Answer:
(0,0)
Step-by-step explanation:
First think of the form a^2 + 2c + c^2
c in the question is clearly 3.
So we need first to add 8 for both sides to get rid of -8 and then add 9 to complete the square.
So it will be (x^2+3)^2 = 17
So the choice number 3 is the answer.
Hope this helps!
Answer:
Aman's age = 20, Arun's age = 28
Step-by-step explanation:
Let 
= Aman's age
Let 
= Arun's age
- - - -
(Sum of their age is 56 after 4 years in the future)
(Ages are in the ratio 5:7)
Now, we can use substitution to find for Arun's age:
∴ Arun is 
To find for Aman's age, we can use substitution:
∴ Aman is 20
Hope this helps :)
Answer:
First blank: 4
Second blank: 3
Third blank: 8
Step-by-step explanation:
The expressions must be equivalent, yet one must read as 4 times the length of the box.
Looking at the given expression, 12x + 32, both numbers can be evenly divided by 4.
Since the blank spaces contain parenthesis, I can assume the problem is asking us to factor the numbers.
This means we put the number 4 on the outside of the parenthesis to display "4 times the side length."
4 × ? = 12
4 × 3 = 12
Substitute 12 for 3.
4 × ? = 32
4 × 8 = 32
Substitute 32 for 8.
4 (3x + 8)
Answer:
are corresponding angles and are congruent to each other.
are alternate exterior angles and thus congruent to each other.
are interior angles on the same side, and they are supplementary(sum=180°).
Step-by-step explanation:
Given:
Line 
Line 
is traversal.
By angle properties we can name the angle relationship of given angle pairs.
are corresponding angles and are congruent to each other.
are alternate exterior angles and thus congruent to each other.
are interior angles on the same side, and thus they are supplementary.
