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
PLEASE EXPLAIN YOUR REASONING!!
If a loan is $2,000.00 at 12 percent annual interest and the loan was made on June 15 and due on December 15, what is the ordinary interest?
A. $72.00
B. $24.00
C. $120.00
D. $240.00
Answers
Answer:
$120.00
Step-by-step explanation:
2000/100 = $20 = 1%
20x12 = $240 = annual intrest = 12m
June 15 - December 15 = 6m
240/2 = $120 for half a year intrest!
Answer:
$120.00
Step-by-step explanation:
The cost of a long distance call is $1.25 for the
first three minutes and $.15 for each additional
minute.
1. Which of the following equations gives the total
cost of a phone call, y, in terms of the total number
of minutes, x?
(A) y = 0.15x +1.25
(B) y=1.25.r+0.15
(C) y = 0.15(x-3)+1.25
(D) y =1.25(x-3)+0.15
(E) y = 0.15r+(3–1.25)
Answers
the moons gravity is weaker than that of the earth
if a feather dropped on the moon falls 81.25 cm in 1 second, calculate the acceleration due to gravity on the moon, expressed in m/s/s
Answers
We want to find the moon's gravitational acceleration.
With the given information, we will see that the gravitational acceleration on the moon is: g = 1.625 m/s^2
We know that in a place with a gravitation acceleration g, if you drop something from a height H, the position equation of that object will be given by:
p(t) = (-g/2)*t^2 + H
In this case, we know that a feather falls 81.25cm in one second.
First, we can define H = 0 (because we can put the zero of the position where we want to)
Then if after one second the feather falls 81.25cm = 0.8125 meters, we need to solve:
p(1s) = -0.8125 m = (-g/2)*(1s)^2
Where the negative sign comes because the feather "falls" and we define the negative position as below.
Also notice that we did a change of units from centimeters to meters, by knowing that:
100cm = 1m
then:
81.25cm = 0.8125m
Now we just need to solve:
-0.8125 m = (-g/2)*(1s)^2
0.8125 m = (g/2)*(1s)^2
2*0.8125 m = (g)*1s^2
1.625 m = g*1s^2
(1.625 m)/(1 s^2) = g
We then can conclude that the moon's gravitational acceleration is:
g = 1.625 m/s^2
If you want to learn more,, you can read:
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I need help for all of them. I don’t understand how to do anything of them and i’m really confused
Answers
Answer:
steps below
Step-by-step explanation:
1) f(x) = (-3ax⁴ + ax² +x) / (2x⁴ + x³ - ax² + 8x) ... degree of the denominator = degree of the numerator (-3a) / 2 = 5 / 4
-12a = 10
a = - 5/6
2) 3-n > n+ 10 ... degree of the denominator < degree of the numerator
2n < -7
n < - 3.5
The largest inter value is -4
3) f(x) = (x²+3x-4) / (2x²+7x-10)
f(2) = (2²+3*2-4) / (2*2²+7*2-10) = 6 / 12 = 1/2
x->∞ : divide x² both numerator and denominator, any number/ x -> 0
f(x) = (1 + 3/x - 4/x²) / (2 + 7/x - 10/x) = (1 + 0 - 0) / (2 + 0 - 0) = 1/2
[tex]\lim_{x \to \infty} f(x) = f(2)[/tex] = 1/2
what is the range in kilometers walked for charity
Answers
Answer:
Other events (such as charity walks) range from 20km to 100km taking a variety of times depending on the fitness and experience of the walker (average time on Oxfam 100km walk is 28-32 hours).
Step-by-step explanation:
yw!
What can divided 36 and 99
Answers
Step-by-step explanation:
GCF of 36 and 99 is the largest possible number that divides 36 and 99 exactly without any remainder. The factors of 36 and 99 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and 1, 3, 9, 11, 33, 99 respectively.
I was going to just say the answer was 3 but the other person put multiple answers.So they have the correct answer.Good job!
So sánh: 2009^20 và 20092009^10
Answers
Step-by-step explanation:
I can't understand the question plz try again
Error Analysis The solution shown for the equation is
What is the error?
-7(2-1) - 21
-14-7-21
- 7 = 35
r-5
The solution is (Type the value of r)
Answers
-14+7-21
-7-21
-28
Also where did r come from you asking 2 different questions
About How Much Greater Is The Area Of The Largest Ocean Than The Area Of The Smallest Ocean?
Answers
The Pacific Ocean is the largest and deepest of the world ocean basins. Covering approximately 63 million square miles.
Arctic Ocean
The Central Arctic Ocean is the world's smallest ocean and is surrounded by Eurasia and North America.
(5.4 million square miles), is the world's smallest ocean.
Knowing that.... 63 - 5.4 = 57.6
57.6 million square milessomeone please help me on this
Answers
Answer:
5.3 yds
Step-by-step explanation:
12/9=1.3
1.3 x 4 = 5.3
hope this helps :)
please crown me brainliest!!!
What are the x- and y-intercepts of f(x)=x^2-49?
Answers
(7,0),(−7,0)(7,0),(-7,0)
y-intercept(s):
(0,−49)
Simplify this expression. Assume that x is nonzero.
x^-8x^4=? (Type exponential notation with positive exponents.)
Answers
Answer: x-4 or it can be oppisite of the number i said ike -4x
Step-by-step explanation: x-8x4 combine exponents you get
How to solve 35 divided 10?
Answers
Answer:
Here we will show you step-by-step with detailed explanation how to calculate 35 divided by 10 using long division.
Before you continue, note that in the problem 35 divided by 10, the numbers are defined as follows:
35 = dividend
10 = divisor
Step-by-step explanation:
ywy
The solution to the expression 35 divided by 10 is 3.5
Given data:
The first number is represented as p.
The value of p = 35
The second number is represented as q.
The value of q = 10
Now, the expression is 35 divided by 10
So, [tex]A=\frac{p}{q}[/tex]
To solve 35 divided by 10, yu perform the division operation as follows:
Divide 35 by 10:
35 ÷ 10 = 3.5
Hence, 35 divided by 10 equals 3.5.
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Can someone please help me with one of these problems? If you can do both, it'd be even better. Thanks!
Answers
Answer:
4:3
Step-by-step explanation:
that means red:yellow
I HOPE IT HELPED YOU
MARK ME AS BRAINLIST
What would be the nearest thousand in this Equation 7277
Answers
7000 Hope this helps.
59 out of 95 students are going on a field trip. What is the ratio of the number of students who are staying at school to the number of students who are going on the field trip?
Answers
Answer:59:95
Step-by-step explanation:
Please solve the problem and show all steps, thank you.a-c=d+r, for a
Answers
Answer:
a = d + r + c
Step-by-step explanation:
a - c + c = d + r + c
a = d + r + c
When 3 times a number is added to the square of the number, the result is 40. Determine the number
Answers
Answer:
5 or -8
Step-by-step explanation:
[tex](3 \times x) + x {}^{2} = 40[/tex]
[tex]3x + {x}^{2} = 40[/tex]
[tex] {x}^{2} + 3x - 40 = 0[/tex]
using factorization method
[tex]( {x}^{2} + 8x) ( - 5x - 40) = 0[/tex]
[tex]x(x + 8) - 5(x + 8) = 0[/tex]
[tex](x - 5)(x + 8) = 0[/tex]
[tex]x - 5 = 0[/tex]
or
[tex]x + 8 = 0[/tex]
[tex]x = 5[/tex]
or
[tex]x = - 8[/tex]
8. 8(x) = 2x² + 10x; 8(-4)
Answers
Answer:
x = {5.701562119, -0.701562119}
If a car top speed is 180km/h how far will it go in 3 hours
Answers
Determine the slope of the line in the graph below.
Answers
Answer:
Step-by-step explanation:
jnj
Answer:
I'm pretty sure it's 5
Step-by-step explanation:
It's 5 if: (please confirm before you answer it--the picture is blurry and it's hard to tell).
The line appears to intersect the origin (0,0) and (2.5,12.5).
Slope is rise over run, so if you take the difference in y value and divide it by the difference in x value, you get the slope.
solve 4(a-3) = 22
solve 5(x -6) = 65
with explanation, please
giving 20 points
Answers
Step-by-step explanation:
4(a-3)=22
a-3=4-22
a-3=18
a=18+3
a=21
5(x-6)=65
x-6=65-5
x-6=60
×=60+6
x=66
hope it will help u...............
Answer:
a = [tex]\frac{34}{4}[/tex]
x = 19
Step-by-step explanation:
First equation
Expand the brackets
4(a-3) = 22
4a - 12 = 22
Add 12 to both sides
4a - 12 + 12 = 22 + 12
4a = 34
Divide both sides by 4
4a ÷ 4 = [tex]\frac{34}{4}[/tex]
a = [tex]\frac{34}{4}[/tex]
Second equation
Expand the brackets
5(x - 6) = 65
5x - 30 = 65
Add 30 to both sides
5x - 30 + 30 = 65 + 30
5x = 95
Divide both sides by 5:
5x ÷ 5 = 95 ÷ 5
x = 19
Hope this helps!
Reflect the point over the y axis. (8, -3)
Answers
Answer:
-8, 3
Step-by-step explanation:
Reflections formula
Y-axis (-x, y)
X-axis (x, -y)
Answer:
https://scratch.mit.edu/projects/580972810/
Step-by-step explanation:
This website is a link to a Scratch project. It's mine.
I made this because I couldn't do it on Brainly.
This is NOT a scam. I promise.
It will have a tiny purple ball which is the oringinal, and a green one which is the reflected.
In an unknown planet, a rock with a mass of 10 kg has a weight of 20 N. What is the gravitational acceleration of objects near the surface of the unknown planet?
Answers
Answer:
The gravitational force between a mass and the Earth is the object’s weight. Mass is considered a measure of an object’s inertia, and its weight is the force exerted on the object in a gravitational field. On the surface of the Earth, the two forces are related by the acceleration due to gravity: Fg = mg. Kilograms and slugs are units of mass; newtons and pounds are units of weight.
You can use Newton’s law of gravitation to get the acceleration due to gravity, g, on the surface of the Earth just by knowing the gravitational constant G, the radius of the Earth, and the mass of the Earth. The force on an object of mass m1 near the surface of the Earth is
F = m1g
This force is provided by gravity between the object and the Earth, according to Newton’s gravity formula, and so you can write
Step-by-step explanation:
What is a rule that describes the translation that maps triangle ABC onto triangle A’B’C’?
Answers
Answer:
I think its C
Step-by-step explanation:
Answer:
the answer is c. I took the test and got it right!
Solve the system of equations y = 2x + 3 and 4x - 2y = -6 using a graphical method.
A) (-3/2 , 0)
B) (3/2 , 6)
C) (2 , 7)
D) infinite solutions
Answers
To graph a linear equation, first you plot the y-intercept, then move the point depending on your slope.
First, you need to solve 4x - 2y = -6. So you subtract 4x on both sides, then divide each side by -2. This gives you y = 2x + 3.
Y = 2x + 3 is point (1, 5) on the graph. And since the graphs of the equations are the same, there are infinite solutions.
25
25 raise to power 5 x equals to 625
[tex]25 ^{ 5x = 625 }[/tex]
Answers
Answer:
If you want what x equals it should equal 5^-6
Step-by-step explanation:
A restaurant lost $305 last week from a lack of customers. This week the restaurant gained $53. How much money in total did they make or lose in the last two weeks combined?
Answers
Answer:
-252
Step-by-step explanation:
it's just (-305) + 53
Use compatible numbers to estimate the correct quotient.
7)697
——
A) 90
B) 100
C) 110
D) 120
hi! can someone pls help me w this? i appreciate it! :$
Answers
Answer: A
Step-by-step explanation: A
por que es la mas parecida
Although the actual amount varies by season and time of day, the average volume of water that flows over the falls each second is 3.2 x 10^5 gallons. How much water flows over the falls in an hour? Write the result in scientific notation. (Hint: 1 hour equals 3600 seconds)
Answers
Answer:
1.152 x 10^9 gal/hr
Step-by-step explanation:
Given:
3.2 x 10^5 gal / 1 sec
1 hr = 3600 s
Convert:
[tex]\frac{3.2 x 10^5 gal}{1 sec} * \frac{3600 sec}{1 hr}[/tex]
By this, seconds cancel out leaving us with gal/hr, which is what we need.
= 1152000000
Scientific Notation: 1.152 x 10^9
