<span>2x - 3y - 3z = 8
We've been given the normal vector to the plane <2, -3, -3> and a point within the plane (1, -5, 3). In general if you've been given both the normal vector <a,b,c> and a point (e,f,g) within the plane, the expression for the plane will be:
ax + by + cz = d
and you can compute d by:
d = ae + bf + cg
So let's calculate d:
d = ae + bf + cg
d = 2*1 + -3*-5 + -3*3
d = 2 + 15 + -9
d = 8
And the equation for the plane is
2x - 3y - 3z = 8</span>
Answer:
1. 4 as that is when he is closest.
2. 3 is when he is waiting as the graph is horizontal showing no movement
3. 4 would change as that is showing his pace walking home if it increased the slope would become steep but if it decreased it would level out more.
Step-by-step explanation:
Answer:
3.78
Step-by-step explanation:
Percentage solution with steps:
Step 1: We make the assumption that 9 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=9$.
Step 4: In the same vein, $x\%=42$.
Step 5: This gives us a pair of simple equations:
$100\%=9(1)$.
$x\%=42(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{9}{42}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{42}{9}$
$\Rightarrow x=466.67\%$
Therefore, $42$ is $466.67\%$ of $9$.
Answer:
Answer is 9
Step-by-step explanation:
Remember PEMDAS???
"parenthesis, exponents, multiplication, division, addition, subtraction"
you would first solve the addition inside of the parentheses (1 + 2 = 3), and from there finish the equation as it's written from left to right.
Answer:
33cm
Step-by-step explanation:
385 / 35 = 11
11 times 3 = 33
