Answer:
9x
Step-by-step explanation:
m=10x-x
10x means x in ten places so, it can be subtracted normally
m=9x
y=0
Definition:An expression is undefined at the value(s) at which the denominator equals zero.
We are to determine the value of y that makes the expression undefined.
We equate the denominator to zero and solve for y.
Therefore, at y=0, the given expression is undefined.
D. (2, 1)
slope = 1/2
y-intercept = 0
Equation: y = 1/2 x
Choice A:
x = 0
y = (1/2)(0) = 0
Choice A does not work.
Choice B:
x = 1/2
y = (1/2)(1/2) = 1/4
Choice B does not work.
Choice C:
x = 1
y = (1/2)(1) = 1/2
Choice C does not work.
Choice D:
x = 2
y = (1/2)(1) = 1
Choice D works.
Answer: D. (2, 1)
General quadratic equation: y = ax² + bx + c.
When x = 0, y = -3.
=> (-3) = a(0)² + b(0) + c, c = -3.
We now have y = ax² + bx - 3.
When x = 2, y = -4.
=> (-4) = a(2)² + b(2) - 3, 4a + 2b - 3 = -4,
4a + 2b = -1.
Our 1st system of equations is 4a + 2b = -1.
When x = 4, y = -3.
=> (-3) = a(4)² + b(4) - 3, 16a + 4b - 3 = -3,
16a + 4b = 0, 4a + b = 0.
Our 2nd system of equations is 4a + b = 0.
Now we solve the system of equations:
4a + 2b = -1
- (4a + b = 0)
=> b = -1
Hence 4a + (-1) = 0, 4a = 1, a = 1/4. (B)
The answer to your question is the letter D. 19.5 u²
Process
1.- Calculate the Area of the rectangle ABCD
Area of a rectangle = base x height
= (4 + 5) x 3
= 9 x 3
= 27 u²
2.- Calculate the area of the large triangle
Area of a triangle = base x height/2
-Substitution
Area of a triangle = (4 + 5) x 3/2
-Simplification
Area of a triangle = 9 x 3/2
-Result
Area of a triangle = 13.5 u²
3.- Calculate the area of the small triangle
Area of the triangle = 4 x 3/2
Area of the triangle = 6 u²
4.- Sum up the area of the triangles
Shaded area = 13.5 + 6 = 19.5 u²