The magnitude of a vector is the length of the vector. It is also known as the modulus of the vector. For any vector of the form <a,b>, the length is equal to sqrt(a^2+b^2). Note how this follows from the pythagorean theorem.
Answer:
6x-40=3
Step-by-step explanation:
3/4 x -5 =3/8
Multiply each side by 8 to get rid of the fractions.
8(3/4x -5 ) =8*3/8
Distribute
6x-40=3
Since your second pick is affected by your first pick & your third pick is affected by the first two, it is dependent.
First pick: 18 marbles, 3 are red, so odds are 3/18 = 1/6
Second pick: 17 marbles, 8 are blue, odds are 8/17
Third pick: 16 marbles, 7 are black, odds are 7/16
<span>1/6 * 8/17 * 7/16 = 56/1632 = 7/204 & as mentioned before it's dependent</span>
Answer:
The two numbers are 10 and 6.
Step-by-step explanation:
Let's begin by calling these two numbers x and y, and setting up a system of equations.
x-y=4
x*y=60
Now, you can rearrange the first equation to find the value of x expressed through y.
x=y+4
Now, you can substitute this into the second equation.
(y+4)*y=60
y^2+4y=60
y^2+4y-60=0
(y-6)(y+10)=0
y=6
x=6+4=10
Hope this helps!
Answer:
base number and exponent
Step-by-step explanation: