Answer:
18cm
Step-by-step explanation:
Given:
- The length of AB is 9 centimeters
- A dilation with a scale factor of 2
The length of the image AB after the dilation is applied:
9 x 2 = 18
dilation is used to make an image or in this case AB, with a scale factor of 2 means that its doubling in size. If the scale factor was 1/2 that it would be decreasing in size since it will be half of the original size
Answer:33/9
Step-by-step explanation:
Log10(x+3)-Log10(x-3)=1
Log10((x+3)/(x-3))=1
(x+3)/(x-3)=10^1
(x+3)/(x-3)=10
Cross multiply
x+3=10(x-3)
Open brackets
x+3=10x-30
Collect like terms
10x-x=30+3
9x=33
Divide both sides by 9
9x/9=33/9
x=33/9
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!!
Y = 180 - 51 -56 = 73
x = 180 - 73 - 72 = 35
x = 35 degrees
