we are losing 10 mL / 1 hour, and there are 2 mg / mL, then the flow rate of dopamine mg / hour is 20.
You can also do this using dimensional analysis.
[tex]\frac{52 mg}{26 mL} (\frac{10 mL}{1 hour})[/tex]
Just cross out the units that cancel in the numerator and denominator (mL in this case), and you're left with mg / hour. Then multiply the numerators and divide by the denominators. You get the same answer.
Write an equation to solve the problem.
Jack has 5 trains. He gets 2 new trains every month for good behavior. How many months until Jack has 23 trains?
Answer:
5 + 2m = 23
Step-by-step explanation:
This equation can be solved as follows:
5 + 2m = 23
2m = 23 - 5
m = 18/2
m = 9 months
Taylor rides her bicycle for 3 hours and is 32 miles from her house. After riding for 6 hours, she is 62 miles away.
What is Taylor's average rate during her trip?
_____ miles per hour
Step-by-step explanation:
10.44 is correct as we have to add both dis and divide by both hrs
In this case, Taylor's average rate is 10 miles per hour.
To calculate Taylor's average rate during her trip, we can use the formula for average speed:
Calculate the total distance traveled: 62 miles - 32 miles = 30 miles.
Calculate the total time taken: 6 hours - 3 hours = 3 hours.
Divide the total distance by the total time to find the average speed: 30 miles / 3 hours = 10 miles per hour.
The GCF of 6 and 8 is__
Answer:
2
Step-by-step explanation:
The reason 2 is the Greatest Common Factor of 6 and 8 is because 2 is the only number (other than 1) that you can divide evenly by both numbers without making a fraction. 6/2= 3 and 8/2= 4.
Answer:
Step-by-step explanation:
In general, factor the numbers given into their primes.
6: 2*3
8: 2 * 2 * 2
Take the most you can from the two numbers primes. In this case it is 2.
A slightly more interesting problem is the GCF of 12 and 18
12: 2 * 2 * 3
18: 2 * 3 * 3
Here the two numbers that are common to both factored numbers is 2 and 3
GCF = 2*3
GCF = 6
A 43 degree angle can be classified as which angle type ?
Answer: Acute Angle
Step-by-step explanation:
Any angle 89 degrees or less will identify as an acute angle.
A 43 degree angle can be classified as an acute angle.
What type of angle is classified as 43 degrees?A 43 degree angle is classified as an acute angle which means it measures less than 90 degrees. Acute angles are commonly found in many geometric shapes.
They are also often associated with sharp corners or narrow angles. In the case of a 43 degree angle, it is smaller than a right angle (90 degrees) but larger than a zero or null angle.
Read more about angle
brainly.com/question/25770607
#SPJ6
the perimeter of a rectangle is 11 inches. the width is 2 inches shorter than the length. find the length of the rectangle.
The perimeter is 11 inches.
One side is 2 inches shorter, so two sides would be 4 inches shorter total.
Subtract 4 from 11 to get 7 inches.
Divide 7 by 4 ( the number of sides):
7 / 4 = 1.75
The shorter side is 1.75 inches.
Now add 2 inches to that for the longer side:
1.75 + 2 = 3.75 inches.
Check: 3.75 + 3.75 + 1.75 + 1.75 = 11
The longer side is 3.75 inches.
What is the domain of the function shown in the table?
X y
-2 0
-1 1
0 2 1 3
Answer:
{-2,-1,0}
Step-by-step explanation:
The domain of a function is defined as the set of x values for which the function is real and defined. The x values represent independent or predictor variable.
The domain of the function is thus;
{-2,-1,0}
These are basically the x values of the function
What is the perimeter of the square in terms of x? The length of each side is 2x-1in.
Answer:
Perimeter of the square = 8x - 4 in
Step-by-step explanation:
Perimeter of the square = 4 * side
= 4 * (2x - 1)
= 8x - 4 in
What four numbers can equal 15?? Please help!!
Answer:
1,3,5,15
Step-by-step explanation:
these are the factors of 15
Answer:
Step-by-step explanation:
I must assume that you meant, "the sum of which four numbers equals 15?"
15 = 6 + 9
= 3 + 3 + 9
= 3 + 3 + 3 + 6
All of these sets (on the right side) add up to 15. There are four numbers in the last set.
If X/7=Y/5 then what does 5X equal
Answer:
7y
Step-by-step explanation:
By cross multiplication
[tex] \frac{x}{7} = \frac{y}{5} \\ 5x = 7y[/tex]
Answer:
[tex]5x=7y[/tex]
Step-by-step explanation:
We have the following relationship
[tex]\frac{x}{7}=\frac{y}{5}[/tex]
Based on the relationship between the variables X and Y that we know, we must find out what the expression "5x" is in terms of the variable y.
Then we solve the equation for x
[tex]x=\frac{7y}{5}[/tex]
Now multiply by 5 both sides of equality
[tex]5x=\frac{5*7y}{5}[/tex]
[tex]5x=7y[/tex]
Finally we have that 5x equals 7y
Find the area of a 120° sector of a circle whose radius is 6.
4 sq. units
12 sq. units
24 sq. units
ANSWER
[tex] 12\pi[/tex]
EXPLANATION
The area of sector is calculated using
[tex] \frac{angle\:of \: sector }{360 \degree} \times \pi \: {r}^{2} [/tex]
The angle of the sector is 120° and the radius of the circle is 6 units.
We substitute the given values into the formula to obtain:
[tex] \frac{120 \degree}{360} \times \pi \times {6}^{2} [/tex]
[tex] = \frac{120 \degree}{360} \times \pi \times 36[/tex]
[tex]= \frac{120 \degree}{10} \times \pi = 12\pi[/tex]
Hence the area of the sector is [tex] 12\pi[/tex]
In the diagram of circle C, what is the measure of 21?
O 17°
35°
70°
710
Answer:
The measure of angle 1 is 35°
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
∠1=(1/2)[106°-36°]=35°
sinx = 1/2, cosy = sqrt2/2, and angle x and angle y are both in the first quadrant.
tan(x+y)=
A. -3.73
B. 1.53
C. 3.00
D. 3.73
Answer:
Option D. 3.73
Step-by-step explanation:
we know that
[tex]tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}[/tex]
and
[tex]sin^{2}(\alpha)+cos^{2}(\alpha)=1[/tex]
step 1
Find cos(X)
we have
[tex]sin(x)=\frac{1}{2}[/tex]
we know that
[tex]sin^{2}(x)+cos^{2}(x)=1[/tex]
substitute
[tex](\frac{1}{2})^{2}+cos^{2}(x)=1[/tex]
[tex]cos^{2}(x)=1-\frac{1}{4}[/tex]
[tex]cos^{2}(x)=\frac{3}{4}[/tex]
[tex]cos(x)=\frac{\sqrt{3}}{2}[/tex]
step 2
Find tan(x)
[tex]tan(x)=sin(x)/cos(x)[/tex]
substitute
[tex]tan(x)=1/\sqrt{3}[/tex]
step 3
Find sin(y)
we have
[tex]cos(y)=\frac{\sqrt{2}}{2}[/tex]
we know that
[tex]sin^{2}(y)+cos^{2}(y)=1[/tex]
substitute
[tex]sin^{2}(y)+(\frac{\sqrt{2}}{2})^{2}=1[/tex]
[tex]sin^{2}(y)=1-\frac{2}{4}[/tex]
[tex]sin^{2}(y)=\frac{2}{4}[/tex]
[tex]sin(y)=\frac{\sqrt{2}}{2}[/tex]
step 4
Find tan(y)
[tex]tan(y)=sin(y)/cos(y)[/tex]
substitute
[tex]tan(y)=1[/tex]
step 5
Find tan(x+y)
[tex]tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}[/tex]
substitute
[tex]tan(x+y)=[1/\sqrt{3}+1}]/[{1-1/\sqrt{3}}]=3.73[/tex]
Answer:
D. 3.73
Step-by-step explanation:
some one help me please
For this case we have that by power properties it is fulfilled:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
Now, we can rewrite the expression as:
[tex]\frac {64g ^ 9 * h ^ 6 * k ^ {12}} {8g ^ 3 * h ^ 2} -h ^ {25} k ^ {15} =[/tex]
We also have by definition of properties of powers that:
[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]
So:
[tex]8g ^ {9-3} * h ^ {6-2} * k ^ {12} -h ^ {25} k ^ {15} =\\8g ^ 6 * h ^ 4 * k^{12} -h^{25} * k^{15}[/tex]
Answer:
Option D
Factor completely. If a polynomial is prime, state this.
2t^2-19-6t
ANSWER
Prime
EXPLANATION
The given quadratic expression is
[tex] {2t}^{2} - 19 - 6t[/tex]
We rewrite in standard form to obtain
[tex]{2t}^{2} - 6t - 19[/tex]
Comparing to the standard quadratic function in t,
[tex]a {t}^{2} + bt + c[/tex]
We have
[tex]a = 2[/tex]
[tex]b = - 6[/tex]
[tex]c = - 19[/tex]
We find that the product
[tex]ac = 2 \times - 19 = - 38[/tex]
There are no two factors of -38 that sums up to -6.
This means that, the given polynomial does not have rational factors.
Therefore the polynomial is prime.
30 points
What is the opposite of cosine called and what is its triangle ratio
Answer: Answer is below
Step-by-step explanation: The answer is that the opposite of a cosine is called a hypotenuse. The ratio of the triangle is called a tangent.
I hope this info helps! :V
At a competition with 7 runners, medals are awarded for first, second, and
third places. Each of the 3 medals is different. How many ways are there to
award the medals?
Decide if this is a permutation or a combination, and find the number of ways
to award the medals.
O
A. Permutation; number of ways = 210
O
B. Combination; number of ways = 210
O
c. Permutation; number of ways = 35
O
D. Combination; number of ways = 35
Answer:
Option A - Permutation; number of ways = 210
Step-by-step explanation:
Given : At a competition with 7 runners, medals are awarded for first, second, and third places. Each of the 3 medals is different.
To find : How many ways are there to award the medals?
Solution :
There are 7 runners but medals are three.
The first runner up got first medal as one is locked.
The second runner up got second medal as second is locked.
The third runner up got the third medal.
So, There is a permutation.
Number of ways to award the medals is [tex]^7P_3[/tex]
We know, [tex]^nP_r=\frac{n!}{(n-r)!}[/tex]
Substitute the values,
[tex]^7P_3=\frac{7!}{(7-3)!}[/tex]
[tex]^7P_3=\frac{7\times 6\times 5\times 4!}{4!}[/tex]
[tex]^7P_3=210[/tex]
Therefore, Option A is correct.
Permutation; number of ways = 210
Write a system of equations and solve using elimination. Ricardo has two bills. The two bills together are $21. One bill is worth $19 more than the other. What are the two bills?
Answer:
The worth of one bill is $20 and the worth of the other bill is $1
Step-by-step explanation:
Let
x----> the worth of one bill
y ---> the worth of the other bill
I assume x > y
we know that
x+y=21 ----> equation A
x=y+19 ---> equation B
Solve the system by elimination
Multiply equation B by -1 both sides
-x=-y-19 ----> equation C
Adds equation A and equation C
x+y=21
-x=-y-19
------------
y=21-y-19
2y=2
y=1
Find the value of x
x=y+19 -----> x=1+19=20
therefore
The worth of one bill is $20 and the worth of the other bill is $1
What is the equation in slope intercept form of the perpendicular bisector of the given line segment?
Answer:
y = -4x - 6
Step-by-step explanation:
The equation of a line in point-slope form.
[tex] y - y_1 = m(x - x_1) [/tex]
is the equation of the line containing point (x1, y1) and having slope, m.
The given point of the perpendicular bisector is (-1, -2), so in this case, x1 = -1, and y1 = -2.
We need the slope of the perpendicular bisector. First we find the slope of the segment. We start at point (-5, -3). We go up 1 unit and 4 units to the right, and we are at another point on the segment. Since slope = rise/run, the slope of the segment is 1/4. The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular bisector is the negative reciprocal of 1/4, so for the perpendicular bisector, m = -4.
Now we use the equation above and our values.
[tex] y - y_1 = m(x - x_1) [/tex]
[tex] y - (-2) = -4(x - (-1)) [/tex]
[tex] y + 2 = -4(x + 1) [/tex]
[tex] y + 2 = -4x - 4 [/tex]
[tex] y = -4x - 6 [/tex]
Answer:
Step-by-step explanation:
y = -4x - 6