Answer:
K'(-3,-2) and A'(-2,5)
Step-by-step explanation:
180 degree rotation = (x,y)---(-x, -y)
hence, if k=(3,2)
then k' = (-3, -2)
90 degree rotation clockwise= (x,y)--(y,-x)
hence if, A=(-5 , -2)
then, A'= (-2, 5)
Hey there!!
How do we find the equation of a line ?
Ans : We take the slope and the y - intercept and get them together.
How do you find slopes?
Ans - In order to find slop, we will need to use the slop formula which is
( y₂ - y₁ ) / ( x₂ - x₁ )
The two points shown in the above question are
( 4 , -8 ) and ( 8 , 5 )
y₂ = 5 , y₁ = -8 and x₂ = 8 , x₁ = 4
Now plug in the values:
( 5 + 8 ) / ( 8 - 5 )
13 / 3
Hence, the slope is 13/3
The basic formula : y = mx + b
Where b is the y-intercept and m is the slope.
We have found the slope, hence, the formula would become
... y = 13/3 x + b
Now take a coordinate and substitute it .
I will take ( 8 , 5 )
x = 8 and y = 5
Now plug in the values
... 5 = 13/3 × 5 + b
... 5 = 65/3 + b
Subtract 65/3 on both sides
... 5 - 65/3 = b
... -50/3 = b
Hence, the y-intercept is -50/3
Now plug in all the values to get the total equation...
The final equation : y = 13x/3 - 50/3
... y = 13x - 50 / 3
Hope my answer helps!!
Answer:
246
Step-by-step explanation:
next time use a calculator
divide 492 by 2 and you get 246
divide that by 2 and you get 123
and divide that by 3 and you get 41
Answer:
2x + 70 = 110
x = 20
Step-by-step explanation:
180-110 = 70
70 + 20 + y = 180
y =90
Answer:
60+4
Step-by-step explanation:
<em>Order of Operations</em>
<em>Parenthesis</em>
<em>Exponent</em>
<em>Multiply</em>
<em>Divide</em>
<em>Add</em>
<em>Subtract</em>
<em>First, do exponent.</em>
<em>
</em>
<em>Standard form of 64 is: 60+4</em>
<em>64 is the correct answer.</em>
<em>60+4 is the correct answer.</em>
