Answer:
Step-by-step explanation:
Give the expression ax – c = bx + d, we are isolate x i.e we are to make x the subject of the formula.
ax – c = bx + d
Step 1: subtract bx from both sides
ax – c = bx + d
ax-bx = d+c
Step 2: Factor out x in the left hand side of the resulting expression
x(a-b) = d+c
Step 3: Divide both sides by the coefficient of i.e (a-b)
Hence Victoria can justify the step 3 of her work by dividing both sides of the expression in 2 by a-b
Answer:
s = 21.33*π in
Step-by-step explanation:
Given:
- The complete data is given in the figure (attached):
Solution:
- The bugs lands on the end of the wiper blade furthest to the pivot. The arc length (s) swept by a wiper in one cycle i.e θ = 120° would be given by:
s = 2*r*θ
- Where, r: The distance between the bug and the pivot = 16 in
θ : Angle swept in radians
- The distance travelled by the bug is s:
s = 2*(16)*( 120 / 180 ) * π
s = 21.33*π in
Answer:
$6500
Step-by-step explanation:
Let the amount of money invested by Lian be $x
Interest rate = 5.2% per year
interest earned in first year will be 5.2% of amount of money invested by Lian .
(note: since in first year there will be no interest accrued on interest so interest for first year is simple interest )
interest earned in one year if money invested by Lian is $x
= 5.2% of $x (1)
But , it is given in one year she received interest of 338 dollars
so, 338 dollars must be equal to 5.2% of $x
equating $338 with 5.2% of $x , we have
5.2% of x = 338
=> (5.2/100) * x = 338
=>5.2 x = 338*100
=> x = 33800/5.2 = 6500.
Thus, amount of money Lian invested is $6500.
Answer:
The length side of the pre-image is 16 units
Step-by-step explanation:
we know that
The length side of the image is equal to the length side of the pre-image multiplied by the scale factor
or
The length side of the pre-image is equal to the length side of the image divided by the scale factor
in this problem we have that
The scale factor is 1/2
The length side of the image is 8 units
therefore
8/(1/2)=16 units
The length side of the pre-image is 16 units
