Answer:
3
Step-by-step explanation:
3 is a possible number of distinct real roots for a cubic function.
The maximum possible number of distinct roots are equal to the degree of any polynomial function.
Hence quadratic function has 2 roots
Cubic has 3
Linear has 1
For line B to AC: y - 6 = (1/3)(x - 4); y - 6 = (x/3) - (4/3); 3y - 18 = x - 4, so 3y - x = 14
For line A to BC: y - 6 = (-1)(x - 0); y - 6 = -x, so y + x = 6
Since these lines intersect at one point (the orthocenter), we can use simultaneous equations to solve for x and/or y:
(3y - x = 14) + (y + x = 6) => 4y = 20, y = +5; Substitute this into y + x = 6: 5 + x = 6, x = +1
<span>So the orthocenter is at coordinates (1,5), and the slopes of all three orthocenter lines are above.</span>
Answer/Step-by-step explanation:
✔️As a set of order pairs, the mapping can be represented as (x, y), where x = input and y = output.
Thus:
{(1, 6), (2, 6), (3, 6), (4, 8)}
✔️As a table we have input as x, and y as output, such as:
x | y
1 | 6
2 | 6
3 | 6
4 | 8
Answer:
55 mph
Step-by-step explanation:
220m per 4 hours
so 220 devieded by 4 gives u your answer
Answer:
<em>97.5 sq. ft.</em>
Step-by-step explanation:
Im presuming the question asks to find area of the shaded region.
First of all, the total figure is a rectangle. We can write an expression(in words) for the shaded area.
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
Now, we find respective areas.
Area of rectangle:
length * width = (5+10) * (12) = 15 * 12 = 180
Area of Small Triangle (white):
A = (1/2) * base * height = (1/2) * 5 * (12-3) = (1/2) * 5 * 9 = 22.5
Area of Large Triangle (white):
A = (1/2) * base * height = (1/2) * 10 * (12) = 60
Now, we find area of shaded region:
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
<em>Shaded Area = 180 - 22.5 - 60 = 97.5 sq. ft.</em>