Answer:
closure
Step-by-step explanation:
The property is actually a property <em>of the set of polynomials</em>, rather than a property of <em>multiplication</em>.
The set of polynomials is closed under the operation of multiplication. We call that property <em>closure</em>.
Answer:
a
Step-by-step explanation:
Recall that the "point-slope" form of a linear equation may be expressed as
y = mx + b,
where m is the gradient.
If m is negative, the gradient is negative.
If m is positive, the gradient is positive.
In our case, if we consider option A,
x + 3y = -2 (rearranging)
3y = -x -2
y = (-1/3) x - (2/3)
if we compare this to the general equation at the top, we can see that
gradient, = m = (-1/3) which is negative.
hence option a has a negative gradient.
Answer:
x = 3.4
y = 1.4
Step-by-step explanation:
2x + 3y = 11
2y = 13 – 3x, then y = (13 - 3x)/2
substitute for y:
2x + 3((13 - 3x)/2) = 11
reduce:
2x + (39 - 9x)/2 = 11
reduce:
2x + 19.5 - 4.5x = 11
subtract 19.5 from both sides of the equation and combine for x:
-2.5x = -8.5
divide both sides by -2.5:
x = 3.4
y = (13 - 3(3.4))/2 = (13 - 10.2)2 = 1.4
Given:
Net of a triangular prism
To find:
Which equation can be used to calculate the surface area of the triangular prism.
Solution:
Using formulas:
Area of rectangle = length × width
Area of triangle = 
Area of left triangle = 
Area of right triangle =
Area of bottom = 5 × 10
Area of Middle = 12 × 10
Area of top = 13 × 10
Surface area of triangular prism:
Surface area = Area of left triangle + Area of right triangle + Area of bottom + Area of middle + Area of top
Replace multiplication by brackets.
The equation can be used to calculate surface area of triangular prism is
.
Part a:-
The base of each triangle is 4 inches long.
Their height is 3/2 * 4 = 6 inches.
b
The combined area of the triangular faces = 4 * 1/2 * 4 * 6 = 48 sq ins
c
Surface area of the pyramid = 48 + area of base = 48 + 16 = 64 sq ins.
