Answer:
54 sq units
Step-by-step explanation:
The triangle at the top (FAB) has a base of 10 and a height of 3. Area of triangle is 1/2bh so 1/2(10 * 3) = 1/2 * 30 = 15 sq units
If you cut off the triangle you have a trapezoid, EBCD. A trapezoid is (b1 + b2)/2 * h, so (6 + 7)/2 * 6 = 13/2 * 6 = 6.5 * 6 = 39 sq units
Add them together: 15 + 39 = 54 sq units
Answer:
Step-by-step explanation:
D = {x E R/ x ≠ 1 and x ≠ - 1}
I Hope I've helped you.
Answer:
Step-by-step explanation:
x+6/11=10/11
This is a linear equation, because x has no power, so it will be solved by making x the subject of the equation.
Make x the subject
x+6/11=10/11
x=-6/11+10/11
x=10/11-6/11
Since both fractions have the same denominator, the LCM remains 11
x=(10-6)/11
x=4/11
To check if the answer is correct, we substitute x for 4/11 in the equation. And both sides of the equation must be equal
x+6/11=10/11
4/11+6/11=10/11
(4+6)/11=10/11
10/11=10/11
The direction vector of the line
L: x=1+t, y=4t, z=2-3t
is <1,4,-3>
which is also the required normal vector of the plane.
Since the plane passes through point (-5,9,10), the required plane is :
Π 1(x-(-5)+4(y-9)-3(z-10)=0
=>
Π x+4y-3z=1
Answer:
A, 14
Step-by-step explanation:
Assuming that she has a total of d dollars, and spends half of it, then we have 1/2d. She then spends <em>another</em> 6 dollars, and therefore we would subtract. She is left with one dollar.
1/2d-6=1
Working backwards, we can solve for d, her total amount of money:
1/2d=7
d=14
<em>I hope this helps! :)</em>
