Answers
Answer:
12.0 units is the answer
Step-by-step explanation:
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-2))^2 + (1-(-8))^2}\\\\d=\sqrt{(8\\)^2+(9)^2} \\\\d=\sqrt{64+81} \\\\d=\sqrt{145} \\\\d=12.041...[/tex]
Rounding off,
d = 12.0 units
Related Questions
Question 10 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
5
(-3,1)
(0,0)
5
-5
O A. y=-x
O B. y= 3x
O C. y=1
Х
O D. y= x
O E. y=-3x
O F. y = x
Answers
9514 1404 393
Answer:
D. y = -1/3x
Step-by-step explanation:
The line through the origin means the equation will be a proportion of the form y = kx. (You can also see this by looking at the answer choices.) The value of k is ...
k = y/x . . . . . divide the above equation by x
For the given point (x, y) = (-3, 1), the value of k can be seen to be ...
k = 1/-3 = -1/3
Then the equation for the line is ...
y = -1/3x . . . . matches D
If the distance from A (5,6) to B (1, b) is twice the distance from B to
C(1, -3), determine the possible values of b.
Answers
Answer:
The possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
Step-by-step explanation:
From statement we know that [tex]AB = 2\cdot BC[/tex]. By Analytical Geometry, we use the equation of a line segment, which is an application of the Pythagorean Theorem:
[tex]AB = 2\cdot BC[/tex]
[tex]\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}} = 2\cdot \sqrt{(x_{C}-x_{B})^{2}+(y_{C}-y_{B})^{2}}[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.
[tex]y_{A}, y_{B}, y_{C}[/tex] - y-Coordinates of points A, B and C.
[tex](x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2} = 4\cdot (x_{C}-x_{B})^{2}+4\cdot (y_{C}-y_{B})^{2}[/tex]
Then, we expand and simplify the expression above:
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} +x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot (x_{C}^{2}-2\cdot x_{C}\cdot x_{B}+x_{B}^{2})+4\cdot (y_{C}^{2}-2\cdot y_{C}\cdot y_{B}+y_{B}^{2})[/tex]
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} + x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot x_{A}^{2}-8\cdot x_{C}\cdot x_{B}+4\cdot x_{B}^{2}+4\cdot y_{C}^{2}-8\cdot y_{C}\cdot y_{B}+4\cdot y_{B}^{2}[/tex]
If we know that [tex]x_{A} = 5[/tex], [tex]y_{A} = 6[/tex], [tex]x_{B} = 1[/tex], [tex]y_{B} = b[/tex], [tex]x_{C} = 1[/tex] and [tex]y_{C} = -3[/tex], then we have the following expression:
[tex]1 -10 +25 +b^{2} -12\cdot b+36 = 100 -8 +4 +36+24\cdot b +4\cdot b^{2}[/tex]
[tex]b^{2}-12\cdot b +52 = 4\cdot b^{2}+24\cdot b +132[/tex]
[tex]3\cdot b^{2}+36\cdot b +80 = 0[/tex]
This is a second order polynomial, which means the existence of two possible real solutions. By Quadratic Formula, we have the following y-coordinates for point B:
[tex]b_{1} \approx -2.944[/tex], [tex]b_{2} \approx -9.055[/tex]
In consequence, the possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
How many cards are in a standard deck of cards? What are their colors?
Answers
Answer:
52 cards
Step-by-step explanation:
the colors I am not sure of thought sorry
I need help again haha
Answers
Answer:
15⁰
Step-by-step explanation:
a straight line is 180⁰. 180-165=15
Step-by-step explanation:
Since a line is 180°, we can add 165 to x equal to 180
[tex]165+x=180[/tex]
[tex]x=15[/tex]
Hope that helps :)
its very easy just try it
Answers
Answer:
it is biased
Step-by-step explanation:
A train arrives at a station and waits 3.5 minutes before departing. Another train arrives at the station 16 minutes later, repeating the cycle. Identify the probability that a train will not be at the station when you arrive.
Answers
Step-by-step explanation:
so we can safely say that one train will be there for 3.5 minutes and it will be gone for 16 minutes before another train comes and repeats the cycle.
we want how many minutes that the train will not be there over the total time that is possible so that would be
16/(16+3.5)
16/19.5
32/39
Hope that helps :)
The probability of the train not being at the station on arrival would be:
0.82
Find the probabilityGiven that,
The duration for which the train makes = 3.5 minutes
The time at which the second train arrives = 16 minutes later
We know that this cycle is repeated.
The duration for which the train is not there would be:
[tex]= 16/(16+3.5)[/tex]
[tex]= 16/19.5[/tex]
[tex]= 32/39[/tex]
[tex]= 0.82[/tex]
Thus, 0.82 is the probability.
Learn more about "Probability" here:
brainly.com/question/8069952
Suppose tie structural equations of 3 economies are given as: AD = C +10 C =250 + 0.8Y I0 = 200 Find the equilibrium values of Y and C
Answers
Answer:
Step-by-step explanation:
LMAFOOOOOOOOOOOOOOOOOOOOOO
Can someone please give me this answer
Answers
Answer:
42°
Step-by-step explanation:
According to Exterior Angle Theorem,
an exterior angle of a ∆ is equal to the sum of the opposite interior angles.
So,
h+96°=138°
h=138°-96°
h=42°
CAN YOU GUYS PLS HELP WHAT GOES IN EACH BOX ITS OVERDUE :( IM ABT TO FAIL WILL GIVE BRAINLIEST
Answers
Answer:
18 days.
Step-by-step explanation:
Takes 6 days to eat 1 apple so multiply 6 by three to get your answer.
Answer:
18 days
Step-by-step explanation:
since the ratio is 3 days to 1/2 that would mean 6 days is to 1 apple, so if you just multiply 6 days by 3 you would get 18 days because you would need to find how many days for 3 apples.
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450.
What is the interest rate percentage?
Round the answer to the nearest hundredth
Enter your answer in the box.
Answers
Answer:
29.71%
Step-by-step explanation:
The interest rate of the savings account is = 114.3%
Calculation of interest rate percentage of an accountThe start up or principal amount (P) = $181.25
Simple interest after 7 years (SI) = $1450
Time or duration (T) = 7 years
To calculate the rate percentage of interest;
R = SI × 100/P×T
R = 1450 × 100/ 181.25 × 7
R = 145000/1268.75
R = 114.3%
Therefore, the interest rate percentage of the savings account is = 114.3%
Learn more about simple interest here:
https://brainly.com/question/25793394
Consider function f, where B is a real number.
f(x)=tan(Bx)
Complete the statement describing the transformations to function f as the value of B is changed.
As the value of B increases, the period of the function (remains the same, increases, decreases), and the frequency of the function (remains the same, increases, decreases).
When the value of B is negative, the graph of the function (reflects over the y-axis, remains the same, reflects over the x-axis).
Answers
Using the concept of the tangent function, it is found that:
As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.
---------------------------------
Tangent function:
It is given by:
[tex]f(x) = \tan{Bx}[/tex]
The period is [tex]P = \frac{\pi}{|B|}[/tex].The frequency is [tex]F = \frac{1}{P} = \frac{|B|}{\pi}[/tex].---------------------------------
The period is inversely proportional to B, thus, as B increases, the period decreases.Frequency is inversely proportional to the period, thus, as the period decreases, the frequency increases.When B is negative, we get [tex]f(x) = \tan{-Bx} = f(-x)[/tex], thus, the function is reflected over the y-axis, as the graph at the end of the answer shows, with f(x) is red(B positive) and f(-x) in blue(B negative).---------------------------------
Considering the three bullet points above, the correct option is:
As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.
A similar problem is given at https://brainly.com/question/16828446
Answer:
got it right
Step-by-step explanation:
Se mezclan alcohol 54% con alcohol de 90 y agua en la proporcion de 6,6 y "n" .hallar "n" sabien que mezclam es del mismo grado de uno de los ingrediente
Answers
During the flight of a projectile the x component of the velocity is
A.same during its whole journey
B.maximum when it hits the ground
C. Zero at the highest point
D. Maximum when it leaves the ground
Answers
Answer:
D. Maximum when it leaves the ground
Round off 123,546,789 to the indicated degree of precision:
6. to the nearest hundred
7. to the nearest thousand
8. to the nearest ten thousand
9. to the nearest million
10. to the nearest ten million
Answers
Answer:
Keep the number in the place value you are rounding to the same. Increase the number in the place value you are rounding to by 1.
...
Additional Resources
Round the number 227.18 to the nearest ten.
Round the number 856.861203 to the nearest thousandth.
Round the number 599.495 to the nearest tenth.
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
New plants and bushes are to be planted along a path that goes around a park. The shape of the park is shown below. What is the distance around the park?
Answers
Answer:
640
Step-by-step explanation:
Fhekdgjsddjsbsjsnsdbjsndbdksdbjsssnjsbd
look at pic 10 pts will mark brainilest
Answers
Answer:
D
Step-by-step explanation:
It's D because the number of books checked out each hour would have to depend on the amount of people in the library each hour.
Subtract and simplify your answer.
7/18-2/9
Answers
Answer:
Step-by-step explanation:
7/18-2/9=7/18-4/18=3/18=1/6
Answer:
1/6.
Step-by-step explanation:
7/18−2/9=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(7/18, 2/9) = 18
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(7/18×11)−(2/9×22)=?
Complete the multiplication and the equation becomes
7/18−4/18=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
7−4/18=3/18
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 3 and 18 using
GCF(3,18) = 3
3÷3/18÷3=1/6
Therefore:
7/18−2/9=1/6
You start driving north for 8 miles, turn right, and drive east for another 6 miles. At the end of driving, what is your straight line distance from your starting point?
Answers
Answer:
I think you are asking the total distance isn't? The straight line distance from your starting point 14 miles.I've added both miles to get the total distance
Step-by-step explanation:
please if I'm wrong or my answer doesn't match the with the answer's book tell me right away I try another method.
Show your work
2) Is(-3,-7) a solution to
4x – 8y < 24
Show your work
Answers
Answer: false, 44 is not less than 24
Step-by-step explanation:
Substitute-3 for x and -7 for y.
4(-3)-8(-7)<24
-12+56<24
44<24
One shape is approaching a poor from the east traveling west at 15 mph and its presently 3 miles east east of the port I second ship is already left the poor traveling to the north at 10 mph and is presently 4 miles north of the port at this instant what is the rate of change of distance between the two ships are they going to close your more for their apart
Answers
Answer:
DL/dt = 17 mph
Step-by-step explanation:
The ships and the port shape a right triangle
Ship going west ( x-direction) is traveling at 15 mph
Ship going north (y-direction) is traveling at 10 mph
The distance L between ships is:
L² = x² + y²
Tacking derivatives on both sides of the equation with respect to time
we get
2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt (1)
In that equation we know:
Dx/dt = 15 mph
Dy/dt = 10 mph
At the moment ship traveling from the east is at 3 miles from the port
then x = 3 m and the other ship is at 4 miles north
then by Pythagoras theorem
L = √ 3² + 4² L = 5
By substitution in equation 1
2*5*DL/dt = 2*3*15 + 2*4*10
10* DL/dt = 90 + 80
DL/dt = 170 / 10
DL/dt = 17 mph
Which expressions are equivalent?
3x-7y and -7y+3x
3x-7y and 7y-3x
3x-7y and 3y-7x
3x-7y and -3y+7x
Answers
Answer:
first one
Step-by-step explanation:
Because the coefficient of x is 3 and coefficient of y is-7
Answer:
A
Step-by-step explanation:
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answers
Answer:
1. Supplementary angles
2. alternate exterior
3. verticle angles
4. alternate interior
The box matches the numbers. 1 is the answer in the first box, and so on.
Let me know if you have any questions
A 2018 poll of 3603 randomly selected users of a social media site found that 1697 get most of their news about world events on the site. Research done in 2013 found that only 45% of all the site users reported getting their news about world events on this site. a. Does this sample give evidence that the proportion of site users who get their world news on this site has changed since 2013
Answers
Answer:
Reject H0; there is significant evidence that the proportion of site users who get their world news on this site has changed since 2013 and is significantly different from 45%
Step-by-step explanation:
Sample size, n = 3603
x = 1697
Phat = x/n = 1697/3603 = 0.4709 =47.09%
H0 : p = 0.45
H1 : p > 0.45
The test statistic :
(phat - p) / sqrt[(p(1 - p)) /n]
(0.4709 - 0.45) / sqrt[(0.45(0.55))/3603]
0.0209 / 0.00828810932
Test statistic = 2.5217
The Pvalue :
Using the Pvalue from Test statistic calculator ; α = 0.05 ;
Pvalue at 95% confidence = 0.005839
Pvalue < α ;
Hence, we reject the Null
Therefore, we conclude that the sample gives evidence that the proportion of site users who get their world news on this site has changed since 2013.
14^-3 x 14^12
positive exponents
Answers
Answer:
20661046784
Step-by-step explanation:
I couldn't get the pos exponent but hopefully this helps
help me u get brainliest plus more points :D
Answers
Answer:
6 is 56.25
7 is 97.50
Step-by-step explanation:
can someone help me answer these two questions i will give you brainliest
Answers
2) vertical
Find the distance between (9, 0) and (6, -8)
Answers
Answer:
[tex]\sqrt{73}[/tex] units (or about 8.5 units, rounding to the nearest tenth)
Step-by-step explanation:
To find the distance between a pair of points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (9,0) and (6,-8) into the formula and simplify:
[tex]d= \sqrt{(9-6)^2+(0+8)^2} \\d = \sqrt{(3)^2+(8)^2}\\d = \sqrt{9+64} \\d = \sqrt{73}[/tex]
So, as an exact answer, the distance is [tex]\sqrt{73}[/tex] units.
To find the decimal approximation of that, put that value into a calculator. So, rounding to the nearest tenth, [tex]\sqrt{73}[/tex] is about 8.5 units.
A fruit basket is filled with eight bananas, three oranges, five apples, and six Keewee ‘s.
Answers
Answer:
A. bananas
Step-by-step explanation:
6-3= 3
8-4= 4
3-3= 0
4-4= 0
Enter your answer in the box.
Find the value of the expression 4d - C + 3 when c = 3 and
d = 6.
Answers
Answer:
4d - c + 3
4(6) - 3 + 3
24 - 3 + 3
24
Step-by-step explanation:
24
Hope this helps :T
QUICK HELP with the Image below
Answers
Answer:
12 8/11
Step-by-step explanation:
hope it helps you