Find the coordinate that divides the directed line segment from A(-2,-4) to B(8,1) in the ratio of 2 to 3
Answers
Answer 1
Answer:
we have that A(-2,-4) B(8,1)
let M-------> the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3
we know that
A--------------M----------------------B 2 3 distance AM is equal to (2/5) AB distance MB is equal to (3/5) AB so
step 1 find the x coordinate of point M Mx=Ax+(2/5)*dABx where Mx is the x coordinate of point M Ax is the x coordinate of point A dABx is the distance AB in the x coordinate Ax=-2 dABx=(8+2)=10 Mx=-2+(2/5)*10-----> Mx=2
step 2 find the y coordinate of point M My=Ay+(2/5)*dABy where My is the y coordinate of point M Ay is the y coordinate of point A dABy is the distance AB in the y coordinate Ay=-4 dABy=(1+4)=5 Mx=-4+(2/5)*5-----> My=-2
when you solve a problem by working backward, what does your answer represent? how can you check your answer?
Answers
Lets say you have an addition problem
3 + 7 = ?
To figure that you can just add in your head since its easy.
3 + 7 = 10
You can work backwords to check to see if your awnser is right.
When you work backwards you do the opposite of what you are doing, so if your adding the opposite would be subtracting, and if your multiplying than the opposite would be dividing.
So you could work it out like this:
(Regular⬇️) 3 + 7 = 10 (Backwards⬇️) 10 - 7 = 3
And if you get the same numbers that were in the original awnser than you are correct! Hope this helps!!!!
F(x)=2/x and g(x)=2/x what is f(g(x))
Answers
Answer:
f(g(x)=x
Step-by-step explanation:
Put g(x)=2/x in the place of "x" in f(x)
f(2/x)=2/(2/x)
Cancel 2 with 2 and remaining is 1/(1/x) which is "x"
f(g(x)=x
A circular picture is 8 inches in diameter. Part A What is the area of the picture in square inches? A. 4π square inches B. 8π square inches C. 16π square inches D. 32π square inches Part B A frame that is 2 inches wide surrounds the picture. What is the total area of the picture and the frame in square inches? A. 4π square inches B. 12π square inches C. 36π square inches D. 40π square inches
Part 1: Area of a circle = π r² A = 3.14 * 4² A = 3.14 * 16 in² ⇒ Choice C. A = 50.24 in²
Part 2. Additional 2 inches surrounds the circular picture. radius = 4 + 2 = 6 inches A = 3.14 * 6² A = 3.14 * 36in² ⇒ CHOICE C. A = 113.04 in²
A wide screen television display measures approximately 15 inches high and 27 inches wide. A television is advertised by giving the approximate length of the diagonal of its screen. How should the television be advertised?A) 36 in. B) 31 in. C) 30 in. D) 21 in.
Answers
The answer would be 31 in.
First do the Pythagorean theorem.
225+ 729= 954
Then find the square root of 954 which is 30.88 repeating, so round up to 31 in.
The answer would be B) 31 in.
PLEASE ANSWER ASAP! MUST BE CORRECT! MORE POINTS!
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A proportional relationship between two quantities is one in which the two quantities vary directly with one and other. If one item is doubled, the other, related item is also doubled.
So the answer would be C
But lets see the proof: The first x and y ratio is 2:6 which equals 1:3 The second one is 4:12 which equals 1:3 The third one is 6: 18 which equals 1:3 The fourth one is 8: 24 which equals 1:3
Which means all 4 of the ratios are the same. So therefore the answer is C
A proportional relationship meaning that all the sets are proportional.
A) 2/6 = 0.33 5/8 = 0.625
So, A is a wrong answer.
C) 8/4 = 2 24/4 = 6
4/12 = 2/6 6/18 = 2/6
Therefore, we have a proportional relationship!
Answer:- C.
What is 15 divided by 42?
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Fifteen divided by 42 is about 0.36, if you round it. If not, you get something like 0.357142857 and so on. Hope this helped!