The equation of a line so that it is perpendicular to a given point will be
y-y0=[tex]\frac{-1}{m}[/tex] (x - xo)
The equation of a line so that it is perpendicular to a given point will be
y-y0=m (x - xo)
The standard equation of the line is better written in point-slope form expressed as:
y-y0=m(x - xo)
where: m is the slope of the given line (x0, y0) is any point of the giuven line.
m is the slope of the given line
(x0, y0) is any point on the given line
If the given slope of the line is m, the slope of the line perpendicular will be expressed as -1/m
The equation of a line so that it is perpendicular to a given point will be
y-y0=[tex]\frac{-1}{m}[/tex] (x - xo)
What is the distance between -10 and 17 on the number line?
Find the difference:
17 - (-10) = 27
So the distance between 17 and -10 is 27.
Answer: 27
Step-by-step explanation:
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Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:
Step-by-step explanation:
As promised I I will be doing 100 points now please do NOT do anything that is not pertaining to the picture
Need help ASAP on #22 please!! Just #22. I couldn't take a proper picture of it because my hand was too shaky and I'm using P.C.
Giving Brainliest to a person who gets it right. I need an answer ASAP! This is my last question.
Define a equilateral triangle
Answer:
All sides are equal
Step-by-step explanation:
Think: equilateral is equal so this must mean that something on the triangle has to be all equal.
ABCD has vertices A(4, 0), B(0, 4), C(–4, 0), and D(0, –4). Determine whether ABCD is a rectangle, rhombus, or square. List all that apply.
Step-by-step explanation:
let's consider BA and CD as one pair of sides, and CB and DA as the second pair of sides.
the slope BA = -1
as x changes +4 (from 0 to 4), and y changes -4 (from 4 to 0).
the slope of CD = -1
as x changes +4 (from -4 to 0) and y changes -4 (from 0 to -4).
so, both lines are indeed parallel.
the slope CB = +1
as x changes +4 (from -4 to 0) and y changes +4 (from 0 to 4)
the slope of DA = +1
as x changes +4 (from 0 to 4) and y changes +4 (from -4 to 0)
so, these 2 lines are also parallel to each other and perpendicular to the first 2 lines (x and y in the slope ratio upside-down, and the sign is flipped).
therefore, we have only 90° angles here.
and the sums of the x and y coordinate differences are the same for every side, so all sides are equally long.
therefore, this is a square.
and with that it is automatically also a rectangle and a rhombus.
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Answer:
ngee hirap Naman niyan sayang
How does a domain restriction placed on a non-invertible function affect its inverse? Drag a function or an interval into each box to correctly complete the statement. When the domain of the non-invertible function f(x)=(x+1)^2−3 is [−1,∞), the inverse of the function is Response area, and the domain of the inverse function is
Using inverse function concepts, it is found that:
The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].A function will have an inverse if for each output, there is only one respective input.The domain of the inverse is the range of the original function.The function given is:
[tex]f(x) = (x + 1)^2 - 3[/tex]
It's range is [tex][-3, \infty][/tex], which will be the domain of the inverse.To find the inverse, we exchange x and y, and isolate y, then:
[tex]y = (x + 1)^2 - 3[/tex]
[tex]x = (y + 1)^2 - 3[/tex]
[tex](y + 1)^2 = x + 3[/tex]
[tex]\sqrt{(y + 1)^2} = \sqrt{x + 3}[/tex]
[tex]y + 1 = \sqrt{x + 3}[/tex]
[tex]y = \sqrt{x + 3} - 1[/tex]
The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].
A similar problem is given at https://brainly.com/question/13160937
Answer:
Step-by-step explanation:
PLEASE HELP!!! TRIG
The three solutions of the equation
f(x)=0 are 0°, 180°, and 360°.
Therefore, the three solutions of the equation f(x-30°)=0 are:
Answer:
30°, 210°, 390°
Step-by-step explanation:
Given
f(x ) = 0 has solutions 0°, 180°, 360° , then
f(x - 30) = 0
Add 30° to each of the solutions of f(x) = 0
(0 + 30)° = 30°
(180 + 30)° = 210°
(360 + 30)° = 390°
A 6 character computer password is made up of 4 numbers followed by 2 letters. How many different passwords are possible? a. 810,000 b. 3,276,000 c. 6,500,000 d. 6,760,000 Please select the best answer from the choices provided A B C D.
The number of different possible passwords possible is 6760000
This is a question is the application of permutation. Permutation has to do with the arrangement.If a computer consists of 6 character computer password that is made up of 4 numbers followed by 2 letters, the total digits and letters present are 6The number of ways the passwords are possible is 10^4 * 26^2
10^4 * 26^2= 10000 * 676
10^4 * 26^2 = 6760000
Hence the number of different possible passwords possible is 6760000
Learn more on permutation here: https://brainly.com/question/25500566
Answer:
its D
Step-by-step explanation:
A gym has yoga classes. Each class has 13 students. If there are c classes, write an equation to represent the total number of students s taking yoga.
Rosanne is making a swirled pudding dessert to bring to her friend's barbecue. She mixes
chocolate and vanilla pudding in a large bowl for the adults. Then, she decides to make a smaller
portion for the kids. In a small bowl, Rosanne mixes half the amount of chocolate pudding and half
the amount of vanilla pudding. Which bowl of pudding is more chocolaty?
Answer:
None of the bowls
Step-by-step explanation:
It's because the amount of chocolate and vanilla in the pudding is the same,
which is why both are chocolatey; none are more chocolatey
Answer:
none
Step-by-step explanation:
I need help with this is dont really understand it
Answer:
y = 10x + 6.
Step-by-step explanation:
y = mx + c
Here the slope m = 10 and c = 6 ( the y-intercept)
It's 6 because the point (0, 6) lies on the y-axis (where x = 0).
167<6+7(2+7r)
what is it please help
Answer:
3 < r
Step-by-step explanation:
167<6+7(2+7r)
distribute the 7 to the 2 and 7r
7 * 2 = 14 and 7 * 7r = 49r
167 < 6 + 14 + 49r
combine like terms: 6 + 14 = 20
167 < 20 + 49r
subtract 20 from both sides
147 < 49r
divide both sides by 49
3 < r
Ivan is taking a 179 mile trip by car.If he drives for two hours with an average speed of 65 miles per hour, how many miles will he still need to drive to complete his trip?
Answer:
you should take notes
Step-by-step explanation:
why you should know this your teacher probally already taught you this already you should go back and take notes = )
Determine if the graph represents a linear function, quadratic function, or exponential function.
Group of answer choices
Exponential
Linear
Quadratic
Answer:
Step-by-step explanation:
Answer:
quadratic function
Step-by-step explanation:
y=(x-1)²-3
The larger angle measures?
The smaller angle measures?
Answer:
Larger angle: 104 degrees
Smaller angle: 76 degrees
Step-by-step explanation:
(9x+5) + (6x+10) = 180
x = 11
Subtract
-
Iw +
W + 4 from įw + 3
1w -
- 1
- 1w + 1
1w7
w + 7
- 1w + 7
aro
Answer:
what grade are u in so I know
The Thomas family budgeted 8% of their annual disposable income of $32,725 on clothes. Vincent was allowed 22% of the amount budgeted. How much can Vincent spend annually on clothes?
A. $575.96
B. $2,618.00
C. $599.96
D. $340.88
Answer:
so first you add something and then subtract and then divide then you er butf then youcan see toplod ej
write this equation in slope intercept form
(4, -3) (2, -9)
Answer:
[tex]y=3x-15[/tex]
Step-by-step explanation:
[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-3)}{2-4}=\frac{-6}{-2}=3[/tex]
[tex]y=3x+b[/tex]
[tex]-3=3(4)+b[/tex]
[tex]-3=12+b[/tex]
[tex]-15=b[/tex]
[tex]y=3x-15[/tex]
[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-3),~\text{and}~ (x_2,y_2) = (2,-9)\\\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-9+3}{2-4} = \dfrac{-6}{-2} = 3\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-3) = 3(x-4)\\\\\implies y+3 = 3x -12\\\\\implies y = 3x -12 -3 \\\\\implies y = 3x -15\\\\\textbf{This is the slope - intercept form(y = mx +b), where m =3 and b =-15.}[/tex]
Hannah completed 40 problems in 32 minutes.
Put in a unit ratio
Answer: 1.25 problems/min and in ratio it is 1.25/1
We can keep the rate as problems/min
So, in 32 mins Hannah can complete 40 problems.
32 mins --> 40 problem
1 min --> 40/32
--> 1.25
So, 1.25 problems can be created per minute.
solve one step equation
x/-2 = -3
Answer:
x=6
Step-by-step explanation:
x/-2=-3
*-2 *-2
x=6
-hope it helps
evaluate if r=12 s= -4 t= -6
8-r/-2
Answer:
8-r/-2
8-12/-2
-4/-2
2
This is the answer
I think this will help you
Which of the following solution sets represent the inequality 3-1/2x>10?
[tex]3- \dfrac 12 x >10\\\\\implies - \dfrac x 2> 10 -3\\\\\implies -\dfrac x 2 >7\\\\\implies -x > 14\\\\\implies x<-14\\\\\text{Interval solution,}~ (-\infty,-14)[/tex]
Gordon types 2,584 words in 38 minutes.
Answer:
Gordon types 68 words per minute
Step-by-step explanation:
2584/38=68
Mike and Andy are each reading the same book. Mike read 2/4 of the book on Tuesday and 1/3 of the book on Wednesday. Andy read 1/2of the book on Tuesday and 1/5of the book on Wednesday.
Andy says that altogether he read more of the book on Tuesday and Wednesday than Mike.
Is Andy correct?
0.3(y+2)=1.7+(8-y) solve the following equation
Answer:
y = 7
Step-by-step explanation:
0.3y+0.6 = 9.7 - y
0.3y+y = 9.7 -0.6
1.3y = 9.1
y= 7
sorry it had an error
Functions f(x) and g(x) are define below.
f(x) = -sqrt x+2-3
g(x) = -2|x-3|+4
determine where f(x) = g(x) by graphing.
Answer:
slope:1
y-intercept:(0,0
Answer:
x = -1 and x = 8.1
See image
Step-by-step explanation:
If you are allowed to use your graphing calculator, the directions "solve by graphing" means to graph the equations and look for the points where the two graphs intersect (cross) or if allowed, use an online graphing utility such as Desmos. It is really useful. If you may not use a calculator or desmos, then sketch a graph of the functions. Using transformations can help you sketch a graph fairly quickly. You should be memorizing the shape of the graph in its simplest form
y=sqrt x
And
y=|x|
Transformations then reflect, shrink or stretch, and shift sideways or up or down the graph. This is only if you're not allowed to graph it using technology. Remember that the solution is where the graphs cross. ...a little bit tricky: the answers only give the x value instead if two ordered pairs.
Given f(x) = 3x^2 + 2x – 1 and g(x) = 4x-5 find ( g of f) (-2)
Answer:
23
Step-by-step explanation:
Evaluate f(- 2) then substitute the value obtained into g(x)
f(- 2) = 3(- 2)² + 2(- 2) - 1 = 3(4) - 4 - 1 = 12 - 5 = 7 , then
g(7) = 4(7) - 5 = 28 - 5 = 23
[tex]\text{Given that,}\\\\f(x) = 3x^2 +2x -1\\\\f(-2)=3(-2)^2 +2(-2) -1 = 12-4-1=7\\\\g(x) = 4x -5\\\\\text{Now,}\\\\(g \circ f) (-2)\\\\=g(f(-2))\\\\=g(7)\\\\=4(7)-5\\\\=28-5\\\\=23[/tex]
Scuba Steve dove to -20 meters to view the coral. He then ascended 12 meters before he paused to take in the sights of the beautiful fish. At what depth did he pause to see the fish? Write your answer as an integer.
Answer:
-8
Step-by-step explanation: