ANSWER
EXPLANATION
The given expression is
The greatest common factor is 2.
We factor 2 to obtain:
The expression in the parenthesis is prime.
This means that the quadratic expression in the parenthesis cannot be factored.
Hence the completely factored form is:
Answer:
Step-by-step explanation:
Statment1. BD bisects ∠ABC
Reason1. Given
Statment 2. ∠ABD≅∠DBC (A)
Reason2. Definition of angle bisector
Statment 3. BD≅BD (S)
Reason3. Reflexive propriety
Statement 4. ∠BDA≅∠BDC (A)
Reason 4. Given
Statement 5 ΔABD≅ΔCDB
Reason 5. ASA theorem of congruency
Answer:
For question 1:
The length of hypotenuse expression =√(8^2+9^2)
For question 2:
The expression for length a is
a=√(15^2-4^2)
Step-by-step explanation:
For question 1:
The length of hypotenuse expression =√(8^2+9^2)
For question 2:
Then expression for length a is
a=√(15^2-4^2)
The parent function for this function is
We have to explain how the given function can be obtained from the parent function.
Let y=g(x)
So,
Notice that x in the exponent is multiplied by -1. Multiplying x by -1 implies the reflection of the graph across y-axis.
The function value is multiplied by 3. This suggest a vertical expansion by a factor of 3.
2 is being added to the function value, this implies a vertical shift upwards by 2 units.
So, we can write:
y = g(x) = 3f(-x) + 2
Thus following translations are applied:
a) Reflection across y-axisb) Vertical stretch by a factor of 3c) Upward shift by 2 units
Complete question :
At Alan's auto shop, it takes him 9 minutes to do an oil change and 12 minutes to do a tire change. Let x be the number of oil changes he does. Let y be the number of tire changes he does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Alan can do in less than an hour ( minutes).
Answer:
9x + 12y < 120
Step-by-step explanation:
Given that:
Time taken for oil change = 9 minutes
Time taken for tire change = 12 minutes
x = number of oil changes ; y = number of tire changes
Total hours = 1 hour = 60 minutes
Number of oil and Tyre changes possible in less than an hour
(Number of oil changes * time taken) + (number of tire changes * time taken) less than 60 minutes
9x + 12y < 120
