Answer:
#1
<u>Correct choice is </u>
#2
<u>Correct choice is</u>
#3
<u>Correct choice is</u>
#4
<u>Correct choice is</u>
- B. ∠WYX and ∠WYZ are linear pairs
#5
<u>Correct choice is</u>
The coordinates of B are
.
Solution:
Given A(2, –1), B(x, y) and C(4, 2)
AB is a line segment C is a point on AB.
AC : CB = 3 : 1
To find the coordinates of B:
Section formula:
The point
divides the line segment
and
in the ratio
m : n are 
Here,
and m = 3, n = 1
Using section formula,

Substitute the given values in the section formula.


Equate the x-coordinates and y-coordinates.




Hence the coordinates of B are
.
Answer:
B x^9 ∛ y
Step-by-step explanation:
(x^27 y) ^ (1/3)
x^27^(1/3) y^(1/3)
We can distribute the exponent a^b ^c = a^(b*c)
x^(27*1/3) y^(1/3)
x^9 y^(1/3)
Subtracting 4 from both sides of the equation ¹/₂x = -¹/₂ gives us; ¹/₂x - 4 = -¹/₂ - 4
<h3>How to use subtraction property of equality?</h3>
We want to simply the expression which is;
¹/₂x = -¹/₂
Now, when we subtract 4 from both sides, it means we are using subtraction property of equality which states that subtracting the same value from both sides of an equation makes the equation still to be equal. Thus, we have;
¹/₂x - 4 = -¹/₂ - 4
Read more about Subtraction Property of Equality at; brainly.com/question/1601404
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