Answer:
d a m i dont even know this
Step-by-step explanation:
Answer: 15.3 miles
Step-by-step explanation:
From the question, we are informed that Martin would like to start training to run a marathon and that first week he runs a total of 15 miles.
We are further told that he would like to run 0.3 more miles each week than the week before. There, the number of miles that Martin will run the second week will be:
= 15 miles + 0.3 miles
= 15.3 miles
Answer:
In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).
Step-by-step explanation:
There is really no need to use any quadratics or roots.
( Consider the same problem on the plain number line first. )
How do you find the number between 2 and 5 which is twice as far from 2 as from 5?
You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get
4=2+23(5−2)
It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then
R=P+23(Q−P)
so in your case we get
R=(0,−1)+23(3,3)=(2,1)
Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)
Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get
s=a+b=2b+b=3b
⇔b=13s⇒a=23s
Answer:
BD = 28
AC = 24
Step-by-step explanation:
Diagonals of a parallelogram bisect each other.
4x − 2 = 3y − 1
3x = 3y − 3
Using elimination to solve the system of equations, subtract the second equation from the first.
(4x − 2) − 3x = (3y − 1) − (3y − 3)
4x − 2 − 3x = 3y − 1 − 3y + 3
x − 2 = 2
x = 4
Substitute into either equation to find y.
3(4) = 3y − 3
12 = 3y − 3
15 = 3y
y = 5
The length of BD is:
4(4) − 2 + 3(5) − 1 = 28
The length of AC is:
3(4) + 3(5) − 3 = 24
We conclude that f(x) is odd, so the correct option is A.
<h3>
Which statement is true?</h3>
f(x) is an odd function if:
f(-x) = -f(x).
f(x) is an even function if:
f(x) = f(-x).
In this case, we know that the function f(x) has the points:
{ (-2, 8), (-1, -3.5), (0, 0), (1, 3.5), (2, -8)}
As you can see:
f(-2) = 8
f(2) = -8
Then:
f(-2) = -f(2)
Also:
f(-1) = -3.5
f(1) = 3.5
Then:
f(-1) = -f(1).
So we conclude that this is an odd function, and the correct option is A.
If you want to learn more about odd functions:
brainly.com/question/2284364
#SPJ1
