Answer:
Bottom left choice
Step-by-step explanation:
SSS congruence is side-side-side congruence, which is a method to prove triangles congruent by all three sides of the triangle being congruent. The other choices all involve congruent angles. Therefore, the bottom left choice is the best answer.
Also, notice that the bottom left choice shows which side is congruent to which. All three sides of one of the triangles are shown to be congruent with the corresponding side to the other triangle, therefore, congruent by SSS.
I hope this helps! :)
Answer:
Part A: 8b -12c -16
Part B: 4(2b - 3c -4)
Part C: 36
Step-by-step explanation:
Part A:
5b + 3c - 20 + 3b - 15c + 4
= 8b -12c -16
Part B:
Factorising 8b -12c -16
= 4(2b - 3c -4)
Part C:
= 4[2(2)-3(-3)-4)]
= 4[4+9-4]
= 4[9]
= 36
Answer:
The answer is C
Step-by-step explanation:
Both f(x) and g(x) have a domain of [0,infinite). and a range of [0, infinite).
Answer:
8 cm
Step-by-step explanation:
Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.
Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)
(√32)² + (√32)² = c²
(note: the square and the square root cancel out)
32 + 32 = 64
c² = 64 ∴ c = √64 which is 8
Hope this helps!
Answer:
Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644
Step-by-step explanation:
The cost equation is given as:

This is a quadratic equation in general form, which is:

Matching, we can say:
a = 0.04
b = -5
c = 800
The minimum occurs at 
and the minimum value would be to place that "x" value into the equation.
First, we find the minimum using values of a and b:

Plugging this into original, we get:

Rounding off to nearest whole number, we can say:
Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644