Step-by-step explanation:
if parabola has a vertex not in x-axis, it should have 2 x intercept
x-vertex = -2
first x intercept = 3
second x intercept should -7
so the equation will like this
y = a(x-x1)(x-x2)
y = a (x-3)(x+7)
y = a(x² + 4x - 21)
5 = a((-2)² + 4(-2) - 21)
5 = a(4 - 8 - 21)
5 = a(-25)
a = 5/(-25)
a = -1/5
then the equation is
y = (-1/5)(x² - 4x - 21)
or you can write as
y = -x²/5 + 4x/5 + 21/5
or as this one
5y = -x² + 4x + 21
Answer:
D) (-2, -3)(-4, -3)(-2, -9); because corresponding pairs of sides and corresponding pairs of angles are congruent
Step-by-step explanation:
For triangles to be congruent, it is not enough that corresponding angles are congruent. In addition, there must be at least one pair of corresponding sides that are congruent. (Then all pairs will be congruent.)
The points listed in choices B and D are points that form a right triangle with leg lengths 2 and 6. However, choice B only refers to the angle measures, and not the sides. Choice D is the correct one.
So, firstly, in order for us to know how much is each baseball card pack, we divide 12 dollars by 4 and we get 3. Therefore, each baseball card pack costs $3. So for 21 dollars, he can purchase 7 baseball card packs. 21 divided by 3 is 7. Hope this answers your question. Have a great day!
Given :
Two equations :
-8x + 3y = -17 ....1)
3x - y = 7 ....2)
To Find :
The solution of the system.
Solution :
Multiplying equation 2) by 3 and adding with equation 1), we get :
(-8x + 3y) + 3(3x - y) = -17 + 21
x = 4
Putting above value of x equation 2) we get :
12 - y = 7
y = 5
Therefore, solution of system is ( 4,5 ).
