The person that factored the polynomial did one thing wrong -- they used minus signs when they should've used plus signs. We can figure this out because of the values of the quantities in the original trinomial. Since all of them are positive, we know that either there are two plus signs or that there is a minus and a plus sign with the value to the right of the plus sign being greater than the value to the right of the minus sign. But, that wouldn't work here, so the only thing wrong with this answer is that the plus signs should be minus signs.
16xy, 24x^2y^2 are two expressions with gcf of 8xy.
Answer:
Step-by-step explanation:
Given as :
The distance cover while running = 
= 5 miles
Let The speed for running = 
The distance cover with bike = 
= 80 miles
The speed for biking = 
= 15 mph +
Total Time taken = 5 hours
Now Time = 
∴ 5 hour = 
+ 
Or, 5 hour = 
+ 
Or, 5 hour = 
or, 5 × (
) = 
Or, 
- 
= 0
or, 
= 0
or, 
= 0
Or, 
= 0
Or, 
= 0
Or, 
= 0
∴ = 3 , - 5
So, the running speed = 3 mile per hour
And the biking speed = 15 mph + 3 mph = 18 mile per hour
Hence The running speed of Stu is 3 mile per hour . Answer
Answer:
m<1 = 26°
m<2 = 154°
m<3 = 26°
m<4 = 26°
m<5 = 154°
m<6 = 154°
m<7 = 26°
Step-by-step explanation:
What is required was not stated, however, let's find the value of every angle labelled in this diagram.
✔️m<1 = 180° - 154° (linear pair theorem)
m<1 = 26°
✔️m<2 = 154° (vertical angles theorem)
m<2 = 154°
✔️m<3 = m<1 (vertical angles theorem)
m<3 = 26° (substitution)
✔️m<4 = m<3 (alternate interior angles theorem)
m<4 = 26° (substitution)
✔️m<5 = m<2 (alternate interior angles theorem)
m<5 = 154° (substitution)
✔️m<6 = m<5 (vertical angles theorem)
m<6 = 154° (substitution)
✔️m<7 = m<4 (vertical angles theorem)
m<7 = 26° (substitution)
ANSWER
Vertex form:
Vertex
V(-4,-11)
EXPLANATION
The given expression is
We complete the square to get the vertex form.
Add and subtract half the square of the coefficient of x.
The vertex is
V(-4,-11)
