The endpoint coordinates of AB are A(2, -10) & B(12, 5). Find the coordinates of the point that is 2/5 from A to B.
Answers
Step-by-step explanation:
Find the distance between points A and B by the formula:[tex]\large \boldsymbol {\sf D=\sqrt{(x_1-x_2)^2+(y_1+y_2)^2} }[/tex] [tex]\large \boldsymbol{} \sf D=\sqrt{(2-12)^2+(-10-5)^2} =\sqrt{100+225} =\boldsymbol {\sqrt{325}=5\sqrt{13} }[/tex] By the condition we are told to find 2/5 the distance between points A and B [tex]\sf \large \boldsymbol {} \dfrac{2}{5} \cdot D=5\sqrt{13} \cdot \dfrac{2}{5} =\boxed{\sf 2\sqrt{13}}[/tex] We can also find the distance between them through the Pythagorean theorem we will complete a right triangle AB²=AC²+BC² AB=√AC²+BC² Where AC=10 ; BC=15 AB=[tex]\boldsymbol {\sf \sqrt{15^2+10^2}=\sqrt{325}=5\sqrt{13} }[/tex] Then 2/5* AB=2[tex]\sqrt{13}[/tex]
Related Questions
A computer selects a number
X
X
from 4 to 11 randomly and uniformly. Round all answers to 4 decimal places where possible.
What is the distribution of
X
X
?
X
X
~ U(,)
Suppose that the computer randomly picks 35 such numbers. What is the distribution of
¯
x
x
¯
for this selection of numbers.
¯
x
x
¯
~ N(,)
What is the probability that the average of 35 numbers will be less than 7.9?
Answers
Answer:
22.5
Step-by-step explanation:
The required Distribution, selection and probability is X to U(4,11), x to N (7.5, 0.3415) and 0.87932 respectively.
(a) Distribution of X is uniform distribution X to U(4,11).
(b) Sample size (n) = 35, distribution of mean would be moderate with value = (4+11)/2 = 7.5
Standard deviation = √ [(11-4)^2/(12*35] = 0.3415
Now
x to N (7.5, 0.3415)
(c) We have to find probability that the average of 35 numbers will be less than 7.9.
P(x < 7.9) = P(x < 7.9; 7.5; 0.3415)
Z = (7.9 -7.5)/0.3415
Z = 1.1713
P(x< 7.9)= P(Z < 1.1713)= 0.87932.
Thus, The required Distribution, selection and probability is X to U(4,11), x to N (7.5, 0.3415) and 0.87932 respectively.
Learn more about probability here:
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x^2 - 6x + 1 = 0 by completing the square
Answers
Answer:
See below.
Step-by-step explanation:
x^2 - 6x + 1 = 0
x^2 - 6x = -1
We halve the coefficient of x (which is -6/2 = -3) and square it, then add this to both sides:-
x^2 - 6x + (-3)^2 = -1 + (-3)^2
x^2 - 6x + 9 = -1 + 9
(x - 3)^2 = 8
x - 3 = ±√8
x = 3 ± √8
= 0.17, 5.83 to 2 decimal places.
Answer:
[tex]x = - 2 \sqrt{2} + 3 \\ or \\ x = 2 \sqrt{2 } + 3[/tex]
Between which two consecutive whole numbers can we find 96−−√?
A.7 and 8
B.8 and 9
C.9 and 10
Answers
Hoped it helped (:
the angle measures of a triangle are in the ratio 5:6:7. find the angle measures of the triangle
Answers
Answer:
50°, 60°, 70°
Step-by-step explanation:
Sum the parts of the ratio, 5 + 6 + 7 = 18 parts
The 3 angles in a triangle sum to 180° , then
180° ÷ 18 = 10° ← value of 1 part of the ratio, then
5 parts = 5 × 10° = 50°
6 parts = 6 × 10° = 60°
7 parts = 7 × 10° = 70°
The angle measures of the triangle are 50° , 60° , 70°
DOES ANYONE KNOW THIS ONE?
Answers
Answer:
no sorry
Step-by-step explanation:
Find the measure of the missing angles.
98°
с
b
Answers
Explanation: Angle of a straight trine adds up to 180 degrees
180 - 98 = 82
Angle b and c are vertical angles, so they have the same measure.
Answer:
196
Step-by-step explanation:
a- 98
b-196
c-196
d=98
add 98+98=196
PLEASEE HELP
In the diagram below, AB and CB each have a length of 5 centimeters. If m<A=6(x-3) and m<C=4(x+1), determine the value of each angle of the triangle.
Answers
Considering that angles A and C are equal, and the sum of the internal angles of a triangle is 180º, we have that:
The measure of angle A is of: 48º.
The measure of angle B is of: 84º.
The measure of angle C is of: 48º.
-----------------------------
Segments AC and CB have the same length, thus, angles A and C have the same measure, and then:[tex]6(x - 3) = 4(x + 1)[/tex]
[tex]6x - 18 = 4x + 4[/tex]
[tex]2x = 22[/tex]
[tex]x = \frac{22}{2}[/tex]
[tex]x = 11[/tex]
[tex]6(11 - 3) = 6(8) = 48[/tex]
The measure of angle A is of: 48º.
The measure of angle C is of: 48º.
The sum of the internal angles of a triangle is of 180º, and this is used to find the measure of angle B.
[tex]mA + mB + mC = 180[/tex]
[tex]2(48) + mB = 180[/tex]
[tex]mB = 84[/tex]
The measure of angle B is of: 84º.
A similar problem is given at https://brainly.com/question/13216436
what is 523,278,and 351 .Estimate the total
Answers
Answer:
Your weight...
Step-by-step explanation:
What is the value of |15-2|.
Answers
Hello! The l l notation indicates "absolute value"
Keep in mind that the absolute value is always positive. The absolute value is the distance from zero. The distance is never negative.
So
l15-2l=l13l=13
I hope this helps you!
[tex]GraceRosalia :) :) :)[/tex]
guess my age and ill make you brianlest 2007 8 14
Answers
Answer:
15 or 16
is it? I dont know
Answer:
14 year old
Step-by-step explanation:
8 14 2007
can you pls help me
Answers
Answer: Again a help.
I need help asap
write an inequality that represents the graph .
Answers
Answer:
x ≤ -5
-5 is the point and the point is filled and pointing to the left so it's less than or equal to
The point starts on -5 and goes to the left so it would be x <= -5
someone please help me
Answers
Answer:
that's an angle bisector my man
Corresponding Angle is the answer
six less than twice a number x is 38 whats the value ofx
Answers
Answer:
x=22
Step-by-step explanation:
We would do the opposite so "six less" we would add 6 to 38. 6+38= 44 and "twice a number" we would divide by 2. 44 /2= 22. So the answer would be 22.
Hope this helps! :)
Answer:
Answer is 22
Step-by-step explanation:
38+6=44
44 ÷ 2= 22
:)
Help me I need help on problem 6
Answers
Answer:
Mega-cleaner
Step-by-step explanation:
cleaner per quart. Per means to divide.
Solve for clean-all
[tex]1 \frac{1}{2} \div 2[/tex]
convert from a mixed number to an improper fraction. 2 x 1 + 1 = 3/2. make 2 a fraction 2/1
[tex] \frac{3}{2} \div \frac{2}{1} [/tex]
keep chang flip
[tex] \frac{3}{2} \times \frac{1}{2} [/tex]
multiply
[tex] \frac{3}{4} [/tex]
Mega -cleaner
[tex]3 \frac{1}{2} \div 4[/tex]
make an improper fraction and make 4 a fraction
[tex] \frac{7}{2} \div \frac{4}{1} [/tex]
keep change flip
[tex] \frac{7}{2} \times \frac{1}{4} [/tex]
multiply
[tex] \frac{7}{8} [/tex]
compare 3/4 and 7/8. find common denominators which is 8. change 3/4 to 8ths by multiplying by 2
[tex] \frac{3}{4} \times \frac{2}{2} = \frac{6}{8} [/tex]
7/8 is bigger than 6/8
numbers between 1/10 and 4/5?
Answers
I believe your answer is 2/10,3/10,4/10,5/10,6/10,7/10.
4/5 can be converted to 8/10 by multiplying the denominator and the numerator by 2 so the new numbers are 1/10 and 8/10 the numbers that are between that are 2/10,3/10,4/10,5/10,6/10,7/10.
1
Select the correct answer.
What is the solution for t in the equation?
It - t = 2
=
.
t =
7
30
A. B.
t
11
O C.
t = 6
OD.
30
Answers
Rewrite each number without using an exponent.
5. 5 to the second power
6. 12 to the second power
7. 4 to the third power
8. 6 to the 1st power
9. 4 to the 2nd power
10. 100 to the 1st power
Answers
5. 25
6. 144
7. 64
8. 6
9. 16
10. 100
5. 5 x 5
6. 12 x 12
7. 4 x 4 x 4
8. 6 x 1
9. 4 x 4
10. 100 x 1
I hope this helps
which units in the metric system are used to measure distance?
Answers
Answer:
In the metric system of measurement, the most common units of distance are millimeters, centimeters, meters, and kilometers.
I think it is right ...
what the power a when 5^a = 1/125
Answers
Answer:
a = -3
General Formulas and Concepts:
Algebra I
Solving Exponential EquationsExponential Property [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle 5^a = \frac{1}{125}[/tex]
Step 2: Solve for a
Rewrite: [tex]\displaystyle 5^a = \frac{1}{5^3}[/tex]Rewrite [Exponential Property - Rewrite]: [tex]\displaystyle 5^a = 5^{-3}[/tex]Set: [tex]\displaystyle a = -3[/tex]order -.48, -.47, -.45, -.46 from least to greatest pls
Answers
Answer:
-0.48, -0.47, -0.46, -0.45
Step-by-step explanation:
Initially, you may think to put -0.45 as the least value out of the four. However, we are dealing with negatives. This changes the way we order the numbers.
Here's what you need to know:
The closer a negative number is to 0, the greater it is. The farther a negative number is to 0, the less it is. For instance, -1 is a lot closer to being a positive number as opposed to -14.
Now, you apply that concept to this question.
-0.45 is the greatest since it is closer to 0 than -0.48!
I hope you find this helpful :D
5a+3a-4=36
Somebody please answer this
Answers
Answer:
a=4
Step-by-step explanation:
combine like terms
8a-4=36
add on both sides
8a-4+4=36+4
8a=32
divide
a=32/8
a=4
Answer:
a = 5
Step-by-step explanation:
5a+3a = 8a
8a - 4 = 36
8a - 4 + 4 = 36 + 4
8a = 40
a = 40 divied by 8
a = 5
What is the value of 32.5 ÷ 4.5 × − 4.5 , written as a decimal?
giving brainly
Answers
Answer:
-32.5 hope this helps:)
The 4.5 both cancel each other out
A)
The car accelerates for 10 seconds
B)
The car moved forward at a constant speed for 6 seconds before moving
backwards
The car accelerated for 6 seconds and continued at a constant speed
D)
The car moved forward at a constant speed for 6 seconds and then stopped
moving suddenly
Answers
Answer:
C The car accelerated for 6 seconds and continued at a constant speed
45 points!!!
Which pair or pairs of polygons are congruent?
O A.
3 and 4
OB.
1 and 3
OC.
1, 3, and 4
OD
2, 3, and 4
OE.
1. 2. 3. and 4
Answers
Answer:
E. 1, 2, 3 and 4Step-by-step explanation:
If you look carefully, you will see that all pairs are congruent.
They have all corresponding sides equal and all corresponding angles equal too.
They would overlap after rotation, translation or combination of both.
Correct choice is E
A manager started a meeting with his staff at 9:30.The meeting ended at 10:25.How long did the meeting last
Answers
How long the meeting last = End time - Starting time
= 10:25 - 9:30
= 9:85 - 9:30 [I converted 10:25 to make it easier to see the
subtraction. This is posibble because 1hr = 60mins]
= 55 mins
Please help !!!!!!!!!!
Answers
Answer:
100, -20 times time -5 makes the negatives turn it positive
Which of the following rational number between 3/7 and 7/8 ?
13/56
19/56
27/56
53/56
Answers
Answer:
Step-by-step explanation:
There are two ways to do this. You could use your calculator to find out the decimal numbers that are equivalent to the two given fractions. Then check which one of the givens falls between these two numbers. I wouldn't do it that way -- not when you are told that the answer has 56 as the denominator. So ...
The best way to do it is to change the two givens so that they have a denominator of 56
3/7 = 3*8/7*8 = 24 / 56
7*7 / 7*8 = 49 / 46
So you need a number that is between 49 and 24
There is only one 27 / 56
PLEASE HELP ME!!! BOTH PICTURES ARE RELATED!
Answers
Answer:
the answer is 22 percent which is science
Answer:
100 marks have been obtained in the hindi subject.
Step-by-step explanation:
First you have to find how many marks are obtained by one degree. So you have:
450marks/360°=1.25marks/degree
Then you have to find how many marks are obtained for each subject.
1.25marks/degree×80°= 100 marks
1.25×72= 90 marks
1.25×70= 87.5 marks
1.25×90= 112.5 marks
1.25×48= 60 marks
100+90+87.5+112.5+60=450 marks
QUICK: Please solve this for me plz
Answers
Answer: y: 5.5
Step-by-step explanation: combine 3/2 and x
y=3/2+ 4=5.5