We are given the following function:
This function is equivalent to the function:
Together with a translation 5 units in the negative direction of the "x" axis. Since the range of g(x) is all the values of "y" that are smaller or equal to zero, if we translate 5 units in the negative direction of the y-axis the range is:
or in interval notation:
Answer:
170.3 miles per hour
Step-by-step explanation:
Javon won Indianapolis 500 race in 2011 with an average speed of 170.265 miles per hour. What was his average speed to the nearest tenth of a mile per hour?
From the above question, we are asked to approximate to the nearest tenth of a mile.
The number that falls under the tenth of a mile, is the number that is immediately after the decimal.
Hence, for:
170.265 miles per hour:
2 is the number in the tenth place, the number after 2 is 6, it is a number that is higher than 5. So we add 1 to 2
Therefore,
170.265 miles per hour to the nearest tenth of a mile = 170.3 miles per hour.
nearest
X^2 - 4 x = -2
Add 4 to both sides:
x^2 - 4 x + 4 = 2
Write the left-hand side as a square:
(x - 2)^2 = 2
Take the square root of both sides:
x - 2 = sqrt(2) or x - 2 = -sqrt(2)
Add 2 to both sides:
x = 2 + sqrt(2) or x - 2 = -sqrt(2)
Add 2 to both sides:
Answer: x = 2 + sqrt(2) or x = 2 - sqrt(2)
Answer:
By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that 
Step-by-step explanation:
Given that ∠ABC=∠ADC, AD=p and DC=q.
Let us take compare Δ ABC and Δ ADB in the attached file , ∠A is common in both triangles
and given ∠ABC=∠ADB=90°
Hence using AA postulate, ΔABC ≈ ΔADB.
Now we will equate respective side ratios in both triangles.
Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.
Cross multiply
Hence proved.
Zero times, did you word this question correctly?
