B is the correct answer distributive property
K=2
- A'=2(2.5)=(4,10)
- B'=2(1,2)=(2,4)
- C'=2(3,1)=(6,2)
Translation of 2 units left means change in x
- A''=(4-2,10)=(2,10)
- B"=(2-2,4)=(0,4)
- C"=(6-2,2)=(4,2)
Translation of 1 units up means change in y
- A'''=(2,10+1)=(2,11)
- B'''=(0,4+1)=(0,5)
- C'''=(4,2+1)=(4,3)
Answer:
∠B = 22°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°, hence
120 + x + x + 16 = 180
2x + 136 = 180 ( subtract 136 from both sides )
2x = 44 ( divide both sides by 2 )
x = 22 = ∠B
Answer:
False
Step-by-step explanation:
Use the order of operations
45 * 89 = 4005
4005 + 67 = 4072
55 - 56 = -1
4072 < -1
The answer is false.
Given:
Equation of line
.
To find:
The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.
Solution:
The given equation of line can be written as

Slope of line is



Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is


![[\because m_1=\dfrac{7}{4}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20m_1%3D%5Cdfrac%7B7%7D%7B4%7D%5D)
Now, the slope of perpendicular line is
and it goes through (-21,2). So, the equation of line is






Therefore, the required equation in slope intercept form is
.