Answer:
The distance between F and A is approximately 6.71 units.
Step-by-step explanation:
To find the distance between any two points, we can consider using the distance formula. Recall that:
[tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Let F(-2, 1) be (x₁, y₁) and A(4, -2) be (x₂, y₂).
Substitute and evaluate:
[tex]\displaystyle \begin{aligned} FA &= \sqrt{((4) - (-2))^2 + ((-2) - (1)^2} \\ \\&=\sqrt{(6)^2 + (-3)^2} \\ \\&=\sqrt{36 + 9} \\ \\ &= \sqrt{45} \\ \\ &= 3\sqrt{5}\\ \\&\approx 6.71\text{ units} \end{aligned}[/tex]
In conclusion, the distance between F and A is approximately 6.71 units.
Solve the quadratic equation 3x²-5x=7
Give answer to 3 significant figures
Answer:
2.57
Step-by-step explanation:
3x²-5x-7=0
Eqn and u will get the answer
please help me im being timed
Find the inverse of the function:
f(x)=−4x+8
Answer:
(x) = -x/4+2
Step-by-step explanation:
Inverse the function, so swap the places of x and y
x = -4y + 8
Then solve for y
x - 8 = -4y
-x/4 + 2 = y
y = -x/4 + 2
g(x) = -x/4+2
4 units to the left of -4 is
Answer:
-8
Step-by-step explanation:
If you were to do integer operations, then this question algebraically would mean -4-4=-8 because going to the left on a number line is meaning subtraction/negative and going to the right is addition/positve!
Therefore, the answer is -8 :)
please how do I find the answer
Answer:
7 of it is 12
Step-by-step explanation:
you have to plus the top ones
I need help pls, I don’t understand!
Answer:
(4,-3)
Step-by-step explanation:
A rotation is when we move a point based on a point of a fixed point called the center. For example, a clock. A clock rotated it's hand around the middle part of the clock.
A 180 degree rotation negate a point if rotated about the origin. 180 degree rotation counter or clockwise doesn't matter when we rotate about the origin. In other words. they are the same.ONLY WHEN WE ROTATE 180 OR 360 degrees.
The rotation formula when rotating 180 degrees is
[tex](xy)[/tex]
goes
[tex]( - x )(- y)[/tex]
In other words, we negate both points to find our new coordinates.
-(-4)=4 and
-3=-3
So our new point is
(4,-3)
Please help me ASAP
Answer the question please
-91.81 as a mixed number.
Answer: [tex]-91\frac{81}{100}[/tex]
Step-by-step explanation:
PLS HELP I Would really appreciate it
Step-by-step explanation:
0.376
(In expanded form)
= 0 × 1 + 3 × 1/10 + 7 × 1/100 + 6 × 1/1000
Answer:
0 × 1 + 300 × 1/10 + 70 × 1/100 + 6 × 1/1000
What is 24 divided by 3072
Answer:
I might think 124 is the answer
Answer:
128
Step-by-step explanation:
attached..........
The speed of light is approximately 300,000 kilometers per second. How many miles does light travel in an hour?
Answer:
671080887.6
Step-by-step explanation:
1 second = 300,000km
3600 seconds = 3600 x 300,000 = 1080000000 km then convert to miles
is 671080887.6
A sequence has the recursive definition of f(1)=2/3, f(n)=f(n-1)×3/2 for n≥2
Right the first five terms of the sequence
Leave answers as fractions
Answer:
Step-by-step explanation:
[tex]f(1)=2/3\\f(2)=f(1)\times (3/2)=(2/3)\times(3/2)=1\\f(3)=f(2)\times (3/2) = 1\times (3/2) = 3/2\\f(4)=f(3)\times (3/2) = (3/2)\times (3/2) = 9/4\\f(5)=(f(4)\times (3/2) = (9/4)\times (3/2) = 27/8[/tex]
So the first five terms are 2/3, 1, 3/2, 9/4, 27/8.
The first five terms are 2/3, 1, 3/2, 9/4, and 27/8 if the f(1)=2/3, and f(n) = f(n -1)×(3/2); for n ≥ 2.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
It is given that:
f(1)=2/3,
f(n) = f(n -1)×(3/2); for n ≥ 2
Plug n = 2
f(2) = f(2 -1)×(3/2)
f(2) = f(1)×(3/2)
f(2) = (2/3)(3/2)
f(2) = 1
Similarly;
f(3) = 3/2
f(4) = 94/
f(5) = 27/8
The first five terms are 2/3, 1, 3/2, 9/4, and 27/8.
Thus, the first five terms are 2/3, 1, 3/2, 9/4, and 27/8 if the f(1)=2/3, and f(n) = f(n -1)×(3/2); for n ≥ 2.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ2
Help me!! please answer this question with explanation.
0.0000679 in scientific notation
[tex]6.79 \times 10 {}^{ - 5} [/tex]
Answer: 6.79×10^-5
Step-by-step explanation:
In order to write the given value in scientific notation, we have to bring the decimal point after the first non-zero digit.
So it will become 6.79
Now for the zeros that have been removed we represent them in the form 10^-5.
And it is -5 because we have removed the zeros from the left side of the value. The 10^-5 indicates that we have to move "five points" to the "left side" to get the original value again.
So it is first, 0.0000679
(we make the decimal point jump across four zeros to the right side and then across the 6 which is the first non zero digit, that is 5 jumps in total as indicated by the 10^-5)
Then it becomes:
6.79×10^-5
Which point represents the opposite of -2?
Answer:
2
Step-by-step explanation:
r^2p÷5 ; p = -5, r = - 5
Answer:
=-5^2×(-5)÷5
=25×(-5)÷5
=-125÷5
=-25
help please, I can't figure these kinds of problems out, and I've just been having a hard time with them.
A water pipe has an outside diameter of 1 1/4 inches and a wall thickness of 5/16 inches. what is the inside diameter of the pipe?
Answer:
Step-by-step explanation:
There's a small trick here. You have to double the thickness. Why? Because the outside diameter goes through the thickness twice.
Inside diameter = outside diameter - 2 * thickness
outside diameter = 1 1/4 inches
thickness = 5/16
Inside diameter = 1 1/4 - 2 * 5/16
inside diameter = 5/4 - 10/16
Inside diameter = 5/4 - 5/8
Inside diameter = 10/8 - 5/8
Inside diameter = 5/8
Hhelp pls lol i don't understand
Answer:
m∠1= 80
m∠2= 100
m∠3= 80
Step-by-step explanation:
Given: m∠1= 2x +40
m∠2= 2y +40
m∠3= x +2y
m∠1 +m∠2= 180 (adj. ∠s on a str. line)
2x +40 +2y +40= 180
2x +2y+ 80= 180
2x +2y= 180 -80
2x +2y= 100
2(x +y)= 100
x +y= 100 ÷2
x +y= 50 -----(1)
m∠1= m∠3 (vert. opp. ∠s)
2x +40= x +2y
2x -x +40= 2y
x= 2y -40 -----(2)
Substitute equation (2) into (1):
2y -40 +y= 50
3y= 50 +40
3y= 90
y= 90 ÷3
y= 30
Substitute y= 30 into equation (2):
x= 2(30) -40
x= 60 -40
x= 20
m∠1
= 2x +40
= 2(20) +40
= 40 +40
= 80
m∠2
= 2y +40
= 2(30) +40
= 60 +40
= 100
m∠3
= x +2y
= 20 +2(30)
= 20 +60
= 80
Alternatively, since m∠1= m∠3,
m∠3
= m∠1 (vert. opp. ∠s)
= 80
What is this? I don’t know the answers plz help
Answer:
a.
Step-by-step explanation:
Not defined
May be iylt help you
Answer:
C
Step-by-step explanation:
Matrices can be multiplied together if the number of columns in the first matrix equals the number of rows in the second matrix.
A is of order (3 × 2) and B of order (2 × 3 )
Since the 2 in the first and the 2 in the second match , the matrices can be multiplied
The resulting matrix is of order (3 × 3 )
This is obtained from the first 3 in order of A and the second 3 in order of B
Then AB is defined and the resultant matrix is of order 3 × 3
Name 3 planes parallel to FL
Answer:
I have answered. it is perfect answer
Round the mixed number to the nearest whole or half.
8 4/27 this is a mixed number ok
PLEASE HELP
Answer:
8 jzhwwh8qoqqnsnwuwjwjqj
please help timed this time i actually added picture
which exponential function is represented by the values in the table?
f(t)=3t, g(t)=4t-4 find f(t)+g(t)
Answer:
7t - 4
Step-by-step explanation:
f(t) + g(t)
= 3t + 4t - 4 ( collect like terms )
= 7t - 4
Find f(t) t g(t)
Replace values
3t + 4t - 4
Solve for t
3t + 4t = 7t
Organize values
7t - 4
Answer = 7t - 4
Type the integer that makes the following division sentence true:
55 ÷ = –5
Hurry up someone please
Answer:
x = 19.6
Step-by-step explanation:
If we need to find the value of x then first we need to
(7x-25) + (3x +9) = 180 (angles at the same side of transversal will be equal to 180 degree )
10x -16 = 180
10x = 180 +16
10x = 196
x = 196/10
x = 19.6
Please answer this question. Identify the domain and the range of the function, when the functions are (1,0), (3,1), (5,2), (7,3), (9,4). Thank you!
Step-by-step explanation:
the Domain of the function
=> Df ={1, 3, 5, 7, 9}
the Range of the function
=> Rf ={0, 1, 2, 3, 4}
Domain
set of x values
{1,3,5,7,9}Range
set of y values
{0,1,2,3,4}Question in image, please help
Answer:
34 degrees
Step-by-step explanation:
the verical angle theorem says any two angles opposite of each other from intersecting lines have the same angle
PLSSSS HELPPP ITS DUE TODAYYY!!!!!
A ball pit is filled with blue, red and yellow balls as shown in the photo. You reach in and randomly select one ball. Estimate the probability of this ball being yellow
Step-by-step explanation:
In my opinion I would say about 40% Because you can see 7 red balls on the top and 6 on the bottom. Hope This Helps.
[tex]f(x)=x^{4} -x^{3} -7x^{2} +10+5x[/tex]
1. write in standard form
2. use Descartes rule of sign
3. possible roots
4. first synthetic division
5. reconsider possible roots
6. second synthetic division
7. quadratic equation
8. solution set
find the distance between the points (3, 7) and (2, 6)
Answer:
1.414214
Step-by-step explanation:
I think this is right lol.
