Answer:
There are 75 ways to form the committee.
Step-by-step explanation:
The order in which the people are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
Considering the eldest has to be there, 2 men from a set of 6 and 4 boys from a set of 5(excluding the youngest), so:
There are 75 ways to form the committee.
In the slope intercept form, b represents the y intercept.
y = mx +- b
Therefore, if the y intercept is at 6, the formula of the line will look like
<span>y=mx + 6
</span>
This eliminates the first two options,
and
and leaves behind
and
Since the line you indicated is sloping downwards towards the lower right hand corner. It must have a negative slope.
Therefore, the answer must be the 3rd option.
<span>
</span>
Answer:
1) x = -2
Step-by-step explanation:
1) x + 7 + x + 11 = 14
2x + 18 = 14
2x = 14 - 18
2x = -4
x = -4/2 = -2
10x+3 = 3x+24
10x-3x= 24-3
7x=21
X= 21/7
Final answer:
X=3
I’m not so sure of my answer but wish you the best and good luck!!
Answer:
a) (3, -4), (2, 4), (-5, -6)
b) (4, 3), (-4, 2), (6, -5)
Step-by-step explanation:
a) Reflection in the x-axis negates the y-coordinate:
(x, y) ⇒ (x, -y)
(3, 4) ⇒ (3, -4)
(2, -4) ⇒ (2, 4)
(-5, 6) ⇒ (-5, -6)
__
b) Reflection in the line y=x swaps the x- and y-coordinates:
(x, y) ⇒ (y, x)
(3, 4) ⇒ (4, 3)
(2, -4) ⇒ (-4, 2)
(-5, 6) ⇒ (6, -5)
