Answer:
3h² - 11h - 42 = (3x+7)(x−6)
Step-by-step explanation:
We need to find factors of 3h² - 11h - 42. It is a quadratic equation.
We search two numbers such that their product is 42 and sum is 11. So,
3h² - 11h - 42 = 3h² -18x +7x -42
= (3x+7)(x−6)
So, the required factors are (3x+7)(x−6).
Answer:
I don't understand what you're asking
First multiple everything in the parentheses by
3
3 (2x+3)-6=
3(2x)+3(3)-6=
6x+9-6
then add together like terms
6x+9-6=
6x+3
so 6x+3 is your answer
Answer:
<em>79,920 different ways</em>
Step-by-step explanation:
Combination has to do with selection:
If we are to select 3 teachers from a pool of 10 teachers to form a committee, this can be done in 10C3 number of ways.
10C3 = 10!/(10-3)!3!
10C3 = 10!/7!3!
10C3 = 10*9*8*7!/7!3!
10C3 = 10*9*8/3*2
10C3 = 720/6
10C3 = 120 ways
Similarly, selecting five 2 students from a pool of 37 students to form a committee, this can be done in 37C2 difference ways;
37C2 = 37!/(37-2)!2!
37C2 = 37!/35!2!
37C2 = 37*36*35!/35!*2
37C2 = 37*36/2
37C2 = 37 * 18
37C2 = 666 ways
<em>Hence the total number of ways that the 5 committees can be selected is expressed as 10C3 * 37C3 = 120 * 666</em>
<em> 120 * 666 = 79,920 ways</em>
Answer:
19.7 m
Step-by-step explanation:
Draw a circle to represent the ferris wheel with a 10.2 m radius. Draw a horizontal line through the circle center horizontal to the ground (at 13.1 m). Now draw a line from the center of the circle (ferris wheel) upward at 140 degrees until you reach the edge of the circle. Draw a line down from that point to the horizontal line at This is your right triangle to solve.
Hypotenuse is 10.2 m (radius of circle)
The angle of the triangle the supplementary angle of 140 degrees. 180-140=40 degrees
sin 40 degrees=rise /radius=rise/10.2
sin 40=0.6428=rise/10.2
rise=10.2(0.6428)
rise=6.6 m
13.1+6.6=19.7 m
