Answer:
0
Step-by-step explanation:
3x - 9 if x = 3
Substitute:
3(3) - 9 =
9 - 9 = 0
This can be written as a function: f(x) = 3x - 9
f(3) = 3x - 9
f(3) = 3(3) - 9
f(3) = 9 - 9
f(3) = 0
-Chetan K
Answer:
2
Step-by-step explanation:
Neither P, nor A are on the sketch
I guess P is the upper right corner of the rectangle
and A=(0,1)
P belongs to the line going through (1,0) and B(0,y)
<span>but we don't know the y-coordinate of B </span>
<span>the triangle is right and isosceles, so pythagoras a²+a²=2² ... 2a²=4 ... a²=2 ... a=sqrt2 </span>
now look at the right triangle BOA
<span>his hypotenuse is AB=sqrt2 and the <span>the kathete</span> OA is 1 </span>
so y²+1²=(sqrt2)² ... y²+1=2 ... y²=1.. y=1
so the coordinates of B are (0,1)
the line going through (1,0) and (0,1) is L(x)=-x+1
P belongs to this line, so the coordinates of P are P(x,-x+1) (0<x<1)
b) so if that's P, the height of the rectangle is -x+1 and the width=2x
<span>so its area A(x)=2x*(-x+1)= -2x²+2x
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
</span>
For x +iy absolute value = √(x² + y²)
Absolute value of -4-√2i = -4-i√2, comparing x = -4, y= -√2
<span>
Absolute value = </span>√( (-4)² + (-√2)²),
(-4)² = (-4)*(-4) = 16, (-√2)² = -√2 * -√2 = 2
<span>
= </span><span>√( (-4)² + (-√2)²)
</span><span>
</span>= √(16 + 4) = √20
√20 = √(4*5) = √4 * √5 = 2√5
Absolute value = <span>2√5</span>
Answer:
Answer:
3
×
3
×
4
×
2
=
72
Explanation:
Let's look at the 3 sandwiches and 3 soups first and then expand the calculation. There are 9 ways I can have one of the sandwiches and 1 of the soups:
⎛
⎜
⎜
⎜
⎜
⎝
0
Soup 1
Soup 2
Soup 3
Sandwich 1
1
2
3
Sandwich 2
4
5
6
Sandwich 3
7
8
9
⎞
⎟
⎟
⎟
⎟
⎠
And so we can see that we multiply the number of sandwiches and the number of soups to get the total number of ways to get one of each.
The same works for more categories of choices, and so we multiply the 3 sandwiches, the 3 soups, 4 salads, and 2 drinks to get:
3
×
3
×
4
×
2
=
72
