The corresponding segments WX and ZY in the image are parallel.
When a shape is translated from location to another, the size and shape of the figure do not change. Therefore, lines that are corresponding are still parallel.
We have been given an expression
. We are asked to find the solution to our given expression expressed as scientific notation.
Let us simplify our given expression.
Using exponent property
, we will get:



Now to write our answer in scientific notation, we need our 1st multiple between 1 and 10. So we will rewrite our expression as:



Therefore, our required solution would be
.
Answer:
31/40
Step-by-step explanation:
3/8=15/40
2/5=16/40
15/40+16/40=31/40
Answer:
(5, 0 )
Step-by-step explanation:
Given the 2 equations
y = x² - 2x - 15 → (1)
y = 8x - 40 → (2)
Substitute y = x² - 2x - 15 into (2)
x² - 2x - 15 = 8x - 40 ( subtract 8x - 40 from both sides )
x² - 10x + 25 = 0 ← in standard form
(x - 5)² = 0 ← in factored form, thus
x - 5 = 0 ⇒ x = 5
Substitute x = 5 into (2) for corresponding value of y
y = 8(5) - 40 = 40 - 40 = 0
Solution is (5, 0 )
It is given in the question that
After being discounted 40%, a weather radio sells for $35.97.
It means the weather radio sells at a 60% of original price.
Let the original price be $x.
Therefore according to the question,

Therefore the original price of the weather radio is $59.95.