Answer:
D
Step-by-step explanation:
Firstly,
≤ or ≥ means closed circle, and
< or > means open circle
Now, let's solve the compound inequality:
x - 1 ≤ 7
x ≤ 8
and
2x ≥ 22
x ≥ 11
This solution means "everything left of 8 (inclusive and closed circle)" and "everything right of 11 (inclusive and closed circle)"
Looking at the choices, D is right.
Answer:
B. -√2/2.
Step-by-step explanation:
This is in the third quadrant so the sine will be negative.
The hypotenuse = √ [( -3)^2 + (-3)^2]
= √18 = 3√2.
Therefore the sine = -3 / 3√2.
= -1 / √2
= -√2/2..
Answer:
coordinates for the centroid is at (-3, -4)
Step-by-step explanation:
The centroid of a triangle is simply defined as the center point which is equidistant from the three vertices.
Let's denote the centroid as O. Thus, the coordinates of O will be: (O_x, O_y).
Now, the formula to calculate the centroid of a triangle with coordinates (O_x, O_y) is given by;
For x - coordinate;
O_x = (A_x + B_x + C_x)/3
For y - coordinate;
O_y = (A_y + B_y + C_y)/3
From the question,
A_x = 1
B_x = -10
C_x = 0
A_y = 0
B_y = -6
C_y = -6
Thus;
O_x = (1 - 10 + 0)/3
O_x = -9/3
O_x = -3
Also,
O_y = (0 - 6 - 6)/3
O_y = - 12/3
O_y = - 4
Thus, coordinates for the centroid is at (-3, -4)
Answer:
-36k+(-36)
Step-by-step explanation:
Answer:
NO.
Step-by-step explanation:
The formula of the sides of a right triangle is 
, where c is the longest side. 2 squared is 4. 3 squared is 9. Adding them up gives you 13, and 4 squared is 16. 16 does not equal 13 so no.
