ANSWER: Y=-2x-6
EXPLANATION:
(2- -8)/(-4-1)= 10/-5= -2
2=-2(-4) +b
2= 8 + b
b=-6
Answer:
Step-by-step explanation:
The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.
The volume of the square prism is given by 
, where 
is the base length and 
is the height. Substituting given values, we have: 
The volume of a trapezoidal prism is given by 
, where 
and 
are bases of the trapezoid, 
is the length of the height of the trapezoid and is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (
) multiplied by the trapezoid's height ().
Substituting given values, we get:
Therefore, the total volume of the composite figure is 
(ah, perfect)
Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:
Answer:
The equivalent expression is - 25n - 2 and it matches with option D.
Step-by-step explanation:
We have to simplify and create the equivalent expression for
{- 2(- 5n + 6) + 5(2 - 7n)}
Now, {- 2(- 5n + 6) + 5(2 - 7n)}
= 10n - 12 + 10 - 35n
= - 25n - 2
Therefore, the equivalent expression is - 25n - 2 and it matches with option D. (Answer)
The hypotenuse has got to have the longest side in a right angled triangle.
Say, A=Adjacent, O=Opposite, H=Hypotenuse
A²+O²=H²
Therefore,
A²<H²
O²<H²
As this is the case:
H>A
H>O
Answer:
12
Step-by-step explanation:
To find the possible combinations
3 sweaters * 4 skirts = 12 combos
