Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Area of triangular base = 12 sq. inches
Height of a three dimensional object = 8 inches
We need to find the Volume of that object.
As we know that "Volume = Area of base × Height "
So, it becomes,

So, the volume of object is 96 cubic inches.
Hence, Option 'D' is correct.
Answer:
y = (x - 4)² - 25
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
y = (x + 1)(x - 9) ← expand factors using FOIL, thus
y = x² - 8x - 9
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
y = x² + 2(- 4)x + 16 - 16 - 9
= (x - 4)² - 25 ← in vertex form
Answer:did you check and see if anybody asked this question before??
Step-by-step explanation:
Answer:
Step-by-step explanation:
The inequality y - x < -3 should be solved for y, as follows:
Add x to both sides, obtaining:
y < x - 3
Note that this y < x - 3 has the form y = mx + b, which represents a straight line. In this case the straight line would be y = x - 3, meaning that the slope of this line is 1 and the y-intercept is -3.
Because y < x - 3 involves the inequality symbol <, draw a dashed line, not a solid line. The solution set consists of all points on the graph BELOW this dashed line y < x - 3.
So probability is (disred outcomes) divided by (total possible outomces
so
hearts and clubs are 2 out of 4 total suits and since there are the same number of cards per suit, it simplifies
2=desrired oucomes
4=total possible
2/4=1/2=0.5=50%
answer is 1/2 or 0.5 or 50%